rxEPA
            United States
            Environmental Protection
            Agency
            Health Effects Research    EPA-600/3-79-001 a
            Laboratory        Janua'v 1979
            Research Triangle Park NC 27711
            	i  1	
            Research and Development
Modeling of    r
Simulated          i
Photochemical  '
Smog with  Kinetic
Mechanisms
           Volume 1.
           Interim Report

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                RESEARCH REPORTING SERIES

Research reports of the Office o1 Research and Development, U S  Environmental
Protection Agency, have been grouped into nine series. These nine broad cate-
gories were established to facilitate further development and  application of en-
vironmental technology.  Elimination of traditional grouping  was  consciously
planned to foster technology transfer and a maximum interface in related fields.
The nine series are:

      1   Environmental Health Effects Research
      2   Environmental Protection Technology
      3   Ecological Research
      4.  Environmental Monitoring
      5   Socioeconomic Environmental Studies
      6.  Scientific and Technical Assessment Reports (STAR)
      7   Interagency Energy-Environment Research and  Development
      8   "Special" Reports
      9   Miscellaneous Reports

This report has been assigned to the ECOLOGICAL RESEARCH series. This series
describes research on the effects of pollution on humans, plant and animal spe-
cies, and materials. Problems  are assessed for their long- and short-term influ-
ences. Investigations include formation, transport, and pathway studies to deter-
mine the fate of pollutants and their effects. This work provides the technical basis
for setting standards to minimize undesirable changes in living organisms in the
aquatic, terrestrial, and atmospheric environments.
This document is available to the public through the National Technical Informa-
tion Service, Springfield, Virginia 22161.

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                                         EPA-600/3-79-001a
                                         January 1979
MODELING OF SIMULATED PHOTOCHEMICAL
    SMOG  WITH  KINETIC  MECHANISMS
      VOLUME 1,   INTERIM REPORT
                   by

              G. Z. Whitten
                 H. Hogo
              M. J. Meldgin
              J. P. Killus
              P. J. Bekowies

    Systems  Applications, Incorporated
           950 Northgate Drive
      San  Rafael, California  94903
          Contract No. 68-02-2428
             Project Officer

             Marcia C. Dodge
 Atmospheric  Chemistry and Physics Division
 Environmental Sciences Research Laboratory
Research Triangle Park, North Carolina   27711

 ENVIRONMENTAL SCIENCES RESEARCH LABORATORY
     OFFICE OF RESEARCH AND DEVELOPMENT
    U.S. ENVIRONMENTAL PROTECTION AGENCY
RESEARCH TRIANGLE PARK, NORTH CAROLINA   27711

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                              DISCLAIMER
     This report has been reviewed by the Environmental Sciences Research
Laboratory, U.S. Environmental Protection Agency, and approved for
publication.  Approval does not signify that the contents necessarily
reflect the views and policies of the U.S. Environmental Protection
Agency, nor does mention of trade names or commercial products constitute
endorsement or recommendation for use.

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                                ABSTRACT


     Computer modeling of smog chamber data is  discussed  in  three  parts.
First, a series of detailed chemical  mechanisms were  developed  to  describe
the photochemical  formation of ozone  from nitrogen  oxides  and the  follow-
ing compounds (alone and in various combinations):  formaldehyde,  acet-
aldehyde, ethylene, propylene, butane, 1-butene, trans-2-butene, and  2,3-
dimethylbutane.  The aldehyde mechanisms were verified  independently  using
data from experiments containing only nitrogen  oxides and  the appropriate
aldehyde.  The hydrocarbon mechanisms were then developed  by adding the
chemical reactions detailing the photooxidation steps of  the particular
hydrocarbon to the aldehyde mechanisms.  Second, a  generalized  kinetic
scheme intended for use in models simulating the formation of ozone in urban
atmospheres was refined.  The generalized mechanism includes a  condensed
version of the explicit mechanisms developed in the first  part  plus a semi-
empirical scheme to describe the oxidation of aromatic  hydrocarbons.  Third,
the effects of smog chambers on ozone formation were  examined.   For this part
of the study, similar experiments using nitrogen oxides and  propylene in
eight different smog chambers were simulated.  The  main chamber effects
identified thus far are apparently due to nitrogen  oxides  degassing from
the walls during experiments and differences between  chambers in the  spectral
distribution of ultraviolet irradiation.

     This volume contains all textual material; Volume  2  (Appendix) contains
graphs of measured and simulated pollutant concentrations  for many smog
chamber experiments.  This two-volume report was submitted to the  U.S.
Environmental Protection Agency in fulfillment  of Contract No.  68-02-2428
by Systems Applications, Incorporated.  This report covers the  period
23 August 1976 to 23 August 1978, and work was  completed  as  of  18  August
1978.

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                                CONTENTS


ABSTRACT	     in
FIGURES	     vii
TABLES	     xiv
ABBREVIATIONS  	    xvii
     1.   Introduction 	       1
     2.   Summary of Results, Conclusions, and Recommendations  ...       5
               General conclusions 	       5
               Refinement of explicit mechanisms 	       6
               Refinement of generalized mechanism 	      13
               Study of chamber effects	      14
               Recommendations 	      15
     3.   Background and Approach	      19
               The process of computer modeling	      20
               Approach for mechanism validation 	      22
               The concept of a hierarchy of species	      23
     4.   Treatment of Inorganic Reactions 	      26
               Photolysis reactions	      26
               Chemistry of MONO	      32
               Photolysis of 03	      34
               Photolysis of hydrogen peroxide 	      37
               Reactions of OH- with NO and with N02  	      37
               Reaction of N205 with H20	      37
               Reaction of H02 with N02	      38
               Reactions of 0(1 D)	      39
               Reactions of H02 with NO and with H02	      39
               Reactions of ozone with OH- and with HOX	      40

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              Dark decay of ozone	     40
              Reactions of NO^ with NO and with N02  	     40
              Reaction of CO with  OH-	     41
              The inorganic reactions in the explicit mechanisms.  .     41
     5.    Development and Application of the Explicit Mechanisms  .  .     43
              Formaldehyde	     43
              Acetaldehyde  	     55
              Ethylene	     64
              Propylene and butane	     73
              1-Butene	    119
              Trans-2-butene	    119
              2,3-Dimethyl butane	    127
              Multiple hydrocarbons  	    140
     6.    The Carbon-Bond Mechanism	    189
              The original Carbon-Bond Mechanism	    190
              Formulation of the new version of the  Carbon-Bond
              Mechanism	    208
              Simulations using  the  hew CBM	    228
     7.    Simulation of Propylene/N0x Experiments  in  Several
          Smog Chambers	    254
              Introduction	    254
              Development of a  data  base	    255
              Theoretical  analysis of  particle flow  in  the
              smog  chamber	    261
              Results  of the chamber effects studies	    273
              Concluding remarks	    306.
REFERENCES	    307
                                   vi

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                                 FIGURES

Number                                                                 Page
   1    Schematic diagram of hierarchical  levels  of species
          in photochemical smog	25
   2    Absorption cross sections for photolysis  of 03,
          acetaldehyde, MONO, and N02	28
   3    Relative light intensities in the  range from 300  to
          330 nm for different experiments at UCR	29
   4    Relative light intensities at 320  nm for  different
          experiments at UCR	30
   5    Comparison of carbonyl  photolysis  ratios  used  in  the
          UCR simulations and reported intensities  at  320 nm   	  31
   6    Initial MONO concentrations (expressed as fractions
          of equilibrium concentrations) assumed  for simulations
          of UCR experiments	33
   7    UNC propylene/NO  measurements (8  August  1977) and explicit
                        A
          propylene mechanism predictions  with MONO chemistry
          included (initial MONO concentration of 3 ppb)	35
   8    UNC propylene/NO  measurements (8  August  1977) and explicit
                        A
          propylene mechanism predictions  without MONO chemistry
          (an initial concentration of 1.5 ppb of radical source
          "RX" was included)	36
   9    Pollutant concentrations measured  in an experiment by
          Bufalini, Gay, and Brubaker (1972) and  simulation results—
          PNA chemistry not included	49
                                  VII

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Number                                                                  Page
  10    Pollutant concentrations measured in an experiment
          by Bufalini, Gay, and Brubaker (1972) and simulation
          results--PNA chemistry included 	   50
  11    UCR formaldehyde experiment EC-251:   measurements  and
          simulation results	52
  12    UNC formaldehyde experiment (18 July 1977):  measurements
          and simulation results	56
  13    UCR acetaldehyde experiment EC-254:   measurements  and
          simulation results	61
  14    Simulation results for a UCR ethylene experiment (EC-143)  ...   70
  15    Isopleth diagram of simulated maximum one-hour-average
          ozone concentrations using the ethylene mechanism 	   74
  16    Factorial block of initial concentrations in UCR propylene/
          NO  experiments	82
            y\
  17    Simulation results of a UCR propylene experiment (EC-256)
          for 03, N02, and NO	85
  18    Simulation results of a UCR propylene experiment (EC-256)
          for formaldehyde, propylene, and PAN. .	86
  19    Simulation results of a UCR propylene experiment (EC-256)
          for acetaldehyde and propionaldehyde	87
  20    Simulation results of a UCR propylene experiment (EC-257)
          for 03, N02, and NO	88
  21    Simulation results of a UCR propylene experiment (EC-257)
          for propylene and formaldehyde	89
  22    Simulation results of a UCR propylene experiment (EC-257)
          for PAN and acetaldehyde	90
  23    Simulation results of a UCR propylene experiment (EC-276)
          for 03, N02, NO, formaldehyde, and propylene	91
                                   vm

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Number                                                                  Page
  24    Simulation results of a UCR propylene experiment  (EC-276)
          for acetaldehyde, PAN, methyl  nitrate,  and
          propionaldehyde 	   92
  25    Simulation results of a UCR propylene experiment  (EC-277)
          for 03, N02, and NO	93
  26    Simulation results of a UCR propylene experiment  (EC-277)
          for formaldehyde, propylene,  acetaldehyde, and  PAN	94
  27    Simulation results of a UCR propylene experiment  (EC-277)
          for propionaldehyde	95
  28    Simulation results of a UCR propylene experiment  (EC-278)
          for NCLj NO, 0.,, formaldehyde, and propylene	96
  29    Simulation results of a UCR propylene experiment  (EC-278)
          for acetaldehyde, PAN, methyl  nitrate,  and propionaldehyde.  .   97
  30    Simulation results of a UCR propylene experiment  (EC-279)
          for N02> NO, 03, formaldehyde, and propylene	98
  31    Simulation results of a UCR propylene experiment  (EC-279)
          for acetaldehyde, PAN, and propionaldehyde	99
  32    Simulation results of a UCR propylene experiment  (EC-279)
          for methyl  nitrate	100
  33    Factorial block of initial  concentrations in UCR  butane/NO
                                                                  /v
          experiments	106
  34    Simulation results of a UCR butane experiment (EC-162)	  109
  35    Simulation results of a UCR butane experiment (EC-178)	  114
  36    Simulation results of a UCR 1-butene experiment (EC-123).  ...  124
  37    Simulation results of a UCR trans-2-butene experiment
          (EC-146)	131
  38    Simulation results of a UCR 2,3-dimethylbutane experiment
          (EC-169)	145
                                  IX

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Number                                 .                                 Page
  39    Simulation results of a UCR 2,3-dimethylbutane experiment
          (EC-169) for 2,3-dimethylbutane, acetaldehyde,  and PAN. ...  146
  40    Simulation results of a UCR 2,3-dimethylbutane experiment
          (EC-169) for isopropyl nitrate and 2,3-dimethylbutyl
          nitrate	147
  41    Simulation results of a UCR propylene/butane experiment
          (EC-113) for propylene, 03, N02, and NO	150
  42    Simulation results of a UCR propylene/butane experiment
          (EC-113) for butane and PAN	151
  43    Simulation results of a UCR propylene/butane experiment
          (EC-113) for acetaldehyde and propionaldehyde 	  152
  44    Simulation results of a UCR propylene/butane experiment
          (EC-119) for N02, NO, 03, and propylene	153
  45    Simulation results of a UCR propylene/butane experiment
          (EC-114) for butane and PAN	154
  46    Simulation results of a UCR propylene/butane experiment
          (EC-114) for methyl ethylketone, formaldehyde, and
          acetaldehyde	155
  47    Simulation results of a UCR propylene/butane experiment
          (EC-114) for propionaldehyde, n-butyl nitrate,  and
          butyraldehyde  	  156
  48    Simulation results of a UCR ethylene/propylene experiment
          (EC-145)	161
  49    Simulation results of a UCR propylene/trans-2-butene
          experiment (EC-149) 	  164
  50    Simulation results of a UCR multiolefin experiment
          (EC-150)	170
  51    Simulation results of a UCR multiolefin experiment
          (EC-151)	173

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Number                                                                  Page
  52    Simulation results of a UCR multiolefin experiment
          (EC-152)	177
  53    Simulation results of a UCR multiolefin experiment
          (EC-153)	181
  54    Simulation results of a UCR multiolefin experiment
          (EC-161)	185
  55     Concentrations of various pollutants in simulations  of a
          multiolefin experiment (EC-150) using Mechanisms
          1  and 2	197
  56    Concentrations  of various  pollutants  in simulations of  a
          multiolefin experiment (EC-150) using Mechanisms
          2  and 3	202
  57    Concentrations  of various  pollutants  in simulations of  a
          multiolefin experiment (EC-150) using Mechanisms
          2  and 4	205
  58    Simulation results of a UCR trans-2-butene experiment (EC-T4J6)
          with the Carbon-Bond Mechanism	221
  59    Simulation results of a UCR trans-2-butene experiment (EC-146)
          with the Carbon-Bond Mechanism (trans-2-butene  assumed  to
          be a carbonyl)	223
  60    Simulation results of a UCR multiolefin experiment (EC-152)
          with the Carbon-Bond Mechanism	229
  61    Simulation Results of a UCR toluene experiment (EC-80)  with
          the Carbon-Bond Mechanism	241
  62    Simulation results of a UCR seven-hydrocarbon experiment
          (EC-233) with the Carbon-Bond Mechanism (low aromatic
          mixture)	246
                                  XI

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Number                                                                 Page
  63    Simulation results of a UCR seven-hydrocarbon  experiment
          (EC-245) with the Carbon-Bond Mechanism (high  aromatic
          mixture)	250
  64    Simplified boundary layers	264
  65    Characteristic lengths in  smog chambers  	   265
  66    Transport to the chamber walls	266
  67    Maximum influence of wall  reactions  on ozone concentrations
          during the NO/propylene  irradiations	275
  68    Maximum influence of wall  reactions  on NCL concentrations
          during the simulated NO/propylene  irradiations	276
  69    Maximum influence of wall  reactions  on propylene  concen-
          trations during the NO/propylene irradiations  	   277
  70    Observed diurnal variation in solar  intensity  at  the UNC
          chamber on 9 August 1975	280
  71    Approximations to the observed solar intensity at UNC
          on 9 August 1975	281
  72    Calculated diurnal variation of the  N02  photolysis  rate
          constant (k,) in the UNC chamber on 9  August 1975 	   282
  73    Effect of different NOp photolysis rate  constants on ozone
          concentrations in UNC blue chamber experiment  on
          9 August 1975	284
  74    Effects of different temperature profiles on  simulated
          ozone concentrations	285
  75    Simulation results of a UNC propylene experiment on
          5 November 1976 (blue side) 	   287
                                   XII

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76    Simulation results of a UNC propylene experiment  on
        5 November 1976 (red side)	288
77    Simulation results of an RTI propylene experiment on
        11 October 1976 (chamber 2)	289
78    Simulation results of the ozone behavior in RTI Chambers
                                                       _3
        2 and 4 with the ozone wall reaction at 2.5 x 10
        ppm" min	291
79    Simulation results of the UCR glass chamber experiment
        performed on 23 February 1973	295
80    Simulation results of a UCR glass chamber experiment
        performed on 5 March 1973	296
81    Simulation results of a UCR glass chamber experiment  with
                                             -3    -1
        the formaldehyde photolysis at 3 x 10   min   	297
82    Simulation results of a UCR glass chamber experiment  with
        the N02 photolysis at 0.5 min"1	298
83    Simulation results of propylene/NO  Experiment 11 performed
                                        A
        in the CALSPAN chamber	299
84    Simulation results of propylene/NO  Experiment 15 performed
        in the CALSPAN chamber	300
85    Simulation results of propylene/NO  Experiment 16 performed
                                        A
        in the CALSPAN chamber	301
86    Simulation results of propylene/NO  Experiment 40 performed
                                        /\
        at Lockheed using a cut spectrum	304
87    Simulation results of propylene/NO  Experiment 42 performed
                                        A
        at Lockheed using a full  spectrum	305
                                xni

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                                 TABLES
Number                                                                Page
   1    Inorganic Reactions and Rate Constants in the
          Explicit Mechanisms 	   41
   2    Reactions of Formaldehyde and Acetaldehyde	46
   3    Initial Conditions and Photolysis Rate Constants  for the
          Formaldehyde/NO  Smog Chamber Experiments 	   47
                         J\
   4    UCR Aldehyde Experiments—Simulations and Measurements.  ...   54
   5    Initial Conditions and Photolysis Rate Constants  for the
          Acetaldehyde/NO  Smog Chamber Experiments 	   60
                         /\
   6    Reactions of Ethylene 	   68
   7    Initial Conditions and Photolysis Rate Constants  for the
          Ethylene/NO  Smog Chamber Experiments 	   69
                     A
   8    UCR Ethyl ene Experiments—Simulations and Measurements.  ...   69
   9    Reactions of Propylene	.'	80
  10    Initial Conditions and Photolysis Rate Constants  for the
          Propylene/NO  Smog Chamber Experiments	84
                      J\
  11    UCR Propylene Experiments—Simulations and Measurements  ...  101
  12    Reactions of Butane	103
  13    Initial Conditions and Photolysis Rate Constants  for the
          Butane/NO  Smog Chamber Experiments  	  107
                   /v
  14    UCR Butane Experiments—Simulations and Measurements	108
  15    Reactions of 1-Butene	120
  16    Initial Conditions and Photolysis Rate Constants  for the
          1-Butene/NO  Smog  Chamber Experiments 	  123
                     A
                                  xiv

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Number                                                               Page
  17    UCR 1-Butene Experiments—Simulations and Measurements  ...  123
  18    Reactions of Trans-2-Butene	128
  19    Initial  Conditions and Photolysis  Rate  Constants for
          the Trans-2-Butene/NO  Smog  Chamber Experiments   	  130
                               X
  20    UCR Trans-2-Butene Experiments—Simulations and
          Measurements 	  130
  21    Reactions of 2,3-Dimethylbutane	141
  22    Initial  Conditions and Photolysis  Rate  Constants for the
          2,3-Dimethylbutane/NO  Smog  Chamber Experiments	144
                               X
  23    UCR 2,3-Dimethyl butane Experiments—Simulations and
          Measurements 	  144
  24    Initial  Conditions and Photolysis  Rate  Constants for the
          Propylene/Butane/NO  Smog  Chamber Experiments	149
                             X
  25    UCR Propylene/Butane Experiments—Simulations  and
          Measurements 	  149
  26    Initial  Conditions and Photolysis  Rate  Constants for the
          Ethylene/Propylene/NO  Smog  Chamber Experiments	157
                               /\
  27    UCR Ethylene/Propylene Experiments—Simulations and
          Measurements 	  159
  28    Initial  Conditions and Photolysis  Rate  Constants for the
          Propylene/Trans-2-Butene Smog  Chamber Experiment  	  160
  29    UCR Propylene/Trans-2-Butene Experiment—Simulations
          and Measurements	160
  30    Initial  Conditions and Photolysis  Rate  Constants for the
          Multiolefin/NO  Smog Chamber Experiments  	  169
                        X
  31    UCR Multiolefin Experiments—Simulations and Measurements.  .  169
  32    The Original Formulation of  the  Carbon-Bond Mechanism.  ...  191
                                   xv

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Number                                                                Page
  33    Results of Simulating a Multiolefin Experiment
          With Four Mechanisms	201
  34    The New Carbon-Bond Mechanism	210
  35    Initial Conditions of the Experiments Simulated with
          the Carbon-Bond Mechanism	231
  36    Comparison Between the Carbon-Bond Mechanism and
          Observational Data'	233
  37    Initial Conditions for the Seven-Hydrocarbon/NO
                                                       /\
          Experiments	243
  38    Normalized Initial Conditions for the Seven-Hydrocarbon/
          NO  Experiments	244
            /\
  39    Summary of Data Base for Chamber Effects Study	262
  40    Surface-Related Ozone Decay Parameters for Selected
          Smog Chambers	268
  41    Influence of Chamber Geometry on the Estimation of
          Surface-Related Ozone Destruction	271
  42    Maximum Rate Constants for Hypothetical Wall Reactions
          •in the UCR Chamber	274
  43    Photolysis Rate Constants (Relative to k, = 1) Used in
          Computer Simulations of the NAPCA Runs	293
  44    Photolysis Rate Constants (Relative to k1 = 1) Used in
          Simulations of  Lockheed Chamber Runs 	  303
                                   xvi

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                            ABBREVIATIONS
ALD2   Acetaldehyde                       03
ALD3   Propionaldehyde                    OLE
ALD4   Butyraldehyde                      PAN
AONE   Acetone                            PAR
ARO    Aromatics                          PPN
BLA    Blacklamp irradiation              PROP
BUT    n-Butane                           SCN3
BUTT   1-Butene                           SPN3
BUT2   Trans-2-butene                     SUN
CO     Carbon monoxide                    SUNLAMP
C2N3   Ethyl nitrate                      UCR
C4N3   n-Butyl nitrate
C6N3   2,3-Dimethylbutyl  nitrate          UNCB
DBUT   2,3-Dimethylbutane
EC     Evacuable chamber (at UCR)         UNCR
ETH    Ethylene
FORM   Formaldehyde
HCHO   Formaldehyde
H202   Hydrogen peroxide
MEK    Methylethylketone
MEN3   Methyl nitrate
NO     Nitrogen oxide
NOX    Oxides of nitrogen (NO + N02)
N02    Nitrogen dioxide
Ozone
Olefins
Peroxyacetyl nitrate
Paraffins
Peroxypropionyl nitrate
Propylene
Sec-butyl nitrate
Isopropyl nitrate
Sunlamp irradiation
Sunlamp irradiation
University of California
at Riverside
University of North Carolina
("blue" side of
chamber)
University of North Carolina
("red" side of chamber)
                                xvii

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                               SECTION 1
                              INTRODUCTION

     This report describes the first two  years  of a  three-year study,  spon-
sored by the Environmental Protection Agency (EPA),  to model  the formation
and evolution of photochemical oxidants.   The study  has  three parts:

     >  Development and refinement of chemical  kinetic mechanisms*
        for simulating smog chamber experiments that were  initiated
        with a few simple hydrocarbon species and NO .   This  effort
                                                    A
        is intended to develop greater understanding of  the forma-
        tion of photochemical oxidants, to point out specific chemical
        reactions most in need of further study, and to  support the
        second part of this study.
     >  Refinement of a mechanism for describing the chemical aspects
        of photochemical oxidant formation in the atmosphere.  This
        mechanism is to be incorporated in large air quality  simula-
        tion models used for predicting spatial and  temporal  pollutant
        distributions in the atmosphere.   Consequently,  the mechanism
        must be able to treat complex mixtures  of hydrocarbons yet
        have modest computing requirements.
     >  Analysis o^ the effects of the physical and  chemical  character-
        istics of smog chambers on smog formation and evolution.
        Knowledge of these chamber effects is valuable for validating
        kinetic mechanisms with smog chamber data and for  applying
        mechanisms in atmospheric studies.

     The technical approach in the first part of this study was based  on
simulating smog chamber experiments with explicit kinetic  mechanisms.  An
explicit mechanism for a given chemical system  individually treats  each.
* A chemical kinetic mechanism is a set of chemical reactions and rate
  constants.  From a kinetic mechanism one can derive a set of coupled
  differential equations, which, when integrated using a computer, yield
  concentration/time profiles for the chemical species in the mechanism.
                                    1

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species and reaction thought to be important in that system.   Published
data on reactions and rate constants were used as much as  possible  in
constructing those mechanisms, but, because of gaps in the data,  all
mechanisms contained hypothetical reactions or estimated rate constants.
Simulation results were compared with smog chamber data to evaluate the
hypotheses and estimates and, thus, to develop a deeper understanding  of
the formation of photochemical oxidants.

     In constructing mechanisms we followed the concept of a hierarchy of
chemical species.  Each species can be assigned to a hierarchical level
on the basis of the number of photochemical-oxidant-forming systems in
which it occurs.  NO, N0?, CO, ozone, and some other inorganic species,
for example, occur in every photochemical-oxidant-forming system, and  they
are thus assigned to the lowest level.  Formaldehyde, which occurs  in  every
system except the CO/NO  system, occupies a higher level in the hierarchy.
                       /\
Acetaldehyde occurs in most systems, but not in formaldehyde/NO  or CO/NO ,
                                                               X         A
and so it is at a still higher level.  The above description of the hierar-
chical concept may be slightly ambiguous, but it has the immediate benefit
of suggesting an order for development of explicit kinetic mechanisms.
After constructing and evaluating a mechanism for CO, one can develop  a for-
maldehyde mechanism by adding a few reactions and rate constants to the CO
mechanism, and the same procedure can be used for acetaldehyde.  In validat-
ing each successive mechanism, one can focus attention on the added reactions
and rate constants because the other reactions and rate constants have
already been validated.  Following this procedure reduces the probability
that a complex mechanism, such as that for propylene, contains errors  that
compensate each other in simulations of a set of smog chamber experiments.

     We constructed explicit mechanisms for formaldehyde, acetaldehyde,
ethylene, and five larger hydrocarbons using data from experiments in  the
evacuable smog chamber (EC) at the University of California at Riverside
(UCR) and other  sources for validation.  These mechanisms produced simula-
tions that generally agreed well with measurements and pointed out several

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areas for further research.  The hierarchical  concept has proved very use-
ful, though its application was limited somewhat by the paucity of data  on
formaldehyde and acetaldehyde smog chamber experiments.

     The explicit mechanism work also provided a framework for the second
part of this study, refinement of the Carbon-Bond Mechanism (CBM).
Developed in an earlier SAI study for the EPA  (Whitten and Hogo,  1977),
the CBM is a generalized mechanism—it treats  generalized species rather
than individual compounds, primarily for the purpose of reducing  comput-
ing requirements.  Many generalized mechanisms treat chemically similar
molecules in groups, but the CBM treats chemically similar carbon atoms  in
groups, regardless of the compounds in which they occur.  Our approach to
refining the CBM involved condensing the essential features of the revised
or newly developed explicit mechanisms from the first part of this study.
Because no adequate mechanism exists for aromatic hydrocarbons, we included
some empirical reactions.  The revised CBM was validated using smog chamber
data and was incorporated in the current SAI Airshed Model, which is now
being used to model air quality in Los Angeles, Sacramento, and St.  Louis.

     For the study of chamber effects we used  the explicit propylene mech-
anism to simulate data from propylene/NO  experiments performed in eight
                                        /\
smog chambers.  We also analyzed the relative  speeds of reaction and diffu-
sion to the chamber walls to determine which are rate limiting for various
species.  The simulation results and that analysis were used to evaluate
the effects of different wall materials, light sources, surface/volume ratios,
and other characteristics.  At this point in the study, differences in the
spectral distribution of irradiation between chambers appear to account  for
most of the observed differences in photochemical oxidant formation.

     The organization of this report follows the three-part structure of
the study.  The conclusions and recommendations from the first two years of
this three-year study are summarized in Section 2.  Section 3 discusses  in
general terms the development of chemical kinetic mechanisms using computer
modeling.  Because all mechanisms include the  reactions of NO , HO , and 0  ,
                                                             XX      X

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a separate section (4) is devoted to discussions of recent research on
those reactions and their rate constants.   Section 5 presents in detail
the work on explicit kinetic mechanisms, starting with formaldehyde and
ending with hydrocarbon mixes.  The studies of and refinements in the
Carbon-Bond Mechanism are presented in Section 6.  Section 7 concludes
this volume with a description of the chamber effects study.  Because
the simulation results are voluminous, they are contained in a separate  data
volume, though some are also presented in this volume to clarify or sup-
port points in the text.  In all graphs of simulation results, the symbols
represent pollutant measurements during smog chamber experiments, and the
lines represent simulated pollutant concentrations.

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                                 SECTION 2
           SUMMARY OF RESULTS, CONCLUSIONS, AND RECOMMENDATIONS

     In this section we present general conclusions from this study and
summarize the results of explicit mechanism refinement, Carbon-Bond Mech-
anism refinement, and the study of chamber effects.  We then discuss the
work planned for the coming year and our recommendations for future labor-
atory and modeling studies.

     In computer modeling studies such as the present effort, many
ideas are tried, and large quantities of computer output are produced.
In the descriptions of what was done to produce the current closest
agreement between simulations and observational data, the implicit
conclusion is that the steps taken were both unique and necessary.
However, experience has shown that equally close agreement is possible
from several combinations of adjustments to physical conditions and
mechanisms.  Hence, the conclusions presented here must be qualified
with the caveat that the results are subject to change in accordance
with new data and further modeling efforts.

GENERAL CONCLUSIONS

     We have made significant progress in developing mechanisms  during  the
past two years.   Simulations of smog chamber experiments  at the University
of California at Riverside (UCR)  with explicit mechanisms in this  study pro-
duced average differences between simulated and measured  maximum one-hour-
average ozone and N02 concentrations of roughly 13 percent and 15  percent,
with average standard deviations  of 20 and 13 percent.   In most cases,  the
accuracy of the predictions was comparable to the reproducibility  of the
smog chamber experiments.  Nevertheless,  several problems remain.

     In the majority of cases, consumption of the initial hydrocarbon was
simulated closely (our first criterion for a simulation), but the  maximum

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one-hour-average N02 and 03 concentrations were overpredicted by approxi-
mately 5 to 20 percent.  Thus, our predictions for NCL and (L show a slight
positive bias.  In experiments for which the hydrocarbon decay was predicted
accurately, the measured net rate of conversion of NO to N02 was high at
first, but lower after the N0/N02 crossover (the time at which [NO] = [N02]).
The net conversion rates in the simulations could be adjusted to match the
high initial rates in the experiments because the assumed initial [HONO]
usually determined the initial rate.  After the NO/NOp crossover, however,
the simulated conversion rates did not always drop enough, and so the maxi-
mum simulated concentrations of both N02 and 0-, tended to occur earlier and
to be greater than the corresponding measurements.  The differences between
simulations and measurements were small in many cases, but for some experi-
ments, such as EC-151, they were large.  Varying uncertain parameters in the
mechanisms within reasonable limits usually improved the fit between the
simulations and measurements of the early conversion rate but degraded the
fit for the later conversion rate,  or vice-versa.   Because the net rates of
formation of N02 and 03 are related to the concentrations of radicals, one
possible explanation is that some radical  sink active in the smog chamber
experiments after the N0/N02 crossover is  not treated adequately in the
mechanisms.

REFINEMENT OF EXPLICIT MECHANISMS
     All  simulations were obtained using the mechanisms described  in
 Sections  5 and 6 under  the  reported physical conditions for each
 experiment.  The only arbitrary and individual adjustments were the
 following:

     >  A small initial  concentration  of HONO was assumed in each
        simulation  to help  reproduce the measured rate of consumption
        of the initial  hydrocarbon(s)  early in each experiment.
        The  amount  of HONO  assumed was almost always  less than the
        equilibrium concentration calculated for the  initial NO and
        NO   concentrations  using the equation (Durbin, Hecht, and
        Whitten, 1975):

-------
              [HONO]eq^0.18|[NO][N02]}1/2

Typically, the assumed initial MONO concentration was about
0.33 [MONO]   (see Figure 6 of Section 4).
In some simulations, small adjustments were made in the inten-
sity of irradiation at wavelengths that cause photolysis.
Like the adjustments of the initial HONO concentration, these
adjustments helped to simulate accurately the measured con-
sumption of the initial hydrocarbon(s).  The adjustments were
within the range of reported intensity variations.  The main
justification for the adjustments is that they ensured that
hydrocarbon decay products were being used in the mechanisms
at the observed rates (see Figure 5 of Section 4).
In a few simulations, the initial HC or NO  concentration
                                          A
was changed slightly from the measured value.  These changes
were made to improve the overall  agreement between the simu-
lated and measured precursor concentrations.  The adjustments
were within the uncertainty of measurement of the reported
initial concentrations.  Furthermore, each concentration mea-
surement is merely one data point in a series, and the closest
overall agreement between simulated and measured concentrations
of HC and NO  provides the best foundation for examining how
            A
well a mechanism describes the formation of smog in a parti-
cular simulation.
In some UCR experiments for which the reported initial NO  con-
                                                         A
centration was zero, PAN was detected.  The presence of PAN,
which contains nitrogen, indicates the presence of NO  at some
                                                     A
time during the experiment.   To simulate these experiments we
had to assume limited degassing of NO  from the chamber walls.
                                     J\
The assumed input of NO  was so small that including it in
                       A
simulations of smog chamber experiments with nonzero initial
NO  concentrations had no discernable effects.  In fact, there
  A
seemed to be an unexplained loss of NO  in many UCR experiments,
                                      J\
which may be the result of trapping of NO  on the walls of the
                                         X
chamber.

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     We used the above methods to adjust the simulated hydrocarbon consump-
tion rate to fit the measurements so that the simulation results would
reflect the generation of secondary products in the chamber from the decay
products T)f the primary precursors.  Future research on absorption cross
sections and quantum yields of carbonyls or improvements in the measure-
ments of spectral intensity or carbonyl concentrations may show that the
adjustments used in this report are in error.  Other sources of radicals
and possibly radical sinks may be discovered that our current mechanisms
do not properly describe.  In any case, the present approach can be con-
sidered as using carbonyl compounds as surrogates for the compounds pro-
duced during an experiment that in turn generate radicals.  In this
approach, the rate of production of radicals varies during the simulations.
This variation produces different simulations than does a constant rate of
radical production, as occurs in simulations in which radicals are assumed
to be supplied by the walls of the chamber.

     The assumption that radicals are supplied by the photolysis of pro-
ducts formed from the decay of the precursors is directly applicable to
atmospheric modeling.  The range of photolysis rate constants used to
simulate UCR experiments provides an indication of the sensitivity of
radical production and subsequent ozone formation to light intensity.  The
average value of 0.003 for the ratio of the aldehyde photolysis rate con-
stant to the NCL photolysis rate constant that we used in simulations of
UCR experiments is essentially the same value we used in simulations of
experiments in the outdoor smog chamber at the University of North
Carolina (UNC) (see Figure 5 of Section 4).  Thus, the solar simulator
used at UCR produces a spectrum that is consistent with the actual solar
spectrum in terms of the aldehyde  photolysis required in our mechanisms.

     Three chambers were used to test  the explicit formaldehyde mechanism:
a small  (160 liter) Teflon bag, the UCR chamber, and the UNC chamber.  The
         *'jt
bag experiments used relatively high (12 ppm) concentrations, and the pre-
dictions of the mechanism did not  agree qualitatively with the observed NO

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and ozone curves until the chemistry of peroxynitric acid (PNA)  was added.
Experiments in the other two chambers could be simulated adequately using
the explicit formaldehyde mechanism with or without PNA chemistry because
the pollutant concentrations were so low that, even if PNA was formed,  it
was formed in negligible concentrations.

     Experimental problems complicated our studies with the formaldehyde
mechanism.  At UCR, the known amounts of formaldehyde added to the smog
chamber did not agree with the measured initial concentrations,  and in
two experiments that were ostensibly started with no NO , N07 and other
                                                       A    £
nitrogenous compounds were measured.  For simulating these experiments  it
was necessary to assume that NO  was degassing from the walls.  At UNC,
                               A
the formaldehyde experiment was contaminated by some ethylene from the
nitric acid detector.  Thus, our explicit formaldehyde mechanism requires
further testing with "problem-free" data.  Yet, the present simulations
plus the simulations of experiments in which formaldehyde was purposely
added (UCR Runs EC-45 and EC-257) support the present formaldehyde
mechanism.

     For the acetaldehyde/NO  system and all other systems involving PAN
                            A                                      •
chemistry, it was necessary to use the lowest reported values for the ratio
of the rate constants for the reactions of NO and N02 with peroxyacetyl
radicals.  In agreement with the results of modeling work by Carter et  al.
(1978), we found that using an even lower ratio improved the agreement
between our simulations and the measurements for both PAN and ozone. The
disparity between the low ratio that produces accurate simulations and  the
higher ratio reported from laboratory measurement suggests some inaccuracy
in the treatment of PAN chemistry in mechanisms.

     The ethylene mechanism was constructed to be similar to a previous
mechanism for propylene (Whitten and Hogo, 1977).  At UCR, ethylene

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experiments were performed in two groups.   One group contained essentially
twice the initial concentrations of precursors of the other,  yet those
experiments tended to have roughly the same or even somewhat  lower maximum
ozone concentrations.  Simulations with the ethylene mechanism do not show
this "reverse" effect, but the increase in the simulated maximum ozone con-
centration due to doubling of the initial  precursor concentrations is
small.  The ozone isopleth diagram in Section 5 (Figure 15)  demonstrates
the slight ozone increase that results from doubling the precursors.   We
cannot tell now whether the ethylene mechanism tends to overpredict or
underpredict ozone concentrations because it overpredicts for the low con-
centration experiments and underpredicts for the high concentration exper-
iments.  Thus, more experiments that produce low ozone levels (less than
0.7 ppm) need to be performed and modeled.

     For propylene, closer agreement between simulations and measurements
was obtained after we introduced into the mechanism a moderately rapid
reaction between ozone and a peroxy radical that apparently forms follow-
ing the reaction of hydroxyl radicals and propylene in air.   Otherwise,
the mechanism was essentially the same as that for ethylene, except for
the higher rate constants and extra carbon atoms.

     In the n-butane smog chamber experiments at UCR, we assumed:

     >  Values for the percentages of occurrence (or "splits")
        of various reaction pathways for alkoxyl radicals.
     >  A rather high quantum yield for production of radicals
        from methylethylketone (MEK) photolysis.

The assumed pathway splits were necessary to simulate the measured con-
centrations of MEK, acetaldehyde, and butyraldehyde.  The high quantum
yield for MEK photolysis was necessary to supply sufficient radicals  in
the simulations.  Since other species whose concentrations are not mea-
sured,  such as hydroxy-substituted aldehydes, may  actually be supplying
the required  radicals, MEK may be a  surrogate source of  radicals.

                                   10

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     Our simulations of n-butane/NO  systems support the work of Darnall
                                   /\
et al. (1976a) in that nitrate formation from the reactions of alkylperoxy
radicals with NO had to be included in the mechanism.   These reactions
were necessary to simulate the roughly constant peak concentrations of
ethyl and longer nitrates (relative to initial HC) despite variations in
the initial butane/NO  ratio.  Production of alkyl nitrates from the
                     /\
reactions of alkoxyl radicals with f^j which were the only pathways for
nitrate formation in an earlier mechanism (Whitten and Hogo, 1977),
depends strongly on the hydrocarbon/NO  ratio.
                                      J\

     The mechanism developed for 1-butene is similar to the propylene
mechanism, except that the main initial aldehyde produced is propion-
aldehyde rather than acetaldehyde.  The simulations with the 1-butene
and propylene mechanisms exhibit similar agreement with the respective
experimental data.  As in the propylene mechanism, a low ratio for the
rate constants of the reactions of NO and ML with the peroxypropionyl
radical seems to be necessary for accurate simulations.  Unlike the pro-
pylene case, however, no data on the value of that ratio are available
at present.

     The trans-2-butene molecule decays rapidly to produce two molecules
of acetaldehyde.  Hence, its chemistry in smog-forming systems is similar
to that of acetaldehyde, except for a brief period after the beginning of
the experiment.  As might be expected, the simulations with the trans-2-
butene and acetaldehyde mechanisms exhibit similar agreement with
measurements.

     The only alkane other than butane for which we have data from UCR is
2,3-dimethylbutane.  In terms of reaction with hydroxyl radical, this
molecule should be much more reactive than butane.  In the overall chem-
istry leading to ozone,production, however, 2,3-dimethylbutane appears to
be less reactive than butane on a per-carbon-atom basis.  The main reasons
for this low reactivity are the formation of alkyl nitrates, which decreases
                                   11

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the rate of ozone production because it is a radical  sink,  and the produc-
tion of compounds that do not photolyze readily.   Nitrate formation from
the reactions of alkylperoxy radicals with NO was included  in the explicit
2,3-dimefhylbutane mechanism, as it was in the butane mechanism,  but the
rate constants used in the 2,3-dimethylbutane mechanism are all estimated
and thus require experimental confirmation.  Nitrate  formation reactions
consume radicals, and so when incorporating them into the mechanism it was
necessary to increase the production of radicals.  The main source of rad-
icals in the 2,3-dimethylbutane mechanism is acetone  photolysis.   As is the
case for other mechanisms, acetone may partly be a surrogate for  other com-
pounds that are the actual sources of radicals.   One  line of evidence sug-
gests that acetone is a major radical source.  PAN is formed from peroxy-
acetyl radicals, which are generated by the photolysis of acetone or the
hydroxyl attack on acetaldehyde.  The high PAN concentrations and low
acetaldehyde concentrations in the experiments suggest that acetone is
the more important source of peroxyacetyl radicals.  In general,  the simu-
lations with the 2,3-dimethylbutane mechanism indicate that more  mechanism
development work is necessary to simulate the high nitrate production
without removing the radicals necessary to sustain chemical reactions in
the simulations.

     For simulating smog chamber experiments involving mixtures of hydro-
carbons, no new reactions entailing  interactions of carbon-containing
species were necessary; the combination of the appropriate explicit kine-
tic mechanisms produced simulations  that agreed reasonably well with
measurements.  For the special case  of mixtures containing large amounts
of acetaldehyde in the presence of propylene, the combination of the
present mechanisms did not produce predictions that agreed with observa-
tions.  The rates of consumption of  propylene and acetaldehyde cannot be
simultaneously simulated for EC-217  (propylene plus acetaldehyde) or
EC-149  (propylene plus trans-2-butene).   In  the  latter experiment, the
trans-2-butene rapidly decayed to acetaldehyde.  Further mechanism devel-
opment  for  both acetaldehyde and propylene  is in progress.
                                  12

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REFINEMENT OF GENERALIZED MECHANISM

     From our studies of the generalized Carbon-Bond Mechanism (CBM)  during
the past-two years, we have drawn the following conclusions:

     >  Simulations in which initial hydrocarbon species were
        treated individually, rather than in groups, closely
        agreed with simulations using fully explicit mechanisms.
        These tests show that the secondary chemistry, such as
        reactions of alkylperoxy radicals and aldehydes, can  be
        treated in condensed form at a small sacrifice in accur-
        acy, thus saving considerable computing costs compared
        with the fully explicit treatment.  To a large extent,
        this result was expected:  The reactions of many second-
        ary species in the explicit mechanisms, such as alkylperoxy
        radicals, are given the same rate constants because exper-
        imental values are not available and theory cannot ade-
        quately distinguish among the variety of alkyl structures.
        (These tests were performed using earlier versions of both
        the explicit and CBM mechanisms and will be repeated  in
        the coming year with the revised mechanisms.  The latter
        now contain special reactions, such as those for nitrate
        formation from alkylperoxy radicals, that depend on mole-
        cular structure.)
     >  Treating ethylene separately from other olefins is very
        important because of the wide difference in reactivity.
     >  Several types of averaging methods were considered for use
        in calculating rate constants for generalized species in
        the Carbon-Bond Mechanism.  The weighted averages consid-
        ered were the arithmetic, geometric, and harmonic means
        and a root-mean-square.  In tests to date, the last method
        is the best.  Thus, users of the CBM should compute weighted
        root-mean-square rate constants for reactions of the  initial
                                   13

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        mixture of hydrocarbons  (if  the  individual  rate  constants
        are known).
     >  Aromatics  were  treated  separately  from  ethylene  (unlike
        e'arlier versions  of the  CBM).   Instead  of condensing  pre-
        sent versions of  explicit chemistry,  we developed  a new
        semi-empirical  mechanism to  simulate  smog chamber  data and
        be consistent with the  explicit  chemistry.
     >  The CBM had to  be changed in. many  ways  to make  it  consistent
        with the current  explicit chemistry for olefins, paraffins,
        and PAN.  The revised version of the  CBM v/as  used  to  simu-
        late many  of the  same experiments  simulated with the  explicit
        mechanisms.  In addition, a  special set of  11 experiments
        using three different mixtures of  seven hydrocarbons  was used
        to evaluate the revised CBM.  The  three mixtures had  differ-
        ent reactivities  due to different  proportions of olefins,
        paraffins, and  aromatics. The results  of this  validation
        exercise indicate that the revised CBM  should be useful
        for atmospheric modeling.

STUDY OF CHAMBER EFFECTS

     Our conclusions from the study  of chamber  effects  suggest  an  overall
verification of current smog chemistry.   The  same mechanism was  found  to
produce reasonable simulations of similar experiments performed  in a  var-
iety of smog chambers when important chamber-specific parameters (primar-
ily the light intensity and spectra) were taken into  account.  The specific
conclusions at this point are:

     >  The rate of disappearance of ozone by reaction  with the
        chamber walls  can be calculated approximately given the
        chamber's surface-to-volume  ratio, mixing  time, and
        wall material.
     >  Assuming  immediate reaction  at the wall, the  losses of
        MONO and  ozone affect the outcome of typical  simulations
                                   14

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        of UCR experiments significantly more than losses of other
        species, such as radicals.
     >  Uncertainties in measurements of pollutant concentrations
        and light intensities confound the search for wall effects.
     >  Some experiments in the Lockheed chamber with the spectrum
        attenuated at short wavelength could not be modeled accur-
        ately with our propylene mechanism, which suggests that a
        source of radicals in the Lockheed chamber is not treated
        in that mechanism.  One possible radical source is ozone-
        olefin reactions.
     >  In some chambers, NO  is apparently adsorbed by the walls
                            X
        during experiments in which the concentration of NO  is
                                                           /\
        high and desorbed during those in which NO  is low.
                                                  J\
     >  For some experiments at unusually high or low temperatures,
        adjustments in temperature-dependent rate constants alone
        were not sufficient to produce good fits between simula-
        tions and measurements.  We found that changing the carbonyl
        photolysis rate constants greatly improved the fits, but the
        possibility of wall effects in those experiments remains.

RECOMMENDATIONS

     In this section, we offer specific recommendations that focus on using
modeling to highlight needs for future studies.  In many cases, the  discus-
sions in the rest of this report explain the reasons for these recommenda-
tions more extensively.  The recommendations are divided into three  cate-
gories:  laboratory measurements of reaction products and rate constants,
smog chamber experiments, and analytical techniques.  In addition to  these
specific recommendations, we wish to emphasize the need for both continued
research to reduce the uncertainties in reaction rate constants and  product
distributions for individual reactions associated with and under experimen-
tal conditions relevant to smog chemistry and for continued chamber  and
modeling studies and analytical improvements to provide carbon and nitrogen
mass balances for smog chamber experiments.
                                   15

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     The specific recommendations regarding smog chamber experiments  to be
used with modeling studies are:

     >  Performance of a series of experiments using individual
        hydrocarbons from homologous series.   Present extensions
        of explicit mechanisms, such as using similar reactions
        in mechanisms for ethylene, propylene, and 1-butene,  are
        encouraging but limited.  In the paraffin series,  only
        butane and 2,3-dimethylbutane have been carefully studied.
        Such molecules as pentane, hexane, and others found in the
        atmosphere should be studied so that the schemes used in
        generalized mechanisms to generate average rate constants
        can be evaluated.
     >  Performance of experiments using molecules with various
        ring structures so that explicit mechanisms for them can
        be developed.  Cyclohexane and cyclohexene are observed
        in the atmosphere, as are the various ring structures of
        natural hydrocarbons such as a-pinene.  However, the
        details of the smog chemistry of such compounds are not
        known well enough to justify using generalized mechanisms
        to evaluate the importance of those compounds in photo-
        chemical oxidant formation in the atmosphere.
     >  Formulation of a new procedure for establishing the reac-
        tivity of individual compounds based on the influence that
        a single compound has on the overall reactivity of standard
        hydrocarbon mix.  A suggested procedure is to establish a
        standard set of conditions for a standard hydrocarbon mix,
        such as specific concentrations of propylene and butane,
        and then to perform smog chamber runs with the standard mix
        and with 50 percent of  the carbon atom concentration of the
        standard mix replaced by the compound being tested.  Such a
        procedure should be useful for estimating (1) the potential
        influence of the test compound on ozone formation and (2) the
        fate of the test compound  in urban atmospheres.  The latter

                                   16

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        information is necessary for modeling the chemistry in many
        industrial  plumes.

     The-recommendations concerning laboratory experiments of specific
reactions are:

     >  Study of the reactions and rate constants of  alkylperoxy  radicals
        at typical  atmospheric concentrations.  The reactions of
        alkylperoxy radicals with NO, N0?,  CL, and other radi-
        cals (particularly HO^) are most appropriate  for study.
        In addition to the rate of reaction with NO,  the pathway
        to nitrate formation needs to be determined as a function
        of the structure of the alkyl group.
     >  Determination of the fate of the addition products when
        hydroxyl radicals react with olefins under atmospheric
        conditions.  In particular, the peroxy radical that
        apparently forms when oxygen reacts with the  addition
        product may react with ozone; this  possibility warrants
        consideration.
     >  Study of the photolysis of ketones  and aldehydes under
        typical atmospheric conditions to determine possible
        radical products.  Modern kinetic mechanisms  generally
        rely on the photolysis of carbonyl  compounds  (which are
        intermediate products in the atmospheric oxidation of
        hydrocarbons) to supply the majority of the radicals nec-
        essary to sustain the overall smog  formation  process in
        simulations.
     >  Further study of the decay routes of propylene and
        acetaldehyde.  Using the currently  recommended rate con-
        stants for hydroxyl attack, the mechanisms in this report
        do not simulate the observed rates  of consumption of
        these two compounds simultaneously.  We are now investi-
        gating whether any combination of acetaldehyde photolysis
        rate constants and-rate constants for reactions of hydroxyl
                                   17

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   radical  with acetaldehyde and propylene can  produce  simu-
   lations  in good agreement with measurements.   However,
   simultaneous observation of the reactions  of these two
   compounds in laboratory experiments with various  reactive
   species  will be necessary to evaluate the  modeling results.

Our main recommendation for improved measurements is:

>  Determination of light spectra directly applicable  to 0( D)
   generation and aldehyde photolysis.  Although standard proce-
   dures have been in use for some time to characterize light
   intensity directly applicable to NCL photolysis,  specific
   procedures for these other species are needed.  In  the pre-
   sent modeling study, the decay profile of hydrocarbon
   (propylene) and the NO and NOp time profiles appeared to
   be independent of NOp photolysis but strongly dependent on
   aldehyde photolysis.  The ozone time profile was  strongly
   dependent on both.  In our studies, we often attempted to
   increase the supply of radicals derived from 0( D)  atoms.
   However, the time profiles for many species  (including ozone)
   did not  then conform to the shape of observed profiles.
   Hence, a standard procedure for measuring the production of
   0( D) from  ozone photolysis for a given smog chamber situa-
   tion is  needed to assimilate  this reactive species into the
   kinetic  mechanisms  correctly.
                               18

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                                 SECTION 3
                           BACKGROUND AND APPROACH

     The computer modeling approach to the development of kinetic mechan-
isms was first used at SAI in 1972 under EPA Contract 68-02-0580.  Efforts
under that five-year contract were reviewed from a  historical  perspective
by Whitten and Hogo (1977).  Much of that work was  directed toward the
development of explicit mechanisms for propylene and butane, because most
smog chamber experiments up to that time were carried out with those species
as initial hydrocarbons.  Two other early studies also emphasized the chem-
istry of propylene and butane (Niki, Daby, and Weinstock, 1972; Demerjian,
Kerr, and Calvert, 1974).  SAI's efforts,  however,  also had an underlying
goal of developing generalized smog mechanisms suitable for use in photo--
chemical air quality simulation models.   The present study thus represents
a continuation of previous efforts at SAI.

     Three generalized smog mechanisms were developed in whole or in part
at SAI for use in air quality modeling:   the Hecht  and Seinfeld (1972)
mechanism (HS), the Hecht, Seinfeld, and Dodge (1974) mechanism (HSD),
and the Carbon-Bond Mechanism (CBM) (Whitten and Hogo, 1977).   The char-
acter of these mechanisms has progressed from a highly parameterized rep-
resentation, based on a limited set of smog chamber data, to essentially
a condensation of explicit mechanisms for propylene and butane that have
been validated using a large data base.   The HS mechanism was  used in the
original SAI Airshed Model (Reynolds et al., 1974).   The HSD mechanism was
used in several modeling studies at SAI  and also in the Lawrence Livermore
Laboratory's LIRAQ, a two-dimensional  grid-type air quality model (MacCracken
and Sauter, 1975).  The CBM has been used  by SAI in two major air quality
modeling studies, one of the Denver area (Anderson  et al., 1977) and the
other of Los Angeles (Tesche and Burton, 1978).   The latest version of the
CBM, presented in Section 6, has been incorporated  in SAI's current Airshed
Model and is being used to model air quality in Los Angeles, Sacramento,
and St.  Louis.
                                    19

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     Progression in the development of generalized mechanisms  has  been
paralleled by improvements in experimental  data:

     >  Individual  reactions identified by  computer modeling as
        being important in smog formation have been carefully
        studied in independent laboratories employing state-of-the-
        art experimental methods.   Thus, the uncertainties in  product
        distributions and rate constants have diminished consider-
        ably over the past few years.
     >  Efforts to assess all available information on individual
        chemical reactions have produced carefully evaluated sets  of
        reactions and rate constants.  These evaluations have  greatly
        reduced the apparent ranges of uncertainty in various  reactions,
        rate constants, and products, thus  making computer modeling
        techniques more usable for testing  hypotheses about photo-
        chemical oxidant formation.
     >  More smog chamber experiments have  been performed, and the number
        of species used as initial hydrocarbons has increased.  The
        data currently available at SAI include detailed concentration/
        time profiles for several  species in each of about 140 experi-
        ments in 10 different smog chambers.

These improvements have had the beneficial  effects of both reducing  the
number of empirical parameters in kinetic mechanisms and opening up  a
new approach for mechanism validation.  Below we describe computer modeling
in general terms and then present our approach for validating kinetic
mechanisms.

THE PROCESS OF  COMPUTER MODELING

     To simulate a smog chamber experiment, one must have data from the smog
chamber experiment, a  kinetic mechanism, and  a computer program that simu-
lates gas-phase chemistry by integrating the differential equations developed

                                     20

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from the chemical mechanism.  The data and the mechanism have inherent
uncertainties.*  Some smog chamber measurements are accurate only to
within ±50 percent.  In addition, smog chamber data are never complete
because \t is not currently possible to measure the concentrations of all
species present in a smog chamber experiment.   In experiments initiated
with toluene and NO , for example, toluene decays to produce a host of
                   A
complex organic molecules, many of which have  not even been identified, much
less routinely measured.

     Kinetic mechanisms also have inherent uncertainties, the most obvious
being the uncertainties in laboratory measurements of rate constants.
Another source of uncertainty is the reaction  pathway:  In some cases the
rate constant for the reaction between two species is known, but the products
of that reaction are not.   In other cases a reaction can produce either of
two sets of products, but the fraction of reactions leading to either set
is not known.  In many cases rate constants or pathways are determined under
laboratory conditions far removed from atmospheric conditions.  Extrapolation
to atmospheric pressure, temperature, and concentrations of Op and water
vapor may lead to error.  Another type of uncertainty is associated with
"wall effects."  Smog chambers have much lower surface-to-volume ratios than
most laboratory reaction vessels, and so wall  effects that are unimportant
in smog chambers may perturb laboratory measurements.

     A principal goal in computer modeling of smog chemistry is to develop a
set of reactions and rate constants that provides the closest possible agree-
ment between simulations and measurements for a series of experiments.  This
development  is carried out  by:
*
  Computer programs for simulating gas-phase chemistry incorporate numerical
  integration methods that have nonzero error tolerances, but the uncertainty
  due to numerical integration is negligible compared with the sources of
  uncertainty mentioned above.  SAI used the CHEMK computer program (Whitten
  and Meyer, 1975) for simulating gas-phase chemistry.
                                    21

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     >   Using measurements  or estimates  of  all  important reactions,
        products,  and rate  constants  known  or expected  to occur
        in the system of interest,  within their limits  of uncertainty,
        to formulate a kinetic mechanism.
     >   Estimating the physical conditions  appropriate  for  the experi-
        ments performed (e.g., the  initial  MONO concentrations,  the
        temperature during  each experiment, and other parameters).
     >   Simulating the smog chamber experiments using a computer.
     >   Modifying  or adding reactions,  products, and rate constants
        until satisfactory  agreement between simulations and  measure-
        ments is achieved.

APPROACH FOR MECHANISM VALIDATION

     During this study we developed an  approach for validating  a series  of
kinetic mechanisms that is  intended to  minimize the possibility of fortui-
tous agreement between simulations  and  measurements. A valid kinetic
mechanism, unlike a mere curve-fitting  exercise, should give  reasonable
predictions when used in applications such  as atmospheric modeling that
are outside the range of conditions and smog chamber experiments for which
it was developed.   Our approach is  based on the following principles:

     >  The first measurements that must be reproduced  with accept-
        able accuracy are those related to  the consumption  of the
        initial hydrocarbon(s).  A mechanism for propylene/NO
                                                             /\
        systems, for example,  should describe the disappearance
        of propylene and the reactions  of  intermediate  species
        that eventually lead to the formation of ozone.  Good
        agreement between measured and  simulated ozone  concen-
        trations, coupled with poor agreement for propylene,
        is indicative of compensating errors in the kinetic mech-
        anism.  Errors that compensate  one  another under the  con-
        ditions of a particular smog chamber experiment are not
        likely to do so for other experiments or atmospheric
        applications.
                                   22

-------
     >  In simulating a series of experiments in the same smog
        chamber, chamber-dependent effects must be treated con-
        sistently.  If ozone is assumed to react with the walls
        o-f the chamber, for example, the same rate constant for
        that reaction should be used in all simulations of exper-
        iments in that chamber unless some characteristic of the
        chamber has been changed.  If a light source is assumed  to
        emit progressively lower amounts of short-wavelength radia-
        tion over a period of several months, the photolysis rate
        constants for the series of experiments must diminish in
        accordance with the order of performance of the experiments.
        Arbitrary adjustments for such effects must be avoided.
      >  The smog  chamber walls should not be assumed to be major
        sources or sinks of radicals or other chemical species.
        Our research thus far suggests, though it does not prove,
        that the  walls are at most minor sources or sinks of radicals.
        Dependence on wall reactions to supply or consume
        radicals  in order to produce more accurate simulations
        tends to  mask inadequacies  in kinetic mechanisms and to
        confound  their application  to atmospheric problems.

     Besides the above principles, we have applied another principle  of
mechanism validation, one that is based on the concept of a hierarchy of
chemical species  in photochemical oxidant formation.  This concept is
discussed in the  next section.

THE CONCEPT OF A HIERARCHY OF SPECIES

     Much of the work on explicit mechanisms in this study has  been guided
by the concept of a hierarchy of chemical  species in photochemical oxidant
formation.   As mentioned in Section 1, each species involved in  oxidant
formation can be assigned to a hierarchical level on the basis of  the
number of HC/NO  systems in which it occurs, with the most ubiquitous
               /\
species occupying the lowest level.   As an example consider the  reactions

            "*"                       23

-------
of butane and acetaldehyde.  Acetaldehyde is formed in significant quantities
during photochemical oxidation of butane/NO  systems, and the reactions of
                                           X
acetaldehyde must therefore be included in an explicit mechanism for butane.
The reverse is not true:  Little or no butane is formed in the photochemical
oxidation of acetaldehyde/NO  systems.  As a consequence, butane reactions
                            /\
need not be included in an explicit mechanism for acetaldehyde.   Thus,  butane
is assigned to a higher hierarchical level than acetaldehyde.  The hierarchi-
cal levels used in our study are shown schematically in Figure 1.

     The value of the hierarchical concept is the principle it suggests for
validating explicit mechanisms for a series of hydrocarbons.   In brief, one
should validate mechanisms for species at the lowest level first.   For
example, one can begin by validating the explicit formaldehyde mechanisms,
using data from formaldehdye/NO  smog chamber experiments.  An explicit
                               /\
acetaldehyde mechanism can then be constructed by adding a few reactions
and rate constants to the explicit formaldehyde mechanism.  In validating
the acetaldehyde mechanism (using data from acetaldehyde/NO  experiments),
                                                           X
only the additions need be examined—the reactions and rate constants from
the validated explicit formaldehyde mechanism should not be modified in
any way.  Mechanisms for the hydrocarbons can be constructed by adding
the appropriate reactions and rate constants to mechanisms for these
aldehydes.

     Validating mechanisms in the stepwise order suggested by the hierarchical
levels clarifies the sources of uncertainty in simulations and reduces the
probability that a complex mechanism for a large hydrocarbon contains con-
pensating errors.   In a series of mechanisms validated in this way, if the
formaldehyde mechanism provides simulations that agree well with measure-
ments but the acetaldehyde mechanism does not, the portions of the acetalde-
hyde mechanism that might  be the cause should be obvious.
                                     24

-------
                                                                                      o

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                                SECTION 4
                   TREATMENT OF INORGANIC REACTIONS

     One of the most important needs in developing kinetic mechanisms is
accurate rate constant measurements.  The inorganic chemistry in hydro-
carbon/NO  kinetic mechanisms includes reactions for which both the rate
         A
constants and the detailed reaction pathways are not well  known.  In this
section we discuss recent observations about these reactions that have led
us to modify their reaction rate constants and reaction pathways.

PHOTOLYSIS REACTION?

     As in previous work, for simulating smog chamber experiments at the
University of California at Riverside, we used the N02 photolysis rate
constant, k,, exactly as reported.  Wu and Niki (1975) reported that the
uncertainty in the measured NO- decay rate, k ., which is used to derive
k,, is as great as ±30 percent, depending on the timing of the measure-
ments.  During this past year, we found much better fits between simulated
and measured concentrations could be obtained by varying k, within that
uncertainty range.  Therefore, for smog chambers other than UCR, we varied
k, within that range.

     In previous simulations of UCR smog chamber data (Durbin, Hecht, and
Whitten, 1975; Whitten and Hogo, 1977), we determined photolysis rate con-
stants for 03, MONO, \\2®2> anc' tne aldehydes by multiplying the ratios of
those rate constants to the N02 photolysis rate constant times the measured
N02 photolysis rate constant (usually described as the ratio to k-|).  For
any measured light spectrum, we were able to generate a set of ratios of
photolysis rate constants that could be related to the measured NOp photo-
lysis rate constant.

     Although data from the later UCR runs include measured light intensi-
ties for each run, the uncertainties associated with  those measurements
                                    26

-------
need to be quantified.  Since aldehyde photolysis is of major importance
in photochemical smog mechanisms (Whitten and Dodge, 1976; Whitten and
Hogo, 1977), the light intensity measurements must be very accurate in
the region in which aldehydes photolyze.   Figure 2 shows the photolysis
cross sections of MONO, acetaldehyde, 03, and NO,,.  Note that 0, and
acetaldehyde photolyze in the region from 280 nm to 340 nm.   Because of
the method used by UCR to report measured intensities at various wave-
lengths (namely, as ratios relative to the intensity at 370 nm normalized
to 0.75), the intensities in the range from 280 to 330 nm are highly
uncertain.  Figure 3 shows the relative intensities in the range from
300 nm to 330 nm reported by UCR for experiments up to Run EC-253.  The
"old simulator" is the solar simulator used by UCR beginning with exper-
iment EC-20.  The scatter between reported values is greatest at 300 nm
and decreases at higher wavelengths.  A factor of almost 8 separates the
lowest and highest intensities reported at 300 nm, compared with a factor
of roughly 2 between the lowest and highest intensities at 330 nm.  Figure 4
presents an exploded view of the intensities reported at 320 nm, which is
near the peak of the acetaldehyde photolysis range.

     Owing to the large uncertainties in measured light intensities in  the  280
to 330 nm range, we varied the aldehyde photolysis rate constants to give
better predictions in the simulations of the UCR experiments.  Recent work
by Moortgat et al. (1978) provided us with new quantum yields for formalde-
hyde photolysis.  Through calculations using quantum yields from Moortgat
et al. (1978) and a spectral distribution typical of the UCR solar simula-
tor, we found that the rate constant for photolysis of formaldehyde leading
to radicals was, within experimental error, equal to the rate constant for
photolysis of formaldehyde leading to nonradical products.  For convenience,
we define the numerical value of this rate constant by the symbol "FORM+
Products" [note that the total formaldehyde photolysis rate constant is
thus 2 x (FORM-^Products)].  If the quantum yield for photolysis of acetal-
dehyde leading to radicals is assumed to be 1.0, the calculated photolysis
rate constant turns out to be equal to FORM+Products.  Through trial and
                                   27

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g
s
    280     300
                       340     360



                       WAVELENGTH, ran
380     400     420
  Figure 2.   Absorption cross sections  for photolysis

              of 03, acetaldehyde, MONO,  and N02
                       28

-------
1.0
0.5
0.3
0.2
0.1
t 0-05
z
UJ
g
£ 0.03
£
" 0.02

0.01
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—EC-216
EC-124-j~EC~120
^-EC-95 EC-253--r°^145
^.-EC-177 EC-142-*:" «
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^EC-165
—OLD
-EC-172
— EC-253
.EC-169
e-EC-164
^EC-153
-
I I I
                              WAVELENGTH, nm
Figure 3.  Relative light intensities  in  the  range from 300
           to 330 nm for different experiments at UCR.   "Old"
           refers to the original solar simulation, which was
           used in early UCR runs.
                           29

-------
U. JU 1

0.25
>- 1
i
I
2
i °-2°



0.15
1


0.1 1
0.09 j
t I
— EC-95

[
! —EC- 177

1 —EC-216
L
f J
—OLD
— EC-124
— EC-120
1 —EC-253 I
— EC-142
•—EC- 145
— EC-165
•— EC-172 1
L — EC-153
f — EC-169
[ 	 — EC-164 -I
' 	 	 	 . 	 	 	 	
320 nm
WAVELENGTH, nm
Figure 4.   Relative light intensities  at  320  nm  for
           different experiments  at UCR
                          30

-------
error, however, we found that a quantum yield of 0.5 (corresponding to a
photolysis rate constant of 0.5 FORNUProducts) provided the best fit to
the available data.  For all aliphatic aldehydes except formaldehyde, in
all UCR simulations, we assumed photolysis rate constants for radical pro-
duction of 0.5 FORM^Products.  For ketones and difunctional aldehydes (such
as hydroxyaldehydes), we assumed photolysis rate constants of FORM+Products.
Thus, photolysis rate constants for nearly all carbonyl species, in all
simulations of UCR experiments, were equal to FORI^Products multiplied
by either 1.0 or 0.5.

      We varied the numerical value of FORM^Products within a small range to
optimize the fits between simulations and measurements.  Note that intensi-
ties  at 320 nm (the peak wavelength for aldehyde photolysis) are reported
by UCR not in  terms of absolute intensity, but in terms of intensity rela-
tive  to 0.75 of the intensity at 370 nm.  The intensities at 320 nm reported
by UCR had a slightly greater variability (in terms of standard deviation)
than  did our choices of FORM+Products.  To show this, we plot in Figure 5
(1) the product of FORNh-Products divided by the N09 photolysis rate constant
8.4
8.0

7.6

7 2
T3

3
5 6.4
g '..0
o
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1.2
0 c
°'l

	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 	 1 1 I ' 1 1 1 1 1 1 l I 	 1 	 1 	 1 1 1

NOTE: INTENSITIES AT 320 nm
WERE NOT REPORTED BY
UCR PRIOR TO RUN EC-95.

NEW LAMP NEW LAMP NEW LAMP
111

m x
. v INTENSITY AT 320
' PHOTOLYSIS RATIO y
-
m •
•
-

* ' * M t
W^ • • \
• •• „ •• * X» X
/ -
" " ^AVERAGE VALUE «*Vx
• ^< t •
J**x • •
. w n xn •
X »' ' .— " -
X " *<

-
Ill 	 1 1 1 1 1 1 1 1 1 1 , 1 1 1 1 1 1 1
10 20 30 40 50 60 70 80 90 100 110 120130 140 150 160170 180 190 200210 220 230 240250 260 270 280290 30
EC RUN NUMBER
IU.JJb
0.320 £
•
0.304 °

0.288 I
o
0.272 S
(_
0.256 «
0.240 3
0.224 o
t—
0.208 2
tvl
0.192 3
0.176 o
0.16 §
0.144 S

0.128 S
01 1
.12 >.
0.112 £
t/J
0.096 £
^
0.080 ~
UJ
0.064 S
0.048 J

0 . 032
0

Figure 5.  Comparison of carbonyl photolysis ratios used in the UCR simulations
           and reported intensities at 320 nm.
                                    31

-------
used in each simulation (termed the "carbonyl  photolysis ratio")  and, on
the other vertical axis, (2) the reported intensity at 320 nm relative to
0.75 times the intensity at 370 nm.  In Figure 5 the vertical axes were
chosen such that the averages of (1) and (2) for runs EC-95 through EC-287
are on the same horizontal  line, and the scale divisions were chosen so
that scale divisions on the left and right vertical axes are equal to the
same percentage differences in (1) and (2).   This choice permits  visual
examination of the spread of values.  The standard deviation of (1) is
29 percent, and of (2), 31  percent, over all UCR experiments from UCR
EC-95 through EC-287.

CHEMISTRY OF MONO

     Nitrous acid (HONO) can be an important initial radical source in
simulating a smog chamber experiment performed with a constant radiation
flux (Whitten and Hogo, 1977).  Figure 6 shows the initial HONO values
used in our simulations.  Cox and Derwent (1976) reported HONO absorption
cross sections higher than those reported by Graham (private communication,
1975), which had been used by Whitten and Hogo (1977).  The higher absorp-
tion cross sections mean a higher initial rate of radical production.  The
rate of formation of HONO from OH« and NO was reported to be faster than
previously estimated (Cox, Derwent, and Holt, 1976).  Finally, gas-phase
formation by the nonradical reaction NO + NO,, + H20 -»- 2HONO was reported
to be much slower than thought previously (Kaiser and Wu, 1977).   Modify-
ing our kinetic mechanisms in accordance with these three developments has
two implications:  Nonradical HONO formation in the gas phase is not sig-
nificant; and HONO is now a noncritical species.

     Noncritical status means that HONO is  present at a very low steady-
state concentration during most of a simulation.  The low concentration
guarantees that no significant amount of radicals or NO  is tied up  in
                                                       /\
HONO.  Neither its formation  rate nor its photolysis rate is critical  to
the outcome of a smog chamber simulation as long as the formation and
                                   32

-------
destruction rates are fast.  Note  that MONO may  not be in  a  steady state
during  the first few  minutes of  a  smog chamber experiment  with constant
light:   HONO formation in the dark may occur  slowly, but the rate of MONO
destruction by photolysis is zero  until the light is turned  on.
        0.9
        0.8
         0.7
        0.6
      *  0.5
         0.4
        0.3
        0.2
        0.1
              I   I   I   I
                                 |   I   I    I   I   I   I   I   I    I   I   I   I
                                               AVERAGE (INITIAL [HONO]/[HONO] ) = Q 36
                                               STANDARD DEVIATION = ±0.26
          ol   I   I   I   I    I   I   I   I   I   I    I   I
                                                          I
                                                                       I
          0  15  30  45  60  76  90  105 120 13S  150 165 ISO 195 210  225  240 255 270 285  300
                                   UCR EXPERIMENT EC-Nunber
        Figure 6.   Initial HONO concentrations  (expressed as  fractions
                    of  equilibrium  concentrations)  assumed for simula-
                    tions of UCR experiments
                                       33

-------
     In other words, eliminating HONO chemistry from a mechanism should
cause very little difference in simulations of smog chamber experiments
with slowly increasing irradiation.   To demonstrate this, we simulated an
experiment in the outdoor chamber at the University of North Carolina,
where the slow increase in light intensity suppresses the initial  radical
problem seen in experiments with constant light.  Figures 7 and 8 show the
measured NO, N02> 03> and propylene concentrations and those calculated
with and without HONO in the explicit kinetic mechanism for propylene.*
Simulation of this UNC experiment required a small initial concentration
of HONO to provide initial radicals.  Simulation of the UNC experiment
without HONO chemistry also required a small initial source of radicals,
which we provided by introducing a species "RX" which decays to produce
OH- radicals at a rate equal to the HONO photolysis rate.

PHOTOLYSIS OF 03

     The photolysis of ozone that leads to the production of 0( D) is
caused mainly by 280 to 310 nm UV.  There is still some uncertainty in
the quantum yields for the production of 0( D) (Philen, Watson, and Davis,
1977).  During our work on chamber effects and the 2,3-dimethylbutane/NO
                                                       1
system, we found that the input of radicals from the 0( D)-H20 reaction
might be important.  Detailed discussions of this potential radical source
are presented in Section  6 on chamber effects and Section  5 on
2,3-dimethylbutane chemistry.

     Our major conclusion concerning 0( D) production is that accurate
quantum yields for the production of 0( D) from the photolysis of ozone are
needed, or possibly an NO titration from the N^O reaction with 0( D)  in a
smog chamber using an accurate NO detector (Stedman, 1977) could be used.
Recent work by Kajimoto and Cvetanovic  (1976) has shown that 0( D) produc-
tion from ozone may be temperature-dependent.  The effect of temperature  is
to spread the range of UV that photolyzes 03 to produce 0( D) from 280 to
310 nm to 280 to 317 nm or 280 to 320 nm.
   As noted earlier, in all figures in this report symbols represent measured
   concentrations and lines represent simulated concentrations.
                                      34

-------
   i.OOr
   o.oo
             100     200     300     400    500


                            TIME, minutes
600
700
800
   0.52
E  0.39
c.
a.
   0.26
8  0.13
                         (a)  N02, NO, and
   0.00,
                           J_
                                  _L
             100    200    300     400     500


                              TIME, minutes



                              (b)  Propylene
600
                                                       700
              800
 Figure  7.   UNC propylene/NOx measurements  (8 August 1977) and
             explicit propylene mechanism  predictions with MONO

             chemistry included (initial HONO concentration
             of 3 ppb)

                                     35

-------
    1.00
Q-  0.-7S
CL
    0.50
LU
O
    0.25
    0.00
             100
ZOO
  300     400     500

   TIME, minutes'


(a)  N02, NO, and 03
                                                600
                                  700
800
    0.5Z
    0.00
              100     200     300    400    500

                            TIME, minutes
                            600
                              700
800
                            (b)  Propylene
  Figure 8.   UNC propylene/NOx measurements (8 August 1977) and
             explicit propylene mechanism predictions without HONO
             chemistry (an initial concentration of 1.5 ppb of
             radical source "RX" was  included)

                                  36

-------
PHOTOLYSIS OF HYDROGEN PEROXIDE

     The absorption cross sections for the photolysis of hydrogen peroxide
(Hp02) were measured by Lin, Rohatgi, and DeMore (1978).  The new values are
approximately 40 percent lower than the values used by Whitten and Hogo (1977)
We incorporated the new absorption cross sections into the calculation of the
hydrogen peroxide photolysis rate constant.

REACTIONS OF OH- WITH NO AND WITH N02

     The reaction of nitrogen dioxide (N02) with hydroxyl radical (OH-) is
a sink of both radicals and NO :
                              /\

                          OH- + N02 -» HON02    .                        (1)

As discussed above, the reaction of OH- with nitric oxide (NO),
                                    M
                           OH- + NO + HONO    ,                         (2)

is of little importance during a smog chamber experiment because HONO photol-
yzes, at a time constant of about 5 minutes, to regenerate OH« and NO.
Recent evaluations by Hampson and Garvin (1978) have shown that the rate
constants for these two reactions are faster than previously reported values
         33-1-1
of 9 x 10  and 9.2 x 10  ppm  min  , respectively.   The values now used in
our kinetic mechanisms for the rate constants of NO + OH* and N09 + OH- are
        4             4-1-1
1.4 x 10  and 1.4 x 10  ppm  min  , respectively.

REACTION OF N205 WITH HgO

     One of the major wall reactions we have considered in past studies is
that of dinitrogen pentoxide (N205) with H20:

                          N205 + H20 •> 2HON02                           (3)
                                    37

-------
This reaction has been studied extensively, but the contributions  of  the
heterogeneous and homogeneous pathways are still  uncertain.   In  previous
simulations of the University of California at Riverside smog chamber data,
we used a value of 5 x 10~  ppnf min"  as the rate constant  for  this  reac-
tion.  Jeffries, Fox, and Kamens (1975) used a value of 5.6  x 10   ppm min
for the N20g + H20 reaction to simulate experiments in the outdoor smog
chamber at the University of North Carolina.  Carter et al.  (1978) reported
that earlier UCR experiments (before EC-116) required a higher N205 + H20
rate.  Some of our simulations of more recent UCR experiments suggest that
this rate constant may be lower than the value of 5 x 10  ppm  min  .
Therefore, for UCR experiments before EC-121, we used a value of 1.5  x 10
ppm" min"  [which is the upper limit reported by Morris and  Niki (1975)].
For more recent UCR experiments, we are using a value of 5 x 10"  ppm" min"
in the computer simulations until more conclusive results are reached.

REACTION OF H02 WITH N0£

     One of the interesting results in smog chemistry is the observation  of
the intermediate species HOONOp (peroxynitric acid or PNA) from the reac-
tion of hydroperoxyl radicals (HOA) with N02-  This species  has  been
observed by Niki et al. (1977) and Levine et al. (1977).  The fate of
peroxynitric acid is a matter of controversy.  Apparently, PNA can decom-
pose to re-form HOA and NOp or decompose on surfaces to form MONO and 02-
Niki et al. (1977), however, did not detect any MONO in their experiments
on HOON02:

                                   $
                         HO^ + N02 $ HOON02    ,                        (4)

                               PNA -» HONO + 02     .                     (5)

Jeffries (1976) hypothesized that the decomposition of peroxynitric acid is
analogous to that of peroxyacyl nitrates and with a similar  (high) activa-
tion energy for decomposition.  Howard (1977) measured the pressure-dependent
                                      38

-------
rate constant for the PNA formation reaction to be approximately 7200 ppm
ppnf min~  and estimated that the reaction to form MONO and 00 has a rate
                           -1   -1
constant of less than 4 ppm  min  .  Graham, Winer, and Pitts (1978)
reported the HOON02 decomposition rate constant as 5.8 min"  at 298K.  This
is the limiting first-order high-pressure rate constant.   The activation
energy for the decomposition of HOON02 was reported to be 19.9 kcal mol  .
Baldwin and Golden (1978) also investigated HOONOp formation and decomposi-
tion.  From thermochemical estimates, they reported the PNA formation rate
to be approximately 7750 ppm" min   and the activation energy for the decom-
position reaction to be 23 kcal mol" .  Since the rapid formation and
decomposition of PNA leads to a steady-state relationship, which can be
eliminated from current mechanisms, we chose for the time being to not
include PNA formation or decomposition in our kinetic mechanisms.

REACTIONS OF 0(]D)

     Two reactions of 0( D) are included in the inorganic reactions in our
kinetic mechanisms:  0( D) + M and 0( D) + H20.  The rate constants for
these reactions have been updated to the values recommended by Hampson and
Garvin (1978).  The rate constant for 0(]D) + M is 3.22 x 104 exp(98.6/T)
ppm^min" .  The rate constant for 0(^0) + H90 is 3.4 x 105 ppm~1mirf1.
REACTIONS OF HO^ WITH NO AND WITH HO^

     The series of reactions involving hydroperoxy radicals (HOA) was
recently studied by Howard and Evenson (1977).  For HOA + NO, they
                                    4-1-1
reported a rate constant of 1.2 x 10  ppm  min  , which is a factor of 6
higher than the value estimated by Cox and Derwent (1975).  We used the
increase in the HOA + NO reaction rate constant to justify increasing our
estimated rate constants of all reactions involving HOA, since most of the
rate constants of reactions with HOA have been measured relative to a base
reaction.  As an example, for the H02 + H0£ reaction we are tentatively using
a value of 1.5 x 10  ppm  min" .
                                       39

-------
REACTIONS OF OZONE WITH OH- AND WITH
     Rate constants for the reactions of ozone with OH- and HOA have been
updated to the values recommended by Hampson and Garvin (1978).  Both reac-
tions have an activation energy of ^lOOOK.  The rate constant at 298K for
0^ + OH- reaction is 77.2 ppnf min" , and the rate constant at 298K for
                   -1-1
03 + H0£ is 1.5 ppm  min  .   Based on the higher HO* + NO rate constant
reported by Howard and Evenson (1977), we raised the 00 + HO; rate con-
              -1-1                                 "*
stant to 5 ppm  min  .   As noted above, rate constants for reactions
involving H0£ are still very uncertain because most rate constants are
measured relative to the rate constant of a reference reaction.
DARK DECAY OF OZONE
     The ozone dark decay rate was reevaluated for the UCR chamber on
6-7 July 1976.  UCR found an ozone half-life of 16 hours,  which gives an
                                     -4    -1
ozone dark decay constant of 7.2 x 10   min  .  Determinations of the
ozone dark decay in June 1973 gave values of 1 x 10"  min" .   Another
                                                    -4    -1
determination on 18 May 1976 gave a rate of 9.7 x 10   min  .   Due to the
uncertainties involved in any specific value, we assumed a value of
1 x 10   min"  for the ozone dark decay rate in all simulations of UCR
experiments.  For simulations of experiments in other chambers we devel-
oped a theoretical method for estimating the ozone dark decay (see
Section 7).
REACTIONS OF NO^ WITH NO AND WITH N02

     Graham and Johnston (1978) studied systems involving the nitrate radi-
cal  (NO.,) and  reported  rate constants for the reactions of N03 with NO and
N00  that are different  than those recommended by Hampson and Garvin (1975).
                                                     4-1-1
We are  currently using  the rate constants of 2.8 x 10  ppm  min   for
NOi  + NO and 3800 ppm"  min"  for NO^ + N02 reported by Graham and Johnston
(1978).
                                    40

-------
REACTION  OF CO WITH  OH-

     The  reaction  rate constant for CO +  OH-  has been  reported to  be higher
than the.value of  206 ppm  min    recommended  by Hampson  and Garvin (1975).
Cox, Derwent, and  Holt (1976) reported a  rate constant of 400 ppm" min"
and Sie,  Simonaitis, and Heicklen (1976)  reported a  high pressure  limit
value  of  524 ppm"  min" .  We  are currently using a value of 440 ppm" min   ,
as reported by Chan  et al.  (1977).

THE INORGANIC REACTIONS IN  THE  EXPLICIT MECHANISMS

     The  25 inorganic reactions common to all explicit kinetic mechanisms
discussed in this  report are  presented in Table 1.
           TABLE 1.   INORGANIC REACTIONS AND RATE  CONSTANTS  IN  THE
                      EXPLICIT MECHANISMS
                                                         _         energy
                     Reaction _ (ppm' min' ) _ (K)

          NO- t h, - NO + 0(3P)                            Experimental*

          0(3P) + 02 + M -> 03 + M                          2.08 x 10~5+

          0(3P) + N0? - NO + 02                            1.34 x 104

          03 + NO - N02 + 02                             2.39 x 101        1450

          0('o) + M - 0 + M                              4.45 x 104        -97.3

          Ot'o) + H20 - 20H-                             3.4 x 105

          03 + OH- * H0£ + 02                             7.72 x 101        1000

          03 + H02 -» OH- + 202                            5.3            1525

          03 + N02 -* N03 + 02                             4.75 x 10"2       2450

          03 + hv - 0(10) + 02                            Experimental*


          03 + hv H. 0(3P) + 02                            Experimental*
                                     41

-------
                           TABLE  1  (Concluded)

Reaction
2HONO -> NO + N02 + H20
HONO + hv - OH- + NO
N02 + OH- + M -. HON02 + M
NO + OH- -. HONO
°2
CO + OH- -^ HOj + C02
H02 + NO - OH- + N02

H202 + hv -» 20H-
03 * wall
N03 + NO * 2N02
NO, + NO, •» N-O,-
3 2 25
2 5 32
NO + N02 + H20 -. 2HONO
N7°«i * H2° * 2HON°2
Rate constant
at 298K
(ppm" min" )
1.5 x 10"5
Experimental*
1.4 x 104
1.4 x 104
4.4 x 102
1.2 x 104
1.5 x 104
Experimental*
1 x 10"3
2.8 x 104
j.fi n 103
1.22 x 101*
1.6 x 10"11
5 x 10
Activation
energy
--
--
--
--
„
--
--
--
--
--
--
10600
--
--
*Rate constant in min" .
tRate constant in ppm" min~ .
t In simulations of runs  before UCR EC-121 k «  1.5 x 10"5 pprn'^ln"1 was used.
                                    42

-------
                               SECTION 5
         DEVELOPMENT AMD APPLICATION OF THE EXPLICIT MECHANISMS

     During the past two years, we shifted the focus of our studies  on
explicit mechanisms from propylene and butane to other compounds.  While
continuing to revise the explicit mechanisms for propylene  and butane as
new information became available, we began more fundamental  studies  of
formaldehyde chemistry and acetaldehyde chemistry (the latter includes  PAN
chemistry).  We also expanded upon or extrapolated from the basic  pathways
of oxidation of propylene and butane to obtain oxidation pathways  for
other molecules, including ethylene, 1-butene, trans-2-butene, and 2,3-
dimethy!butane.  The rationale behind much of our work on explicit kinetic
mechanisms was the concept of hierarchical levels of chemical  species in
smog, as discussed in Section 3.

     In the subsections that follow, we discuss explicit mechanisms  in
the order suggested by the hierarchy of species.  Only sample results are
shown in this volume—all of the simulated and measured pollutant  concen-
trations for all smog chamber experiments studied are presented  graphically
in Volume II.

FORMALDEHYDE

     As hydrocarbons are oxidized in photochemical  smog, they generally
produce formaldehyde at some point.   Therefore, the atmospheric  chemistry
of formaldehyde is common to almost all smog chamber experiments and mech-
anisms dealing with ozone formation in the troposphere.  In fact,  NO and
formaldehyde are the minimum precursors required for urban  ozone formation.
[CO and NO would be the minimum precursors appropriate for  tropospheric
ozone since 0(^0) radicals rather than radicals from aldehydes would be
important in that case.]
             *

                                  43

-------
     There appear to be three primary reactions of formaldehyde in photo-
chemical smog:  photolysis (two reactions) and reaction with OH* :

                       HCHO + hv -> H« + HCO-     ,                   (6)
                       HCHO + hv + H2 + CO     ,                     (7)

                      HCHO + OH- + H20 + HCO.      .                   (8)

Note that formaldehyde photolysis can produce both radical  and nonradical
products.  The former is a major source of radicals  important to smog
chemistry:

                        H. + 02 + M -> H02 + M     ,                   (9)

                          HCO. + 02 + H02 + CO     .                 (10)

In air at atmospheric pressure, Reactions (9) and (10) are very fast, and
so Reactions (6) and (8) are normally written as:
                                 202
                       HCHO + hv —* 2H02 + CO     ,                 (11)
                                  0
                       HCHO + OH- -£ H20 + H02 + CO     *            ^12'

     Although the absorption cross section of formaldehyde in the ultra-
violet region is fairly well defined, the split between different photolysis
pathways under atmospheric conditions is somewhat uncertain.  The total
formaldehyde photolysis rate (relative to the N02 photolysis rate) and the
ratio of radical to nonradical photolysis products must be known or estimated
for simulations with the explicit kinetic mechanisms  in this report.   Koortgat
et al. (1978) recently measured the quantum yield for the photolysis of
formaldehyde [Reactions (6) and (7)].  Their results imply that the radical
and nonradical pathways occur at approximately equal  rates for typical
atmospheric conditions.  We are currently using the results of Moortgat
et al. in the computer simulations.  Unfortunately, the total formaldehyde
photolysis rate is not determined experimentally at UCR, unlike the N02

                                    44

-------
photolysis rate, even though an accurate value of that rate is  just as
important for simulating smog formation as an accurate N02 photolysis  rate
(Whitten and Hogo, 1977).

     The abstraction of a hydrogen atom from formaldehyde by OH-  [Reaction
(12)] has been the subject of various investigations (Morris and  Niki,  1971a;
Wilson, 1972).  The rate constant of 1.4 x 10  ppnf min~  recently reported
by Atkinson and Pitts (1978) was used in all mechanisms discussed in this
report.

     Data on formaldehyde experiments were available to us from three
sources:

     >  Bufalini, Gay, and Brubaker (1972) reported some experiments
        in small (160 liter) Teflon bags exposed to black!ights or
        fluorescent sunlamps.  In these experiments, relatively high
        initial concentrations of formaldehyde (about 12 ppm) were
        used.
     >  UCR performed four experiments with initial concentrations
        of both formaldehyde and NOX of less than 0.6 ppm.
     >  UNC supplied us with data for one run in its outdoor smog
        chamber initiated with about 1 ppm of formaldehyde and
        about 0.5 ppm of NOV-
                           A

     These experiments were simulated with the explicit formaldehyde
mechanism, which consists of the inorganic reactions listed in  Table 1
and the formaldehyde reactions in Table 2.  The initial conditions and
photolysis rate constants used in the simulations are listed in Table  3.

Experiments Reported by Bufalini, Gay, and Brubaker

     For each experiment reported by Bufalini, Gay, and Brubaker  (1972),
the ratio of the photolysis rate constant of formaldehyde to that of N02
was calculated using the method reported by Durbin, Hecht, and  Whitten
(1975).  That method utilizes the manufacturer's reported light spectra
            :,                        45

-------
   TABLE  2.    REACTIONS  OF FORMALDEHYDE
                  AND  ACETALDEHYDE*
           Reaction
                                        Rate constant
HCHO +  hv -» H? + CO
         202
HCHO + hv —- 2HO£ + CO
Experimental



Experimentalf
HCHO + OH- -* HOJ + CO + H20              1.4 x 10


           202
CH3CHO +  hv —>• CHjOj + H0£ + CO          Experimental
CHjCHO +  OH- -> CH3C(0)0^ +

              02
         + NO -» CHO + N0
    j + HO •> CH30- + H02
CH30- + 02 -«• HCHO + H0?
CH3C(0)02 +  H02 * CH3C(0)02H +


CHjO^ + HO^  - CHj02H + 02


CH3C(0)02 +  N02 - CH3C(0)02N02


CH3C(0)02N02 * CH3C(0)02 + N02
 CH30- + N02 * CH3ON02
 CH30- + N02 •* HCHO + MONO
             CH30-
                    20
2.4 x 10*


3.8 x 103


1.2 x 104


1.2


4 x 103


4 x 103


2 x 103


2.8 x 10


1.5 x 104


4.4 x 103


4 x 101
        ,-2tl
 * The first three reactions in this table and the inorganic
  reactions listed earlier constitute the explicit formal-
  dehyde mechanism.  The reactions In this table and the
  Inorganic reactions listed earlier constitute the explicit
  acetaldehyde mechanism.

 t Rate constant  In win  .
 I Activation energy Is  12.500K;  rate constant 1s given at
  298K.
                             46

-------


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and reported cross sections and quantum yields for N02 and formaldehyde.
Bufalini, Gay, and Brubaker (1972) reported N09 photolysis rate  constants
           -1                              1
of 0.32 min   for blacklights and 0.14 min   for sunlamps  using  the  method
recommended by Tuesday (1961).  Wu and Niki (1975), however,  reported that
such measurements can be in error by ±30 percent.   We used values  at the
low end of the range for the N00 photolysis constants to simulate  the
experiments reported by Bufalini, Gay, and Brubaker.   The  simulation results
did follow the measured formaldehyde disappearance fairly  closely, but the
predicted ozone concentrations early in the simulations were  too high (see
Figure 9).

     A second set of simulations was performed using the explicit  formalde-
hyde mechanism and the following reactions:

              H0£ + N02 + HOON02  ,  k = 7800 ppm^min'1     ,         (13)

                 HOON02 + H02 + N02 ,  k = 5 min"1     .             (14)

The formation of peroxynitric acid (HOO^ or PNA) is likely  to  be more
significant in the Bufalini, Gay, and Brubaker experiments than  in the UCR
experiments discussed later because of the higher concentrations in  the
former experiments.  Figure  10 shows the results of a simulation with
Reactions (13) and (14) included in the mechanism; including  PNA chemistry
slowed down both the simulated rate of disappearance of formaldehyde and
the simulated ozone formation rate.

     All other simulations in this report were performed with mechanisms
that did not include PNA chemistry because experience indicated that it is
unnecessary unless high concentrations of hydrocarbons and NOX are used and
the rate of ozone formation is very large.

 UCR Experiments

      The UCR smog chamber with  formaldehyde included small concentrations
 of butane as indicators of the  radical  concentrations.  These experiments
                                    48

-------
Q.
Q.
     0.80 -
     0.40 -
     0.00
                              TIME, minutes

                      (a)  H202, N02 and 03
E    12.00
Q.
Q.
      e.oo
      4.00
      o.oo
                25     SO     75     100    125    150    175    200
                              TIME, minutes


                     (b)  CO and formaldehyde
 Figure 9.   Pollutant concentrations measured in an experiment  by
            Bufalini, Gay, and Brubaker (1972) and simulation
            results--PNA chemistry not included
                                49

-------
CL
Q.
•a:
cc
    1.60
    1.20
    0.80
°-°°o
              25     50     75     100    125
                             TIME,  minutes

                         (a)   H202, N02, and 03
150
175    200
   is.oor
   12.00
Q.
Q.
o
o
    8.00
    4.00
    0.00
              25  ,  50      75     100    125    ISO     175     200

                             TIME, minutes

                        (b)   CO and formaldehyde
   Figure 10.   Pollutant concentrations measured in an experiment
                by  Bufalini, Gay, and Brubaker (1972) and simulation
                results--PNA chemistry included
                                  50

-------
were simulated with the formaldehyde mechanism plus the reaction

                  CH3CH2CH2CH3 + OH« •* Products     .                 (15)

The products of Reaction (15) were not treated in the formaldehyde mecha-
nism because the butane concentration was so low that more than 99 percent
of the OH-' produced reacted with other species.  The butane decay curve
thus provided a convenient monitor of the OH- concentration.   Attempting to
simulate the concentrations of butane, formaldehyde, and NC^ constitutes a
stringent test of the mechanism.  The simulation results and measurements
for Run EC-251 are shown in Figure 11 for illustration purposes; all results
are included in the appendix (Volume II).  A comparison of simulated and
and measured data appears in Table 4(a).

     Two of the four UCR experiments (EC-250 and EC-255) were ostensibly
free of NO  , though trace concentrations of NO  near the analytical detec-
          X                                   A
tion limits were reported by UCR.  We were able to simulate the ozone
measurements by assuming that NO degassed from the chamber walls at a rate
of 4.2 ppb hr"  , which leads to an influx of 25 ppb in six hours.  Such an
NO  concentration is near UCR's reported values, and tests showed that
  /\
adding that concentration to simulations of experiments with measurable
initial NO  concentrations (e.g., EC-251) had negligible effects.
          /\

     In all four UCR formaldehyde experiments, the measured initial formalde-
hyde concentration was lower than the concentration calculated from dividing
the amount of formaldehyde put into  the chamber by the volume of the chamber.
On our simulations, we used the calculated rather than the measured values.
The simulated formaldehyde concentration/time profiles have the same slope
as the measured ones, but they differ in magnitude by the same factor as
the difference between the measured  and calculated initial formaldehyde
concentrations.  The latter difference is being investigated at UCR.
Hopefully, the cause will be found to be a simple calibration error, since
the reactions in formaldehyde mechanisms are important in almost all kinetic
mechanisms for ozone formation.  Studies with formaldehyde at the UNC
                                   51

-------
CL
O.
DC.
     0.32r
     0.24 h
     0.16
     0.08h
     0.00
                50     100
ISO    200    250

 TIME,  minutes


 (a)   0,
300    350    400
    o.ioop
    0.000
                50     100     150    200    250     300     350

                               TIME, minutes
                                    400
                           (b)   N02 and NO
          Figure 11.   UCR formaldehyde experiment  EC-251:
                       measurements and simulation  results
                                 52

-------
 E
 CL
 Q.
      0.60
      0.45
       0.30
       0.15
       0.00
50     100
                                150    200     250

                                 TIME, minutes


                                (c)   Formaldehyde
300     350     400
 Q.
 Q.
     0.0058
     0.0050
     0.0042
5'   0.0034
     0.0026
                 50      100     150    -200     250
                                 TIME, minutes


                                  (d)  Butane
                                     300     350     400
                             Figure 11 (Concluded)
                                         53

-------










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-------
facility have shown a temperature-dependent adhesion of formaldehyde to the
chamber walls (Jeffries, private communication,  1978).   No adhesion was ob-
served at UCR, however, at typical operating temperatures around 303K.

     In simulating the formaldehyde experiment at the UNC outdoor smog
chamber, we encountered a different problem.  We first simulated the
diurnal light changes and matched the measured disappearance of formalde-
hyde by choosing a formaldehyde-to-NC^ photolysis ratio of about 0.005.
The ozone concentration ceased to rise after the formaldehyde had dis-
appeared, however.  We then assumed that a small background concentration
of some other hydrocarbon was present.  To keep the mechanisms simple, we
assumed that the hydrocarbon was ethylene, at an initial concentration of
0.1 ppm.  We later found that some ethylene (0.1 ppm being a reasonable
estimate) was indeed present as a result of the method being used to monitor
HNOo (Jeffries, private communication, 1978).  The results of this simula-
tion are shown in Figure 12.

     In conclusion, the formaldehyde mechanisms can generate reasonable
simulations, but the data available for validation are limited, and some
special assumptions were required in simulating each data set.  We hope
that more data will become available in the near future.  Since carbon
monoxide concentration around 10 ppm should begin to perturb experiments
such as that performed at UNC, similar formaldehyde/NO  experiments with
                                                      /\
and without added CO would provide valuable data for studying the relative
rate constants for the reactions of OH- with formaldehyde, N02, and CO.
The use of trace concentrations of butane in formaldehyde experiments
would also assist the modeling by providing some indication of the OH-
concentrations.

ACETALDEHYDE

     As suggested by the hierarchical levels discussed earlier, an explicit
kinetic mechanism for acetaldehyde can be generated by adding acetaldehyde
chemistry to the formaldehyde and inorganic chemical reactions.  As with
formaldehyde, acetaldehyde apparently reacts by two major pathways, photo-
lysis and reaction with OH-:
                                      55

-------
E
CL
CL
   0.72
   0.51
   0.36
UJ
o


§  0.18
   0.00
                                               K  X X  X * *
                    180     270     360     450    540

                            TIME,  minutes


                          (a)  N02, NO, and 03
       630    720
   l.OOr
 E 0.75
 O.
 O.
   0.50
S 0.25
   0.00
              90     180     270     360    450

                             TIME, minutes


                           (b)  Formaldehyde
5*0    630    720
        Figure 12.   UNC formaldehyde experiment (18 July 1977):
                     measurements and simulation results
                                      56

-------
                   CH3CHO + hv + CH3 + HCO-     ,                    (16)

                  CH3CHO + OH- -> CH3C(0). + H20     .                 (17)

Photolysis of acetaldehyde to yield molecular, nonradical products, anal-
ogous to the formaldehyde reaction HCHO + hv -*• H2 + CO, does not seem to
occur extensively (Calvert and Pitts, 1966).  The radicals produced in
Reactions (16) and (17) are rapidly converted in air as follows:

                       CH3 + 02 + CH302    ,                         (18)

                      HCO- + 02 + H02 + CO     ,                     (19)

                  CH3C(0). + 02 + CH3C(0)02    .                      (20)

Reactions (16) and (17) are thus usually written as:
                            202
                CH3CHO + hv _ CH^ + HQ^ + CQ     ^               (2])

                             °2
                CH3CHO + OH-—^CH3C(0)02 + H20     .                 (22)

     Acetaldehyde chemistry introduces the chemistry of alkylperoxy radicals
(R02) via the methylperoxy radical and the chemistry of peroxyacyl nitrates
[RC(0)02N021 via the formation of peroxyacetyl nitrate [CH3C(0)02N02, or PAN]
from acetylperoxy radical:
                             °2
              CH3C(0)02 + NO —  CH302 + N02 + C02     ,             (23)

              CH3C(0)02 + N02 2 CH3C(0)02N02     ,                   (24)

                   CH302 + NO + CH30- + N02     ,                    (25)

                   CH30« + 02 -»• HCHO + H02     ,                      (26)

                       2CH0  -> 2CH0- + 0      ,                    (27)
                                  57

-------
                     CH302 + H02 •» CH302H + 02     ,                  (28)

                      CH302 + 03 -> CH30- + 202     ^                  (2g)

                     CH30- + N02 + CH3ON02     ,                     (30)

                     CH30- + N02 •> HCHO + HONO     .                  (31)

     PAN formation was recently studied by two independent groups (Hendry
and Kenley, 1977; Cox and Roffey, 1977).  Cox and Roffey (1977) reported a
value of 0.54 for the ratio of k(cH3C(0)02>N02)/k(CH3C(0)02+NO)' whereas
Hendry and Kenley (1977) reported a value of 0.29 for the same ratio.

     For the rate constant of the reaction of CH^C(0)02 with NO, Cox and
Roffey (1977) reported a value of 3800 ppnf nrin" .   Hendry and Kenley
(1977) reported a value of 4900 ppm" min~  based on the above ratio and the
PAN formation rate.  Our simulations of the UCR experiments involving PAN
chemicals appear to fit the data the best for values  near 1.0 for the
ratio k(CH3C(0)02+N02)/k(CH3C(0)02+NO)-  The modelin9 study «* Cartei" et al-
(1978) also seems to suggest a ratio near 1.0.  Until the matter can be
resolved, however, we will use the highest experimentally determined value
(0.54), as did Carter et al. (1978).

     The methylperoxy radical (CH302) produced in Reaction (23) most cer-
tainly reacts with NO to give N02-  The rate constant for the latter
reaction seems uncertain at present in light of the recent evaluation of
the similar reaction of the hydroperoxy radical with NO (Howard and
Evenson, 1977).  As  in earlier modeling studies at SAI, we used identical
rate constants for the reactions of CH302 and H02 with N0--in this study,
we used 1.2 x 104 ppm" min~ .  Since the steady-state CH^  concentration
is controlled largely by the reaction of CH302 with NO, the importance of
other reactions of CH302>, such as Reactions (27) and (28), must remain
uncertain until experimental verification of the rate constant for Reaction
(25) is obtained.

     The chemistry of the methoxyl radical (CH30«) is apparently deter-
mined by the competition among Reactions  (26),  (30), and  (31).. Using  .

                                  58

-------
the same reaction rate constants for Reactions (30)  and (31)  as did Whitten
and Hogo (1977), we found that a rate constant of 1.2 ppnf min"  for
Reaction (26) gave the best overall  agreement with the methyl  nitrate con-
centration measurements for UCR acetaldehyde experiments and  for all other
UCR experiments as well.   Our choice of rate constant for Reaction (26)  is
somewhat" larger than the value of 0.95 ppnf min"  reported by Barker,
Benson, and Golden (1977), which was extrapolated from high temperature
experiments.

     Reactions (27) and (28) are important only at high radical concentra-
tions, because their rates depend on the square of the peroxy radical con-
centration.  The products of these two reactions are uncertain, but the
rate constant  of Reaction (27) is apparently  low (Whitbeck et al.,  1976).
The rate constant for  Reaction (28) is not known; so in the explicit mechan-
isms in this report we used the geometric mean of the rate constants for
Reaction (27)  and the  reaction

                         2^ -" H202 + 02                            (32)

     The rate  constant for the reaction of CH-jOX with ozone (Reaction 29)
was estimated  by Walter, Bufalini, and Gay (1977) to be between 10  and 22
ppnf min"  , based primarily on the rate constant 2.3 ppnf min"  for the
reaction of HOA with  ozone.   Since we chose  a value of 5.3 ppm" min"
                                                       -1   -1
for the latter rate constant, we used a value of 40 ppm  min   for  the
rate constant  of Reaction (29).

     We used the explicit acetaldehyde mechanism shown in Table 2 to
simulate two acetaldehyde/NOx experiments performed in the evacuable
chamber at the University of California at Riverside.  The initial  con-
ditions in those experiments and the calculated photolysis rate constants
are listed in  Table 5.  Simulated and measured values are compared  in
Table 4(b).  A third UCR acetaldehyde experiment  (EC-164) was  not  included
because the temperature data for that run  indicate that the temperature
control system was not functioning properly.

     The results of the simulation of EC-254  are shown  in Figure 13.  As
was done for the formaldehyde experiments, small amounts of n-butane were
                                 59

-------
    TABLE  5.   INITIAL CONDITIONS AND  PHOTOLYSIS  RATE CONSTANTS FOR
                 THE ACETALDEHYDE/NOX SMOG  CHAMBER  EXPERIMENTS

          Initial  concentration (ppm)      	Photolysis rate constant (x 10  min' )	
nmter Acetaldehyde   MO     ""2   MONO  NVN°-f0* QfQ( °)  Qj4>( p)  HONO^NOHIH-  H2°2~20H" FORH*Products
EC-253
EC- 254
0.56
0.52
0.0
0.085
0.0
0.027
0.0
0.0
0.30
0.30
6.9
6.9
90
90
830
830
3.
3.
,5
,5
6
6
* Rate constant 1n min" .
t The relationship between FORH^Products and carbonyl photolysis rate constants  1s
  discussed 1n Section 4.
                                          60

-------
    0.52
E   0.39
Q-
Q.
UJ
    0.13
    0.00
               50     100     ISO    200     250     300     350

                             TIME,  minutes


                         (a)  Acetaldehyde and 63
400
 E
 Q.
 O.
    o.ioop
    0.075
    0.050
 O

 o  0.025
    0.000
                                         ********
               50     100     150     200    250     300     350

                             TIME,  minutes
400
                               (b)  N02 and NO
             Figure 13.   UCR acetaldehyde experiment  EC-254:
                          measurements and simulation  results
                                    Gl

-------
    0.0072p
E   0.0066)

d.
^  0.0060 |

S
i—
•z.
UJ
o


8  0.0054
    0.0048
0      50     100
                               150     200    250

                                 TIME, minutes


                              (c)  n-Butane
300    350     400
     O.lOOp
  E  0.075
  D.
  O.

     0.050
 8  0.025
     0.000
          0      50     100     150     200     250     300    350     400

                                TIME,  minutes



                        (d)  Formaldehyde and PAN
                           Figure  13 (Continued)
                                    62

-------
    0.0100
Q.
Q.
    0.0075
    0.0050
UJ
o
    a. 0025
    0.0000
0      50     100
                                150    200     Z50

                                 TIME, minutes


                                    (e)   H202



                              Figure  13  (Concluded)
300     350     400
                                      63

-------
added to act as monitors of the concentration of OH-  in the smog chamber.
(Assuming that n-butane reacts primarily with OH*,  the disappearance  of
butane can be correlated with the production of OH-)-   The simulations  fol-
low the .observed n-butane disappearance very well,  which suggests that  the
explicit mechanism generates the correct amount of  OH*.

     In UCR Run EC-253 the measured Q^ concentration  was greater than the
calculated steady-state concentration by a factor of  7:

            ki[N02]   0.3[N02]   / n o\ /n mo\
         =  	=	M^^   TTTtfil  = °-019 PPm     •     (33)
      ss    k3[NO]    25.2[NO]   \"'V \u-uua/

(In EC-253 the measured concentrations of NO and N02  were nearly constant
throughout the experiment.)  If the steady-state approximation is to  hold,
some source of NOX is needed in this low-NOx experiment.  We introduced
NO into the simulations of EC-253 and EC-254 at a rate of 7 x 10~5 ppm  min"
and thereby obtained a better simulation of 03 in EC-253 with little  change
in simulated 03 generation in EC-254, which contained added NOX.

ETHYLENE

     Two new olefin/NOx systems were investigated at UCR during the past
year:  ethylene/NO   (six experiments) and trans-2-butene/NO  (three experi-
                  X                                        X
ments).  So far, these two systems represent the slowest- and fastest-reacting
olefins studied at UCR.  The rate constants for the ethylene + OH- reaction
and the trans-2-butene + OH* reaction are 3.5 times lower and 2.8 times
greater than the propylene + OH* rate constant.  The mechanisms developed
for these two olefin/NOx systems are basically extensions of previously
developed propylene/NOx mechanisms.  We discuss ethylene chemistry below and
trans-2-butene chemistry following the subsection on propylene.

Ethylene + 0(3P) Reaction
                                     O
     The reaction of ethylene with 0( P) atoms has been studied by Davis
et al.  (1972), who reported a rate constant of 1200 ppm" min"  , which is
                                   64

-------
1.6 times greater than the value reported by Atkinson and Cvetanovic (1971)
and Niki, Daby, and Weinstock (1969).  Westenberg and de Haas (1969)
reported a rate constant of 1100 ppnf min~  for this reaction.  In the
explicit ethylene mechanism, we are currently using the Davis et al. value
of 1200 ppnf1 mi n'1.

     The products of the ethylene + 0( P) reaction under atmospheric condi-
tions seem uncertain since most studies of the products have been conducted
at low pressure.  For the present, we are using two basic pathways with a
50 percent split:
                           -   20?
               CH2=CH2 + OrP) -4 CH302 + H02 + CO
                               —" CH2-CH2
                        /0\*   M
                      CH2-CH2  	, CH3CHO

Ethylene oxide and acetaldehyde were observed by UCR as minor products in
the ethylene/NOx experiments.  During the coming year, we hope to eluci-
date the formation mechanism for these two compounds more clearly.  For
now, the choice of rate constants produced simulated acetaldehyde concen-
trations within the apparent "scatter" of the UCR data.  Through more
careful analysis, we may be able to develop a mechanism for acetaldehyde
production from the ethylene chemistry that could eliminate some of the
apparent "scatter."

Ethylene + OH« Reaction

     Analogous to the propylene + OH-  reaction, ethylene and OH- react to
form a hydroxyalkylperoxy radical:

                                 °2
                   CH2=CH2 + OH- -4 CH2(02)CH2OH

CH2(02)CH2OH  apparently reacts  with NO and perhaps  03 as follows:
                                     65

-------
              CH2(02)CH2OH + NO -* N02 + CH2(0-)CH2OH

                         H + 03 -»• CH2(0-)CH2OH + 202
                   CH2(0-)CH2OH -^ HCHO + -CHgOH
                                02
                        •CH2OH  -*• HCHO + U02
     These reactions lead mainly to the formation of formaldehyde.   Indeed,
UCR observed high formaldehyde concentrations (a peak of approximately
0.9 ppm of formaldehyde from an initial ethylene concentration of 2 ppm).
The rate constant of the ethylene + OH- reaction has been studied by several
groups (Davis et al., 1975; Pastrana and Carr, 1975; Davis, 1976; Howard,
1976; Meagher and Heicklen, 1976).  The more recent measurements of the
rate constant are higher than the earlier ones.   Davis (1976) estimated a
                 Q    -1   -1
value of 7.9 x 10-* ppm  min  , yet Lloyd et al.  (1976) reported an average
value of 1.2 x 10^ ppm" min" .  We are currently using the average value of
Lloyd et al. in the explicit ethylene mechanism.

Ethylene + 03 Reaction

     The ethylene + 03 reaction has recently been reviewed by Niki (1978).
Its initial products appear to be formaldehyde and a reactive intermediate
sometimes referred to as a Criegee intermediate:

                   CH2=CH2 + 03 •»• HCHO + CH202

Herron and Huie (1977) have elucidated the unimolecular pathways for the
Criegee intermediate:
                                  rn 67%
                       CH202 + H2COO —»• H20 + CO
18%
9%
— >• 2H H
6%
H C02
H C02
                                         HCOOH
                                   66

-------
However, the intermediate apparently can react with NO, N02> and alde-
hydes :

                     CH202 + NO + N02 + HCHO

                    CH202 + N02 -*• N03 + HCHO

               CH202 + Aldehyde -»• Ozonide

Moreover, the relative rates of these reactions are not yet available.
For the present, we have used rates similar to those employed by Carter
et al.  (1978).  We set the sum of the unimolecular pathways equal to
1000 min~ ; for the reaction with NO, we used the rate constant equal to
the H02 reaction constant at 12,000 ppnf min" ; for the reaction with N02,
we used the rate constant equal to the HO? reaction constant at 7700
   -1   -1
ppm  min  , and for the reaction with aldehydes, we used a rate constant
of 2000 ppm" min"  to be consistent with observations of ozonides from
aldehydes (Niki, 1978).  During the coming year, we hope to develop more
information on the relative rates for this reactive intermediate.  However,
the overall simulation results are not strongly dependent on these para-
meters.
     For the rate constant of 0, with ethylene, we are currently using an
                                -1   -1
intermediate value of 0.0024 ppm  min   from the range reviewed by Niki
(1978) of 0.0018 to 0.0045 ppm^min'1.

Simulations with the Ethylene Mechanism

     Tables 6, 7, and 8 list the explicit mechanism for ethylene chemistry,
the conditions used to model six experiments, and the results of comparing
some observed and simulated values.  A sample computer output for UCR
Run EC-143 is shown in Figure 14.

     The present UCR data set presents  a difficult problem for the predic-
tions of the mechanism.  In particular, the second data set from UCR for
                                  67

-------
        TABLE  6.    REACTIONS  OF  ETHYLENE*
                                                     Rate constant

_ Reaction _ (ppm  min  )

           20Z                                              2
CH2=CH2 + 0 — - CH302 + H02 + CO                        6 x  1(T
CH2=CH2 + 0 -» CH2 - CH?                               6 x 10"
        H2  *  CHjCHO                                    1 x lO"



              °2                                               4
CH2=CH2 + OH- — • HOCH2CH202                            1 .2 x 10*


CH2=CH2 + NO^ - NC2 + Product                          1.1


CH2=CH2 + 03  * HCHO + CH202                            2-4 x 10"3
                 /
 CH202 + HCHO - H2C^ ^H2                           2 x 103
 CH,0; + CH,CHO -» H,C      XHCH,                        2 x 103
                         ^
 CH2Oj + NO -» N02 +  HCHO                                 1-2 x 104


 CH202 + N02 •* N03 + HCHO                                8 x 103


 CH202 -»CO + H2 + 02                                   6.7 x 102"


        C0  + H                                        1.8 x 102
 CH202  - 2HOJ + C02                                     9 x 10

                                                            I-*.
 CH202  -» HC(0)OH                                        6x10


 HOCH2CH202- + NO * N02 + HOCH2CH20-                      1.2 x 104



           °2                                               5t
 HOCH2CH20- —» 2HCHO + HOJ                             3 x 10


 HOCH2CH20^ + H02 * HOCH2CH202H + 02                     4 x 103


 2HOCH2CH20^ - 2HOCH2CH20-  + Oj                          5.0 x 10


 HOCH2CH2Oj * 03 - HOCH2CH20- + 20?                      5.0


 * The Inorganic, formaldehyde, and aceuldehyde reactions  listed earlier
   oust be added to construct the explicit ethylene mechanism.

 t Rate constant In min" .
                               68

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   o.oo
                            ISO     200     250


                            TIME, minutes


                                 (a)  0,
                                                 300    350    400
    0.48r
    0.36
    0.24
Q.

 *l


o
t-H



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UJ
8   0.12
    0.00
Figure 14.
                                                                 j
              50     100    150    200    250    300    350     400


                             TIME, minutes


                             (b)  N02 and NO


             Simulation .results for a UCR  ethylene experiment  (EC-143)
                                   70

-------
     2.40
s.
Q.
o
O

O
o
   . 1.80
     1.20
0.60
     0.00
50     100    150     200     250

               TIME, minutes


               (c)  Ethylene
                                               300
                                                           350    400
    0.024r
    o.oie
    0.012
LU
o
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8  0.006
    0.000
                                                «    K
               50
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                  100
              150     200     250    300     350

               TIME, minutes


           (d)  Acetaldehyde and PAN



            Figure  14   (Continued)
400
                                   71

-------
    ,1.201

-------
three experiments was generated using twice the concentrations of the first
set of three experiments.  However, the resultant ozone maxima were some-
what lower in the second set even though the NOp photolysis rates were
higher.  When the precursor concentrations are doubled, our present
mechanism tends to produce somewhat more ozone.  Figure 15 shows an iso-
pleth diagram of simulated maximum one-hour ozone levels using our present
ethylene mechanism and the lighting conditions appropriate to the first
series of UCR experiments (EC-142, EC-143, and EC-156).  The initial  concen-
trations for all six UCR experiments are shown.  In this figure, the rapid
change in possible ozone maxima in the high-NOx and low-ethylene concentra-
tion region stems from the arbitrary six-hour cutoff for the simulation time.
However, as is clear from the diagram, ozone production increases very
slowly with increased concentration in the region where the UCR experiments
were performed.  Thus, more experiments using lower concentrations will be
necessary to verify the present mechanism.

PROPYLENE AND BUTANE

     In a previous report (Whitten and Hogo, 1977), we discussed explicit
propylene and butane mechanisms that produced reasonable computer simula-
tions of a factorially designed series of experiments performed at UCR.
As discussed in Section 3, changes in the inorganic, aldehyde, or PAN
chemistry can have effects on simulations with the propylene and butane
mechanisms.  These changes must be evaluated.  Changes in the chemistry at
the lower hierarchical levels (see Figure 1) that produce a deterioration
in the fit between simulations with the propylene or butane mechanism and
the corresponding UCR measurements imply that some aspect of the propylene
or butane chemistry is in error.

     Some important changes in the chemistry of the lowest level (inorganic)
species were made in the past two years as a result of recent research (see
Section 4 for a discussion).  These changes must be compensated for by addi-
tional changes w.ithin the propylene and butane mechanisms if agreement
between the simulations and the UCR data are to be retained.
                                   73

-------
          0.6    1.6     2.4
                              3.2    4.0

                              NMHC, ppmC
4.B     5.6    6.4     7.1     8.0
Figure 15.    Isopleth  diagram of simulated maximum one-hour-average
              ozone  concentrations using the ethylene mechanism
                                    74

-------
     To compensate for these changes, we examined three parts of the propylene/
butane chemistry:

     >  Radical production from ozone-olefin reactions
     >  Peroxy radical reactions with ozone
     >  Alkoxyl radical chemistry in the butane mechanism.

We also updated some rate constants and made other minor changes in the
propylene and butane mechanisms.  This work is described in the following
subsections.

Ozone-Olefin Reactions
     The propylene mechanism concerning this reaction was changed to be
similar to the ethylene mechamism discussed earlier.  However, in the
propylene case two initial pathways are possible:

                     CH3CH=CH2 + 03 + CH3CHO + CH202

                                    -»• HCHO + CH3CH02

The reaction has been studied by Dodge and Arnts (1978), and we have used
both their mechanism for the methyl-Criegee intermediate and their assump-
tion of a 50 percent split from the initial ozone attack.  As with the
ethylene mechanism, we used similar rate constants for the reactions of
the methyl-Criegee intermediate with NO, N02, and aldehydes.  However, the
present scheme will be evaluated more extensively in the coming year as
more laboratory data on the relative reactivity of these Criegee-intermediate
species become available.

Peroxy Radical Reactions with Ozone

     Although we discussed the methylperoxy and hydroperoxy reactions with
ozone earlier in connection with the acetaldehyde mechanism, the special
peroxy radical that apparently forms after the hydroxyl addition to propy-
lene has never been reported in the literature as reacting with ozone:
                                    75

-------
                                    o-
                              °2    !
               CH3CH=CH2 + OH- 4 CH3CHCH2OH (RA02)
                    RA02 + 03 -* CH3CHO + HCHO + H02 + 02

The RA02 radical actually has two versions:  one as shown and the other
from hydroxyl attack at the central carbon atom.  However, the products
from reaction with either ozone or NO are probably indistinguishable; so
we did not consider the alternate route.  Our basic reason for including
this possible reaction scheme with ozone is that the simulations without
it tend to have too many NO-to-N02 conversions after the onset of signifi-
cant ozone formation.  Thus, the present scheme may prove to be incorrect,
but some other scheme producing similar overall behavior seems necessary.
In a typical propylene simulation, more conversions of NO to N02 per
molecule of propylene reacted are required to simulate the NO decay and
N02 production than the amount needed later in the simulation when N02
has decayed and ozone is rapidly forming.  During the coming year, we will
study the time-dependent NO-to-N02 conversion yield per hydrocarbon reacted
for propylene and other molecules.  Such information can be generated from
both the simulations and the data, and the information should clearly high-
light discrepancies between the observational data and various propylene
mechanisms.

Alkoxyl Radical Chemistry

     The alkoxyl radical (RO-) chemistry in our mechanisms was discussed in
detail by Whitten and Hogo (1977).  In the propylene and butane mechanisms,
only alkoxyl radicals with four carbon atoms or less are important.  The
following reactions for the primary alkoxyl radicals are used in these
mechanisms:

                     °2                                  *     i
     CH3CH2CH(0-)CH3-i CH3CH202' + CH-jCHO    k = 1.0 x 10b min"1    ,  (34)
                                    76

-------
CH3CH2CH(0-)CH3 + 02 --»• CH3CH2C(0)CH3 + H02    k = 1.43 ppm^min"1     ,   (35)

                     °?                                        i
      CH3CH2CH2CH20- -4 HOCH2CH2CH2CH202       k = 2 x 106 min"'     ,     (36)

CH3CH2CH2CH20- + 02  -> CH3CH2CH2CHO + H02     k = 3.3 ppm^min"1     ,    (37)

   CH3CH2CH20- + 02  -»• CH3CH2CHO + H02        k = 3.3 ppm^min"1     ,    (38)

      CH3CH20- + 02  -* CH3CHO + H02           k = 3.3 ppm^min"1     ,    (39)
         CH30- + 02  — » HCHO + H02             k = 1.2 ppmmin"     .    (40)

The rate constants given above are somewhat different from those recommended
by Barker et al.  (1977), as shown by the following tabulation:
Reaction
34
35
36
37
38

39
40
Recommended rate constant
by Barker et al. (1977)
2.9 x 105 min"
0.32 ppm" min'1
3.7 x 107 min"1
6.2 x 10" ppm" min"
6.2 x 10"1 ppm" min"
-l -1 -1
6.2 x 10 ppm min
9.5 x 10"1 ppm" min"1
Uncertainty
factor
8
16
60
16
16

16
16
Factor used in
current mechanism
1/3
4.5
1/18.5
5.3
5.3

5.3
1.3








The values we have used resulted in simulations consistent with UCR measure-
ments of methylethylketone, n-butyraldehyde and various nitrates.

     The chemistry of the alkoxyl radicals plays an important role in hydro-
carbon oxidation in the propylene and butane mechanisms.   Besides  decomposi-
tion and reaction with molecular oxygen, alkoxyl radicals may react with
NO and N0£ to form alkyl nitrites and alkyl nitrates,  which are temporary
and permanent sinks of alkoxyl radicals.  In simulations  of propylene and
butane smog chamber experiments, alkyl  nitrates are a  minor sink of NO .
                                    77

-------
     The reactions of RO- with NO and NOo in our mechanisms discussed by
Whitten and Hogo (1977) have not been changed.

     Rate constants for the propylene + HO* and butane + HO*  reactions--
In their review of previous studies of the reactions of alkanes and alkenes
with hydroxyl radicals (OH-), Lloyd et al. (1976) reported average values
of the rate constants for the propylene + OH- and butane + OH* reactions
based on previous studies.  For the propylene + OH- rate constant, the
reported value was 4.2 x 10  ppnf min~ , close to that used by Whitten and
Hogo (1977).  For the butane + OH- rate constant, the reported value was
        3    -1   -1
4.2 x 10  ppm  min  , approximately 25 percent higher than the value used
by Whitten and Hogo (1977).  We incorporated these average values into our
explicit mechanisms instead of choosing a rate constant measured in any one
study.

     Reactions of alkylperoxy radicals with NO and NO^—In all modern kinetic
mechanisms for smog formation, the reactions of alkylperoxy radicals (ROp
with NO are the major cause of conversion of NO to N02, which is required
to form ozone.  Since Howard and Evenson (1977) recently measured a high
value for the rate constant of the HOA + NO reaction, we raised the rate
constants of all ROo + NO reactions in our mechanisms to be equal to the
measured value.  The overall effect of this change has been to shorten the
induction period for ozone formation.

     Besides the R0| + NO reactions, R0£ may react with N02 to form an
alkylperoxy nitrate.  This reaction is analogous to the reaction of H02
and N02 to produce peroxynitric acid (H02N02 or PNA).  Recent estimates of
PNA formation and destruction rates are high, suggesting that this species
is in a steady state  (see Section 4 for further discussion).  Barker and
Golden (1977) reported that the rates of formation and destruction of alkyl-
peroxy nitrates should be comparable to the formation and  destruction rates
of PNA.  Consequently, neither PNA nor alkylperoxy nitrates are included
in the kinetic mechanisms.
                                    78

-------
     However, pathways to alky!nitrate formation from the R02 + NO reactions
have been added to our mechanisms as for alkyl groups larger than methyl
(Darnell et al., 1976a).  The UCR data show that the formation of larger
nitrates does not depend strongly on the HC/NOV ratio as one would pre-
                                              A
diet from the RO- + N02 pathway.  But the R02  + MO pathway tends to be
independent of the HC/NOX ratio because the concentration of R0£  is regul-
lated by the NO concentration since the major reaction of ROi is with NO.
The RO- radicals usually react unimolecularly or with 02 rather than with
N0p.  Darnell et al.(1976a) reported that only C. and larger groups form
significant amounts of alkyl nitrates via the R0£ + NO reaction.  Cp and
C3 groups may form alkyl nitrates via the RO; + NO reaction, but we assumed
that alkyl nitrates account for less than 1 percent of products of R0~ + NO
reactions.  Either pathway to nitrate formation can be an important sink
for both radicals and NO ; thus, simulations consistent with the observed
                        /\
nitrate data are necessary for mechanism development.

     Sinks of alkylperoxy radicals—A major sink of alkylperoxy radicals
may be their reaction with hydroperoxy radicals to form organic peroxides:

                       R02 + H02 + ROOM + 02     .                    (41}

The rate constant for Reaction (41) was formerly based on the rate constant
of 4 x 103 ppm  min   for the H0£ + HO,? reaction and the ratios of the
rate constants for various HQ2 reactions recommended by Hampson and Garvin
(1978).  Using the same ratios of rate constants with Howard and Evenson's
(1977) measurement of the HOx + NO rate constant, we have estimated values
of 1.5 x 104 ppm^min"1 and 4.0 x 103 ppm'^min"1 for H02 + HO^ and R02 +
H02, respectively.   These values are used in the mechanisms at present, but
they are tentative and may be changed in light of new measurements.

Simulation Results for Propy1ene/NO  Systems
                                   /\ • ~~    •• —.— n -

     Much of the work on the propylene mechanism was performed with early
UCR runs and was discussed by Whitten and Hogo (1977).  However, updating
the rate constants in the kinetic mechanism (as discussed above) produced

-------
      TABLE  9.    REACTIONS  OF PROPYLENE*
              Reaction
CH3CH-CH2 + 0
             20,
           0 - CHjCH

CHjCH - CH2 -  CH3CH2CHO
CH3CH«CH2 t OH-  —* CH3CH(02)CHjOH
CH3CH-CH2 + N03 -> N02 + Products
CH3CH=CH2 + 03 - HCHO + CHjCHOj
               CH3CHO
       HCHO
                ^
CH202 + CHjCHO * H2C
      + NO * N02 + HCHO
CH202 + H02 * N03 * HCHO
      * CO + H2 + 02
2*C02*H2

j - 2HOJ + C02

£ •* HC(0)OH



HO; + HCHO - CH.
CH3CHO^ + CH3CHO * CH3CH     ]CHCH3


CHjCHO^ + NO - N02 + CH3CHO

CHjCHOj + M02 » HOj + CHjCHO
                                              Rate constant
                                              (ppnT m1n" )
                                                           ,-3
                                                           -3
2.7 x 10-"


2.7 x 103


3 x TO"1


4.2 x 104

7.82

7.5 x 10'

7.5 x 10


2  x  103



2  x  103


1.2  x 10*

8  x  103

6.7  x 102

1.8  x 102

9  x  10U
                                                          It
                                                    6 x 10
                                                    2 x  103
                                                2 x
                                                1.2  x 10
                                                8 x 10J
                                                     (continued)
                              80

-------
                         TABLE  9  (Concluded)
                 Reaction
                                                                         (Ute constant
                                                                         (ppm'W1)
                                                                          1.5 x 10'
CHjCHOj  —•  CH302 » CO + OH-
        202
CH3CH02
        °2
CHjCHOj1 — •  CHjO- +  CO  + H02
                                                                          3.4 x 102t
                                                                          4.25 x 102t
                                                                          8.5 x 10'
CHjCHjCHO » h«
                          j + HOj + CO
Experimental
CH,
          > OH-  — CH3CH2C(0)02 + H.O
                                                                          2.4  x  10H
CM3CH2C(0)02 + NO -» N02 +
                                   + CO
CH CH(02)CH2OH + NO -* N02 + CH3CH(0-)CH2OH
                                                                          3,8 x 10J
                                                                          1.2  x  10*
                                                                          1.2  x 10H
CH3CH2°2 + N0
                                                                          1  x  10'
CH3CH(0-)CH2OH -Z-* CHjCHO + HCHO
              - CHjCHO + HOj
CH3CH2C(0)02 + HOj ->• CH3CH2C(0)02H
CH3CH(02)CH2OH + HO- -.
       2 + HOj
                                                                          3  x  105t

                                                                          3.3

                                                                          4  x  103

                                                                          4  x  103

                                                                          4  x  103

                                                                          2  x  103

                                                                          2.8  x  10

                                                                          1.5  x  104
                                                                                  -Ztl
 CH CH20- t N02 ~ CHjCHO
 CH3CH(02)CH2OH + CH3CH(OpCH2OH -> CH.jCH(0-)CH2OH

 CH3CH(02)CH2OH + 03 - CH.jCH(0-)CH2OH  * 202
 * The Inorganic, formaldehyde,  and acetaldehyde reactions listed
  earlier must be added to construct  the explicit propylene mechanise.
 t Rate constant In nln" .
 i Activation energy 1s 1Z.500K; rate constant U given at 298K.
                                                                          2.9 x 10
                                                                          5.0 x 10
                                                                          2 x 10
                                     81

-------
simulation results different from those documented  by Whitten  and Hogo
(1977).  The current explicit propylene mechanism is presented in Table 9.
A factorial block of initial concentrations  for the propylene/NO  experi-
                                                               A
ments at UCR is shown in Figure 16.   The initial  conditions  for each
propylene experiment are presented in Table  10, and the  simulation  results
are shown in Figures 17 through 32 for the most recent series  of propylene
experiments (EC-256, EC-257, EC-276, EC-277, EC-278, and EC-279); all of  the
simulations are shown in the appendix.  Table 11  presents some quantitative
information on the agreement between the simulated  NCL and CL  results and
the UCR data.
1.0

E
Q.
a.
z

0.1
__


13
" 2526 ^
257 121
- x!7 xll
277
1 1



56
59
177
216
217
230
276
x16
X60
279


x5
278

x!8
1
                         0.1          0.5
                               PROPYLENE, ppm
1.0
 Figure 16.  Factorial block of initial concentrations in UCR propylene/NO
             experiments.  Numbers correspond to UCR run numbers.
                                     82

-------
     The current propylene mechanism produced simulations of ozone concen-
trations as close to observational data as did the propylene mechanism of
Whitten and Hogo (1977).  Excluding EC-55 and EC-56, the average difference
in simulated and observed ozone one-hour maxima was 3.8 percent in their
study.  In the present mechanism, the inorganic, formaldehyde, and acetalde-
hyde chemistry used agrees with recently published information, and the
formaldehyde and acetaldehyde mechanisms also give reasonable simulations
of independent smog chamber experiments without propylene.  Unpublished
simulations using the old Whitten and Hogo (1977) aldehyde chemistry tend
to underpredict ozone generation compared with the smog chamber experiments
using the aldehydes.  Likewise, a mere updating of their old mechanism
produces simulated ozone concentrations grossly exceeding the observed
values.  Hence, although the present propylene mechanism may not produce
simulations as close to observations as did the earlier Whitten and Hogo
(1977) mechanism, the new mechanism should have fewer errors.

Simulation Resultsfor the Butane/N0w Systems
    ~"'" ---~   '—   - "'*-~•'-** "•"  ~" - T— "• iv":- "•-"''•' -	"• ~ ~' - *"•*•*~~X

     The reactions which are special to the butane system are listed in
Table 12.  Figure 33 illustrates the factorial block of concentrations used
in the smog chamber experiments.  The initial conditions and photolysis
constants used in the butane simulations are listed in Table 13, and the
simulation results for NC^ and 0^ are presented in Table 14.  Sample simula-
tion results are shown for EC-162 and EC-178 in Figures 34 and 35.

     The following general observations about the modeling of the butane
experiments can be made:

      >  PAN formation stems  from the photolysis of MEK as the
         major peroxyacetyl  radical  source rather than the hydroxyl
         radical  attack on acetaldehyde.
                                    83

-------
TABLE 10.  INITIAL CONDITIONS AND PHOTOLYSIS RATE CONSTANTS FOR THE
           PROPYLEN:/NOX SMOG CHAMBER EXPERIMENTS
Run
number
EC-5
EC-11
EC-13
EC-16
EC-17
EC-18
EC-21
EC-5127
EC-55
EC-56
EC-59
EC-60
EC-95
EC-96
EC-121
EC-177
EC-216
EC-2l"7 s
EC-230
EC-256**
EC-257
EC- 276
EC-277
EC-278
EC-279
Initial
Propylene
0.97
0.447
0.48
1.036
0.103
0.972
0.104
0.5
0.545
0.531
0.52
1.082
0.48
0.48
0.483
0.45
0.46
0.085
0.546
0.109
0.112
0.510
0.564
1.016
1.10
* Rate constant 1n
t The relationship
t 0.146
** 0.371
concentration (ppm)
no
0.551
0.115
0.45
1.122
0.106
0.106
0.558
0.53
0.48
0.311
0.124
1.105
0.365
0.349
0.41
0.364
0.412
0.21
0.392
0.52
0.53
0.41
0.098
0.366
0.73
mm-1.
between
ppm of acetaldehyde
ppm of formaldehyde
N02
0.047
0.02
0.14
0.156
0.014
0.014
0.066
0.06
0.121
0.283
0.46
0.145
0.092
0.09
O.IOt
0.099
0.104
0.238
0.128
0.042
0.032
0.106
0.010
0.128
C.244

HONO
0.005
0.001
0.025
0.02
0.005
0.0001
0.015
0.01
0.02
0.03
0.020
0.018
0.015
0.010
0.03
0.008
0.007
0.005
0.008
0.009
0.008
0.003
0.001
0.006
0.005

FORH*Products
added.
added.


Photolysis
rate constant (x 104 mln"' )
WyNO+0* 03-4>( D) 03-4( P) HON0.NO+OH. H202-20l
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
223
223
223
223
223
223
223
213
209
208
204
0.204
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.

351
351
3
33
43
43
3
3
3
35
35
35
35

and carbonyl




10
10
10
10
10
10
10
12.8
12.8
12.8
1.22
1.22
27
27
39
14
35.3
35.3 .
13.0
6.9
6.9
9.9
9.9
9.9
9.9

photolysis


78.1
78,1
78.1
78.1
78.1
78.1
78.1
70
70
70
58.1
58.1
270
270
300
105
135
135
92
90
90
108
108
108
108

rate


620
620
620
620
620
620
620
600
600
600
600
600
920
920
700
608
1280
1280
870
830
830
1000
1000
1000
1000

constants


5.0
5.0
5.0
5.0
5.0
5.0
5.0
4.0
4.0
4.0
2.5
2.5
5.5
5.5
4.0
5.0
6.0
6.0
4.0
3.6
3.6
5.0
5.0
5.0
5.0

1s discussed


'*' FORtVProductsf
18
18
18
18
18
18
18
10
9
9
9
7
18
15
18
15
11
7
9
6
6
11
11
11
11

In Section 4.


                               84

-------
§_  0.009
Q.
    0.006
<->   0.003
    TJ.OOO
                I   	L
                                                      x   x
        J	I	I	L
               50     100
150     200     250

TIME, minutes


   (a)  0,
300    350    400
     0.60
     0.45
     0.30
     0.15
     0.00
                                                            I	I
      *""0      50     100     150     200     250    300    350     400

                              TIME,  minutes

                             (b)   N02 and NO

  Figure 17.   Simulation  results of a UCR propylene experiment  (EC-256)
               for 03, N02, and NO
                                   85

-------
o

5
u
      o.i2r
      0.09
      0.06
0.03
      0.00
                J	l   ^   I	L
                                       _L
          50      100     150     200     250    300    350


                         TIME, minutes



                    (a)  Formaldehyde and propylene
-Li	I
                                                                  400
    0.0012
    0.0009
    0.0006
o
•z.

8  0.0003
    0.0000 •
                                                X   X    K   X
                                       I	l	I	I
  Figure-18.
           50     100     150     200    250    300    350    400


                         TIME,  minutes


                           (b)   PAN


         Simulation results  of  a UCR propylene experiment (EC-256)

         for formaldehyde, propylene, and PAN
                                         86

-------
     0.060r
     0.045
n.
a.
S    0.030
t—
O
O
     0.015
     0.000
                                                        *    x
                              j	 i    	i
         0      50     100     150    200    250    300    350    400


                              TIME,  minutes
    o.oooer
    0.0006
    0.0004
O
z
g  0.0002
    0.0000
                             (a)   Acetaldehyde
                               K   K
         *   X
                                               X   X
                                             I   	I	I
                                                   300    350     400
0      50      100     150     200     250


                   TIME, minutes


                 (b)   Propionaldehyde
 Figure 19.  Simulation  results of a UCR propylene experiment (EC-256)
             for acetaldehyde and propionaldehyde
                                    87

-------
    o.oer
    o.oeh
h-   0.04h
o

§   0.02
     0.00
                                    200    250    300    350    400
                              TIME, minutes
                                 (a)  0,
 Q.
 Q.
 O
     o.eop
     0.45
     0.30
      0.15
      0.00
                        I	1
j
                                                           I _ I
                50     100
300    350    400
                         150    200    250

                          TIME, minutes


                           (b)  N02 and NO


Figure 20.  Simulation  results of a UCR propylene experiment  (EC-257)
            for 03,  N02,  and NO
                                   88

-------
    0.12r
    0.09
    0.06
8  0.03
    0.00
                                                          i     	I
0      50      100     150     200     250    300    350

                     TIME, minutes


                     (a)  Propylene
                                                                400
    0.40
    0.30
    0.20
8   0.10
    0.00
                                                         J	I
0      50      100
                                                 300    350     400
                     }50     200     250

                     TIME, minutes

                    (b)   Formaldehyde
   Figure 21.   Simulation results of a UCR  propylene experiment  (EC-257)
                for propylene and formaldehyde
                                    89

-------
 0.008
 0.006
 0.004
 0.002
 0.000*
 0.045
  0.030
  0.015
  0.000
                                                 K   *   X
                           X   *
              X    X
                                  200     250     300     350    400
                          TIME,  minutes
                              (a)   PAN
                       *   *   *   *   x
                                            K    X   *
       E	I	I	  I
                                                300    350    400
50     100     150     200     250

              TIME, minutes

            (b)   Acetaldehyde
Figure 22.  Simulation results of a UCR propylene experiment (EC-257)
            for  PAN  and acetaldehyde
                               90

-------
 0.52r
 0.00
                  100     150    200    250


                        TIME, minutes


                     (a)  N02, NO, and 03
300    350    400
 0.56r
     f
 0.00
                               200    250    300    350    400
                        TIME, minutes


                (b)  Formaldehyde  and  propylene



Figure 23.  Simulation results of  a UCR  propylene experiment (EC-276)

            for Oo» N02, NO, formaldehyde,  and propylene
                                   91

-------
o
o
     0.24p
     0.18 -
     0.12 -
0.06 -
     0.00.
               SO
                      100    1^0    200    250     300     350     400



                             TIME, minutes



                        (a)   Acetaldehyde and PAN
    0.004r
    0.003 -
    0.002 -
 o

 o  0.001
 o
    0.000.     ^^ 	
         0     50     100    150    200    250     300     350     400


                             TIME, minutes



              (b)  Methyl  nitrate and propionaldehyde




    Figure 24.   Simulation results of a UCR propylene  experiment (EC-276)

                 for  acetaldehyde, PAN, methyl  nitrate, and propionaldehyde
                                 92

-------
 Q.
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    o.4or
    0.30
     0.20
o

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     0.00,
                         K * « X
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                             150    200     250

                             TIME, minutes


                                 (a)   0,
                                                          j	I
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                                         fT+T  + + + 4-
Q.
Q.
CtL
LU
O

O   0.025
               50     100    150    200     250     300     350    400


                             TIME,  minutes

                             (b)   N02  and NO


   Figure 25.   Simulation results  of a UCR propylene experiment  (EC-277)
                for 03, N02, and  NO
                                93

-------
   0.56 r:
   0.00
                                  ZOO     250     300     350     400
                           TIME, minutes
                 (a)  Formaldehyde and propylene
LU

   0.28r
   0.21 -
   0.14 -
   0.07
    0.00
50     100
                           150    200    250

                            TIME, minutes

                       (b)   Acetaldehyde and PAN
300    350    400
   Figure  26.   Simulation results from a UCR propylene  experiment (EC-277)
                for formaldehyde, propylene, acetaldehyde,  and PAN

                                      94

-------
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   0.0024r
   0.0018
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                                    400
                               TIME,  minutes
    Figure  27.   Simulation results  of a UCR propylene  experiment (EC-277)
                 for propionaldehyde
                                   95

-------
    o.eor
    0.60 -
2  o.-io
    0.20 h
    O.tJO.
              50
100    ISO    200    250


       TIME, minutes



    (a)  N02, NO, and 03
300    350    400
    1.00
    0.75
    O.SO
    0.25
    0.00
               SO      100     150     200     250     300     350    400

                             TIME, minutes


                  (b)   Formaldehyde and propylene


    Figure  28.  Simulation results of a UCR propylene experiment  (EC-278)
                for N02, NO, 03, formaldehyde,  and propylene

-------
 O.BOr
 0.00
            50      100     150    200    250

                          TIME, minutes
                                 300
                     (a)  Acetaldehyde and PAN
350
400
 0.008r
 0.000
            50      100     150    200    250

                           TIME, minutes
                                 300
350
400
Figure 29.
 (b)  Methyl nitrate and propionaldehyde


Simulation results of a UCR propylene experiment (EC-278)
for acetaldehyde, PAN, methyl  nitrate, and propionaldehyde
                                   97

-------
    0.76
E   0.57
o.
Q.
    0.38
o

o
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    0.00
               50      100     150     200     250


                             TIME, minutes
                                300    350    400
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    1.20r-
         [
E=  0.90
Q.
0.
    0.60
    0.30
    O.OOf
        0      50      100     150     200     250    300    350    *00


                             TIME, minutes
     Figure 30.
 (b)  Formaldehyde  and propylene



Simulation results  of a UCR propylene experiment (EC-279)

for N02, NO, 0.,  formaldehyde, and propylene
                                       98

-------
    0.52r
    0.00
                     100    150    ZOO    250    300

                             TIME, minutes

                       (a)  Acetaldehyde and PAN
350    400
o
   0.020r
   0.015
   0.010
   0.005
   0.000{
                                    j	I
              50     100    150    200    250     300     350     400

                            TIME, minutes

                         (b)   Rropionaldehyde


   Figure  31.  Simulation results  of a UCR propylene experiment  (EC-279)
                for acetaldehyde, PAN, and propionaldehyde
                              99

-------
    o.ooeor
    0.0045 -
    0.0030 -
o   0.0015
    0.0000
                              150    200     250     300     350     400
                              TIME,  minutes
    Figure 32.  Simulation  results of a UCR propylene experiment  (EC-279)
                for methyl  nitrate
                                    100

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102

-------
           TABLE  12.   REACTIONS OF  BUTANE*


                                                     Rate constant

                    Reaction
                °2                                           i
CH3CH2CH2CHj + 0 — ' CH3CH2CH(02)CH3 + OH-               6.4 x  10





CH3CH2CH2CH3 + OH- — - CHjO^CHjO^Oj + H20              6.0 x  102




                  °2                                         ?
CH3CH2CH2CH3 + OH- — - CHjCH^HfOpCHj + H20             3.6 x  TO3




                      °2                                      i
HOCH2CH2CH2C(0)02 + NO -=-* N02 + HOCH^CH^ + C02     3.8 x  103




                   °2                                        ,
HOCH2CH2C(0)02 + NO -i- N0? + HOCH2CH202 + C02           3.8 x  103




                    °2                                       •,
CH3CH2CH2C(0)OJ + NO -» CH3CH2CH202 + NOj + C02          3.8 x  103
CH3CH2C(0)02 + NO -i CHjCH202 + N02 + C02                3.8  x 103




                     °2                                       A
HOCH2CH2CH2CH202 + NO —» N02 + H02 + HOCH2CH2CH2CHO     1.2  x 104





                     °2                                       a
CH3CH(02)C(0)CH3 + NO -=* N02 + H02 + CH3C(0)C(0)CH3    .1.2  x 10s




CH3CH2CH(02)CH3 + NO •» N02 + CHjCHjCHfO-)CH3             1.1  x 104




CH3CH2CH(OJ)CH3 + NO » CH3CH2CH(ON02)CH3                 1  x  103




CHjCH2CH2CH202 + NO - N02 + CH3CH2CH2CH20-               1.1  x 104




CH3CH2CH2CH20^ + NO -» CH3CH2CH2CH2ON02'                  1  x  103




                  °2                                         4
HOCH2CH2CH202 + NO —> N0? + HOj + HOCH2CH2CHO           1.2  x 10




               °2                                            4
HOCH2CH202 + NO —» N02 + H02 + HOCHjCHO                 1.2  x 10*




CH3CH2CH202 + NO -. N02 + CH3CH2CH20-                    i  n  _ ,n4
CH3CH2CH202 + NO * CH3CH2CH2ON02                        1  x  10



CH3CH202 + NO » N0? + CHjCH20-                          1.2  x 10*



CH3CH202 + NO •» CH3CH2ON02                              1  x  102




                                                    (continued)
                                103

-------
                 TABLE  12  (Continued)
                  Reaction
                                                       Rate constant
CH3CH2CH(0-)CH3 —• CH3CH202 + CHjCHO
                                                      1 x 10
                                                            5t
CH3CH2CH(0-)CH3 +
                - CH3CH2CHO
             - CHjCHO
CH3CH2CHO + hv
              202
                 202
                                   HOj
                                  CO
              hv
              hv -> CHjCHO
                  202
CH3CH2C(0)CH3 + hv —I CH3C(0)02 +


             202
HOCH2CHO + hv —*• HCHO +  2HOJ + CO
                                   0  +  CO
                20
HOCH2CH2CHO + hv
                           02 + H02 + CO
                                                      2 x 106t


                                                      1.43


                                                      3.3


                                                      3.3


                                                      3.3



                                                      Experimental1



                                                      Experimental1


                                                      Experimental1



                                                      Experimental
                                                       1 x 10
                                                            -3t
                                                       1  X  10
                                                            ,-3t
HOCH2CH2CH2CHO + hv —I HOCH2CH2CH202 + H02 + CO          Experimental1
                   202
CH3C(0)C(0)CH3 + hv —i 2CH3C(0)02                       2x10
                                                            -3
CH3CH2CH2CHO + OH
           OH- -^» CH3CH2C(0)02 + H?


                  °2
                                                       2.4 x
                                                       2.4  x
CH3CH2C(0)CH3 + OH- -» CH3CH(02)C(0)CH3 + H?0
                                                       4.9  x 10
HOCH2CH2CH2CHO  + OH- -i HOCH2CH2CH2C(0)Oj +

                 °2
HOCH2CH2CMO + OH- -. HOO<2O<2C(0)02 4- H?0
                                                       2.2 x  10
                                                       2.2 x  10*
                                                    (continued)
                                104

-------
                   TABLE  12  (Concluded)
                                                         Rate constant


_    Reaction _ (pcm  mln' )



               °?
•lOCHjCHO + OH-  — HCHO * HO^ + CO + H20




HOCH2CH2CH2C(0)02 + H02 - HOCHjCH^CtOJOjH + 02         4  x 10




HOCH2CH2C(0)02  + HOj  - HOCH2CH2C(0)02H + 02               4  x 103




CH3CH2CH2C(0)02 + HO' - CHjCH^CfOJOjH + 0?             4  x 103




CH3CH2C(0)0' +  HO' -  CH3CH2C(0)02H + 0?                   4  x 103




HOCH2CH2CH2CH202 + HOj - HOCH2CH2CH2CH202H + 0            4  x )03




CH3CH(0')C(0)CH3 + HO' * CH3CH(02H)C(0)CH3 + 02           «  x 103




CH3CH2CH(02)CH3 + HO' * CHjCHjCHfCHjJO^ + 0?             «  x 103




CH3CH2CH2CH202  + HO^  * CHjC^CHjCH^H + QZ               4  x 103




CH3CH2CH20- + HOj - CH3CH2CH202H + 02                     4  x 103




CH3CH2Ol + HOj  » CHjCH^H  + QZ                           4  x 103




CH3CH2CH2C(0)Oj + N02 * CH3CH2CH2C(0)02N02                2  x  )03




CH3CH2C(0)02 + N02 *  CH3CH2C(0)02N02                      2  x 103




                                                                 "2+
CH3CH2C(0)02N02 * N02 + CH.jCH2C(0)Oj                      2.8 x 10"




CH3CH2CH2C(0)02«>2 * N02 + CHjCHgCH C(0)0j                2.8 x 10"2tS





CH3CH20- + N02 * CH3CH2ON02                              1.5 x 104




CH3CH20- + N02 - CHjCHO + MONO                            2.9 x 103




CH3CH2CH20- + N0? H. CH3CH2CH2ON02                         1.5 x 104





CH3CH2CH20- + N02 * CHjCHjCHO + HONO                      2.9 x 103





CH3CH2CH2CH20- + N02 - CH3CH2CH2CH2ON02                   1.5 x 10*




CH3CH2CH2CH20- + N02 - CH3CH2CH2CHO +  HONO                2.9  x  103





CH3CH2CH(0-)CH3 + N02 - CH3CH2CH(ON02)CH3                 1.5 x 104




CH3CH2CH(0-)CH3 * N02 * CH3CH2C(0)CH3  + HONO             2.9 x 103
 * The Inorganic, formaldehyde, and acetaldehyde reactions listed earlier
  must be added to construct the explicit butane mechanism.

 t Rate constant In nin~ .

 l Activation energy Is 12.SOOK; rate  constant Is given at 298K.
                              105

-------
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  163
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                           x44
x41
              0.4         2.0
                        BUTANE,  ppm
                          4.0
Figure 33.  Factorial  block of initial concentrations in UCR butane/NO
            experiments.   Numbers correspond to UCR run numbers.
                               106

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    0.20
S  0.10
    0.00
                                                  300    350     400
          50     100     150     200     250


                        TIME,  minutes


                          (b)  NO  and N02



Figure 34.   Simulation results  of a UCR butane experiment  (EC-162)
                                   109

-------
Q.

 *l


O
I—1

<
a:
I—
•z.
UJ
o
o
      2.20 p
      2.00
      1.60
      1.60
      1.40
                50      100
                               ISO     200    250


                               TIME, minutes


                                (c)  Butane
300    350     400
     0.028
     0.021
     0.014
     0.000
                 50      100
                               150    200     250

                                TIME, minutes
300     350     400
                          (d)   Formaldehyde  and PAN
                           Figure 34  (Continued)
                                   110

-------
     0.100
     0.075
     0.050
o
<->   0.025
     0.000
                                                             I	I
                50      100     150    200    250


                               TIME,  minutes


                        (e)  MEK  and  acetaldehyde
300    350     400
    0.0028
    0.0021
    0.001*
UJ
<_>  0.0007
    0.0000
                50      100     150     200    250

                               TIME, minutes


                              (f)   Propionaldehyde
                                Figure 34   (Continued)
                                                             j	I
300    350     400
                                        111

-------
UJ
o
o
o
     O.OOlp
     0.003
     0.002
0.001
     0.000
                 50     100
                          150     200    250


                           TIME, minutes


             (g)   Butyraldehyde and n-butyl  nitrate
300    350    400
 Q.
     o.oooer
     0.0006
     0.0004
 LU

 O
     0.0002
     0.0000
                 50     100
                          150    200     250


                           TIME, minutes
300    350     400
                     (h)   Ethyl nitrate  and methyl nitrate
                              Figure  34  (Continued)
                                     112

-------
   o.ozor
E  o.ois
Q.
Q.
   0.010
o
•z.
o
    0.005
    0.000,
                         *
               50     100     150    200    250     300     350    400
                              TIME, minutes


                          (i)  Sec-butyl  nitrate




                          Figure 34   (Concluded)
                                    113

-------
   o.60r
    o.oo
                     MO    210
280    350    420



TIME, minutes



   (a)  0,
                                                       490     560
   o.ioor
   0.075 -
   0.050  -
O


g  0.025
   0 000
        0     70     140     210     280    350     420     490     560



                                   TIME, minutes



                                 (b)  N02 and NO





   Figure 35.  Simulation results of  a UCR  butane experiment (EC-178)




                                 114

-------
    2.00r
    1.20
                                    280     350    420    490    560
                                TIME, minutes
                                (c)   Butane
   o.ioo
o
   0.075
   0.050
   0.025
   0.000
                                    *  *
              IK  *
                      140     210
      280    350     420
     TIME, minutes
(d)  Acetaldehyde and PAN

 Figure 35   (Continued)
         115
490    560

-------
   0.028r
   0.021
   0.014
o
g
o  0.007
   0.000
                      140
210    280    350

    TIME,  minutes


 (e)   Formaldehyde
420    490     560
    0.09
     0.06
 8  .0.03
     0.00
               70     140    210     280     350

                                 TIME,  minutes


                                    (f)   MEK
                              Figure 35  (Continued)
                       420     490    560
                                     116

-------
 o.
 Q.
    0.00481-
    0.0036
    0.0024
    0.0012
     0.0000
                                                  *  K
                                                         4  +

                        140     210    280     350     420     490
0      70
                                                         560
                                  TIME, minutes


                      (g)   Ethyl nitrate  and propionaldehyde
    0.0048r
    0.0036h
    0.0024h
o:
 .

3   0.0012
                       140    210     280     350    420     490     560


                                  TIME, minutes



                         (h)  N-butyl  nitrate and butyraldehyde
                                 Figure 35  (Continued)
                                       117

-------
    o.ozor
    0.015
    0.010
                                                        X   *
LU
O
•z.

8   0.005
    o.ooo>->u-
70     140
                              210     280     350


                                TIME, minutes
420    490     560
                          (i)  Sec-butyl  nitrate
                           Figure 35   (Concluded)
                                     118

-------
     >  The main source of formaldehyde is the reaction of the
        peroxyacetyl radical with NO.
     >  The simulations are very sensitive to the assumed initial
        value of MONO.

1-BUTENE

     A mechanism was constructed for this olefin based on the present
propylene mechanism.  All of the rate constants used are identical  to the
corresponding rate constants in the propylene system except the one for the
hydroxyl radical reaction with 1-butene.  For this reaction, a rather wide
range of both absolute and relative values have been reported.  Pastrana
and Carr (1975) and Morris and Niki (1971b) reported rates that are two to
three times as high as the propylene + OH* rate constant, whereas  Davis
(1976) reported values for 1-butene and propylene in the ratio of  only 1.1.
We used a ratio of about 1.7 based on simulations using the four olefins
ethylene, propylene, 1-butene, and trans-2-butene.  The absolute value
               4    -1   -1
used was 7 x 10  ppm  min , which produced the best overall olefin  decay
for 1-butene in the presence of the other three.
     The explicit 1-butene mechanism is given in Table 15.  The initial condi-
tions used in the three UCR experiments using only 1-butene/NO  ratio are pre
                                                              J\
sented in Table 16.  The f^ and 03 results are summarized in Table 17, and
a sample simulation for EC-123 is shown in Figure 36.  As is the case with
PAN in other systems, the peroxypropionyl nitrate (PPN) results could be
brought closer to the observed values by using a lower ratio of reactions
rate constants for the competition for peroxy radicals NO and N02-   Unfor-
tunately, all of the UCR experiments did not reach a definite ozone maximum,
and so our present verification of the 1-butene mechanism is not .complete.

TRANS-2-BUTENE

     As mentioned earlier, trans-2-butene is the fastest reacting olefin
used thus far as a reactant in a UCR smog chamber.  We constructed an
explicit mechanism for trans-2-butene based on the propylene mechanism.
Various reactions in the explicit trans-2-butene mechanism are discussed
below.

                                      119

-------
         TABLE  15.   REACTIONS  OF 1-BUTENE*
                  Reaction
                                                     Rate constant
                202
CH3CH2CH=CH2 +0 —- I
CH3CH2CH=CH2
            + 0 •+ CH-CH.CH	CH
CH3CH2CH	CH2
CH3CH2CH=CH2 + OH-
CH3CH2CH=CH2 + N03 ->• N02 + Stable Products






CH3CH?CH=CH2 + 03 -. CH3CH2CHO




CH.Oi + HCHO -
CH202 + CHjCHO * H2
CH202 + NO •» N02 + HCHO
   0^ +  N02 -* N03 + HCHO
   O  -» CO
   0  -* C0
      •» HC(0)OH
CHjCHjCHO^ + HCHO - CH3CH?CH      CH2
f u ru run * * ru fun •* ru ru f* u      xi
Un^LnnLnUo * Wl^WIU   Wl^UlrtUn      I

  3223       3  2^o^


CHjCH2CH02 + NO •* N02 + CHjCH2CHO
2.7 f.  10J




2.7 x  103




5 K 10"2



7 x 104


1.2 x  101


7.5 x  10


7.5 x  10




2 x 103





2 x 103



1.2 x  104


8 x 103


6.7 x  102


1.8 x  102


9 x 10lf


6 x 10




2 x 103





2 x 103



1.2 x  104
                                                            -3
                                                            -3
                                                     8 x
                                                         103
                                                    (continued)
                               120

-------
                     TABLE  15  (Continued)
                     Reaction
                                                       Rate constant
                                                       (ppm'W1)
CH.,CH2CH02 * C02
CH3CH2CH02 -» CH3CH202 + CO + OH-


          202
                                                       1.5  x  10'
                                                              ,2t
                                                       3.4  x  10'
                                                              ,2t
                                                       4.25 x 10'
                                                               ,2+
CH3CH2CHO^ -* CH3CH20- + CO + HO^
CH3CH2CH2C(0)0| + NO


                 02
CH3CH2C(0}02 + NO -»
                     °2
                   NO ->
         0 + NO •*
         0^ + NO * CH3CH2CH2ON02
           NO •*
CH3CH202 + NO * CH3CH2ON02
                 02
CH3CH2CH(0-)CH2OH -»
                                   + N0? +
                               HCHO
                * CH3CH2CHO + HOj
             * CH3CHO + HOj
              202
CH3CH2CHO +  hv —> CH3CH202  + HOj + CO
CH3CH2CH2CHO + hv
                 20
                                           N0
                                + HO  + CO
8.5 x 10U



3.8 x 103



3.3 x 103


1.2 x 10*


1.2 x 10*


1 x 102


1.2 x 104


1 x 102



3 x 105+


3.3


3.3



Experimental'*'



Experiment* lf
CH3CH2CHO + OH- -»
CH3CH2CHZCHO + OH-
                  02
CH3CH2CH2C(0)02 + HOj -• CHjCH^H C(0)OOH


CH3CH2C(0)02 + HOj -> CHjCH2C(0)OOH + 0?


CH3CH2CH202 + H02 -. CH3CH2CH2OOH + 0?
                                                      2.4 x 10
                                                      2.4 x 10
                                                      4 x 10
                                                      4 x 10
                                                      4 x 10
                                                       (continued)
                              121

-------
                      TABLE  15  (Concluded)
                                                        Rate constant
                     Reaction _ (ppm min  )
                                                             3
CH3CH202 +  H02 - CH3CH2OOH + 02                           4 x 10

CH3CH2CH2C(0)02 + N02 -> CH3CH2CH2C(0)02NOZ                2 x 103
            + N02 -> CH3CH2C(0)02N02                      2 x 103

CH3CH2C(0)02N02 * CH3CH2C(0)0^  + N02                      2.8 x  10~2tS
CH3CH2CH2C(0)02N02 •+ CHjCHjC

CH3CH2CH(02)CH2OH + Oj * CH3CH2CH(0-)CH2OH + 20?          2 x }0'

CH3CH20-  + N02 •* CH3CH2ON02                              1.5 x  104

CH3CH20-  + N02 ->• CH3CHO + MONO                           2.9 x  103

                                                                4


CH3CH2CH20- + N0? -» CH3CH2CHO + MONO                      2.9 x  Id3

* The inorganic, formaldehyde, and  acetaldehyde reactions listed earlier
  must be added to construct the explicit 1-butene mechanism.
t Rate constant in min" .
S Activation energy is 12.500K; rate  constant  is given at 298K.
                                122

-------









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Q.
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    0.30
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              .60     120    180    240    300    360    420    480


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               60      120     180    240    300     360     420     480


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     Figure 36.  Simulation results of a UCR 1-butene  experiment (EC-123)
                                   124

-------
   o.ioor
E  0.075
Q.
CL
    o.oso
LU
 .

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    0.000
               60     120
      180     240     300


          TIME, minutes


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360    420     480
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o

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   0.0000
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                           X   X   X      S
                      120
      180     240     300    360


            TIME, minutes


(d)  Ethyl  nitrate and butyraldehyde



          Figure 36   (Concluded)
                                                          420    480
                                         125

-------
Trans-2-Butene + 0(3P) Reaction
                                                                    -1 .  -1
     Japar and Niki (1975) reported a rate constant of 2.7 x 10  ppm  min
                           o
for the trans-2-butene + 0( P) reaction--almost five times greater than the
propylene + 0( P) rate constant.   They proposed that the products of the
reaction are acetylperoxy radicals and ethylperoxy radicals:

                            3   202
            CH3CH=CHCH3 + 0(JP) -4 CH3CH202 + CH3C(0)02     '        ^42)

Trans-2-Butene + OH- Reaction

     Wu, Japar, and Niki (1976) found that the reaction of trans-2-butene
with OH- is 1.3 times faster than the reaction of cis-2-butene with OH',
whereas Morris and Niki (1971b) reported a relative rate of 1.2.  With a
relative rate of 1.3 and the rate constant for cis-2-butene + OH- reaction
estimated by Lloyd et al. (1976), we estimated the rate constant for the
trans-2-butene + OH- reaction to be 1.2 x 10  ppm" min~ .

     The product of this reaction is a hydroxyalkylperoxy radical, analogous
with the propylene + OH- reaction:

                               °2
             CH2CH=CHCH3 + OH- -4 CH3CH(OH)CH(02)CH3     ,           (43)

       CH3CH(OH)CH(02)CH3 + NO ->• CH3CH(OH)CH(0- )CH3 + N02      ,     (44)

                               °9
             CH3CH(OH)CH(0-)CH3 -4 CH3CHO  +  CH3CH(OH)0^     ,         (45)

                    CH3CH(OH)02 -+ CH3CHO  +  H02     .                 (46)

  Trans-2-Butene + 0^ Reaction

       The rate constant of the trans-2-butene + 03 reaction is 20 times
  larger than that of the propylene + 03 reaction.   Japar, Wu,  and Niki (1974)
                                    126

-------
reported a rate constant of 0.39 ppnf^min   for the trans-2-butene + 03
reaction.  Reaction pathways have been assumed to occur analogous with the
propylene-03 reaction.  For trans-2-butene, we used the following reactions
               CH3CH=CHCH3 + 03 -»• CH3CHO + CH3CHO£     .              (47)

The Criegee intermediate (CH-jCHO^) reacts in the same manner as discussed
in the section on the propylene-03 reaction.

Trans-2-Butene + NO^ Reaction

     The rate constant for the reaction of trans-2-butene  with nitrate radicals
was measured by Japar and Niki (1975) to be 207 ppm" min"1.   Trans-2-butene is
the first olefin studied at UCR that has a high rate constant for reaction with
N03> but its reaction with N03 is insignificant because it has typically all
reacted with OH- before a significant concentration of NO; appears.

Simulation  Results  for  the Trans-2-Butene/NO  Systems
                                            ^

     Only three trans-2-butene/NOx experiments were performed at UCR.
Table  18 lists the  reactions  in the explicit trans-2-butene mechanism, and
Table  19 shows the  initial conditions and photolysis rate constants used
in  the simulation of each experiment.  The percentage differences between
measured and simulated  maximum one-hour-averages N02 and 03 concentrations
for each experiment are shown in Table 20.  Figure 37 shows the results of
the computer simulations for  EC-146.

2,3-DIMETHYLBUTANE

     Besides n-butane,  the only alkane investigated at UCR was 2,3-
di methyl butane.  Reported rate constants for oxidation of 2,3-dimethylbutane
by 0 atoms  and OH radicals are approximately 2.5 to 3 times faster than
the corresponding rate  constants for n-butane.  According to some reactivity
scales, this alkane should therefore have a much higher reactivity than
                                   127

-------
     TABLE  18.   REACTIONS OF  TRANS-2-BUTENE*
                   Reaction
                                                    Rate constant

                                                    (ppnT mln  )
              20,
CHjCH-CHCHj + 0 — •• CH3CHzOj t CHjC(0)0^
                                                    1.4 x  10H
CH3CH=CHCH3 + 0 ~ CH3CH

                                                    1.4 x  10
  CH -
CH3CH - CHCHj - CH3CH2C(0)CH3
                                                    5 x 10"
CH3CH-CHCH3 + OH. -»
                                                    1.2 x 10
CH3CH=CHCH3 + 03 •» CHjCHO
                                                    3.9 x 10
                                                           ,-1
CH3CHO^ + HCHO -> CH
              -> CH3QH      CM
2 x 10
     O^ + CH3CHO * CH3CH
                                                    2 x 10
 CH3CHOj + NO * N02 + CH3CHO
CH3CH02 + N02
                     CHjCHO
       + C02 * CH4
1.2 x  10'




8 x 103



1.5 x 10*
       °2
CH3CHOj -> CH3Oj + CO + OH-
                                                    3.4 x  102t
        20?

 CH3CH02 —* CHjOj + C02 + HOJ
                                                    4.25 x 10'
CH3CH02 -> CH30- + CO + H02
                                                     8.5 x 10'
 CHjCH-CHCHj + NOj •» N02 + Stable Products
                                                     2.07 x 10
 CH3C(02)C(0)CH3 + NO - N02 t CH3C(0)C(0)CH3 + H02         1.2 x 10*
CH3CH(02)CH(OH)CH3 + NO - N02 + CHjCHfO- )CH(OH)CH3
CH3CH;02 «• NO * N02 + CHjCHjO-
CH3CH202 + NO * CH3CH2ON02
CHjCH(0-)CH(OH)CH3 - ZCHjCHO « HOj
CMjCH^Q. + Oj » CMjCHO » HOj
1.2 x 10s
1.2 x 104
1 x 102
3 x 105*
3.3
                                                  (continued)
                           128

-------
                   TABLE  18  (Concluded)
                   Reaction
                                                        Rate constant
CH3CH2C(0)CHj  + hv
                  202
CH3C(0)C(0)CH3 + hv — * 2CH3C(0)02



CH3C(0)CH2CH3 + OH- •* CH3C(0)CH(02)CH3  + H20



CH3C(0)CH(02)CH3 + H02 * CH3C(0)CH(02H)CH3 + DZ



CH3CH(OH)CH(02)CH3 + H02 •» CH3CH(OH)CH(02H)CHj  +
CH3CH202 + H02 * CH3CH202H +
2CH3CH(OH)CH(02)CH3 * 2CH3CH(OH)CH(0- )CH3



CHjCHjOJ + N02 * CH3CH2ON02
                CH3CHO + HONO
CH3CH(OH)CH(02)CH3 + 0$ - CH3CH(OH)CH(0-)CH3
Experimental



1 x 10"3*


4.9.x 103


4 x 103


4 x 103


4 x 103


5 x 102


1.5 x 10*


?.9 x 103


2 x 10Z
* The inorganic, formaldehyde,  and ace tal deny de reactions listed earlier
  must be added to construct the explicit trans-2-butene mechanism.

t Rate constant in min" .
                               129

-------




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-------
i.
Q.
o

   0.00
       0      50      100     150     200     250     300     350     400
                               TIME, minutes

                           (a)  N02, NO, and
Q.
Q.
   0.36
   0.27
    0.18
o

§ 0.09
   0.00
                                                         I	I
       0      50      100     150     200     250     300     350     400


                               TIME, minutes

                   (b)  Trans-2-butene  and acetaldehyde

   Figure  37.   Simulation results of a UCR trans-2-butene experiment  (EC-146)
                               131

-------
o
2
O
     o.ioop
     0.075
     0.050
     0.025
     0.000.
                               j	I
                 50     100     150    200    250     300


                                    TIME,  minutes


                              (c)  PAN  and formaldehyde
                         350     400
    0.0032r
 o.

 A


 O
O
    0.0024
    0.0016
    O.OOOB
    0.0000.
                                                          x   *
                 50     100     150
   200     250     300


   TIME, minutes


 (d)  Methyl nitrate



Figure 37   (Concluded)
350    400
                                         132

-------
n-butane (Darnall et al., 1976b).  However, the UCR data show that on a
per-molecule basis, 2, 3-di methyl butane produces approximately the same
amount of ozone as does n-butane after a five-hour period.  (For example,
compare UCR Runs EC-165 and EC-178.)  On a per-carbon-atom basis, this
implies that 2, 3-di methyl butane has a lower reactivity than n-butane.  The
reasons for this lower reactivity for 2,3-dimethylbutane may stem from the
same tertiary carbon atoms that suggest the high reactivity.

2.3-Dimethylbutane + 0(3P) Reaction

     This reaction has been studied by Herron and Huie (1974), who reported
a rate constant of 337 ppm" min~ .   The products of this reaction are postu
lated to be:
    CH3CH(CH3)CH(CH3)CH3 + O^P) -4 CH3CH(CH3)CH(CH3)(0;>)CH3 + OH-     . (48)

2, 3- Pi methyl butane + OH- Reaction

     Using Greiner's (1970) formula for the rate constants of alkane + OH-
reactions,

     k = [1.46 exp(-820/T)Np + 3.35 exp(-430/T)N$ + 3.05 exp(95/T)NT]
         x 10  ppnf min~ ,                                               (49)

we can estimate the rate constant for the 2,3-dimethylbutane + OH- reaction.
Since there are 12 primary and 2 tertiary hydrogen atoms, the total rate
constant is 9.7 x 10  ppm" min~ , which is divided between reaction at a
                         3    -1   -1
rate constant of 8.5 x 10  ppm  min   at the tertiary hydrogens and 1.2
    3    -1   -1
x 10  ppm  min   at the primary hydrogens:
          CH,      H                 CH,       02
           ^    /..CH,       0,    ^    /™
             C-C--    J  +OH--A     .>-<:•••    3+H90     ,           (50)
          -X    \                \\"S    \        2
          CH       CH3               CH3      \H
                                   1331

-------
          CH      H                 CH-,      H
                 /.CH,        09    X.     /  ,CH~
                -c---    3   + OH«-£      jq-fr-'   3 + H2°     •
                 \                 *"
-------
               CH3CH(0-)CH3 + 02 -> CH3C(0)CH3 + H02     ,             (54)

              CH3CH(0-)CH3 + N02 + CH3CH(CH3)ON02     .                (55)

The primary alkylperoxy radical from Reaction (51) probably undergoes a
series of reactions as follows:
    CH3CH(CH3)CH(CH3)CH202 + NO -> CH3CH(CH3)CH(CH3)CH20-  + N02     ,   (56)

    CH3CH(CH3)CH(CH3)CH20- + 02 + CH3CH(CH3)CH(CH3)CHO + H02     ,    (57)


        CH3CH(CH3)CH(CH3)CH20- -> CH3CH(CH3)CH(CH3)02 + HCHO     ,    (58)

  CH3CH(CH3)CH(CH3)CH20- + N02 -^ CH3CH(CH3)CH(CH3)CH2ON02     ,       (59)

At this point, the differences from the chemistry in the n-butane explicit
mechanism become striking.  The fast reactions of primary alkoxyl radicals
(RO-) have been postulated to be hydrogen abstraction by molecular oxygen
to form aldehydes [(R-l)CHO] (Barker et al., 1977)  and internal  hydrogen
migration to form hydroxyalkylperoxy radicals [(R-2)CH(OH)CH202]  (Carter
et al., 1976).  The reaction of primary alkoxyl radicals  with N02 to  form
nitrates is apparently much slower than the above reactions.  For secondary
alkoxyl radicals, hydrogen abstraction by molecular oxygen is still  possible
(to form ketones), but internal hydrogen migration  would be suppressed unless
five- or six-membered ring intermediates are possible.  Whitten  and Hogo
(1977) included the unimolecular decomposition of secondary butoxyl  radicals
in the n-butane mechanism to account for the concentrations of acetaldehyde
observed in n-butane/NOx experiments at UCR.  However, Barker et  al .  (1977)
estimated that the unimolecular decomposition of secondary butoxyl radicals
is much slower than their reaction with molecular oxygen.

     The tertiary radicals formed from 2,3-dimethylbutane have no hydrogens
to react with molecular oxygen, and five- or six-membered ring intermediates
for internal hydrogen migration would be formed with difficulty.   Hence,
unimolecular decomposition and reaction with NOp to form nitrates seem to be

                                   135

-------
likely paths for reaction of the tertiary radicals in 2,3-dimethylbutane/
NO  systems.  The postulated slow reactivity of these tertiary alkoxyl
  A
radicals would lead to high steady-state concentrations, implying that the
RO- + N02 or R0£ + NO reactions to form the nitrate would be more impor-
tant in the 2,3-dimethylbutane/NOv system than in the n-butane/NOv system.
                                 A                               A

     Nitrate formation was indeed found to be more important in the
2,3-dimethylbutane experiments than in the n-butane experiments.  Compar-
ing the nitrate measurements in the .2,3-dimethylbutane experiments at UCR
with those  in the more recent n-butane experiments at UCR (EC-162, EC-163,
EC-168, and EC-178), we found that approximately 16 percent of the total
reacted hydrocarbon appeared as nitrates in the former experiments and only
8 to 9 percent in the latter.  Since nitrate formation is a radical sink,
the normal  peroxy-oxyl cyclic series of radical transfer reactions is more
limited when tertiary alkoxyl radicals are involved.  This limitation reduced
the number  of NO to N02 conversions and, hence, the amount of Oo formed per
carbon atom in the 2,3-dimethylbutane/NO¥ system relative to the n-butane/NOv
                                        A                                   A
system.

Alkoxyl Radical Decomposition Reactions

     Hendry et al. (1977) evaluated rate constants for the 2,3-dimethylbutoxyl
radical decomposition.  For the decomposition of tertiary dimethy!butoxyl
radicals, Hendry et al. assumed a rate constant of 3.8 x 10  min" :

            CH,      0-
             \     /--CHo    02
              :c—c-''       —^   CH.c(n)cH, + CH,CH(OA)CH^    .        (60)
          H"/     \                333^3
            CH3      CH3

     For the primary dimethylbutoxyl radical, decomposition was assumed to
                                3    -1
have a rate constant of 2.4 x 10  min  , and the isomerization of this
radical was assumed to be at least as fast as the internal isomerization  of
the n-butoxyl radical:
                                   136

-------
  CH3CH(CH3)CH(CH3)CH20-
H
/
H2C
CH
/
CH3
... o
\
CH9
/2
	 CH
\ '
CH3
                                           0
CH3CH(CH20£)CH(CH3)CH2OH
                                                                          (61)
These two peroxyl radicals [2,3-dimethyl-2-peroxy butyl  radical  from Reaction
(51) and l-peroxy-2,3-dimethyl-4-hydroxy butyl radical  from Reaction (61)]
can undergo a series of reactions.   For the latter, a series of reactions
similar to those in the explicit butane mechanism is possible.
     Hendry et al. (1977) estimated rate constants for isomerizations of
alkoxyl radicals and found for the primary 2,3-dimethylbutoxyl  radical an
isomerization rate of 3.7 x 10  min" .   The uncertainty in their estimates
of isomerization rate constants may be as high as  a factor of 60 (Barker
et al., 1977).  Initial simulations of 2,3-dimethylbutane/NOx systems with
this value and published values for alkoxyl radical decomposition rates,
reactions with molecular oxygen, and reactions with N02 produced organic
nitrate concentrations lower than the observations.  If the estimates of
Hendry et al. are accepted, we must look for other reactions that produce
(or will eventually lead to production of) nitrates in the alkane/NOx
chemistry.  Several groups have suggested the possibility of nitrate forma-
tion from reactions involving alkylperoxy radicals and NO or N02.  Darnall
et al. (1976a) postulated that alkoxyl  radicals (with four or more carbon
atoms) as discussed in the section on butane chemistry,  will add to NO to
form an excited complex:
                           + NO
                              * + [RON02]*
                       [RON02]* -> RO- + N02

                       [RON02]* % RON02
                         (62)

                         (63)

                         (64)

                         (65)
                                   137

-------
where (*) represents an excited state.  Darnall et al. (1976a) estimated
the ratio ^55/^54 to be 0.09 for butyl, 0.16 for pentyl, and 0.6 for hexyl
systems.  Simulations of 2,3-dimethylbutane experiments with these estimates
showed a major decrease in chemical reactions and a major loss of NOX.
Simulations with lower ratios produced small amounts of nitrate and main-
tained the NOX concentration.  We have included the R02 + NO reaction path-
way to form radicals in the 2,3-dimethylbutane simulations.   Rate constants
for the tertiary and primary 2,3-dimethylperoxybutyl radicals with MO have
                           3    -1   -1
been assumed to be 1.5 x 10  ppm  min  .   Another possible source of nitrate
may be alkyperoxy + N02 reactions:

                   R02 + N02 -»• R02N02     ,                           (66)

                   R02 + N02 -> (R-l)CHO + HON02     .                  (67)

Simonaitis and Heicklen (1974) reported that the alkylperoxy nitrate in
Reaction (66) accounts for 75 percent of the total reaction products.  Spicer
et al. (1973) postulated the formation of alkyl nitrates from the alkylperoxy
nitrate:

                          R02N02 -> RON02     .                        (68)

They based their conclusion on observations of alkyl nitrates in their
experiments.  Simonaitis and Heicklen are not definite on the production of
nitrates from the alkylperoxy nitrate, but  they recommend a value of 2.2
for the ratio of the rate constant of the reactions of R02 with NO and with
N02.  Simulations with this ratio showed a  major decrease in chemical
reactivity and a major loss of NOX» similar to the effects on simulations
of adopting the estimates by Darnall et al. (1976a) mentioned earlier.

     The production of nitrates from the R02 + N02 reaction may be a minor
or a reversible pathway.  Since the R02 + N02 reaction may be analogous to
the H02 + N02 reaction, the R02N02 may decompose to form R02.  Barker and
Golden  (1977) postulated that the abstraction reaction may be important:
                                    138

-------
  CH,3
      'C	('•'''     + N00 —»CH7CH(CH,)C(0)CH, + HONO?     .             (69)
            \           C.      3     •J       «5       *-

  CH0        CH,
                3
All of the possible reaction products of R02 with N02 will be examined in
further detail before any of these reactions are incorporated into kinetic
mechanisms.

Photolysis of Acetone

     Acetone is known to photolyze in the UV region (Calvert and Pitts,
1966).  At low pressures, the main process is:
0
II
rr
3

LI bv
H3— - -
o"
it
II
3 *_
*


                                                                        .(70)
The excited acetyl radical may decompose to form CHj and CO.  Calvert and
Pitts reported that at 313 nm only 7 percent decomposes, whereas at 254 nm
22 percent decomposes.  Leighton (1961) reviewed the quantum yields of the
photolysis of acetone and reported a value of 0.7 for the production of
acetyl and methyl radicals; he also found that the quenching of excited
acetone molecules is negligible.

     Acetone was present at a low concentration in many early UCR smog
chamber experiments because it was used to clean the chamber.  In the
2,3-dimethyl butane experiments, acetone is apparently one of the major pro-
ducts of the initial oxidation.  Therefore, its photolysis is important in
this system.  Indeed, UCR data show PAN in the 2,3-dimethyl butane experi-
ments.  Preliminary simulations show that PAN concentrations are underpre-
dicted when the acetone photolysis reaction is left out of the mechanism.
                                   139

-------
Results for the 2,3-Dimethylbutane/NO  System
                                     A

     Three 2,3-dimethylbutane/NOv experiments were performed at UCR.   The
                                /\
present 2,3-dimethy!butane kinetic mechanism is  shown  in  Table  21.  The
initial conditions and photolysis rate constants used  in  the simulations of
these experiments are presented in Table 22.   Table 23 presents the simu-
lated and measured maximum one-hour-average NCL  and 03 concentrations.
Figures 38 through 40 show the results of the computer simulations  of EC-
169.   The results of all  computer simulations of the 2,3-dimethyl butane
experiments are presented in Volume II.

     To simulate the high yields of organic nitrates in the 2,3-dimethyl butane
runs, we introduced the R09 + NO to form nitrates (at  rate constants  of
        3-1-1
1.5 x 10  ppm  min   for the 2,3-dimethylbutyl peroxy  radicals), which caused
a decrease in the concentration of radicals in the simulations.  This de-
crease led to a less reactive system.  The predicted rate of disappearance
of 2,3-dimethyl butane is slower than the measured rate in the middle  of
each simulation.  If the observed organic nitrate concentrations are  correct,
we must look for sources of radicals from the major secondary products
(namely, higher aldehydes and ketones) to sustain the  disappearance rate
of 2,3-dimethyl butane.  Owing to the low reactivity in the simulations, the
predicted 03 induction period is longer while the time to ozone maximum
was shorter than that in the observational data; yet the  predicted  maxima
agree fairly well with the measured data (see Table 23).   Although  the pre-
dicted induction periods for all organic species are longer than the  ob-
served times, NO and N02 behavior tend to agree with the  observed behavior.
The absolute amounts of NO^ in the simulations seem very  suspicious,  however.

MULTIPLE HYDROCARBONS

     During the past year, UCR conducted smog chamber  experiments with mix-
tures of several initial hydrocarbons.  Experiments with  multiolefin/NOx
systems will aid in the development of generalized mechanisms in which olefins
are treated as one (or more) generalized species.  The formulation  of general-
ized mechanisms is discussed in Section 6.   In this subsection, our main
                                   140

-------
TABLE 21.  REACTIONS OF 2,3-DIMETHYLBUTANE*
Reaction
(CH3)2CHCH(CH3)2 + 0-2 (CH3)2CHC(02)(CH3)2 + OH-
0.
(CH3)2CHCH(CH3)2 + OH- -* (CH.j)2CHC(Oj)(CH3)2 + H20
°2
(CH,),CHCH(CH.)_ + OH- -* (CH,),CHCH(CH,)CH,0; + H,0
32 3 £ j £ j £ £ £
°2
CH3C(0)(02)CHCH(CH3)CH2OH + NO -» N02 + CH3CH(02)CH(CH3)CH2OH +
(CH,),CHC(0;)(CH,), + NO -> HO, + (CHj.CHCtO-MCH,),
J £ tJt ' JC Jt
(CH,),CHC(0:)(CH,), + NO -«• (CH,),CHC(ONO,)(CH,),
1 32 t 3 2 3 i c. it.
(CH3)2CHCH(CH3)CH202 + NO -» N02 + (CHj^CHCHfCHjJCHjO-
(CH3)2CHCH(CH3)CH202 + NO * N02 + (CH3)2CHCH(CH3)CH20»02
CH,CH,(0;)CHCH(CH,)CH,OH + NO * NO, + CH,CH,(0;)CHCH(CH,)CH,OH
3 2 £ 3 2 £ 3 £ £ 32
CH3OU02)CH(CH3)CH2OH + NO -> NOj + CHjCHtO- )CH(CH3)CH2OH
CH3CH(02)CH2OH + NO * N02 * CH3CH(0-)CH2OH
(CH3)2CHCH(02)CH3 + NO * N02 + (CH3)2CHCH(0-)CH3
(CH3)2CHCH(02)CH3 + NO * (C«3)2CHCH(ON02)CH3
(CH3)2C(02)C(0)CH3 + NO » N02 + (CH3)2C(0-)C(0)CH3
CH3C(0)C(02)(CH3)CH2OH + NO * N02 + CH3C(0)C(0-)(CH3)CH2OH
CH3C(0)CH(02)OH + NO - N0? + CH3C(0)CH(0-)OH
°2
(CH3)2CHCH(CH3)C(0)OJ + NO -* N02 + (CH3)2CHCH(02)CH3 + C0?
(CH3)2CH02 + NO * N02 * (CH3)2CHO-
(CH3)2CH02 + NO -. (CH3)2CHON02
°2
(CH3)2CHC(0-)(CH3)2 -* CH3C(0)CH3 + (CHj^CMOj
°2
(CH3)2CHCH(CH3)CH20- -4 CH.jOyOpCHCHlCH^O^OH
°2
(CHj)2CMCM(CH3)CH20- -* HCHO + (CH^CHOUOpCHj
Rate constant
(pom" mln" )
3.37 x 102
9.8 x 103
1.4 x 103
C02 3.8 x 103
1.1 x 104
1.5 x 103
1.1 x 104
1.5 x 103
1.2 x 104
1.2 x 104
1.2 x 104
1.1 x 104
6 x 102
1.2 x 104
1.2 x 104
1.2 x 104
3.8 x I03
1.1 x 104
3 x 102
3.8 x 107*
1.7 x lO8*
2.4xl03t
                                         (continued)
                    141

-------
                        TABLE  21   (Continued)
                           Reaction
Rate constant


(ppm' m1n'  )
CH3CH2(0-)CHCH(CH3)CH2OH  -* HCHO +





                     °2
CH3CH(0-)CH(CH3)CH2OH -4  CHjCHO +





                 °?
(CH3)2CHCH(0-)CH3 -* CH3CHO +  (CH3





                  °?
(CH3)2C(0-)C(0)CH3 -i CH3C(0)02 +
CH3C(0)C(0-)(CH3)CH2OH -i CH3C(0)02 + CH3C(0)CH2OH







(CH,),CHO-  -£ CH,CHO + CH,0:
   j £.         J        J c
(CH3)2CHCH(CH3)CH20- + 02 * (CH3)2CHCH(CH3)CHO + HOJ





(CH3)2CHCH(CH3)0- + 02 * (CH3)2CHC(0)CH3 + HO^







CH3CH2(0-)CHCH(CH3)CH2OH + QZ - CH3C(0)CHCH(CH3)CH2OH







CH3CH(0-)CH(CH3)CH2OH







CH3CH(0-)CH2OH + 02 *







CH3C(0)CH(0-)OH + 0? * CH3C(0)C(0)OH







(CH3)2CHO- + 02 * CH3C(0)CH3 + H02




                       20
1.0 x 103






1.0 x 105






2.9 x 105






2.9 x 101






2.9 x






1.6 x






8.57





3.2 x 10






7.1 x 10






7.1 x 10






3.2 x 10"






3.33






4.8 x 10
       ,5+
        ,-1
        ,-2
        ,-2
        ,-1
' 7
(CH3)2CHCH(CH3)CHO + hv — » (CHjJjCHCHfOjJCHj + HOj + CO
20-
CH3CH(0-)CHCH(CH3)CH2OH + hv — 4 CH3CH(02)CH(CH3>CH2OH + H0| + CO
20
CH,C(0)CH(CH,)CH-OH + hv — * CH,C(0)OI + CH,CH(Oi)CH,OH
33^ 3 c 3ZZ
202
CH-C(0)CH,OH + hv — * CH,C(0)o; + HCHO + HOI
3 Z 3 t t
202
(CH3)2CHC(0)CH3 + hv — i CH3C(0)02 + (CH3>2CH02
CH3C(0)C(0)OH + hv -» CH3CHO + C02
20,
CH3C(0)CH3 + hv — » CHjOj + CH3C(0)02
Experimental'
Experimental*
Experimental
Experimental *
Experimental
Experimental'1
Experimental4
                                                                 (continued)
                                   142

-------
                          TABLE  21  (Concluded)

(CH
CH3
CH,
Reaction
0-
3)2CHCH(CH3)CHO + OH- -* (CH^CHCHfCH-jJCfOJOJ + H20
0.
CH(0-)CHCH(CH3)CH2OH + OH- -4 CH3C(0)(02)CHCH(CH3)CH2OH + H20
0,
,C(0)CH(CH,)CH,OH + OH- -4 CH,C(0)C(0;)(CH.,)CH,OH + H.O
Rate constant
(ppn.-'mln-1)
2.4 x 10*
6.0 x 103
6.0 x 103
                   0,                                                        3
CH3C(0)CH2OH + OH-  -4  CH.jC(0)CH(02}OH + HjO                          6.0 x 10


                      0,                                                     3
(CH3)2CHC(0)CH3 + OH-  -4  (CH3)2C(02)C(0)CH3 + H20                    6.0 x 10


•02C(0)CH(CH3)CH(CH3)CH2OH  + HO^ * HOOC(0)CH(CH3)CH(CH3)CH2OH + 0?    4.0 x 103



(CH3)2CHCH(CH3)C(0)02  + H02 *  (CH3)2CHCH(CH3)C(0)OOH + 02             4.0 x 10



(CH3)2CHC(02)(CH3)2 +  HOJ * (CH3>2CHC(OOH)(CH3)2 + Oj                ] -0 x ^



(CH3)2CHCH(CH3)CH202 + HOj  * (CHjJjCHCHfCHjJCHgOOH + QZ              '.Ox 103



CH3CH2(02)CHCH(CH3)CH2OH +  HOj * CH3CH2(OOH)CH(CH3)CH2OH + 02         4.0 X 103



CH3CH(02)CH(CH3)CH2OH  + HOJ * CH3CH(OOH)CH(CH3)CH2OH + 02             4.0 x 103



CH3CH(02)CH2OH +  HOJ •* CH3CH(OOH)CH2OH + 02                          4.0 x 103



(CH3)2CHCh(02)CH3 + HOj * (CH3)2CHCH(OOH)CH3 + 02                    4.0 X 103



(CH3)2C(02)C(0)CH3  + HO^ *  (CH3)2C(OOH)C(0)CH3 + 02                  4.0 X 103



CH3C(0)C(02)(CH3)CH2OH + H02 + CH3C(0)C(OOH)(CH3)CH2OH + 02           4.0 x 103



CH3C(0)CH(0-)OH + H02  » CH3C(0)CH(OOH)OH * DZ                        4.0 X 103



  (CH3)2CHC(0-)(CH3)2 + N02  ->  (CH3)2CHC(CH3)2OH02                     1.5 x 104



  (CH3)2CHO- + N02 - (CH3)2CHON02                                     1.5 x 104



  (CH3)2CHO- + N02 +• CH3C(0)CH3 +  MONO                               2.9 x 103



(CH3)2CHCH(CH3)CH20- + N02  -  (CH.j)2CHCH(CH3)CH2ON02                  1.5 x 10*



(CH3)2CHCH(CH3)CH20- + N0?  *  (CH3)2CHCH(CHj)CHO + MONO               2.9 x 103


* The inorganic,  formaldehyde, and acetaldehyde reactions  listed earlier must be
  added to construct the 2.3-dimethylbutane mechanism.

t Rate constant In  m1n  .
                                   143

-------






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                                     TIME, minutes



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Figure 38.  Simulation results of a UCR 2,3-dimethylbutane experiment (EC-169)
                                      145

-------
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     0.67 -
     0.51 -
0.41 -
     0.28
         0      90      180     270     360     450

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                                             540
630    720
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     0.021
     0.014
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 Figure 39.  Simulation  results of a UCR 2,3-dimethylbutane experiment
             (EC-169) for 2,3-dimethylbutane, acetaldehyde,  and PAN
                                    146

-------
   0.0100
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D.
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               90      180     270     360     450

                              TIME, minutes


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     0.02
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540    630    720
                             270     360     450

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Figure 40.  Simulation results of a UCR 2,3-dimethylbutane experiment
            (EC-169)  for isopropyl nitrate  and 2,3-dimethylbutyl nitrate
                                   147

-------
interest is the validation of the combinations of explicit mechanisms
used to simulate the mu1tiolefin/NOx systems.   UCR performed  the  following
multiolefin experiments:

     >  Ethylene/propylene/NOx (three experiments),
     >  Propylene/trans-2-butene/NOx (one experiment),
     >  Ethylene/propylene/l-butene/trans-2-butene/NOx  (five  experiments).
The simulations of these three multiolefin/NOx systems  are discussed in  turn
below:

Propylene/Butane Simulations

     Before discussing the multiple olefin experiments, we discuss  the
simulations of the propylene/butane/NOx experiments  performed at UCR.  Our
investigation of these experiments began earlier and was documented by
Whitten and Hogo (1977).  During this study, we updated the rate constants
of various reactions in the explicit propylene and butane mechanisms, as
discussed earlier, and combined them to create the propylene/butane kinetic
mechanism.

     The initial conditions for the propylene/butane simulations are pre-
sented in Table 24 along with the photolysis rate constants used in the
simulations.  Simulated maximum one-hour-average NCu and 0., concentrations
are presented in Table 25.  The results of the computer simulations are
shown in Figures 41  through 47 for EC-113 and EC-114.

Ethylene/Propylene Simulations

     Three experiments were performed at UCR using ethylene and propylene
as initial hydrocarbons.  The kinetic mechanism used to simulate the ethylene/
propylene experiments is a combination of the explicit  mechanisms for
ethylene and propylene.  The initial conditions and photolysis rate con-
stants for the ethylene/propylene experiments are presented in Table 26,
                                   148

-------



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              150     200     250


                  TIME,  minutes


              (a)  Propylene and
300    350    400
    0.12r
 E  0.09 '-
 Q.
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   Figure 41.  Simulation results of a UCR  propylene/butane experiment  (EC-113)

               for  propylene, 0.,, N02, and  NO
                                     150

-------
     2.
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 Q.
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     1.60
     1.50
     1.20
                50      100     150    200     250


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                     300
       350
       400
     o.osr
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     0.00.
                50
                       100
150     200     250


  TIME, minutes


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300
350
400
Figure 42.  Simulation  results of a UCR propylene/butane experiment
            (EC-113)  for butane and PAN
                                  151

-------
LU
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      0.16
      0.12
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                               150     200     250
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                                              300     350     400
     o.ooeor
     0.0045
     0.0030
     0.0015
     0.0000
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                                   TIME, minutes
                                (b)  Propionaldehyde
      Figure 43.  Simulation  results of a UCR propylene/butane experiment
                  (EC-113)  for acetaldehyde and propionaldehyde
                                        152

-------
   i.oor
   0.75
ct 0.50
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   0.25
    0.00
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 Figure 44.   Simulation results of a UCR  propylene/butane experiment
              (EC-119)  for  N02, NO, 03,  and propylene
                                    153

-------
    4.00
    3.50
    3.00
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    2.00
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300    350    400
    0.32r
    0.24
    0.16
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o
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 50      100     ISO     ZOO    250    300     350     400
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                    (b)  PAN
Simulation results  of a UCR propylene/butane experiment
(EC-114) for  butane and PAN
                                   154

-------
 Q.
 Q.
     o.BOr
     0.45
     0.30
 8   0-15
     0.00
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                               TIME, minutes
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                                   300     350    400
     O.BOr
     0.45
     0.30
 8
     0.00
                                                  300    350    400
50     100     150     200     250
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Figure 46.  Simulation  results  of a UCR propylene/butane experiment  (EC-114)
            for methylethylketone, formaldehyde, and acetaldehyde
                                     155

-------
         o.oiep
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         0.008
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                    50     100
  150    200    250

    TIME, minutes


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300    350    400
        o.oioor
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                     50      100
  150     200     250

    TIME, minutes
300    350    400
                       (b)  n-Butyl nitrate and butyraldehyde
Figure 47.  Simulation results of a UCR propylene/butane experiment (EC-114)
            for  propionaldehyde, n-butyl nitrate,  and butyraldehyde
                                       156

-------

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and the measured and simulated NOp and 0, maxima are given  in Table  27.
A sample simulation result is shown in Figure 48 for EC-145.

The Propylene/Trans-2-Butene Simulation

     Only one propylene/trans-2-butene experiment was performed at UCR.
The initial conditions for this experiment and the photolysis rate con-
stants for the computer simulations are presented in Table  28, and the
measured and simulated 03 in Table 29.  The kinetic mechanism used in the
computer simulation is a combination of the individual  propylene and trans-
2-butene mechanisms.  Figure 49 shows the simulation results.  Since the
major product from trans-2-butene is acetaldehyde, the simulation becomes
an acetaldehyde/propylene situation shortly after the start.   The results
are very similar in appearance to those for the simulation  of the propylene
experiment with added acetaldehyde (EC-217).   The computer  simulations show
that radicals generated in the current mechanism can account for the con-
sumption of either acetaldehyde or propylene in EC-217, but not both.

     The competition for OH- radicals in simulations of EC-217 occurs
mainly between three reactions:


            CO + OH- -4 H02 + C02         k = 4.4 x 102 ppm^min"1     ,  (71)

       CH3CH=CH2 + OH- —»• Radical         k = 4.2 x 104 ppm^min"1     ,  (72)


  CH3CHO + OH- -+ CH3C(0)0^ + H20         k = 2.4 x 104 ppm'^in"1     .  (73)

This competition implies several possible causes of the apparent lack of
radicals.  First, the propylene + OH- reaction may have a rate constant
faster than the currently accepted value.  Second, propylene may react with
radicals other than OH-; for example, some RO- may react with propylene later
in the simulation period.  Third, the simulated propylene decay may be
correct and the measurements wrong.  Because of the low initial propylene
concentration (0.08 ppm) in EC-217, the measurements of propylene may not
                                     158

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  Figure 48.  Simulation results of a UCR  ethylene/propylene experiment
              (EC-145)
                                       161

-------
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                             Figure 48  (Continued)



                                     162
                                                    300     350    400

-------
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                        Figure 48  (Concluded)
350    400
                                         163

-------
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  Figure 49.  Simulation  results  of a UCR propylene/trans-2-butene

              experiment  CEC-149)
                                 164

-------
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                       Figure  49    (Continued)
300    350     400
                                       165

-------
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                          Figure 49  (Continued)
                                     166

-------
   o.oioor
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                        Figure  49 (Concluded)
300    350     400
                                       167

-------
be as accurate as measurements made in more typical  runs (usually with pro-
pylene concentrations between 0.5 and 1.0 ppm).   Fourth, the currently
accepted value of Reaction (73) may be too fast, or the photolysis rate
constant for acetaldehyde may be too low.  The overall  decay of acetalde-
hyde may be predicted correctly by adjusting the balance between the photo-
lysis reactions and Reaction (73).  If the photolysis reaction is faster
and Reaction (73) is slower, we may still be able to follow the acetalde-
hyde decay and increase the radical concentration enough to simulate the
propylene decay accurately.  More detailed studies will be performed in
the coming year to elucidate the possible effects of the causes discussed
above.

Results of the Simulations of Multiolefin Systems

     Five experiments were performed at UCR using different mixtures of the
olefins ethylene, propylene, 1-butene, and trans-2-butene.  The simulations
of the ethylene/propylene and propylene/trans-2-butene experiments dis-
cussed earlier show that combining the individual explicit mechanisms is
currently a sound method for simulating multiple hydrocarbon systems.  The
cumulation of the individual mechanisms leads to a four-olefin mechanism
containing 140 reactions with 61 species.  The initial  conditions and
photolysis rate constants used in the computer simulations are presented
in Table 30.  Simulated maximum one-hour-average l^ and 0-j concentrations
are presented in Table 31.  Figures 50 through 54 show the simulation results
of the multiple-olefin systems.

     The results of simulating EC-151 show a major overprediction of 03
throughout the simulation [Figure 51 (a)].  This run had an unusually high
initial concentration of NOV (2 ppm compared with 1 ppm in the other runs).
                           J\
In all of the simulations, the simulated 0., induction period is slightly
short, even though the time to N0-N02 crossover is simulated accurately.
More work will be needed in the coming year to refine the predictions of
the explicit multiolefin mechanism.
                                     168

-------



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       TIME,  minutes
                       (a)  N02, NO, and 03
400
   0.18
   0.12
 S  0.08
    0.00
              SO      100     ISO     200     250     300    350    400
                            TIME,  minutes
              (b)  Acetaldehyde, PAN,  and propylene

    Figure 50.  Simulation  results of  a  UCR multiolefin experiment  (EC-150)
                                    170

-------
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TIME, minutes
200    250    300    350     400
                   (c)   Formaldehyde and ethylene
               50      100
150    ZOO    250

TIME, minutes
              300     350     400
                   (d)   Trans-2-butene and  1-butene


                      Figure 50  (Continued)
                                  171

-------
   o.osor
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                            350    400
   0.004
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               50
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TIME,  minutes
300    350    400
                (f)   Methyl nitrate  and butyraldehyde



                       Figure 50  (Concluded)
                                      172

-------
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 TIME, minutes


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300    350    400
   1.60
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3 0.40
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             50     100    150     200     250     300     350    400

                             TIME,  minutes


                     (b)   Ethylene, N02 and NO



  Figure 51.   Simulation  results  of a UCR multiolefin experiment  (EC-151)
                                   173

-------
    o.S6r
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    0.14
    0.00
               50     100     150    ZOO     250     300     350

                             TIME, minutes


                   (c)   Acetaldehyde and  propylene
                                   400
   0.220r
    0.000.
                      100
ISO    200    250

 TIME, minutes
300    350    400
                  (d)  Trans-2-butene and 1-butene


                       Figure  51  (Continued)
                                 174

-------
Q.
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                                                   300     350     400
    o.ioop
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                                                    I	L
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   TIME, minutes


(f)   PAN and  PPN
300    350     400
                        Figure 51  (Continued)
                                      175

-------
E   0.12
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    0.08
o
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    °'00
                     x   *
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               50     100     ISO     200    250
                              TIME, minutes
                         (g)   Propionaldehyde
300    350    400
   o.oier
   0.012
   0.008
S 0.004
   0.000
                                                       X   X
               50     100     ISO    200    250     300     350
                              TIME, minutes
                 (h)   Butyraldehyde and  methyl  nitrate

                        Figure 51  (Concluded)
              400
                                176

-------
      i.oor
      0.75
      0.50
   S 0-25
      0.00
                                      J	I
0      50      100
                               150    200    250
                               TIME, minutes
                                  (a)   0,
300    350    400
      0.39
    a.
    CL
   o
   P 0.26
   I—
      0.13
      0.00
          0     50     100     150     200    250     300     350     400
                               TIME, minutes
                             (b)   N02 and NO

Figure 52.  Simulation results of  a  UCR multiolefin experiment  (EC-152)
                                  177

-------
E   0.90
Q.
a.
    0.60
S   0.30
    0.00
              so     ioo
         ISO    200    250
          TIME, minutes
            (c)  Ethylene
300    350    400
    0.00
              50     100
         150    200     250     300
          TIME, minutes
(d)  Acetaldehyde  and propylene

    Figure 52  (Continued)
                                                         350    400
                                     178

-------
   0.28
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                            TIME,  minutes
300
350
400
                 (e)  1-Butene  and trans-2-butene
0.
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   0.80
   0.60
< 0.40
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                            TIME,  minutes


                         (f)  Formaldehyde


                      Figure 52  (Continued)
300
350
400
                               179

-------
     o.iBr
 E   0.12|

 Q.
     0.08
S   0.041
     0.00
                50     100
150    200    250

 TIME, minutes
300    350     400
                   (g)  Propionaldehyde,  PPN, and PAN
   0.0044|
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                  X    X
   0.00221
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   o.ooooj
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150    200     250

 TIf'.E, minutes
300    350     400
                           (h)   Butyraldehyde


                        Figure 52  (Concluded)



                                     180

-------
     i.zor
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                       100
ISO     200    250
 TIME,  minutes
  (a)   0,
300    350    400
     l.OOp
     0.00
                50      100     150     200     250     300     350    400
                              TIME,  minutes
                            (b)  N02  and  NO
Figure 53.  Simulation results of a UCR multiolefin experiment (EC-153)
                                   181

-------
   2.oor
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Q.
   0.50
   0.00
       0      50      100
      150    200     250


      TIME,  minutes


      (c)   Ethylene
300    350     400
   0.12r
   0.06
o
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   0.00
       0      50     100
       150     200     250


      TIME,  minutes


    (d)  Propylene



Figure 53  (Continued)
300     350     400
                                     182

-------
   l.20r
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   0.60
o
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   0.00
             50     100
150     200    250


 TIME, minutes
300    350    400
                  (e)  formaldehyde and  1-butene
   0.36r
   0.00
             50     100     150     200     250    300    350    400

                            TIME, minutes



       (f)  Trans-2-butene, acetaldehyde,  and propionaldehyde




                      Figure 53  (Continued)
                                183

-------
     0.20
                                   *   *
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     0.15
     0.10
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     0.00
                50      100
  150     200     250

   TIME, minutes


(g)  PPN and  PAN
300    350    400
   0.0032p
    0.0000
                50     100
   ISO     200    250

   TIME,  minutes
                                                    300     350    400
                 (h)  Ethyl  nitrate and methyl  nitrate


                        Figure  53  (Concluded)
                                       184

-------
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   150    ZOO    250
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300    350    400
     0.52 r
              50     100
   150    200    250    300    350
    TIME, minutes
                                                           400
                           (b)  N02 and NO
Figure  54.  Simulation results of a UCR multiolefin experiment (EC-161)
                                 185

-------
o.izr
o.oo
           SO     100    ISO    ZOO    250    300    350
                        TIME, minutes
    (c)   Propionaldehyde, trans-2-butene, and propylene
                                           400
o.eor
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           50     100
         ISO    ZOO    250
          TIME, minutes
(d)  Formaldehyde and 1-butene

    Figure 54  (Continued)
                                             300    350    400
                                   186

-------
o.20r
fl.OO
                               200    250    300     350     400
                         TIME, minutes
               (e)  Acetaldehyde, PPN, and PAN
O.001
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                   Figure 54  (Continued)
                              187

-------
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   0.0000
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               50     100    150    200    250    300

                             TIME,  minutes


                  (g)  Ethyl nitrate  and methyl nitrate


                       Figure 54  (Concluded)
350    400
                                       188

-------
                                SECTION 6
                        THE CARBON-BOND MECHANISM

     Modeling the smog chemistry of hydrocarbons by treating certain types
of carbon bonds in hydrocarbon molecules and radicals as individual  species
was introduced by Whitten and Hogo (1977).   Their Carbon-Bond Mechanism
(CBM) was formulated to create a mechanism that:

     >  Has few or no empirical parameters  that must be used to
        adjust it to produce simulations in agreement with smog
        chamber experiments.
     >  Is capable of accepting atmospheric hydrocarbon measure-
        ments in the forms usually provided (ppmC or as weight
        rather than moles of molecules), eliminating the need to
        estimate average molecular weights  for paraffins, olefins,
        and other classes of species.
     >  Is compact enough to be used in conjunction with a
        regional model of air pollutant transport and dispersion
        for calculating pollutant concentrations as functions of
        space and time in urban areas.
     >  Is based on a generalization of explicit mechanisms
        rather than an empirical best fit of smog chamber data.
        Refinements in explicit mechanisms  can then lead directly
        to similar refinements in such a generalized mechanism.
     >  Is applicable to the complex mixtures of hydrocarbons
        found in urban atmospheres.

     The first four objectives in the above list have largely been  accom-
plished:  The original formulation of the CBM has only two empirical para-
meters that were chosen to fit smog chamber data:  the rate constants that
account for PAN formation and NO, behavior  in aromatic oxidation.   Using
the CBM requires an estimate of the nonmethane hydrocarbon (NMHC) concentra-
tion and the percentages of various bond types in the NMHC, whereas some

                                  189

-------
previous generalized mechanisms require the total NMHC concentration,  the
percentages of various classes of molecules (such as olefins  and aromatics)
in the NMHC, and the average molecular weight of each class.   The CBM  is
applicable to urban atmospheres as part of a regional air quality model,
as exemplified by the study by Anderson et al. (1977).  From  their use of
a regional model to study present and future pollutant concentrations  in
Denver, they concluded that:  "The accuracy of the ozone concentrations
predicted by the DAQM [Denver Air Quality Model] is on the order of the
accuracy of the ozone monitoring instruments."  (The new CBM  will soon be
used in regional air quality models for St. Louis, Missouri,  and Los Angeles
California).   Finally, the new CBM is based on generalization of our explicit
mechanism for four olefins and two paraffins plus a semi-empirical  mechanism
for aromatics.  The last objective in the above list, the ability of the  CBM
to treat mixtures of hydrocarbons accurately, has been tested during this
contract period.

     In the following sections, we first present the original formulation of
the Carbon-Bond Mechanism and describe our study to determine the accuracies
of mechanisms at different degrees of condensation, including an explicit
mechanism and the CBM.  Second, we present the formulation of the new  CBM,
which is based on the explicit mechanisms discussed in Section 5.

THE ORIGINAL CARBON-BOND MECHANISM

     The Carbon-Bond Mechanism as originally formulated is presented in
Table 32.  As discussed by Whitten and Hogo  (1977), the CBM is largely
an aggregation  and generalization, or "condensation," of the chemical
reactions used  in explicit kinetic mechanisms.  For example,  all explicit
mechanisms in this report include  the reaction OH- + N02 -»• HN03 with the
same rate constant, and so does the CBM.  The CBM treats four types
of carbon atoms as reactants:

     >  PAR  (all single-bonded carbon atoms, including those in
        paraffins, alkyl groups attached to aromatics, and so on,
        but excluding methane and  ethane).

                                  190

-------
TABLE  32.  THE  ORIGINAL  FORMULATION  OF THE CARBON-BOND MECHANISM
            Reaction
                                Rate constant


                                (ppm" mln   )
      N02 + hv •+ NO + 0-
      0- + 02(+ M) ->• 03 (+ M)





      03 + NO ->• N02 + 02





      0- + N02 -»• NO + 02
            NO
      NO
                       2HN0
2HN0
      HN02 + hv -4- NO +  OH
      N02 + OH- * HN03
      NO + OH- + HN02





      CO + OH- •*• C02 + HC




               °2
      OLE + OH- £ HCHO +



               0,
                2
          + OH- *
 + H20
PAR + OH
              j t.


         0-

ARO + OH- + HCHO + CHjOg



        20-

OLE + 0- -4 HC(0)02- + CH30^




         °2
PAR + 0- 4 CH302 + OH-



        20,

ARO + 0- -4 HCfOjO^ + CH30^




        °2
OLE + 0- * HC(0)02 + HCHO + OH-
                                 191
                                2.08 x 10





                                25.2





                                1.34 x W*





                                5 x 10"2





                                1.3 x 104
                                                               "5
                                                                "3t
                                                 1.66 x 10





                                                 2.2 x 10"9t
9 x 10°





9 x 103





2.06 x 102





3.8 x 104





1.3 x 103





8 x 103





5.3 x 103




20





37





0.01
                                                           (continued)

-------
                        TABLE 32 (Concluded)
             Reaction
                                                 Rate constant

                                                 (ppnf1 min'1)
        ARO
        u?
    + 03 *  HC(0)0^ + HCHO + OH-
0.002
        OLE + 0. + ozonlde


                20-

        HCHO + hv +* HC(0)02 +  H02




        HCHO + hv -*• CO + H2



                 °?
        HCHO + OH- ' HCtOOj +  H20
                                                  0.005
                                                  L*
                                                  HCHO -> Radicals




                                                  If*
                                                  KHCHO •*• CO
                                                  1  x  101
        HOj + NO -* OH- + N02
                                                  2 x
             + NO + N0£ + HCHO +
                                                  2 x
HC(0)Oj + NO -> N02 + C02 + HOj
                                                         2 x 10-
            + hv ->• OH- + OH-
        HOj  + HOj •*• H202 + 02
                                                  4 x 10J
CH.OA + HO* •*- H,COOH + 09
O t to ^-
HC(0)0- + HO. •*- HC(0)OOH + 0
HC(0)02 + N02 * PAN
PAN * HC(0)02 + N02
ARO + N03 -»• Products
HOj + N02 -^ HN02
4 x 10J
1 x 10
150
0.02
50
20.

* Photolysis rate constants 1n units of min

t Units of
                                          -1
Source:   Whitten and  Hogo  (1977).
                                 192

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      >  OLE (all atoms in carbon-carbon double bonds, treated in
         pairs of carbon atoms, except those in ethylene and
         aromatic rings).
      >  ARO (all atoms in carbon-carbon double bonds in ethylene
         and aromatic rings, treated in pairs).
      >  CAR (carbonyl carbon atoms, whether in aldehydes or ketones).

 These four species were chosen to account for the types of carbon atoms
 that are important in photochemical smog; carbon atoms in alkynes, amines,
 alcohols, and other species appear to be unimportant because they are
 emitted only in small quantities.  In addition, explicit mechanisms and
 smog chamber experiments involving those species are not readily available.

      The CBM, as a condensation of explicit kinetic mechanisms, was
 designed to reproduce as closely as possible the results of simulations
 of smog chamber data using explicit mechanisms rather than the data them-
 selves.  Thus, there are two standards of performance for the CBM:

      >  How well it reproduces smog chamber data.
      >  How well it reproduces simulations of smog chamber data
         using explicit mechanisms.

 The importance of the former is obvious, the latter is important because
 it is a measure of how well the CBM represents the state of knowledge  of
 smog chemistry expressed in explicit kinetic mechanisms.  As discussed by
 Whitten and Hogo (1977), the latter performance standard is more meaning-
 ful, and a closer fit of smog chamber data by a CBM simulation than by
 a simulation with the appropriate explicit mechanism is fortuitous.

     The difference in these performance standards is shown by results
from Whitten and Hogo (1977).   As measured by the difference between the
maximum one-hour-average CL concentration measured in a smog chamber
experiment and that calculated in the corresponding computer simulation,
the CBM fit the explicit mechanisms with a standard deviation of 10
                                   193

-------
percent and the UCR smog chamber data with a standard deviation of 27
percent.  The explicit mechanisms themselves fit the UCR smog chamber
data with a standard deviation of 20 percent.  These figures  suggest
that more of the uncertainty in a CBM simulation of a smog  chamber experi-
ment was caused by deficiencies in knowledge of smog chemistry or inaccur-
acies in smog chamber data than by the approximations and assumptions  on
which the CBM is based.

Degree of Condensation in a Mechanism

     This section describes some tests of how an increase in  condensation
in a kinetic mechanism affects its predictive accuracy.   An approximation
used in the CBM is the assumption that carbon atoms with similar bonding
react alike and have similar rate constants.  This approximation has been
made to reduce (or condense) the number of chemical reactions treated  in
the CBM.  Of course, the CBM is only one of many possible mechanisms based
on that approximation.  A mechanism less condensed than the CBM could  be for-
mulated by treating primary, secondary, and tertiary carbon atoms in
paraffins separately.  A more condensed mechanism could be  formulated, for
example, by treating olefins and aromatics together.

     We used four mechanisms with different degrees of condensation to
simulate a smog chamber experiment to study the way in which  condensation
affects accuracy.  The smog chamber experiment studied (UCR EC-150) was
begun with four olefins of widely different reactivities (ethylene, pro-
pylene, 1-butene, and trans-2-butene).  This experiment was chosen because
the reactions of the initial hydrocarbons can be treated at different
degrees of condensation.  The four mechanisms at different degrees of  con-
densation used to simulate EC-150 are:

      (1)  An early explicit kinetic mechanism [the combination
          of explicit mechanisms for  the four initial hydro-
          carbons taken from Whitten  and Hogo (1977)].
                                    194

-------
     (2)  A modification of the CBM in which all  initial
          (unreacted) double bonds are treated explicitly and
          all other species are treated using generalized
          species (e.g., propylene is treated as  one PAR  and
          one "p^opylene double bond"; an oxidized species such
          as CH3CO*  is treated as one PAR and one HCO;).
     (3)  The original formulation of the CBM (e.g., propylene
          is treated as one PAR and one OLE; ethylene is  treated
          as ARO).
     (4)  The CBM with ethylene grouped with OLE  rather than with
          the less reactive ARO.

In this discussion,  it is helpful to consider hydrocarbon oxidation  in
smog in two phases:   primary and secondary.   In primary oxidation,  the
original olefin is attacked by OH-, 0, or 0~, producing mainly ROX,  RCO,,
and RCHO.  In secondary oxidation, those products react until CO or  C0?
is finally reached.

     Mechanism 1 treats all important reactions in both primary and  secondary
oxidation explicitly.  Mechanism 2 treats the secondary oxidation reactions
through the generalized species used in the  CBM.   The treatment of  the
primary oxidation reactions in Mechanism 2 is somewhat more detailed than  in
Mechanism 1 because the latter ignores the possibility of attack by  OH»
on the paraffinic portions of the olefins.  This  difference is unlikely
to be important for small olefins such as propylene because OH- apparently
attacks the double bond in the olefins of interest far more frequently  than
it attacks the paraffinic portions.  For longer aliphatic olefins,  however,
the competition for OH- between the double and single bonds should  be con-
sidered.  We used Greiner's (1970) formula for calculating alkane-OH« rate
constants to estimate that the single bond attack becomes competitive for
olefins with ten or more carbon atoms,  Mechanism 3, the  original  formula-
tion of the CBM, treats both the primary and secondary oxidation reactions
through generalized species.  The initial olefins propylene, 1-butene, and
                                   195

-------
trans-2-butene are treated as  OLE  (with  the appropriate number of PARs),
and ethylene is treated as ARO.  Mechanism 4, the most condensed of the four
mechanisms studied, is  similar to  Mechanism 3 expect that ethylene is treated
as OLE rather than ARO.

     Before presenting  the simulation  results, we wish to point out that
the simulations with Mechanism 1 were  carried out early in the contract
period and do not reflect the  refinements discussed in Section 5.  Figure 55
compares Mechanisms 1 and 2.   Excellent  agreement is seen; hence there is
no loss of accuracy when secondary oxidation products are condensed.  To
test Mechanism 3, we have to  calculate rate constants for olefin + OH-
for the surrogate olefins.  Four ways  of doing this are:  the arithmetic
mean (k/,M), the geometric mean (kgM)>  the harmonic mean (kuuK and the root-
mean-square-value (kRMS):
                           kAM "  V^         '                      (74)
                                  4,  "i
                                      w.  £n  ki
                                                                   (75)
                                      r»,
k
                            HM =  ^- ..  „        •                   (76)
                                    196

-------
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-------
  where w.  is  the mole fraction  of olefin i  (relative to the total olefin
  concentration) and  k.-  is  the rate constant for reaction of olefin i with
  OH-.
        The  results of  the simulation of the multiolefin experiment with the
   four  mechanisms are  summarized in Table 33.  The results of using Mechanism 3
   are shown in Figure  56 for each of the four averaging methods just discussed.
   The results are compared to those of Mechanism 2, which we have already shown
   to be accurate.  Note that the root-mean-square rate constant, kRMc> works
   best.

        Figure 57 compares Mechanism 4 to Mechanism 2.  Acceptable agreement
   is obtained for NO when the arithmetic mean of olefin rate constants is used,
   but NOp and 0_ are poorly reproduced regardless of what averaging method
   is used.  Since the  simulation with Mechanism 3 agreed fairly closely with
   those from Mechanisms 1 and 2, the difference between those simulations and
   the simulation with  Mechanism 4 arises from the loss in accuracy inherent
   in the condensation  of the primary oxidation reactions.
TABLE 33.   RESULTS OF SIMULATING A MULTIOLEFIN EXPERIMENT WITH FOUR MECHANISMS


No.
1
2

Mechanism
Full explicit
Explicit olefin reactions,
No. of
species
53
25
No. of
reactions
117
50

Mechanism (N-l)
--
Excellent
       condensed secondary oxidation
       Carbon-Bond Mechanism—olefins     21
       treated in two groups, con-
       densed secondary oxidation
       CBM, except olefins treated in     20
       one group
40
35
Good
Poor
                                     201

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     Any time two or more reactants are represented by a  single  surrogate
species with an averaged rate constant some loss in accuracy  is  unavoidable.
In the early stages of any simulation, the more reactive  species disappear
more rapidly than the less reactive ones, and so the averaged rate constant
is too low early in the simulation and too high late in the simulation.
Hecht, Liu, and Whitney (1974) showed that a continuously updated average
rate constant could be used in a mechanism with condensed primary oxidation
reactions to attain greater accuracy.  Perhaps the Carbon-Bond Mechanism
could be combined with such an averaging scheme.  The resulting  mechanism
should give accuracy commensurate with that of Mechanism  2, yet  the number
of species treated in the kinetics would be as low as in  the  standard Carbon-
Bond Mechanism.  Unfortunately, using such an averaging scheme would require
more data, namely, the relative amounts of different molecules of the same
chemical type.

     In summary, this test suggests that mechanisms slightly  more condensed
than the CBM can be much less accurate if ethylene is grouped with other
olefins and that mechanisms with less condensation are only slightly more
accurate, indicating that the CBM represents a desirable  compromise between
compactness of form and accuracy of prediction.

FORMULATION OF THE NEW VERSION OF THE CARBON-BOND MECHANISM

     At the time the original CBM was formulated it represented  a conden-
sation of existing explicit mechanisms  (primarily for propylene  and butane).
It was also used to simulate a set of smog chamber experiments with a
reasonable degree of success.  Knowledge of smog chemistry has expanded to
include more molecules, however, and the amount of data from smog chamber
experiments has increased.  Therefore, we sought to improve the  Carbon-
Bond Mechanism.

     Periodic  updating of generalized mechanisms such as  the CBM is to be
preferred to continuous updating.  Changes in one reaction may require
compensating changes in other reactions  to maintain the overall  predictive

                                       208

-------
accuracy of simulations using the mechanism.   Consequently, after a change
the mechanism should be tested with an entire set of smog chamber data
to ensure that no special problems have been  created that would create
difficulties in atmospheric applications.  The cost of such testing makes
it desirable to test the effects of several changes at once.   In addition,
documentation of any changes is necessary to  keep all  users of the mechan-
ism informed.

     The formulation of the new version of the CBM reflects the following
changes to the original CBM:

     >  Elimination of the peroxyformyl radical  (HCO;).
     >  Updating of the rate constants and the exclusion of HONO
        and HOOH.
     >  Inclusion of the reactions of intermediate Criegee
        species formed from ozone-olefin reactions.
     >  Inclusion of new surrogate species representing  the
        addition products of OH* to double bonds.
     >  Inclusion of a new formulation for carbonyl photolysis
        and oxidation.
     >  Treatment of alkyl radicals in long-chain paraffins.
     >  Treatment of ethylene as an explicit  species.
     >  Treatment of internal oleftns as carbonyls.
     >  Use of a root-mean-square rate constant for the  reactions
        of OH«, 0, and 03 with hydrocarbons.
     >  Incorporation of a new aromatic chemical  reaction scheme.

Each of these changes is discussed individually in the following subsections.
Table 34 lists the current version of the CBM.

Elimination of the Peroxyformyl Radical

     At the time of the original formulation  of the CBM, our  explicit
mechanisms included the peroxyformyl  radical  (HCOj), which no longer

                                   209

-------
      TABLE 34.   THE NEW  CARBON-BOND MECHANISM
                                                        Activation

                                            ,              energy

_ Reaction _ (ppm  mln   ) _ (K)


NOj + hv -> NO + 0                    Experimental f



                                            c§
0 + 02 + M - Oj + H                  2.1 X 10




03 + NO - N02 + 02                   23.9                    1.450




03 + N02 •* N03 + 02                  4.8 X 10~2              2,450




0 + N02 - NO + 02                    1.34 x 104




03 + OH -> H02 + 02                   7.7 x 101                1 ,000




03 + H02 * OH + 202                  5.0                     1,525




N02 +  OH  -> HN03                     1.4 x 104





       °2                                  2
CO + OH -> H02 +  C02                 4.4 x 10^



                                           -10s
NO + NO + 02  •+ 2N02                  7.1 x 10




N03 + NO + 2N02                     2.8 x 104




N03 + N02 +  H20 •* 2HN03               1.56xlO"35            -10,600




 H02 + NO  •* N02 + OH                   1.2  x 104




 H02 + H02 ->                          1.5  x 104




 PAR + 0 * ME02 + OH                  2 X  101




 PAR + OH * ME02                      1.5  x 103




 OLE + 0 * ME02 + AC03 +  X             2.7  x 103




 OLE + 0 * CARB                       2.7  x 103



 OLE + OH * RA02                      4.2  x 104




 OLE + 03 * CARB + CRIG               8 x 10"3




 OLE + 03 - CARB + MCRG               8 x 10"3




 ETH + 0 •» ME02 + H02 + CO             6 x 102




 ETH + 0 •» CARB                       6 x 102
                                            (Continued)
                             210

-------
                      TABLE  34  (Continued)
                                                   Rate constant
                                                      at 298K

	Reaction	  (ppm" min  )	(K)

ETH + OH * RB02                                   1-2 x 104


ETH + 03 * CARB  +  CRIG                            2.4 x 10"3


ftC03 + NO ->• N02  +  HE02 + C02                      3.8 x 103


RB02 + NO -* N02  +  2  CARB + H02                    1.2 x 104


RA02 + NO -> N02  +  2  CARB + H02                    1.2 x 104


ME02 + NO -* N02  +  CARB + HE02 + X                 (1.2 x 104)(A-1)/A*


ME02 + NO - N02  +  CARB + H02                      (1.2 x 104)/A**


ME02 + NO •» Nitrate                               5 x 102


RBOj + 03 -» 2 CARB + H02


RA02 + 03 -> 2 CARB + H02                          2 x 10*


ME02 + 03 * CARB + H02                            5.0


CARB + OH -> o(H02 + CO) +  (1 - a)(AC03 + X)       (2.4 - a) x 104


CARB + hv ->• CO                                   akf*tt


CARB + hv -•• (1 + o)H02 +  (1 - a)(HE02 + X) + CO   la.jf iV *tt



X  + PAR *                                        1 x 105


AC03 + N02 •* PAN                                 2 x 103


PAN ^ AC03 + N02                                 2.8 x  10"2              12,500


AC03 + H02 *                                     4 x 103


HE02 + H02 *                                     4 x 103


CRIG + NO * N02 + CARB                           1.2 x  104


CRIG + N02 * N03 + CARB                           8 x 103


 CRIG + CARB  ^Ozonide                            2 x 103


 MCRG + NO  * N02 + CARB                           1.2 x  104


HCRG + N02  * N03 + CARB                           8 x 103
                                  211

-------
                 TABLE  34  (Concluded)
Reaction
MCRG + CARB •* Ozonide
CRIG - CO
CRIG •» Stable Products
CRIG - 2H02 + CO
MCRG * Stable Products
MCRG * ME02 + OH + CO + X
MCRG •» M£02 + H02 + X
MCRG - CARB + 2H02 + X
ARO + OH * Y + H02
ARO + OH - V + OH
Y + NO •» NO + AERO
Y + NO - NO + HCHO + PAR
Y + NOj -» HNOj
Y + 03 •» PAR + PAR
Rate constant
at 298K
(ppm" mln" )
2 x 103
6.7 x 102
2.4 x 102
9 x 101
1.5 x 102
3.4 x 102
4.25 x 102
8.5 x 101
1.5 x 104
9 x 103
1 x 101
2 x 101
3.5 x 104
5 x 10'1
Activation
energy
(K)
--
—
--
-
--
--
-
—
--
—
—
—
~
-
 * The rate constants shown are as used to nodel eleven experiments at UCR that used
   mixes of seven hydrocarbons.  For that study the default values, o • 0.5 and
   A = 1.5, were used.

 t Units of mln"1.

 I Units of ppm  m1n~  .

** A is the average number of ROj-type radicals from a hydrocarbon between
   attack by OH- and generation Bf H02-

t+ a is the fraction of  total aldehydes that represents formaldehyde and ketones.
     kf 1s the rate constant for the reaction HCHO + hv •» 2HOJ + CO.
                               212

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appears in our explicit chemistry (see Section 5 for further discussion).
To account for this change, we introduced a new surrogate species,  ACOX,
which is-a surrogate for RCOX radicals (where R has one or more carbon
atoms).  AGO;, which has two carbon atoms, is formed in the CBM from the
reaction of OH- with CARB, which represents only one carbon atom.   Thus
some correction must be made to preserve carbon mass balance.   The  correction
we used is suggested by a reaction of RCOl in the explicit mechanisms.
Recall that in those mechanisms RCO^ (R >. CH^) can react with NO to produce
NOp, C02> and RO^.  The significance of that reaction is that it initiates
the oxidation of the carbon atom adjacent to the CO; group in RCOA  without
any involvement of OH- or 0.  Thus it corresponds, in the terms used in the
CBM, to the conversion of PAR to MEOp by a pathway not previously accounted
for in the CBM.  In the revised Carbon-Bond Mechanism ACOx reacts with NO
to produce NO^, CO^, and MEO^ (the surrogate for ROA).  When this reaction
is included in the CBM one PAR must be subtracted to account for the MEOp
formed (i.e., to maintain carbon mass balance).  We accomplished this by
means of a fictitious compound X.  One X is produced whenever an extra
carbon atom appears on the right side of a chemical reaction.   This X
immediately removes one PAR by means of the reaction PAR + X+    ,  which
is given a very high rate constant.  Typically the appearance of X  accounts
for the oxidation of a single-bonded carbon atom from the PAR pool  by
pathways other than direct reaction with OH- or 0.  These other pathways
were not accounted for in the original formulation of the CBM.

     At present, we do not treat the case of X being produced when  no satu-
rated carbon atoms remain (i.e., [PAR] = 0).  None of the UCR experiments
simulated to date seems to require consideration of this potential  problem.
During the coming year, we will investigate such possibilities as a competi-
tive reaction for X with the ACO; or the MEOp produced at the same  time;
either reaction would produce H0«.
                                   213

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Updating of the Reaction Rate Constants

     The reaction rate constants from the original  CBfl developed by
Whitten and Hogo (1977) were updated to those shown in Table 34 as  dis-
cussed in Sections 4 and 5.   One of the new features of the CBM is  the
inclusion of activation energies to account for variations in temperatures.

     On the basis of studies of the effects of HONO chemistry in the
explicit mechanisms (see Section 4), we have eliminated HONO chemistry from
the CBM.   For the smog chamber simulations, we have introduced a species
"RX", with a decay constant and concentrations similar to those of the
initial HONO used in the explicit mechanism as a source of radicals found
initially in the simulations (see Section 4 for further discussion).

     Hydrogen peroxide as an explicit chemical species has been elimi-
nated from the CBM on the basis of investigations of the explicit mechan-
isms showing that the photolysis of hydrogen peroxide plays only a  minor
role as a radical source.  Thus, the only reaction  used in  the CBM  is:

                                               4    -1   -1
          H0£ + H02 -»•         ,    k = 1.5 x 10  ppm  min

Products of the Ozone-Olefin Reactions

     Because Criegee intermediates from the ozone-olefin reaction were
added to the explicit mechanisms, we included them in the Carbon-Bond
Mechanism.  The Criegee intermediates are represented by the symbols CRI6
for CH202 and MCRG for CH3CH202, the two Criegee intermediates found in
the explicit mechanisms.  Since the reactions of the Criegee intermediates
are the same as those discussed in Section 5, they are not discussed here.
As noted in Section 5, the rate and amount of production of radicals from
Criegee intermediates is still uncertain.  Therefore, the CBM may be further
updated as more information concerning the fate of these intermediates
becomes known.
                                    214

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Carbonyl Photolysis and Oxidation

     A necessary part of the formulation of the Carbon-Bond Mechanism is
the condensation of the reactions of aldehydes and ketones into two types
of reactions, namely, photolysis and oxidation by hydroxyl radical.

     In general, aldehydes larger than formaldehyde appear to photolyze
as follows:

           RCHO + hv -»• R'O- + HO^ + CO         kyg = kf is defined as:  $ is the average quantum
yield, and k. is the photolysis rate constant for formaldehyde producing
two radicals.  (Note that k. is the same as FORM+Products, which is defined
and discussed in detail in Section 4.)  In dll computer simulations dis-
cussed in the previous sections, a value of 0.5 for <(> was assigned to all
higher aldehyde photolysis reactions.  We used k, to represent the photol-
ysis rate constant for all aldehydes.

     In the photolysis of formaldehyde under a typiqal solar spectrum, two
reaction pathways occur at approximately equal rates (see Section 4):

          HCHO + hv + H2 + CO                k?g = kf     ,        (79)

          HCHO + hv -> H02' + HO^ + CO         kgo = kf     .        (80)

Thus the total photolysis rate for formaldehyde is 2 x kf.  For the photo-
lysis  of ketones, we assumed that the rate constant is kf> as  was done in
the explicit mechansims.

     To condense all the aldehydes and carbonyls into one reaction,

          CARBONYLS + hv -»• RO^ + HO; + CO         kg] = k    ,    (81)
                                    215

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we define a variable a as the fraction of the total  aldehydes and ketones

that is formaldehyde and ketones:


                         [Formaldehyde] + [Ketones]      ,
                     a "      [Total Carbonyls]
      [Higher Aldehdyes]
" a " [Total  Carbonyl
                          Total Carbonyls J


     Defining CARB as the concentration of carbonyls (i.e., the sum of the

aldehyde and ketone concentrations), we can write:


            CARB + hv -^ a(H2 + CO) = aCO + aH2    ,                     (82a)


            CARB + hv •* a(H02 + HO^ + CO) = 2aH02 + aCO    ,            (82b)


            CARB + hv + (1 - a)(ME02 + X + H02 + CO)    ,               (82c)


Each of the above reactions represents the photolysis of the aldehydes

[Reactions (82a and 82b) represent formaldehyde, and Reaction (82c)

represents the higher aldehydes].  The sum of Reactions (82b) and  (82c)

is:


       CARB + hv + (1 + a)H02 + (1 - a)(ME02 + X) + CO   k82(J = k     .  (82d)


The rate constant for Reaction  (82d) is:


                          If -  \e    + k
                          K    K82b   K82c

                                   kf
where  k- - ak- and k    =  (1  -  a)--
 Theref ore ,
                                     216

-------
        Thus, we can write Reactions (82a) through (82d) as:

CARB + hv + H2 + CO                                 kg3 = akf     ,         (83)
CARB + hv + (1  + a)H02- + (1  - a)(ME02 + X) + CO     kg4 =  2-    kf    ,    (84)

   Note that in systems with pure formaldehyde, Reactions (83) and  (84) would
   reduce to Reactions (79)  and (80).  For systems with higher aldehydes
   and zero formaldehyde (a = 0), Reaction (83) would not occur, and Reaction
   (84) would reduce to Reaction (78).  By grouping ketones and formaldehyde
   as a, we can simulate the effect of the ketones in our present explicit
   mechanisms.   Reactions (83) and (84) can be further condensed to one equation:

                        CARB + hv -»• k +Ji  HOX
                                     3a + 1    2
                                                                           (85)
        The second major reaction of aldehydes is oxidation by hydroxyl  radicals

                           HO 2 + CO + H20    for formaldehyde
                                                                      •
            RCHO + OH- -»• \
                           ACOj + H20        for higher aldehydes

   Using our definition of a, we can write the oxidation reaction as one
   general  reaction:

  CARB + OH- ->• a(HO^ + CO) +  (1 - a)(AC03 + X)    kgg =  (2.4  - a) x 104  . (86)
                                      217

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Since a represents both formaldehyde and ketones, we assumed that the
carbonyl oxidation reaction (No. 86) approximates the actual ketone
oxidation reaction.

Treatment of Alky! Radicals

     In the discussion of alkylperoxy radicals in Section 5, we note the
following general reactions:

                  R02 + NO -> RO- + N02     ,

                  R02 + NO -»• Nitrates

                  RO- + 02 •* Aldehyde + H02


                                                                    (90)
                  L
                                                                    ,  .
                                                                    (88)
                                                                    (89)
                         02
                     RO- -»- HOROp     ,

                         °2
                     RO- -4 R'02- + Aldehyde    ,                   (91)

                RO: + HO: -»• Stable Products    .                    (92)
We have condensed these reactions as follows

                ME02 + NO -»• N02 + CARB + H02     ,                    (93)

                ME02 + NO -»• N02 + CARB + (ME02 + X)     ,             (94)

                ME02 + NO -»• Nitrates     ,                            (95)

               ME02 + HO^ -»• Stable Products    .                     (96)

     Reactions (90) and (91) occur in systems with carbon chains greater
than or equal to four (e.g., butane and  2,3-dimethylbutane).  The present
                                    218

-------
explicit mechanisms show that for butane and 2,3-dimethylbutane,  the amount
of ROp-type radicals formed per oxidation (via OH-  attack)  of the initial
hydrocarbon is greater than one.  Part of this oxidation is due to an
isomerization reaction (No. 90).  To account for the extra  ROp-type radi-
cals formed before HOo is generated, we have defined a new  parameter A,
which represents the average number of ROp-type radicals formed per initial
hydrocarbon oxidized until an HOp is formed.  For short-chain hydrocarbons
(i.e., carbon number less than four), A = 1.

     The 2, 3-dimethyl butane molecule predominantly  forms a  tertiary peroxy-
alkyl radical after reaction with OH-.  That radical  can react with NO to
produce NOp and a tertiary alkoxyl radical,  which in turn leads to one
more peroxy radical (according to our present explicit mechanism; see Table
21 in Section 5).  The HOp radical does not  appear  until this second peroxy
radical has reacted with NO to yield N02- Thus, A  = 2 for  2,3-dimethylbutane.

     The rate constants for Reaction (93), (94), and (95) are related
as follows:
              k93 + k94 + k95
The relationship between kg3 and kg. is derived from the sum of an infinite
geometric series.  For 2,3-dimethylbutane, using an A = 2 and ignoring
nitrate formation (kg5 = 0) implies that kg.  = kg3 .  Consequently, half the
time ME02 would be re-formed when MEOp reacts with  NO.   Therefore, the
cycle would be:

                      1 + — + — + — +     -?
                       '248*    *

     In computer simulations with detailed mechanisms,  we found that alkyl
nitrate formation from ROx + NO can be important in long-chain hydrocarbon
systems (Darnell et al., 1976a).  Thus, we included Reaction (95)  in the

                                   219

-------
Carbon-Bond Mechanism.  For simulations of small hydrocarbons,  we used  a
rate constant of 100 pprtf  min"   for Reaction (95).   For longer  chain
hydrocarbons (butane and 2,3-dimethylbutane), we assumed a value of
1000 ppm'^min"1.  For mixtures  of hydrocarbons, we assumed an intermediate
value of 500 ppm  min  , which produced nitrate levels in agreement with
the UCR measurements.
Treatment of Ethylene Chemistry

     Ethylene was grouped with aromatics in the original CBM.   Since we have
developed a separate scheme for aromatics, we now treat ethylene as a species
in its own class.  The ethylene chemistry consists of the same reactions as
the explicit ethylene mechanism given in Section 5.

Treatment of Internal Olefins as Carbonyls

     Detailed investigations of the trans-2-butene experiment have led us
to postulate the initial trans-2-butene/NO  experiments as essentially
                                          A
aldehyde/NO  experiments.  After approximately 60 minutes of an experiment,
           X
virtually all of the trans-2-butene has been oxidized.  Therefore, for
the Carbon-Bond Mechanism, we have assumed all of the initial trans-2-butene
to be carbonyls.  One trans-2-butene can be represented as two carbonyls.

     Two computer simulations with the CBM were performed, one using trans-
2-butene as the initial olefin  (Figure 58) and the other using trans-2-
butene as carbonyls  (Figure 59).  As shown in these figures, the results
of the simulations are essentially the same, except that the NO  crossover
                                                               /\
time is late in Figure 59.  When trans-2-butene is considered a carbonyl,
we lose some radicals associated with the trans-2-butene + 0( P) reaction
that are needed initially and possibly some early conversions of MO to ^ as
well.  By increasing the initial radical source "RX" slightly, we can shift the
NO  crossover to be more consistent with the observed data and the explicit
  J\
mechanism simulations.  The ozone-olefin reactions do not become important
because no trans-2-butene is left when the ozone forms.  For mixtures
                                    220

-------
CL
QL
et
oc.
S
    0.40
    0.30
    O.ZO
    0.00
    0.36r
    0.27
               50      100     150     ZOO     250    300    350
                              TIME, minutes
                          (a)   N02, NO, and
                                   400
 Q.
 D.
o
£  0.18
o:
g  0.09
    0.00.
               SO      100
150     200    250
 TIME, minutes

 (b)  Olefins
300    350    400
 Figure 58.   Simulation results of a  UCR trans-2-butene equipment
              (EC-146)  with the Carbon-Bond Mechanism

                                 221

-------
a.
D.
    o.ioor
    0.075
    0.050
LU

O
S  0-025
                                       X    *
    0.000
                             -  I  -
                50      100     150    ZOO    250


                               TIME, minutes



                                (c)   PAN





                         Figure  58  (Concluded)
.  i  _   -i	i

 300     350    400
                                    222

-------
 E
 Q.
 o.
(—
     O.IOi
     -0.301
     0.201
     0.101
                           -ND2
     O.OOj
                50     100     150     200    250    300    350

                               TIME,  minutes
                                    400
                            (a)   N02,  NO, and
    O.lOOi-
    0.0751
    0.0501
o

1   0.025)
    o.oooJ
                -I   _
                50      100
ISO     200    250

  TIME, minutes

  (b)  PAN
300    350    400
   Figure 59.   Simulation  results of a UCR trans-2-butene experiment
                (EC-146)  with the Carbon-Bond Mechanism (trans-2-
                butene  assumed to be a carbonyl)
                                 223

-------
containing internal olefins, the approximation of considering these olefins
as carbonyls should be even more valid.   However, the effect of adding
these olefins after ozone is present warrants further testing.   For the
current version of the CBM, we treated all internal  olefins present at the
beginning of an experiment as part of the carbonyls.

Rate Constants for the OLE + OH*  and PAR + OH-  Reactions

     Based on the study of the mulitolefin Run EC-150 with the original
CBM, we have concluded that the root-mean-square rate constant for OLE +
OH« reactions (and OLE + 0, OLE + O.J will produce the best agreement between
predictions and observational data for the multihydrocarbon/NO  systems.
                                                              /\
A similar but tentative decision has been made for the PAR + OH- (and PAR +  0)
reactions.

     Rate constants for the generalized species in the CBM are not always
easily defined.  For instance, the single-bonded carbon atoms in a mixture
of olefins would be treated in the CBM as PAR.   In such cases we used a
generalized or default PAR + OH-  rate constant of 1500 ppm" min" , which
was derived as discussed below.  To simulate pure methane or ethane systems
one should lower the PAR + OH- rate constant appropriately.

     As discussed by Whitten and Hogo (1977), grouping carbon atoms by bond
type normally reduces the range of rate constants to be treated in a mech-
anism.  By Greiner's (1970) formula, several alkanes (C. or larger) were
calculated to react with OH- at rate constants within about 30 percent of 1300
ppm" min"  per carbon atom.  For the original CBM Whitten and Hogo (1977)
therefore suggested 1300 ppm" min"  as a rate constant for all PAR + OH-
reactions.  We now suggest 1500 ppm" min"  as the universal PAR + OH« rate
constant.  The higher number reflects recent studies of some alkanes,
notably butane, that suggest higher rate constants than those calculated
from Greiner's formula (see Section 5 on butane chemistry).
                                    224

-------
     For the double bond species OLE in the CBM,  we  generally  used  the
rate constants for the corresponding reactions of propylene unless  specific
information on the rate constants was available.   For example, in a
comparison of CBM and explicit mechanism simulations of experiments started
with a mixture of four olefins (described earlier),  the rate constants
and relative concentrations of each olefin were available,  and so that
information was used in the simulations.

     In the explicit olefin mechanisms, we incorporated the reaction of the
hydroxyperoxyalkyl radical with ozone.  To include this reaction in the
CBM, it was necessary to use the surrogate species RA02 and RBOp for the
products of the reactions of hydroxyl radicals with  double  bonds.

A New Aromatic Chemistry Scheme

     Aromatic hydrocarbons are an important component of atmospheric hydro-
carbons (typically 20 to 30 percent of the total  NMHC).  Thus, our need for
a mechanism that adequately simulates the fate of the aromatics precludes
the option of waiting for an accurate explicit description  of  the chemistry.
Since a validated explicit aromatic mechanism similar in accuracy to those
available for propylene and butane does not exist, our efforts to produce
a condensed kinetic mechanism for aromatic compounds must be viewed as
conjectural.

     We analyzed the mechanism proposed by Hendry et al. (1978) as an
explicit description of toluene oxidation chemistry.  The basic structure of
toluene chemistry described by Hendry et al. (1978)  is similar to the Carbon-
Bond aromatic formulation, though their explicit  mechanism  is  much more com-
plicated.  However, their explicit mechanism does not satisfactorily describe
ozone formation and limitation.  Thus, we are forced to rely on empirical
relationships combined with our best speculations as to the true nature
of the chemistry involved.

     We base our description of the main features of aromatic  chemistry
on the following information:
                                   225

-------
     >  The UCR toluene smog chamber runs--EC-77 through EC-86
        and EC-264 through EC-273.
     >  The UCR seven-component mix runs--EC-231 through EC-247.
     >  A simulated diurnal cycle smog chamber experiment con-
        ducted by R. B. Stanfield (private communication, 1978)
        of Exxon Research and Engineering Company involving nine
        components (three aromatics x, 30 percent of the mix).

     The first-approximation mechanism described by Whitten and Hogo (1977)
contained reactions of aromatic hydrocarbons with 0- and NO,.   These reactions
were given rate constants considerably higher than the true rate of aromatic
reactions with these species so as to represent the reaction of the ring-
opened compounds that form from aromatic oxidation.  The species formed from
an opened aromatic ring are expected to behave as a highly unsaturated
diolefin with correspondingly high rates of reaction with 0- and NO.,.

     We have retained, at least temporarily, the convention of treating
aromatic bonds as three double bonds.  We assume that the ring in toluene,
like most other hydrocarbons, reacts initially with OH*.  We speculate
that the reaction proceeds as follows:

                    Toluene + OH- -> HC^ + Cresol    ,

                     Cresol + OH' •* HO^ + Z

where Z represents (or will lead to the production of) reactive, ring-
opened species.  The sum of these reactions is

                   Toluene + 20H- •»• 2HO£ + Z

     These reactions are represented in the CBM by two reactions involving
ARO (a two-carbon-atom species):

                        ARO + OH- + H02 + Y

                        ARO + OH- -» OH- + Y

                                    226

-------
The former reaction is given a rate constant twice as large as  the latter
so that their sum,

                      3ARO + 20H-  + 2HO;, + 3Y

corresponds to the sum of the two reactions discussed above.   Hence three
AROs represent a toluene molecule.  (The methyl  group in toluene is
treated separately as PAR in the CBM).   The three Ys are a surrogate for
the unknown, reactive species Z.  We treated Y as a species capable of
reacting with NO to effect an NO-to-NC^ conversion, similar to the inter-
mediate species XI, X2, X3, and X4 described by Hendry et al.  (1978).

                     Y + NO + N02 + HCHO + PAR

This arrangement provides somewhat greater parametric flexibility in esti-
mating the average number of NO-to-NCL conversions before the  atoms in the
aromatic molecule enter the carbonyl pool in the Carbon-Bond Mechanism.
Other reactions involving the ring-opened species Y represent  an electro-
phi lie addition to a highly unsaturated double bond:

                 Y + 03 ->• Aldehydes + Organic Acids    ,

                Y + N03 •*• Aldehydes + Nitric Acid

Similar reactions appear to be responsible for the restriction of ozone
formation noted in the UCR toluene experiments.  Note that the reaction
of Y with 0- is no longer taken to be a radical source, but rather an
03 sink.

     Y reacts in three different ways, and the ratios of the rate constants
for the three reactions determine the behavior of the system.   Using the
averages of the reaction rates for the reactions of 03 and N03 with 2,3-
dimethyl-2-butene and 2-methyl-2-butene (Japar and Niki, 1975), we found
that the rate constant for the reaction of Y with NO that provided good
simulations was quite low--only 20 ppm  min  .

                                    227

-------
SIMULATIONS USING THE NEW CBM

     The new version of the CBM was used to simulate a series of experi-
ments for which explicit simulations were available.  The results of these
simulations are presented in the appendix.  In each case, the results
should be compared with the corresponding simulation using the explicit
mechanism.  A sample CBM simulation for a four-olefin mix (EC-152) is
shown in Figure 60.  Table 35 lists initial conditions for the simulations
of this series of experiments using the new CBM.  Table 36 summarizes the
results of most of the simulations.  The results of simulations of toluene
experiments are not reported because the aromatic oxidation mechanism is
in a state of flux.  Graphs of simulated and observed pollutant concentra-
tions for all experiments are given in Volume 2.

     The derivation of the initial conditions presented in Table 35 is
described in detail here to provide some examples in the use of the CBM

     >  Formaldehyde--The explicit and CBM mechanisms in this case
        are identical except for the elimination of MONO and \\J^>2
        in the CBM.  The parameters a and A are set equal to 1.0,
        although the latter is meaningless for formaldehyde systems
        because no single-bonded carbon atoms are present.

     >  Acetaldehyde--The methyl group is considered as a single-
        bonded species, so the initial PAR and CARB concentrations
        are each equal to the actual measured acetaldehyde concen-
        tration.  Since some formaldehyde forms in this system a
        was set to 0.1 (during the explicit simulations formaldehyde
        varied from zero to 30 percent of the total aldehyde concen-
        tration).  The definition of A does not apply to acetaldehyde
        and so A was set to 1.0.  The experiments (EC-253 and EC-254)
        contained trace quantities of butane in order to monitor
        the OH- concentration.  In the CBM simulation butane was not
        treated as PAR.  Instead, in both the explicit and CBM simu-
        lations the reaction BUT + OH* -»•    was added with a rate
                                    228

-------
E
D.
D.
    0.75
    0.50
UJ
o

I
    0.00
              50     100    ISO    ZOO     250

                              TIME, minutes


                               (a)  0,
300
350
400
CL
Q.
    0.52 r
    0.39
    0.26
o

|  0.13
    o.oo
                                 IK  *. w t ft tft Nf ** *
              50     100    150    200     250     300     350    400

                              TIME, minutes


                             (b)  N02 and  NO
    Figure 60.   Simulation results of an  UCR multiolefin experiment
                 (EC-152)  with the Carbon-Bond Mechanism
                                229

-------
   1.20r
E  0.90
Q.
CL
   0.60
8 0.30
   0.00
                                                          * M
                     j	I
              50     100
150    200    250

  TIME, minutes


  (c)  Ethylene
300    350     400
   0.24r
  .
 Q.

 »

g

   0.12
LlJ
O
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    0.00
              ..I   _   I.
              50     100     ISO     200    250

                              TIME, minutes


                                (d)  PAN



                           Figure 60 (Concluded)
                      300    350     400
                                  230

-------



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                                      234

-------
   constant of 4200 ppm" nrin"  ,  and the  products  of  butane
   oxidation were ignored.   (Butane constituted  roughly  1 per-
   gent of the initial  hydrocarbon.)  The default rate constant
   for PAR + OH of 1500 ppm" min"  , discussed  earlier in this
   section, was used in the CBM  simulations.
>  Ethylene--As for formaldehyde,  the CBM  and  the  explicit mech-
   anism are virtually identical.   The parameters  a  and A are
   both 1.0.  The only real  differences in chemistry are a minor
   pathway to acetaldehyde production and  HONO,  hUOp.  and 0( D)
   chemistry, which appear only in the explicit  mechanism.  Trace
   amounts of acetaldehyde were reported by UCR, which accounts
   for the minor initial  concentrations of PAR listed  in Table 35.

 >  Propylene--The initial  concentrations of PAR  and  OLE were
   set equal to the initial  propylene concentration  used in
   the explicit propylene  simulations.   Where  minor  amounts
   of initial aldehydes were reported by UCR,  small  additions
   to the initial concentrations of PAR and CARB were  made for
   the CBM simulations.  The parameter a was set at  0.5 and
   again A was set to 1.0, since it does not apply.

 >  Butane—To model butane with the CBM we needed  to determine
   a and A plus the rate  constant  for the  reaction of  alkylperoxy
   radicals with nitric oxide to produce nitrates  relative to the
   total rate constant. The initial  PAR concentration was simply
   four times the molecular concentration  used in  the  explicit
   simulations.

   The value of a used was 0.5 because in  the  explicit simulations
   the sum of formaldehyde and ketones  was typically about one-
   half of the total  simulated carbonyl  concentration.  A is the
   average number of RO^-type radicals  generated following an
   OH-  oxidation unitl  an  HO^ is formed (counting only the R0«
                              235

-------
reactions with NO which form N02).   For the butane explicit
mechanism A = 1.32, which is calculated as follows:  The initial
OH- attack gives two RO^-type radicals (SCO:, and C-Op  in a six-
to-one ratio.  SCOx forms a secondary alkoxyl  radical  (SCO-)
after reaction with NO.  One-fourth of the SCO-  produces another
R0~ (plus acetaldehyde) via decomposition and three-fourths
produces H0£  (plus methylethylketone).  The average number of
RO^-type radicals from butane by the SCO^ pathway is [(1/4) x 2 +
(3/4) x 1 = 1.25].  C40£ produces C40- after reaction with NO.
C.O- then reacts to produce an RO^ via OH- migration and an
HO;, (plus butyraldehyde) in a 20-to-7 ratio.  The average number
of RO^-type radicals for the C40£ pathway is 1.74 [(20  x 2 + 7  x  I)/
27 = 1.74].  Since the ratio of SCOx to C.Op production is six,
the overall average A for butane is 1.32 [(6 x 1.25 + 1 x 1.74)/
7 = 1.32].

Comparison of CBM simulations with the simulations using
the current explicit chemistry is not straightforward.
As discussed  in Section 5, the explicit butane mechanism
uses a rather high photolysis rate constant for the major
oxidation product of butane, methylethylketone.  Further-
more, one of  the products of that photolysis is taken to
be the peroxyacetyl radical.  (The CBM equivalent would
be AGO.,, which is not presently a product of carbonyl
photolysis in the CBM.)  Besides the higher PAN concentra-
tion that this type of radical provides in the explicit
chemistry, its reaction with NO provides one more NO-to-
NOo conversion than an RO^-type radical provides.  Hence
there is some extra reactivity in the explicit mechanism
that has no direct counterpart in the CBM at present.  As
interim measures, we investigated two possible means of pro-
viding this extra reactivity.
                            236

-------
One means is the use of the default PAR + OH-  rate constant
(1500 ppm" min~ ), rather than one-fourth of the actual
butane + OH- rate constant (4200/4 = 1050 ppm^min"1).   The
simulations shown in this report use 1500 ppm" min" .   It
is partially justified by the formulation of the CBM,  in
which single-bonded carbon atoms react independently.   In
the explicit chemistry, a four-carbon species  reacts  to
yield primarily methylethylketone (MEK).  The  secondary
single bonds in MEK have a rate constant for reaction  with
OH- of 4900 ppnf min" .  Since the CBM conceptually keeps
these single-bonded carbon atoms in the PAR pool,  a rate
constant of 1050 ppm" min"  for all PARs would be  too  low.

The other means of providing the extra reactivity is the
use of the  default value of A  (1.5) rather than the value
computed from  the explicit mechanism (1.32).  With the
default value  of A the lower PAR + OH* rate constant,  1050
ppm" min"  , is used.  This method of providing the extra
reactivity  might be justified  on the grounds that it does
not require knowledge of an explicit mechanism (which may
be erroneous)  and it is certainly straightforward and
simple.  However, the good agreement between the simula-
tions with  the default value of A and the measurements
may merely  be  fortuitous.
 l-Butene--The CBM simulation of this molecule is a simple
 extension of the propylene simulations.  The OLE + OH«
 rate constant was set equal to the value used in the
 explicit mechanism for 1-butene (70,000 ppm" min" ).  The
 a  and A values were the same as used for propylene, 0.5
 and 1.0.  The initial PAR concentration for 1-butene is
 twice the molecular concentration because two single-
 bonded atoms are contained in the molecule.
                            237

-------
>  Trans-2-butene—The CBM was applied in two different  ways
   to the single trans-2-butene experiment (EC-146).   The
   internal double bond was treated in one case as  an  olefin
   and in the other as two carbonyls.   (In the explicit
   simulations trans-2-butene reacts rapidly to generate
   two molecules of acetaldehyde.)   In both cases  the  two
   single-bonded carbons were treated as  PAR.   In  treating
   trans-2-butene as an olefin we  used the same rate constants
   used for 1-butene, except that  the rate constants for the
   reactions of CLE with 0, OH-, and 0., were set equal to those
   used in the explicit trans-2-butene mechanism (28,000, 120,000,
   and 0.39 ppm~ min~ , respectively). The value  of c< used in
   both cases was 0.2 because in the explicit simulations form-
   aldehyde made up from zero to forty percent of  the  total
   carbonyls.  The choice of a does not seriously  affect the
   simulated ozone concentration,  but it  does affect the PAN
   results.

>  2,3-Dimethylbutane--The simulation of  EC-169 used an  a of  0.5
   and an A of 2.0; the derivation of latter value was pre-
   sented earlier.  Using the default value for a  is somewhat
   arbitrary because the dominant carbonyl compound produced
   in the present explicit mechanism is acetone.  Most of the
   PAN produced in the explicit simulation stems from  acetone
   photolysis, but such a pathway does not exist in the  present
   CBM.  The PAR + OH- rate constant used was the default value
   of 1500 ppm" min"  , as was used for the butane simulations
   just described.  An important reaction In the CBM simulation
   of 2,3-dimethylbutane is nitrate formation from peroxy
   radicals, which was given a rate constant of 1000 ppm" min"
   to match the nitrate production in the explicit simulation.

>  Propylene/Butane--In this application of the CBM we combined
   the parameters used for propylene and for butane.   The initial
                             238

-------
   concentration  for PAR was  four times  the molecular concentra-
   tion of butane plus  the  molecular  concentration of propylene.
   Since the PAR  + OH-   rate  constant used in simulations of both
   species was  1500 ppnf min" ,  the combination presents no problems.
   Similarly, 0.5 was used  for a in the  separate systems and in the
   combination.   To determine a  "proper"  value for A seems some-
   what complex.   However,  the introduction of the RAO'2 radicals
   into the new formulation of the CBM to account for the special
   addition product of  OH-  to olefins eliminated a major source
   of the surrogate RO^ radicals in the  original CBM.  This change
   in chemistry tends to separate the overall olefin chemistry from
   the paraffin chemistry with respect to RO^-type radicals.  Hence
   we chose a value of  A equal  to 1.25,  which is  near  the value
   for butane of 1.32.   Similarly, the rate  constant for nitrate
   production was set at 800 ppm~ min"  (somewhat  less  than the
   value for butane of  1000 ppm" min" ).

>  Multiolefins--The initial  conditions  for  the  simulations of
   four olefins were determined  by treating  ethylene separately,
   trans-2-butene as two carbonyls and two PARs  per molecule, and
   1-butene and propylene as one OLE  and two PARs  and  one OLE
   and one PAR, respectively.  Since  both 1-butene and  propylene
   were treated as OLE, the OLE  + OH- rate constants used were
                                                  4     -1   -1
   the weighted root-mean-square values  of 6.2 x 10  ppm  min
                          4    -1   -1
   for EC-152 and 6.6 x 10  ppm  min    for EC-153.  The parameters
   a and A were set at  0.5 and 1.0.   The default value  of a was
   used because it should be appropriate for mixtures.  The value
   of A does not matter because  no aliphatic chains greater than
   two carbon atoms are present.  The absence of long  aliphatic
   chains is also the reason that the rate constant for nitrate
   formation from R0£ + NO reactions  was set to  only 100 ppm" min"1.
   A CBM simulation of  an experiment  with a  four-olefin mix is
   shown in Figure 60.
                              239

-------
> Toluene—The aromatics mechanism was in a rapid state  of develop-
  ment as this report was written.  Therefore the simulations
  of the UCR toluene experiments represent a sampling of current
  progress rather than a final  demonstration of the mechanism.
  Slightly different versions of the CBM were used for the toluene
  and the seven-hydrocarbon simulations.  The mechanism for the
  latter is shown in Table 34.   For toluene the total ARO + OH-
  rate constant was 8000 ppm" min" , of which 5000 ppm" min~  then
  reacted to produce HOX.  The rate constant used for NO + Y ->
                                                      -1   -1
  N00 + 2 x CARB in the toluene simulations was 20 ppm  min  .
    2                                                         4
  For the Y + NO-, reaction the rate constant used was 2.5 x 10
       'min"1 with the products being HN03 + CARB.  For the
  Y + 00 reaction the rate constant used was 2 ppm" min"
  with the product being 0.5 x CARB.  An additional reaction,
  Y + 0 ->• ACOi + ME09, was included with a rate constant of
          5-1    i
  6.0 x 10  ppm  min"1.
  The aromatic mechanism was tested using some toluene data from
  UCR.  Rather high photolysis rate constants were required to
  obtain the agreement shown in the appendix (Volume 2).  Figure 61
  shows the simulation results for EC-80.  Further work on the
  aromatic mechanism is under way to allow similar photolysis rate
  constants to be used for the carbonyls formed from aromatics
  and those formed from olefins and paraffins.

> Seven Hydrocarbon Mixes—Each of the 11 smog chamber experi-
  ments used the same hydrocarbons:  ethylene, propylene, trans-
  2-butene, butane, 2,3-dimethylbutane, toluene, and xylene.
  Three basic mixes were used:  an intermediate mix intended to
  resemble an urban mix; a mix high in paraffins but low in
  aromatics; and a mix low in paraffins but high in aromatics.
  Tables 37 and 38 summarize the initial conditions used in
  the simulations.  In all simulations a and A were set at the
  default values we recommend for hydrocarbon mixes, namely
  0.5 and 1.5.  The only rate constant varied over the eleven

                             240

-------
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      Figure 61.    Simulation Results of a UCR Toluene Experiment  (EC-80)
                    with the Carbon-Bond Mechanism
                                  241

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                                    242

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experiments was for nitrate formation via the ROX + NO
reaction.  For the high paraffin mix (EC-232, EC-233, and
EC-246) a value of 1000 ppm" min"  was used, but in the other
e'ight simulations a value of 500 ppm" min"  was used.
Initial values for the CBM species were determined as follows:
Ethylene was treated as ethylene, OLE was set equal to the
reported molecular propylene concentration, CARB was twice
the reported molecular concentration of trans-2-butene plus
any reported initial carbonyls, and PAR was the sum of four
times the reported butane concentration, six times the
reported 2,3-dimethyl butane concentration, the reported
propylene concentration, twice the trans-2-butane concentra-
tion, the toluene concentration, and twice the xylene concen-
tration.  ARO was three times the molecular concentrations
of toluene and xylene.  The only rate constant involving the
initial hydrocarbons that had to be determined was for ARO +
                                  4    -1   -1
OH-, for which a value of 2.4 x 10  ppm  min   was used.
This value is approximately the weighted root-mean-square
between the rate constants for the reactions of m-xylene
and toluene with OH-.  The ARO + OH* reaction, as discussed
above, was assumed to yield H0| approximately two-thirds
of the time.

A photolysis compatibility problem is demonstrated in the
simulations of mixtures containing seven hydrocarbons.  As
shown in Table 38, we had to use almost twice the calculated
aldehyde photolysis  rate constant for the four high-aromatic
experiments.  Figures 62 and 63 show sample simulations of
low aromatic concentrations (EC-233) and high aromatic con-
centrations (EC-245).  Table 36 shows the one-hour-average
N02 and 03 maxima.
                            245

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                     300    350    400
        Figure 62.    Simulation results  of a UCR seven-hydrocarbon
                      experiment (EC-233) with the Carbon-Bond
                      Mechanism (low  aromatic mixture)
                                 246

-------
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                          Figure 62  (Continued)
300
350
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                                 247

-------
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                          Figure 62  (Continued)
                                     300     350    400
                                   248

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                           Figure  62 (Concluded)
                                   249

-------
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                            300
350
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                         TIME, minutes

                           (b)  PAN
                            300
350
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  Figure 63.   Simulation results of a  UCR  seven-hydrocarbon
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               Mechanism (high aromatic mixture)
                           250

-------
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              50     100    ISC    200     250

                             TIME, minutes

                             (d)   Paraffins
300
350
400
                         Figure  63  (Continued)
                                 251

-------
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               50     100    150    200     250

                               TIME, minutes

                               (f)  Ethylene



                           Figure 63  (Continued)
300    350
400
                                 252

-------
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                          Figure 63  (Concluded)
                                  253

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                                SECTION 7
                 SIMULATION OF PROPYLENE/NOX EXPERIMENTS
                          IN SEVERAL SMOG CHAMBERS
INTRODUCTION
     A major part of the current contract calls for studying the simulations
of similar propylene/NO  experiments performed in different smog chambers.
                       A
The reasons for such a study are twofold:

     >  To elucidate chamber effects.
     >  To expand the data base used to validate explicit and
        generalized kinetic mechanisms.

As defined here, chamber effects include any effect that would produce
different results from similar experiments in different smog chambers or
from a hypothetical well-mixed air parcel in the open air compared with
a smog chamber.

     Although the study will continue for another year, the results at this
time indicate four areas of chamber effects:  analytical, wall, temperature,
and lighting.  The analytical effects lead to experimental uncertainties
rather than to the difference between smog formation in chambers compared
with the open atmosphere.  Such effects would be common to virtually any
comparison of similar experiments performed using different equipment.  How-
ever, these effects are discussed because the uncertainties in the measure-
ments are often large enough to mask the other differences among smog chambers
Wall effects may be the most commonly considered type of chamber effects.
Indeed, one might argue that wall effects constitute the only real difference
between a smog chamber and the open atmosphere (at least for small, well-
mixed air parcels).  However, the preliminary findings of the present study
                                    254

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indicate that wall effects play only a minor role in most smog  chamber
experiments.  Refinement of kinetic mechanisms  has greatly reduced  the need
to hypothesize radical  sources or sinks on chamber walls  to obtain  simula-
tions in "agreement with measurements.

     The latest mechanisms show a very high sensitivity to spectral  distri-
bution (Whitten and Hogo, 1977).  Hence, application of these mechanisms
to the atmosphere or to various chambers requires a careful assessment of the
spectral distribution.   Although present kinetic mechanisms are highly sen-
sitive to spectral effects, they do not respond to changes in temperature
adequately enough to simulate similar smog chamber experiments  performed
at different temperatures.  A case can still be made that wall  effects
explain some of the temperature effects.  Lowering the wall temperature might
condense radicals or aldehydes, thereby slowing smog formation, and  raising
the temperature might condense fewer radicals or aldehydes.  A  higher tem-
perature might also cause radical precursors such as aldehydes  form  previous
experiments to "boil off" the walls and to accelerate smog formation.

     If chamber effects can be elucidated sufficiently, the expanded data
base to be used for developing and validating smog mechanisms will  provide
a more rational basis for acceptance of generalized mechanisms  for  modeling
the atmosphere.  In Section 3 we described the overall mechanism as  composed
of four stages:  inorganics, single-carbon-atom species,  higher aldehydes
and other partially oxidized hydrocarbons, and initial hydrocarbons—paraffins,
olefins, and aromatics.  Presumably, the chamber effects  would  mostly be
common to the hierarchical levels below hydrocarbons.  Hence, the study of
chamber effects for propylene/NO  experiments should be applicable  to smog
                                /\
chamber experiments using other initial hydrocarbons.  Of course, hydrocarbon-
specific chamber effects may occur; an example is toluene since poor account-
ing for carbon mass is common to smog chamber experiments using toluene.

DEVELOPMENT OF A DATA BASE

     Several factors must be considered in the development of a data base
for the chamber effects study:

                                    255

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Initial pollutant concentration
-  [CH^ - 10
-  [NO 1  <.  2 ppm.
 -     A
-  Data from experiments at many different initial concen-
   trations should be supplied if possible.
Light source
-  Type (e.g., blacklights or xenon arc).
-  Spectrum (preferably measured—otherwise  manufacturer's
   specifications).
-  Intensity in chamber (k,, k., or other  photometric
   measurements, including the most recent measurement
   reported before each experiment).
-  Age of light sources before each experiment  (average  age
   and spread in ages for multiple sources).
-  Operating temperatures of fluorescent light  sources.
Analytical methods
-  Listing of instrumentation used for the actual  experiments
   reported.
-  User's estimates of accuracy in the measurements.
-  Corrections applied for interferences with measurement
   methods, if any.
-  Documentation of the most recent calibration before each
   experiment, the calibration method, the number of points
   on the calibration curve, and the concentration at each
   calibration point.
Chamber cleaning and seasoning
-  Method of cleaning.
-  Deliberate seasoning method, if any.
-  Number and general type of experiments  since the last
   cleaning (to evaluate the possible action of the walls
   as contaminant sources).
-  Most recent "light" and "dark" ozone decay data before
   each experiment.
                            256

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     >  Mixing time (should be determined with lights  on  if
        possible—otherwise, use mixing data  without lights).
     >  Chemical data (data for all  chemical  species measured
        during each experiment, preferably in tabulated form,
        or else graphical presentations).
     >  Miscellaneous data (variations during the run  when
        known—otherwise use of chamber operating temperatures,
        humidity (RH or dewpoint),  and dilution rate).

     One of the decision factors in  the choice of the  data  base is the
availability of the data.  Much of  the data were reported in graphical
form, and chamber characteristics were often  obscure.  Furthermore, uncer-
tainty ranges were not reported for some of the chamber runs.  The following
runs were chosen based on availability and the other factors mentioned above:

     >  UCR-EC (Runs 121, 177).
     >  UNC (runs performed on 9 August 1975, 5 November  1976,
        and 8 August 1977).
     >  Research Triangle Institute  (RTI) (runs performed on
        11 October 1976).
     >  Battelle (S-019, S-114, S-115).
     >  National Air Pollution Control Administration  (NAPCA)
        (156, 164, 172).
     >  UCR-AGC (runs performed on  24 February 1973  and
        5 March 1973).
     >  CALSPAN (11, 15, 16).
     >  Lockheed (40, 41, 42, 43).

     Of the eight facilities listed  above, UCR provided the most  detailed
discussion of experimental conditions.  The 5775-liter UCR  chamber is an
evacuable cylinder (EC) coated with  FEP Teflon 3.66  m  long  and 1.37 m in diameter.
There are quartz windows on each end of the chamber.   The surface-to-volume
ratio is 0.054 cnf .  The irradiation source  is a xenon short arc lamp
                                   257

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that uses 25 kilowatts (Pitts et al.,  1977).   Two  repeated  runs  (EC-121
and EC-177) were chosen from nine UCR runs with the same  initial  concen-
trations because the uncertainty of  the reported light intensities  seemed
to be the" lowest for those experiments.  (The light source  had been
replaced just before each of those experiments.)  Sampling  techniques
should be more certain in those runs  than in  earlier runs,  mainly because
of the experience gained from previous experiments.

     The University of North Carolina and Research Triangle Institute  both
have outdoor smog chamber facilities.   The UNC facility consists  of two
compartments (red side and blue side), so that two experiments can  be  per-
formed simultaneously.  Each side is  an A-shape frame (9.14 m wide, 6.1 m
high at the peak, and 12.19 m long)  with walls made of FEP  Teflon film
(Jeffries, Fox, and Kamens, 1975).  The volume of the chamber is  3.1 x 10
liters.  The surface-to-volume ratio is 0.013 cm"  .  Of the alternatives
for which detailed data were available, five  are propylene/NO experiments.
                                                             X
One set of experiments, performed on 16 August 1975, had  continuous injection
of propylene and NO in the blue side of the facility but  not the  red side.
This set of experiments will be investigated  in the coming  year.  For the
current study, we chose four experiments (one on 9 August 1975,  two on
5 November 1976, and one on 8 August 1977) as part of the data base for the
chamber effects study.  The use of natural sunlight as the  irradiation source
increases the need for spectral measurements  of the sunlight during the day.
Jeffries, Fox, and Kamens (1975) reported an empirical relationship between
the N02 photolysis rate and the total solar radiation.  From the total solar
radiation measurements by UNC for the days of the experiments, we were able
to estimate the N0~ photolysis rate  constant and all other  photolysis rate
constants required in the propylene/NO  kinetic mechanism.
                                      A

     The  RTI  facility  is  similar  to the  UNC  facility.  RTI  has four separate
chambers  that  allow four  experiments  to be carried out simultaneously.  The
surface-to-volume  ratio  for  each  chamber  is  0.019  cm"  .  We received data
on two sets of four experiments performed at RTI on 6 October and  11 October
1976.   These  experiments  were carried  out for  35 hours.  The data  from
                                    258

-------
experiments on 6 October 1976 are questionable because a correction  factor
for the ozone measurements was needed to compensate for insufficient sample
flow rates.  In the set of experiments performed on 11 October 1976, no
ozone was formed in Chamber 1.  Therefore, only three experiments  could  be
used as part of the data base for our chamber studies.  For the RTI  experi-
ments, we assumed the same total solar radiation as for the UNC experiments,
since the facilities are located in the same area.

     The Battelle chamber is constructed of aluminum and is Teflon-coated
(Scofield, Levy, and Miller, 1969).  The  18,272-liter smog chamber has a
surface-to-volume ratio of 0.026 cm"  and is irradiated with fluorescent
blacklights.  Data for only three propylene/NO  experiments were received
                                              y\
from Battelle.  The reported experimental  conditions are detailed  enough
that we were able to perform simulations of all three experiments, but we
had to assume a blacklight spectrum.

     The National Air Pollution Control  Administration chamber was a 9500-
liter chamber made of aluminum with Mylar windows (Korth, 1963).   It was
irradiated with fluorescent blacklights.  Data for  six propylene/NO   experi-
                                                                  A
ments performed at NAPCA were available to us.  The only intensity spectrum
for the light source available to us was reported by Korth, Rose,  and
Stahirvm (1964).  The propylene/NO  experiments were performed in 1965, one
                                 A
year later.  Thus, the uncertainty in the light spectrum is great.

     The 6370-liter UCR all-glass chamber (AGC) is  made of Pyrex glass and
is similar in size to the evacuable chamber (Pitts  et al., 1977).   Its
surface-to-volume ratio is 0.0324 cm~ .   The glass  chamber is irradiated with
fluorescent blacklights.  Two runs from the UCR glass chamber were chosen
solely on the basis of data availability.  Since the available data were
limited, we had to assume a blacklamp spectrum for these experiments
based on the reported k. value.

     The smog chamber at CALSPAN is a cylindrical chamber 9.14 m in
diameter and 9.14 m high, with a surface-to-volume ratio of 0.0066 cm"1
                                   259

-------
(Kocmond et al., 1973).   The walls of the chamber are  coated with  a  fluoro-
epoxy urethane having surface energy and reactivity properties  similar  to
FEP Teflon.  The light source consists of 24 lighting  modules,  each  con-
taining two 40-watt sunlamps, eight 85-watt high  output  blacklamps,  and
two 215-watt specially produced blacklamps.  The  measured  N00 decay  rate
                 _1                                        C-
(k ,) was 0.35 min" .

     Of the seven propylene/NO  experiments performed  at CALSPAN from
                              /\
21 October 1974 to 3  January 1975, raw data for two experiments (Nos. 15
and 16) were available to us.  Initial conditions and  concentration  versus
time plots were reported for Experiments 11 and 14. Only  concentration
versus time profiles  were reported for the other  three experiments (Nos. 10,
12, and 13).  For the computer simulations, we chose Experiments 15  and 16
because of the detailed data on them.  We chose Experiment 11 but  not
Experiment 14 because a new reactive HC analyzer  was used  with  Experiment 14.
We feel that the errors associated with the use of a new instrument  may be
greater in Experiment 14 than the errors associated with an instrument
already used in the earlier Experiment 11.

      The  1866-liter  hexagonal  smog  chamber at  Lockheed  (Jaffe  and Last,
 1974) is  made  of  six flat  side  panels with Teflon-coated aluminum frames.
 The surface-to-volume ratio varies  depending on  the material  used and  the
 initial conditions of the  experiments;  the surface-to-volume was 0.047 cnf
 when Teflon was  used.  The light source in the Lockheed chamber is  a xenon
 arc lamp  with  a  spectrum reported by Jaffe and Last (1974).  Propylene/NO
                                                                         3\
 experiments under various  chamber conditions were  performed, including
 different wall  materials,  surface-to-volume ratios, and cut spectrum (280
 to 350 nm light removed).   We chose four experiments  (Nos. 40, 41,  42, 43),
 all performed  with Teflon-coated walls  and a  surface-to-volume ratio of
 0.043 cm.   Both conditions are similar to the  UCR evacuable  chamber.   Two
 of the Lockheed experiments (Nos.  40 and 41) were  performed with a  cut
 spectrum  ranging  from 350  to over 500 nm.   (The  full  spectrum  ranges from
                                     260

-------
280 nm to over 500 nm.)  These experiments provide comparison runs  for exam-
ining the effects of aldehyde photolysis and ozone photolysis in the propylene
kinetic mechanism because both photolysis reactions are significant only  in
the 280 to 340 nm range.

     Thus, the data base tor the chamber study consists of at least two to
three experiments in each of eight smog chambers.  For many of the  cham-
bers, data were available only for the two or three experiments chosen.
The most important uncertainty in nearly all of these experiments is
the spectrum of the light source.  Since we did not have light spectra
for the Battelle, CALSPAN, RTI, and UCR glass chambers, we assumed
representative spectra.  Table 39 summarizes the data base for the
chamber study.

THEORETICAL ANALYSIS OF PARTICLE FLOW IN THE SMOG CHAMBER

     Before performing computer simulations for each of the experiments
listed above, we investigated theoretical  aspects of particle flow  in smog
chambers and particle collision frequencies with chamber walls.   The pur-
pose of this effort was to develop a deeper understanding of wall effects.
After the effects of chamber geometries and stirring procedures  are isolated,
the way will be cleared for investigating the role of light sources and the
chemistry of various reactive intermediates.

     We begin by deriving a picture of the transport of materials to the  chamber
walls, and then we use this description as a first step in assessing the
relative importance of wall effects on gas-phase chemical reactions.
Ideally, such an assessment would be based on knowledge of an experimentally
determined decay constant for each of the i reacting species.  Detailed
measurements of the transport properties (temperature, concentration, and
velocity profiles) would then provide input to some transport description
obtained by complete solution of the coupled equations of continuity,
motion, and energy for the entire system.   In practice, these ideal condi-
tions are compromised in one or both of the following ways:
                                     261

-------
      TABLE  39.    SUMMARY  OF DATA BASE  FOR CHAMBER EFFECTS STUDY
Chamber
UCR-EC

UNC blue
UNC blue
UNC red
RTI-2
RT1-3
RTI-4
Battelle


NAPCA


Lockheed



CALSPAN


UCR-AGC

Initial concentration (ppm) ,
Run no. 	 "^ — ^ lmin~ 1
or date Propylene NO, *d ' " '
121
177
8/9/76
11/5/76
11/5/76
10/11/76
10/11/76
10/11/76
S-019
S-114
S-115
156
164
172
40
41
42
43
11
15
16
2/23/73
3/5/73
0.483
0.493
0.66
1.15
0.43
0.786
0.421
0.389
1.52
0.95
0.97
2.06
1.85
2.04
3.0
3.0
3.0
3.0
1.0
1.0
1.0
0.52
0.50
0.51
0.463
0.41
0.554
0.526
1.57
0.519
0.468
0.552
0.449
0.525
2.06
0.99
0.99
1.5
1.5
1.5
1.5
0.59
0.50
0.50
0.30
0.255
0.3*
0.33*
Variable
Variable
Variable
Variable
Variable
Variable
0.3*
0.38*
0.38*
0.4
0.4
0.4
0.3
0.3
0.3
0.3
0.35
0.35
0.35
0.35
0.35
Light source
25 kU solar
simulator
25 kW solar
simulator
Sunlight
Sunlight
Sunlight
Sunlight
Sunlight
Sunlight
Blacklight
Blacklight
Blacklight
Blacklight
Blacklight
Blacklight
Xenon arc
Xenon arc
Xenon arc
Xenon arc
Blacklioht
(mainly)
Blacklight
(mainly)
Blackllaht
(mainly)
Blacklight
Blacklight
Chamber
material
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Aluminum and
Teflon
Aluminum and
Teflon
Aluminum and
Teflon
Aluminum and
plastic film
windows
Aluminum and
plastic film
windows
Aluminum and
plastic film
windows
Teflon
Teflon
Teflon
Teflon
Fluoroepoxy
urethane
Fluoroepoxy
urethane
Fluoroepoxy
urethane
Glass
Glass
Surface-to-
volume ratic
(cm'1)
0.034
0.034
0.013
0.013
0.013
0.019
0.019
0.019
0.026
0.026
0.026
--
—
--
0.043
0.043
0.043
0.043
0.0066
0.0066
0.0066
0.0324
0.0324
Ozone measuring
' instrument or
method
Dasibi 1070
Dasibi 1070
Chemi luminescent
Chemi luminescent
Chemi luminescent



Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
McMillan 1100
McMillan 1100
McMillan 1100
McMillan 1100
Chemiluminescent
(Bendix 8002)
Chemiluminescent
(Bendix 8002)
Chemiluminescent
(Bendix 8002)
Dasibi 1003
Dasibi 1003
* Value of k, rather than
                                     262

-------
      >  With few exceptions,  no data  on the concentrations of
        reactive intermediates  are available.   In  particular,
        there is a paucity of information  on the decay  rates
        of any  individual  species  in  unirradiated  chambers.
      >  The transport properties of most chambers  are inade-
        quately characterized,  especially  in terms of temperature
        and velocity profiles,  to permit input to  a  sophis-
        ticated transport description.

     In view of the points above, we  devised the hiqhly simplified  picture
of transport within chambers  described  below,  which  has as inputs quantities
that are either already available or  easily measurable.   The validation of
this picture for the transport  of ozone to the walls and the results of
applying it to the eight smog chambers  are discussed later.

Reactant Transport Inside Smog  Chambers

     The objective of the transport description is to relate the observed
concentration c. of reacting species  i  to  its  rate of removal  by the cham-
ber walls.  The approach consists of assuming  the  existence of a stagnant
boundary layer of thickness 6 at the  chamber walls;  since the  layer is
associated with the convective motion of the air,  6  depends on the  local
air velocity; and consequently, at a  distance  of 6 or greater  from  the
wall the velocity component parallel  to the wall is  assumed to be V ,
                                                                   co
which is to be determined experimentally or deduced from mixing time
data.  Transport to the wall  is considered as  though the wall  were  a semi-
infinite flat surface, with the x-direction parallel to the surface.  Some
physical grounds exist for this approach (see  Figure 64). The solution
for 5(x) (Bird, Stewart, and Lightfoot, 1960)  is:

                        5(x)  =  4.64 (vx/V  )1/2    ,                  (97)
                                        CO
                                                          2     1
where v is the kinematic viscosity of air  (taken as  0.15 cm  sec ).
                                   263

-------
  VELOCITY  IN X-DIRECTION  =  V
                    BOUNDARY  LAYER  6(X)
                    VELOCITY  IN X-DIRECTION AT SURFACE  = 0
 (a)   Boundary  layer around a  thin,  semi-infinite  flat surface
                                           BOUNDARY  LAYER  fi(x)
I I t I I I I I I I I I I I I I I I I I I I I  I  I  I  I  I  I  I  I  I  I
                                                     SMOG  CHAMBER  WALL
(b)   Boundary layer caused by circulation  of air,near  the  smog
     chamber wall
                Figure 64.    Simplified boundary  layers
                               264

-------
   A velocity profile,
                    \r= 2
(98)
where y is the distance above the plate, was  assumed  in  calculating
the solution above.   Computation of 6(x) thus  reduces  to finding an
expression for x/V^.   We chose x to be  a characteristic  length whose
physical significance is shown in Figure 65.   We approximate V  by
                              x'/t .
                              * /T-mix
(99)
 where  t .   is  the  mixing  time  in the chamber and x1 is the length
        mix
 within which mixing is  presumed to occur  (i.e., the longest dimension
 of the chamber).  We set x' = x (Figure 65), yielding
                                    J/2
                                                                   (100)
where <5 is in cm and t .  is in seconds.  It is then straightforward to
                      III I /\
describe the transport and wall reaction of species i by using the coordi
nate system of Figure 66.
                                       SMOG CHAMBER
        Figure 65.   Characteristic lengths  in  smog  chambers.
                     Arrows  represent air circulation from
                     convection or  stirring.
                                   265

-------
                                i  =  ci
                                                         z = 0
               BOUNDARY
                LAYER
     V = 0
                               C.  -
              I  I  I  I  I   I   I   I   I   I   I   I   I   I
Z = 6
              Figure  66%   Transport  to  the chamber walls

    In the discussion below, we  adopt the  following notation:
         N.  =  flux of species  i  in  the  z-direction,  in molecules
          1      -2   -1
              cm  sec  ,
                                                     _3
         c  =  total  gas concentration,  in molecules  cm   ,
         c.  =  local  concentration of  species  i,
         c,  =  concentration  of species  i for  z <_Q,  i.e., bulk
              concentration,
                                                             2    -1
         D  =  diffusion coefficient of  species i  in  air, in cm sec  ,
         K  =  rate constant, in  sec"  ,  for  bulk  concentration change
              due to wall  reaction:   dc,/dt = -Kc, *
         K1  =  rate constant,in cm sec"  , for removal  of species i
              in terms of surface flux,
          S  =  chamber surface  area,
          V  =  chamber volume.
     A mass balance at steady state gives  dN./dz  =  0.   Differentiating
Eq. (100) and applying the boundary conditions  c. = c,  at z  =  0  and
c. = N.J/K' at z = 6 leads directly to the  solution

                           cD
                 N. = -   ~ - £n f-^-\   '               (101)
                           1 1 '
                            Snix

-------
From Eq.  (101)»  for small  c,,  we  have

                                   DC
           1
           2
N,« 	^	   .                      (102)
                                  t1/
                                    '1/2
If the reaction product is not adsorbed irreversibly  but  is released
as species j (i.e., if i  v^i?  j),  then  N.  =  -N.,  and  Pick's Law
                                        '      J
becomes
                                        +  '    =  -D-    '         (103)
which upon integration gives Eq.  (102)  exactly.

     Note that N. and c, are related through the surface-to-volume  ratio;
Solving for N., substituting into Eq. (102), and solving for K1  gives
                                     w
                           i/i _,      \ mix/	
                     _
where K' is in cm sec  .  Equation (105) is the desired relation between
K1 and K .  Calculation of a few test cases indicates that, for the
chambers listed in Table 40, the mixing time effect contributes a cor-
rection on the order of 20 percent or less to K'; indeed, for the limiting
case where [D/(tmix)1/2] • [S/fVKj] » 1, KW a K'(S/V).   Clearly, mixing
times are most important in  relatively  quiescent  chambers.
                                   267

-------
TABLE 40.   SURFACE-RELATED OZONE DECAY PARAMETERS FOR SELECTED SMOG CHAMBERS
Chamber
UCR-EC









UNC red
UNC blue


UNC red

UNC blue

RTI 1
RTI 2
RTI 3§ §
RTI 4
RTI 1
RTI 2
RTI 3
RTI 4
Battelle



Date of run
3-12-74
3-12-1',
4-19-/4
4-26-74
5-31-74
5-31-74
6-3-74
6-7-74
7-6-76
7-6/7-76
ll-4-73:
12-6-735
11-4-731
12-6-73*
11-4/5-73-
12-6-737
ll-4/5-73:
12-6-73'
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75"
8-14-75**




Surface-to-
volume
ratio
Material (cm )
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Tenon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Aluminum-
Teflon
Aluminum-
Teflon
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.013
0.013
0.013
0.013
0.013
J.013
0.013
0.013
0.019
0.019
0.019
0.019
0.019
0.019
0.019
0.019
0.026

0.026

k
w
Lights on (106sec
No 36.4
Yes* 46.6
No 10.1
No 10.3
Yes 46.5
No 28.4
No 19.6
No 17.0
Yes 33.0
No 12.0
Yes 9.4
Yes 11.5
Yes 9.6
Yes 10.0
No 4.0
No 3.1
No 3.8
No 2.6
YesTtt
Yesm
Yesm 19
Yesm
No 8.8
No 7.2
No 8.4
No 6.7
No 27

Yes 55

K' km Km
"') (lO^cmsec"1) (106sec"1) (104cm sec"1 1
14.2
14.8
3.2
3.2
14 7
10.3
6.6
5.7
10.3
3.8
7.18
8.80
7.34
7.65
3.06
2.36
2.9
2.0
(
)
± 10% ) 10
[
4.7
3.8
4.4
3.5
11.0

21.0

..
-
..
..
..
-
..
..
-
..
..
—
..
..
..
..
..
--
..
—
-
--
--
..
..
--
..

..


                                                               (continued)
                                      268

-------
                                      TABLE   40  (Concluded)
Surface-to-
volume
ratio
Chamber Date of run Material (cm )
f * OU
Lockheed - °vrex
Aluminum
" -- Aluminum
" -- Pyrex
Pyrex
Teflon
Teflon
Stainless
" -- Stainless
" — Pyrex
Aluminum
" -- Aluminum
" -- Pyrex
" -- Pyrex
Teflon
Teflon
Stainless
Stainless
Mean value*+*
'°°/_i./~~
\mean )
0.047
0.090
0.136
0.090
0.136
0.090
0.136
0.090
0.136
0.047
0.090
0.136
0.090
0.136
0.090
0.136
0.090
0.136
-
--

Lights on
No
No
No
NO
No
No
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes

--

w
(106sec"')
26
34
43
32
34
39
33
72
61
64
54
55
42
38
42
57
96
115
37
34

K'
(104cm sec"1)
6.2***
3.8
3.1
3.8
2.4
3.7
2.9
5.3
3.7
14.0
6.0
4.0
4.7
2.8
4.8
4.3
11.0
8.5
34.0
36.0

km "m
(lO^ec"1) (104cm sec"1)
__
7.2
16.0
7.2
5.3
6.2
12.0
34.0
45.0
--
--
--
--
—
—
--
32.0
51.0
77.0
89.0

__
1.7
1.8
1.7
0.6
1.4
1 t.
7.9
5.1
--
—
-.
--
--
-
--
7.4
5.8
2.7
92.0

 * 20 kW xenon  arc  lamp filtered through new  Pyrex pane.
 + Run carried  out  from 1028 to 1404 EST.
 1 Run carried  out  from 1301 to 1501 EST.
 ,• Run carried  out  from 2102 to 0500 EST
 -. Run carried  out  from 1901 to 2358 EST
 •• Dates not given.   Data were taken from an  RTI progress report dated  14 August 1975.
 «« Natural sunlight through Teflon walls.
 §§ Stirring data indicated  V.  - 800 fps.  We used this value and x  as  the chamber circumference In the
   expression « • 4.64(vx/V.)l/2  and used that value of 6  in Eq.  (105).
 44  Values for the chamber In the presence of  inserts fabricated from the materials shown. .
 77  Base  chamber (empty):  KW = Kg.
"•  r calculated using the  relation KW= K'(S/V).
'"  Lockheed chamber only.
                                                      269

-------
Validation of the Transport Picture

     We calculated first-order light and dark decay  constants  (K1)  for
ozone bas_ed on measured ozone half-lives in the RTI,  UCR-EC, UNC, Battelle,
and Lockheed chambers.   The results of the calculations  are presented
in Table 40.  All the light and dark decay constants  for ozone were averaged
to generate the statistical information in Table 41.

     The main conclusion to be drawn from Table 41  is that standard
deviations amongst the  chambers in the apparent rate  of  ozone  decay
(K ) are substantially  reduced under both light and  dark irradiation
  w
conditions when individual  chamber geometries (surface-to-volume  ratios
and mixing times) are taken into account by calculating  K1.

Materials Effects—The  Lockheed Data

     The runs in the Lockheed chamber (Jaffe and Last, 1974) provide some
opportunity to examine  the effects of construction material on the  value
of K1.   Jaffe and Last  obtained ozone decay times under  both light  and
dark conditions when samples of different materials  were inserted into
the chamber shell.  An  attempt was made to estimate  the  influence of
materials on ozone decay by assuming all decay processes to  be independent
and first order.  If KD and 1C are the volume and the surface  decay rate
                      D      S3
constants,  respectively, for the base chamber, then one can  associate
with each construction material the analogous rate constants  Km and K^,
where

                        Km = Kw -  KB = K         •               (106)
and K  and K' are the volume and surface decay rate constants, respectively,
     m      rn
for each of the different materials inserted into the base chamber.
                                    270

-------
      TABLE 41.    INFLUENCE OF CHAMBER GEOMETRY  ON  THE  ESTIMATION  OF
                  SURFACE-RELATED OZONE DESTRUCTION*

.







Rate
10
10
1
1
0
0
6
4
6
4
X
X
X
X






constant
K,
w
K1,
K ,
w
K1,
light
light
dark
dark
19
9
8
3


Value



.6 ± 10
.6 ±
.1 ±
.9 ±
1
5
1



.8
.8
.3
.1
Coefficient of
deviation"*"
(percent)
55%
18
65
29

       * Materials  effects  are not considered.
       t Coefficients of deviation (i.e.,  standard  deviation
         value)  are expressed as  percentages  of  mean  values.
v mean
     Clearly, the effectiveness of this type of analysis  is  greatest when
K  » K' .   However, as the data in Table 40 show,  the K 's for the Lock-
 rn     D                                               ni
heed chamber are generally less than 1C; moreover, the dark  decay  data
of Table 40 show anomalous values for Pyrex and stainless steel.   In the
runs with lower surface-to-volume ratios, ozone was apparently destroyed
more rapidly than in the runs with higher surface-to-volume  ratios, which
would imply negative K 's.  In addition, during photolysis,  ozone  was
removed less rapidly in the presence of material other than  Pyrex.  Ozone
was removed more rapidly in the presence of stainless steel  than  in the
presence of Pyrex.  As a consequence, it was generally impossible  to
associate  surface rate constants with different materials during irradia-
tions of ozone in the Lockheed chamber.  In the dark, values of K'  were
in good agreement for Teflon and for aluminum,  but not for Pyrex or stain-
less steel.   (For a given material, values of K'  in the light and  dark
should be  identical.)  Thus, from the Lockheed  chamber data, the following
conclusions  can be drawn:
                                   271

-------
     >  The effects of chamber geometry are outweighed by the
        effects of different materials.  Note that no improve-
        ment in the coefficient of deviation resulted when surface
        ozone decay rates were expressed in terms of K'  rather
        than K or in terms of K' rather than K .
     >  Surface-related effects for Pyrex and for stainless steel
        were possibly dominated by history-dependent phenomena,
        in view of the decrease in K1 and (for dark reactions)
        K' with increasing surface-to-volume ratio.  For stainless
        steel, K1 was little affected whether the light source was
                ill
        on or off, suggesting that surface effects may have been
        associated more with changes in surface reactivity than
        with contamination found on the sample materials.
     >  Tne apparent lack of dependence of K^ on area for aluminum
        and for Teflon raises the possibility that geometric effects
        in chambers constructed of these materials could be part-
        ially accounted for by simple corrections for the surface-
        to- volume ratios for mixing time.

Wall Reactions of Species Other Than Ozone

     Upper limits were estimated for the removal  of species other than
ozone at the walls of the UCR chamber* by using the expression:
where K  i is the rate constant for removal  of species i  at the wall,  DI
is the diffusion coefficient of species i  in air, and the rest of the  terms
are as defined earlier.  The reliability of these constants depends primarily
on the choice of D. and t .  ; D. was usually estimated by using Graham's  law
                   I      nil X   1
* The UCR chamber was chosen for simulation only because of our previous
  experience with an explicit propylene mechanism tested with smog chamber
  data from that facility.  No conclusion regarding the actual reactivity
  of the UCR chamber walls should be inferred from this study.  In fact,
  Eq. (107) is based on the assumption of an infinitely reactive surface.
                                    272

-------
and measured diffusion coefficients for gases of similar molecular weight.
More  refined estimates would have to be based on Lennard-Jones parameters,
which might be obtained from viscosity data or critical point data, neither
of which seem to be available for reactive intermediates.  We believe that
                                                                        1/2
the accuracy limits are governed by the uncertainty in the use of (t .  )
as an approximation to the boundary layer thickness.  [We point out here
                                           1 /o
that  the dimension of the expression (tmip) '   is centimeters; strictly
speaking the boundary layer thickness 6 should be expressed as 6 = C(tmi-n)l/2,
where C is a proportionality constant having a value of unity when 6 and
t  .   are expressed in cgs units.]

     Table 42 gives the species examined and their rate constants.   Figures
67, 68, and 69 show the influence of the reactions that affected the
concentrations of 03, NOos and propylene, respectively.   Under the initial
conditions chosen, wall  reactions of OH-, 0 atoms, N03, and RCOX had no
effect on the concentrations of the three species examined; all  three,  however,
were sensitive to HONO.   The propylene simulations were unaffected by ozone-
wall reactions, even though the maximum possible rate of ozone loss to  the
walls was sufficient to suppress completely the buildup of ozone.   We empha-
size that the simulations above are valid only for the initial conditions
chosen; they should not be extended to other systems.

RESULTS OF THE CHAMBER EFFECTS STUDIES

     Much of the work for the eight different chambers listed above was done
with the explicit kinetic mechanism for propylene discussed in Section  5
of this report.

Results of the Study of the UCR Experiments

     The simulation results  of the propylene experiments  are discussed  earlier
(see Section 5).   In this section, we summarize some of the conclusions
reached from investigation of UCR Runs EC-121  and EC-177.

     Although the light source was replaced just before each of these runs,
we found that even using a higher than calculated photolysis rate  constant

                                   273

-------
TABLE 42.   MAXIMUM RATE CONSTANTS FOR HYPOTHETICAL
            WALL REACTIONS IN THE UCR CHAMBER

Species Kw^min '
CH3CH(02)CHOH
ti0'2
0
HONO
N03
PAN
CH3°2
Ozonide
CH3C(0)0;>
OH-
O
0.47
1.4
2.2
0.71
0.54
0.18
1.2
0.3
0.84
2.2
0.62
                        274

-------
  o.to
  0.45
            	 BASE CASE
            	HOMO
            	PAN, CH, OZONIDE
a 0.30
   0.15
             50
                     100       150      ZOO       250      300

                                 TIME, minutes
                                                              350
                                                                      400
      Figure 67.    Maximum influence  of wall reactions  on ozone
                    concentrations during the NO/propylene irradia-
                    tions.  Curves represent the simulated ozone
                    concentrations when species shown are presumed
                    to react with walls at the maximum rate con-
                    stants given in Table 42.
                                   275

-------
   o.«r
   0.45
                                                       	 BASE CASE
                                                       	MONO
                                                       	HOj
   0.30 -
   0.15
              SO
                      100
                              150
                                      200
                                   TIME, minutes
                                              ZSO
                                                      300
                                                              ISO
                                                                      400
Figure 68.   Maximum influence of wall  reactions on N02 concentrations
             during the simulated NO/propylene irradiations.  An
             initial MONO concentration of 30 ppb was assumed.  Curves
             represent simulated N02 concentrations when species  shown
             are  presumed to react with walls at the maximum rate
             constants given in Table 42.
                                   276

-------
      0.60
                                                          	 BASE CASE

                                                          	MONO
      0.45

   £  0.30

                                    \
      0.15
                 50
                        100
                                 150
                                         ZOO

                                      TIME, minutes
                                                 250
                                                         300
                                                                 350
                                                                         400
Figure 69.   Maximum influence of wall  reactions on propylene concentrations
             during the NO/propylene  irradiations.  Curves  represent the
             propylene simulated concentrations when species  shown are
             presumed to react with walls  at the maximum  rate constants
             given in Table 42.
                                      277

-------
we were not able to follow the propylene decay; thus, the ozone behavior was
overpredicted.  We chose EC-121  and EC-177 for this study because the
reported light spectrum should be accurate, and deterioration effects
would not have occurred.  Yet, there may be some problems in the data
documentation because we can simulate the propylene decay much better in
other UCR propylene experiments  with the same initial conditions.  In
future studies of the UCR experiments, we will investigate the possible
chemical reactions that may affect the propylene decay and the effect of
chamber cleaning on some of the  UCR experiments.  Prior to the EC-121
experiment, the UCR chamber was  cleaned by "boiling off" any chemical
species that may have adsorbed onto the walls.  If the chamber was not
"seasoned" after this cleaning period, then ozone or other species may have
been affected more in EC-121 than in other UCR experiments.

Results of the Study of the UNC Outdoor Smog Chamber

     The second chamber investigated was the outdoor smog chamber at the
University of North Carolina.  The main differences between this chamber
and  the UCR evacuable chamber are the natural irradiation and the tempera-
ture in the UNC chamber.  The physical characteristics and operating condi-
tions of the  chamber were discussed by Jeffries, Fox, and Kamens (1975).
Of the  reactions listed in Table 1 (see Section 4), only two reactions
(besides the  photolysis reactions) are important in chamber effects studies:
(1)  03 +wall and (2)  N2C>5 + H20.  Jeffries, Fox, and Kamens (1975) found
that the nighttime Cu loss rate in the UNC chamber yielded an 0, half-life
between 48 and 70 hours.  We estimate the rate constant for the 00 ->• wall
                                     -4    -1
reaction to be approximately 2.2 x 10   min   .

     Jeffries, Fox, and Kamens (1975) also reported a rate constant of
5.6  x 10"  ppnf min"  for the N90r + H,.0 reaction.  This value is a factor
                                   -6-1   -1
of 9 lower than the value of 5 x 10   ppm  min   used in the UCR chamber
simulations described in Section 5.  Since effects of the N205 + h^O reaction
tend to occur after the N02 peak and since the UNC NOp measurements do not
include PAN separately, we were not able to derive a better estimate
                                    278

-------
of the rate of the N?0r + H?0 reaction in the UNC chamber.   We tentatively
subtracted the simulated concentration of PAN from the measured N0? con-
centration to obtain an estimate of the actual  NCL concentration and,  hence,
the effects of the Np05 + hLO reaction.

     Figure 70 shows a typical solar radiation  profile for  the UNC experi-
ments.  The chamber experiments begin early in  the morning  (usually before
sunrise).  The speed of the overall chemistry increases slowly as the  sun
rises and then begins to decrease in the afternoon as the sun starts to
set.   In constant-light experiments, the speed also varies as propylene
is consumed.  Thus, the combination of light-induced acceleration and
chemically induced acceleration can test the mechanism in a novel manner.
We incorporated a variable radiation and temperature algorithm into our
kinetic program using a simple linear interpolation scheme.

     The run of 9 August 1975 was affected by clouds, causing "choppiness"
in the solar radiation profile.  Jeffries, Fox, and Kamens  (1976) sug-
gested that the "choppiness" may cause an increase in 0., production.
Their conclusions were based on experiments with the same initial concen-
trations of hydrocarbons and NO  performed on two consecutive days:  a
                               X
clear sunny day and a partly cloudy day.  More  0- was measured in the
chamber on the partly cloudy day.

     We performed three simulations of the 9 August 1975 run varying only
the "choppiness" of the solar radiation profile.  In these  simulations we
used the propylene mechanism presented by Whitten and Hogo  (1977).  Figures
71 and 72 show the solar radiation profiles used.  Curve 1  in Figure 71
represents our estimate of the solar radiation  profile on a clear day. Curve
2 was estimated by averaging through the peaks  in the observed solar radia-
tion profile.  Figures 72(a) and 72(b) show solar radiation profiles based
on input data every 15 minutes and every 5 minutes.   Figure 72(b) is the
closest representation of the solar radiation profile presented in Figure  70.
Computer simulations with these four profiles show the same results for
oxidant formation (Figure 73), except for Curve 1.   Thus, our old mechan-
ism does not show any effect due to "choppiness" at 5-minute or 15-minute
intervals.
                                   279

-------
2.Or
                         -§—'—rtr
                            HOURS,  EOT
Source: Jeffries (1976).
   Figure 70.   Observed diurnal  variation  in  solar intensity  at  the UNC
                chamber on 9 August 1975
                                280

-------
                          10     K     12    13     14     15
15     i7
Figure 71.   Approximations to the observed  solar intensity at UNC
             on 9 August 1975
                           281

-------
             on.     inn.
                           27"      3(.n,     460.
                              TIME, minutes
                                                G40.     MO.     720.
                     (a)  15~minutes intervals
Figure 72.   Calculated diurnal  variation of  the  N0£ photolysis  rate
             constant (k,)  in  the UNC chamber on  9 August 1975
                                282

-------
0.60*
   I
   I
                  inn.      2TO.     0*0,     450.
                               TIME, minutes
                                                 MA.      »:in.     730.
                  (b)  5-minute  intervals


                     Figure  72  (Concluded)
                              283

-------
                     U   CURVt 1

                   	 15-MINUTE INTERVAL

                   	 5-MIHUTE IMTERVAL

                   	 CURVE Z
 • .to
    •      *•.     IB*.
                                                ooooooooo
0000000
Figure  73.    Effect  of different  N02 photolysis rate constants 0'
              ozone concentrations in UNC  blue chamber experimen'
              on 9 August 1975.  Asterisks  indicate ozone measu''
              ments in the chamber.
                                 284

-------
     Temperature, with  a  diurnal  variation similar to that of solar
radiation, may also  have  a  large  effect on the overall chemistry.  In
our first simulation of the 9 August 1975 run, we varied the tempera-
ture as observed.  We then  performed the same simulation with a  constant
average temperature.  The temperature for the 9 August 1975 run  averaged
over 11 hours is 299K.   In  both runs, we used the Curve 2 solar  radia-
tion profile in Figure  71.   Figure 74 shows the 0- predictions from  the
two simulations.  As one  can see, (L is produced at nearly the same  rates
during the early parts  of the simulations, but not as much 0- is produced
at the end of the simulation at a constant temperature.
        1.2*
        ».»»
 *  EXPERIMENT RESULTS
 0  VARIABLE TEMPERATURE SIMULATION
	CONSTANT TEMPERATURE SIMULATION
                         1M.
                                   TIME, minute*
                                                                   TM.
         Figure 74.   Effects of  different  temperature profiles on
                      simulated ozone  concentrations
      The final  simulations were performed  on  four UNC chamber runs (one on
 9  August 1975,  two simultaneously on 5 November 1976, and one on 8 August
 1977) with the  propylene mechanism presented  in Section 5.  The simulation
 results are presented in Volume II of this report.
                                     285

-------
     An interesting observation is  the difference  between  summer  and
late fall  radiation intensities.   During the fall  months,  the total  radia-
tion is lower and the ratio of aldehyde to N0? photolysis  rate constants
is different.  It is also known that this ratio is not constant during  the
course of a day.

     In simulations of the 5 November 1976 runs, we had to lower  the
aldehyde/NOp photolysis rate constant ratio by 40 percent to fit  the
observed data.  Two UNC runs with different initial hydrocarbon con-
centrations were performed simultaneously.  We are able to simulate
both runs fairly closely up to the 03 peak (Figures 75 and 76).  For
the blue chamber run, we could not simulate the 0- concentrations after
the Oo peak.  For the red chamber run, we were not able to simulate NO  as
     O                                                                A
closely as 03 and propylene.  However, the use of a significantly lower
photolysis ratio for these November runs probably accounts more for the
colder temperature  then than the actual change in the photolysis  ratio.

Results of the RTI  Chamber Study

     The Research Triangle Institute  outdoor  smog chambers are similar to
the UNC chamber  and are  located in  the  same area.  Therefore, we assumed
the same solar radiation profile for  RTI  as for the UNC chamber.   Of the
experimental  data available, we investigated  the  propylene/NO  experiments
                                                             /\
performed  in October 1976  because this  set of data appeared  to have the
least  experimental  errors  in  the 03 values.   The  rate constants of the
0-  -»• wall  reaction  and the N90C + HpO reaction were changed  in the mechan-
               -4     -1           -e.     -1    -1
ism to 5.1 x 10   min    and 5  x 10  °  ppm  min  ,  respectively.

      Although RTI performed runs for  35  hours, we simulated  only the first
18  hours of  each run.  The simulation results for Chambers 2,  3, and 4 are
presented  in Volume II (no 03 was observed in Chamber 1).  As shown by
these  results, we are able to  simulate  the data fairly well  for the first
day,  except  for  Chamber  2  (Figure 77).   The NOp data  shown have been corrected
for PAN by subtracting the simulated  PAN  concentrations from the N0? data
as  was done  with the UNC data.
                                   286

-------
o.oo
    0      70     140     210     280    350


                         TIME,  minutes



                    (a)   N09,  NO and 07
                           
-------
    o.i6r
E   O.L2
Q.
Q-
    0.08
o:
o
z
8   0.04
    0.00
              70     140     210     280     350

                             TIME, minutes


                               (a)  0,
420    490
560
    0.48r
    0>°°0      70     140     210     280     350     420     490    560

                             TIME, minutes

                     (b)   Propylene, N02> and NO


   Figure 76.   Simulation results of a UNC propylene experiment on
                5 November 1976 (red side)
                                  288

-------
   0.16
 £ 0.12
 o.
 Q.
   0.08
O
•z.

3 0.04
   0.00
             150    300    450    600     750


                            TIME, minutes



                              (a)  0,
                                              goo
1050    1200
   1.20
 Q.
 o_
   0.90

-------
     The 03 data reported for Chamber 2 are suspicious.   At the NCL peak,
reported CL concentrations are approximately a factor of 10 lower than
the amounts predicted by steady-state calculations.   The 03 values re-
ported for Chambers 3 and 4 at the NCL peak were low by  only a factor of
about 3.  Our simulated 0- values are high for Chamber 2 by a factor of 3
                         O
but are fairly close for Chamber 3.  One aspect of the RTI data that we
have not taken into account is the effect the fan has on the species behav-
ior.  The fan was turned off in Chamber 3 only.  When the fan is left
running, we expect a greater wall effect owing to the turbulence caused by
the fan.  This might account for the overprediction of ozone in the simula-
tion of Chamber 2.

     The ozone was also overpredicted in Chamber 4,  perhaps also because
of the turbulence caused by the fan.  Another possible explanation is that
the chamber has not been "seasoned" long enough.  Simulations with a higher
03 -»• wall reaction (at 2.5 x 10~  min~ ) resulted in better fits of the
ozone concentrations in Chamber 4, but had little effect on the results of
Chamber 2.  Figure 7Dshows the simulation results of this run.  Thus, we
feel that a longer "seasoning" period may be required for Chamber 4.  Note
that in Figure 78 the predicted ozone in Chamber 4 decays rapidly after
the ozone peak while the observational data remains constant.  If the chamber
is not well seasoned before the experiment, it becomes a little more seasoned
during the experiment.  Thus, the 03 ->• wall reaction rate may decrease with
time, and the observed ozone would remain constant.

     During the next contract year, we hope to investigate the turbulence
effect caused by the fans and the need to have the chamber "seasoned"
sufficiently in the RTI experiments.

Results of the Study of the Battelle and NAPCA Chambers

     Both the Battelle and NAPCA chambers use constant irradiation sources
similar to that in the UCR chamber.  Both groups reported values for the NO,,
decay rate.  Battelle reported an actual k, (N0~ photolysis rate), which was
used in the computer simulations.

                                    290

-------
CL
Q.
O

o
O
    0.16
    0.12
2   0.08
fee
0.04
    0.00
              150     300    450    600    750
                              TIME, minutes

                                (a)   Ozone
                                              900
1050    1200
 CL
 Q.
o
    0.90r
    0.30 -
    0.00
    0.20 -
          150    300    450    600     750
                          TIME, minutes

                       (b)   N02,  NO, and
                                                  900
1050    1200
     Figure 78.   Simulation  results of the ozone behavior in RTI
                  Chambers  2  and 4 with the ozone wall  reaction
                  at  2.5  x  10~3 ppm~lmin~l
                                291

-------
     We investigated three Battelle runs (S-019,  S-114,  and  S-115)
performed with blacklight irradiation (k,  equal  to 0.3 min"   for S-019
             1                          i
and 0.16 min   for S-114).  Initial simulations  using  the  blacklight
spectral .distribution reported for the NAPCA chamber showed  high ozone
for S-019 but low ozone predictions for Runs S-114 and S-115.   However,
the fit was improved if the NO, photolysis rate  constant was raised from
         1            I       £
0.16 min"  to 0.2 min  .   [This change of 25 percent is  within  the
estimated limit of 30 percent uncertainty reported by  Wu and Niki
(1975)].  The simulation results for Battelle Runs S-019,  S-114,  and
S-115 are shown in Volume II.
     Of the five propylene/NO  experiments available to us  from NAPCA,
                             /\
we chose three runs with similar operating conditions (Runs 156, 164,
and 172).  Each run was statically charged and run in Chamber 2.  Run
156 was performed at full light intensity, and Runs 164 and 172 were per-
formed at one-third of the full light intensity.   The only  light intensity
spectrum available was reported by Korth, Rose, and Stahman (1964).  The
k. value used was 0.4 min"  (Kuntz, Kopczynski, and Bufalini, 1973).  From
estimates of k, from a k. value due to blacklamps, we estimated the  k,
               I         Q                                -I            I
value for the NAPCA chamber to be approximately 0.27 min~ .

     In our initial simulations of NAPCA Runs 156, 164, and 172, the pro-
pylene decay rate was too rapid and the N02 induction period too short.
These simulations are not shown.  Because the reported light spectrum was
taken in 1963 and the propylene experiments were performed  in 1965,  we
suspect that the light source may have deteriorated.  We applied short
wavelength attenuation to the reported light spectrum of Korth, Rose,  and
Stahman, (1974) and calculated a new set of photolysis ratios (Table 43).
Simulations with the shifted spectrum produced better fits  (see Volume  II)
                                   292

-------
   TABLE 43.    PHOTOLYSIS RATE CONSTANTS (RELATIVE  TO Iq  =  1)  USED  IN
               COMPUTER SIMULATIONS OF THE NAPCA RUNS*


03 + hv -»•
03 + hv ->
HONO + hv
H202 + hv
HCHO + hv
HCHO + hv
CH3CHO +
CH3CH2CHO
Original rate
Reaction constant"*"
0(1D) 0.0257
0(3P) 0.034
-* NO + OH- 0.426
-*• 20H- 0.0037
+ H02 + HCO- 0.0065
•* H2 + CO 0.0065
02
hv •* CH302 + HCO- 0.0065
°2
+ hv -> CH3CH20^ + HCO- 0.007
Attenuated rate
constant5
0.0052
0.03
0.375
0.0014
0.0038
0.0038
0.0038
0.0038

* The light intensity was cut to one-third the full  intensity for
  Runs 164 and 172.   Therefore, we lowered the aldehyde photolysis  by
  one-half to simulate this condition.

t Calculated from data reported by Korth,  Rose and Stahman  (1964).

§ Calculated for the 1965 runs assuming deterioration of short-
  wavelength intensity of the light source from the 1964 data.
                                    293

-------
Results of the Study of the UCR Glass Chamber

     One of the advantages of using a glass wall  smog  chamber for  hydro-
carbon/NO  experiments may be the low adsorption  of NO  to the glass walls
        •-X                                            X
compared with the adsorption by walls constructed of Teflon.   We used  the
rather low value of 8 x 10"  ppnf min"  for the NoOr + H90 reaction rate
                                                 £ 0    c
constant.

     We were able to obtain only limited information on two UCR glass
experiments performed in 1973.   Since the reported k .  for these experiments
           -1                            -1
is 0.35 min  , we used a value of 0.3 min   for k, in  the computer simula-
tions.  The simulated predictions of the NO , propylene and ozone  behavior
are shown in Figures 79 and SO.  Further investigations using higher alde-
hyde photolysis show an effect on the ozone induction  period with  little
effect on the ozone maximum (see Figure 81).  Another  investigation using
a higher k, value (0.5 min~ ) showed that by raising the N02 photolysis
rate constant we were able to predict the ozone behavior without affecting
the NO  and propylene predictions (see Figure 82).  Although this  last
set of simulations shows the closest agreement for ozone maxima between
simulations and the UCR glass experiments, we are skeptical about  the  high
NOp photolysis rate constant used in the simulations.

     During the next contract year, we hope to obtain  more information
concerning these experiments and perhaps to elucidate  the apparently high
concentrations of ozone found in these experiments.

Results of the Study of the CALSPAN Chamber

     For the CALSPAN chamber, we investigated three propylene/NO   experiments
                                                               J\
(Runs 11, 15, and 16).  Of these, only Run 11 did not  contain any  hydro-
carbon concentration versus time profile.  The computer simulations of Runs
11, 15, and 16 are shown in Figures 83, 84, and 85.  In the simulations of
Runs 15 and 16 (Figures 84 and 85) the propylene decay was simulated,  but
not the ozone behavior.  In the simulations of Run 16  (Figure 85), the simu-
lations have a shorter time to NO  crossover compared  with the actual  data;
                                 A
                                   294

-------
Q.
Q.
«c
o:
UJ
t_>
o
C_5
    0.14 -
    0.07 -
    o.oo.
               50
100
150     ZOO     250
  TIME,  minutes
300
350
                                                                  400
                              (a)  N02 and
                      NO
    o.eor
    0.60 -
Q.
Q.
h-  0.40 -
o

§  0.20
    0.00.
                      100
       ISO    200     250

          TIME,  minutes

      (b)  Propylene  and
                      300
       350
       400
   Figure  79.    Simulation results  of the UCR glass chamber experiment
                 performed on 23  February 1973
                                295

-------
   O.ZSp
    0.00.
              50
100
150     7.00    250

  TIME, minutes

 (a)  N02 and NO
300
350
400
Q.
Q.
QL
    0.80
    0.60
    0.40
o

R  0.20
    0.00
              50     100    ISO    ?00     250     300    350    400
                               TIME,  minutes

                            (b)   Propylene and Oo


    Figure 80.   Simulation results  of an UCR glass chamber experiment
                 performed  on  5  March 1973
                               296

-------
CL
O_
   0.28r
   0.21  -
   0.14
O 0.07 -
   0.00
             50      100
              150     ZOO    250

               TIME, minutes
                                                 300    350    400
                           (a)   N02 and
                          NO
   0.80
 a.
 Q-
   o.eo
o

o
   0.40
   0.20
   0.00
50     100    150    200    250

                TIME, minutes


           (b)   Propylene and
                                                 300    350    400
 Figure 81.  Simulation results of an UCR  glass chamber experiment
             with  the formaldehyde photolysis  at 3 x 10-3 min-l
                            297

-------
   0.28r
   -0.21 -
D.
a.
H-  0.14 -
o
z
o
O
0.07 -
    0.00
50     100
                            ISO     200     250

                              TIME, minutes
                             (a)   N02 and
                                       NO
                                             300
350
400
Q_
Q.
    o.eor
    0.60
    0.40
o


I  0-20
    0.00
              50     100     150     200    250

                              TIME, minutes


                         (b)  Propylene and
                                             300
                                                        350
       400
  Figure  82.  Simulation results of an  UCR glass chamber experiment
               with the N02 photolysis at  0.5 min-1
                               298

-------
Q.
Q.
   0.80
   0.60
   0.40
g  0.20
   0.00
             40      80
120     160    200

 TIME,  minutes
240    280    3ZO
   Figure  83.  Simulation results of propylene/NO  Experiment 11
               performed in the CALSPAN chamber  x
                                299

-------
    0.80
E  -0.60
Q.
Q.
UJ
o
<->   0.20
    0.00
               40     80     120    160    ZOO

                              TIME, minutes


                          (a)   N09> NO, and 0,
240    280
320
 Q.
 Q.
     1.04
    0.76
    O.S2
 UJ
 o   0.26
     0.00
               40      80     120     160     200

                            TIME, minutes


                            (b)  Propylene
240     280
320
  Figure 84.   Simulation results of  propylene/NOx Experiment  15
               performed in the CALSPAN  chamber
                               300

-------
   o.72r
o
   0.00
                     80
 120     160     ZOO
  TIME, minutes

(a)   N02, NO, and
       240
280
320
   1.04
 E J.7B
 Q.
 Q_

-------
     Using the reported light spectra, we calculate photolysis  ratios  for
both the cut and uncut spectra (Table 44).  Jaffe and Last (1974)  reported
a kd of 0.3 min"  for both spectra.   Wu and Niki  (1975)  provided the
following, equation to calculate k-|  from data on the decay of N02 in  N?:

                    n 5          kdLM]   k [M]     [NOJ,
            |/  =    U' J      I 4.  *+       3    o n     f- _ I
             1   Tt- t \        k       k        fNO l
             i   v »»p   '•i /        ^q      ^q       L'^^oJo
                                                                   (108)
where [NCLL and [N0p]2 are the concentrations of N02 at times  t,  and t^,
[NO ]Q = [N02] + [NO], and k-, k., and kr are the rate constants  for the
reactions of triplet oxygen atoms with N0?, N02+M, and NO,  respectively.
This equation should be used when [MO]/[N02] >. 0.5.   Data taken from Jaffe
and Last (1974) indicate that [NO^  = 0.58 ppm, [N02J2 = 0.415 ppm,
[NO ] = 1.6 ppm, t. = 3 minutes, and t? = 4 minutes.   By eq.  (108),  these
   A               I                   £-
data and the rate constants recommended by Hampson and Garvin (1978) indicate
that k, = 0.33 min" .  Use of the value of 0.33 min"   in the  computer simu-
lations resulted in prediction of an early NO  crossover and  fast propylene
                                             X
decay.  Simulation results for Runs 40 and 42 are presented in  Figures 86
and 87; simulation results for Runs 41 and 43 are presented in  Volume II
of this report.  To help simulate the high amounts of N02 in  the data, we
included a reaction that simulates N09 desorption off the walls at a rate
         -3        -1
of 2 x 10   ppm min  .  But even with this rate, we were not  able to
predict the N02 peak concentrations.

     In the cut spectrum Run 40 (Figure 86) we could  not follow the ozone
behavior or the propylene decay.  Note in Figure 86 that the  propylene
decay has two distinctive slopes:  It is fairly slow until  approximately
200 minutes and then becomes much faster.  This period (200 minutes) also
marks the point in which the ozone begins to influence the propylene decay.
In earlier simulations with the propylene mechanism presented by Whitten
                                   302

-------
    TABLE 44.    PHOTOLYSIS RATE CONSTANTS (RELATIVE TO k-j  = 1)  USED IN
                SIMULATIONS OF LOCKHEED CHAMBER RUNS


03 + hv -»•
03 + hv -»•
MONO + hv
H000 + hv
2 2

HCHO + hv
HCHO + hv

CH3CHO +

CH3CH2CHO
Reaction
O^D)
0(3P)
-»• NO + OH-
-* 20H-

02
-»• HO^ + HCO-
•* H2 + CO
02
hv -»• CH30^ + HCO-
02
+ hv -> CH3CH20^ + HCO-
Full spectrum
0.0064
0.0127
0.18
0.001


0.0018
0.0018

0.0018*

0.0018*
Cut spectrum
0
0.14
0.18
0.00044


0.00015
0.00015

0

0

* Quantum yield equals one.
                                   303

-------
   2.00r-
E -"i.50
Q.
Q.
   1.00
o

S  0.50
   0.00
                                       X X
0      40      80      120    .160     200     240     280

                      TIME, minutes


                 (a)  N02, NO,  and 03
                                                               320
   3.20r
 E 2.40
 o.
 o.
   1.60
3 o.eo
   0.00
              J	1	I	I	1       I       I    	I
              40      80
                     120     160     200

                     TIME,  minutes

                     (b)   Propylene
240    280    320
  Figure 86.    Simulation results  of propylene/NO  Experiment 40
                performed at Lockheed using a cut Spectrum
                               304

-------
E  .i.SO

Q.
   1.00
O
<-> 0.50
   0.00
                            1ZO     160     200
                             TIME, minutes

                          (a)  N02,  NO,  and
                     210    280     320
   3.20
E 2.40

Q.
    1.60
o

O
<-> 0.80
   0.00
              40      80
120     160    200

 TIME,  minutes

 (b)   Propylene
240    280    320
   Figure 87.    Simulation results  of propylene/NOx  Experiment 42
                 performed at Lockheed using a full spectrum
                               305

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and Hogo (1977), we found that the major source of radicals  is  the  ozone-
olefin reaction.  Since the present propylene mechanism does not  have  a
high radical yield from the ozone-olefin reaction, the simulations  do  not
follow the propylene decay as well.  In future work the ozone-olefin
reaction will be investigated further to determine, if possible,  the amount
of radicals required to simulate the Lockheed experiments.   Also  we will
examine the extent of NO  desorption from the walls and will investigate
                        X
other experiments using different materials to see whether  or not NO
                                                                   /v
desorption occurs extensively.

CONCLUDING REMARKS

     Our work to date seems to be leading toward the conclusion that the
same basic propylene mechanism is adequate for simulating experiments
in most chambers.  The most important chamber-specific effects  seem to be
the overall light intensity and the spectral distribution of the  light.
Wall effects appear to play a small but important role in the overall
chemistry.  At this time, the effects from uncertainties in analytical
data and light source data seem to be larger than the effects due to the
walls.
     We have received more propylene/NO  runs from UNC, which we are currently
                                       X
simulating with the hope of elucidating certain wall effects, such as NO
                                                                        X
and formaldehyde adsorption/desorption in the UNC chamber.   For the RTI
chamber, we are evaluating the effect of turbulence due to  the fan.  In
the  CALSPAN and Lockheed chambers there seem to be strong NO  desorption
                                                            X
effects, since the total NO  concentration increases in some of these
                           X
experiments.  We plan to estimate what effects NO  coming off the wall has
                                                 X
in all of the chambers.

     During the coming year, we also plan to investigate the effect of
temperature on the mechanism using the results of a temperature study
performed at UCR.
                                   306

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Graham, R.  (1975), private communication.


                                  308

-------
Graham, R. A., and H. S. Johnston (1978), "The Photochemistry of N03 and
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Hecht, T. A., M. K. Liu, and D. C. Whitney (1974),  "Mathematical Simulation
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Herron, G. T., and R. E. Huie (1974), "Rate Constants for  the Reactions
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Herron, J., and R. E. Huie (1977), "Stopped-Flow Studies  of the Mechanisms
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Howard, C. J. (1977), "Kinetics of the Reaction of  H02 with NO?," J. Chem.
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           (1976), "Rate Constants for the Gas-Phase Reactions  of OH
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Japar, S. M., and H. Niki  (1975),  "The Gas-Phase  Reactions  of the Nitrate
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                                 309

-------
Japar, S. M., C.  H.  Wu, and H.  Niki  (1974),  "Rate  Constants  for  the
     Reaction of Ozone with Olefins  in the Gas  Phase,"  J.  Phys.  Chem.,
     Vol. 78, pp. 2318-2320.

Jeffries, H. (1976), Progress Report to Dr.  M.  C.  Dodge of the EPA from  the
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Jeffries, H., D.  Fox, and R.  Kamens  (1976),  "Outdoor Smog  Chamber  Studies:
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           (1975), "Outdoor Smog Chamber Studies:   Effect  of Hydrocarbon
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Kaiser, E. W., and C. H. Wu (1977), "A Kinetic Study of the Gas  Phase
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Kajimoto, 0., and R. J. Cvetanovic (1976), "Temperature Dependence of
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Kocmond, W. C., et al.  (1973), "Determination of the Formation Mechanisms
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Lloyd, A. C., et al.  (1976), "Relative Rate Constants for Reactions of
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                                    310

-------
MacCracken, M. C., and G. D. Sauter, eds.  (1975),  "Development of an Air
     Pollution Model for the San Francisco Bay Area," UCRL-51920, Vol.  1,
     Lawrence Livermore Laboratory, Livermore, California.

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Moortgat, G. K., et al. (1978), "Wavelength Dependence of Relative and
     Absolute Quantum Yields in the Near UV-Photolysis of Formaldehyde
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     with Water," J. Phys. Chem.. Vol. 77, pp. 1929-1932.

            (1971 a), "Mass Spectrometric Study of the Reaction of Hydroxyl
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	  (1971b), "Reactivity of Hydroxyl  Radicals with Olefins,"  J.
     Phys.  Chem.. Vol. 75, pp. 3640-3641.

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     Ozone," presented at EPA/NBS Workshop on Chemical  Kinetic Data  Needs
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Niki, H., E. Daby, and B. Weinstock (1972),  "Mechanisms of Smog Reactions,"
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     in Urban  Air.  Volume II.   Chamber Studies," EPA-600/3-77-014b,
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     Vol. 8, pp. 563-596.
                                   311

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Scofield, F., A. Levy, and S. E. Miller (1969), "Design and Validation of
     a Smog Chamber," Scientific Circular No. 79, National  Paint,  Varnish,
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     with CO," Inter. 0. Chem. Kinet., Vol. 8, pp. 85-98.

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     171st National  Meeting, American Chemical Society, April 1976, New
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     Photochemical  Smog," EPA-600/3-77-011, Systems Applications,  Incor-
     porated, San Rafael, California.

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     for Chemical  Kinetics," CS75-70R2, Systems Applications, Incorporated,
     San Rafael, California.
                                    312

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Wilson, W. E., Jr. (1972), "A Critical  Review of the  Gas-Phase  Reaction
     Kinetics of the Hydroxyl Radical," J.  Phys. and  Chem.  Ref.  Data,
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     Hydrocarbon Reactions from Smog Reactor Studies,"  J.  Environ.  Sci.
     and Health, Vol. A-ll, pp. 191-200.
                                   313

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                                  TECHNICAL REPORT DATA
                           (Please read Instructions on the reverse before completing)
1  REPORT NO.
                                                          3. RECIPIENT'S ACCESSION"NO.
   EPA-600/3-79-Q01a	|_	
4. TITLE AND SUBTITLE
 MODELING  OF  SIMULATED PHOTOCHEMICAL SMOG WITH  KINETIC
 MECHANISMS    Volume 1.  Interim Report
                                                      5. REPORT DATE
                                                       January  1979
                                                      6. PERFORMING ORGANIZATION CODE
7. AUTHOR(S)
 G.I.  Whitten,  H.  Hogo, M.J. Meldgin, J.P.  Killus,
 and  P.  J.  Bekowies
                                                          8. PERFORMING ORGANIZATION REPORT NO.
                                                          EF78-121A
9. PERFORMING ORGANIZATION NAME AND ADDRESS
  Systems Applications, Incorporated
  950 Northgate  Drive
  San Rafael,  California  94903
                                                      10. PROGRAM ELEMENT NO.

                                                        1AA603   AC-19  (FY-78)
                                                      11. CONTRACT/GRANT NO.

                                                        Contract  No.  68-02-2428
12. SPONSORING AGENCY NAME AND ADDRESS
                                                          13. TYPE OF REPORT AND PERIOD COVERED
  Environmental  Sciences Research Laboratory-RTP,  NC
  Office  of  Research and Development
  U.S.  Environmental Protection Agency
  Research Triangle Park, N.C.  27711	
                                                        Interim   7/76-7/78
                                                      14. SPONSORING AGENCY CODE
                                                        EPA/600/09
15. SUPPLEMENTARY NOTES
  Volume  2.   Appendix   EPA-600/3-79-001b
16. ABSTRACT
       Computer modeling of smog chamber data  is  discussed in three parts.   First,
 a  series  of detailed chemical mechanisms were developed to describe the photo-
 chemical  formation of ozone from nitrogen  oxides and the following organic
 compounds (alone and in various combinations):   formaldehyde, acetaldehyde,,
 ethylene, propylene, butane, 1-butene, trans-2-butene, and 2,3-dimethylbutane.
 Second,  a generalized kinetic scheme  intended for use in models simulating
 the  formation of ozone in urban atmospheres  was refined.  The generalized
 mechanism includes a condensed version of  the detailed mechanisms developed
 in the first part plus a semi-empirical  scheme  to describe the oxidation of
 aromatic  hydrocarbons.  Third, the  effects of smog chambers on ozone formation
 were examined.  For this part of the  study,  similar experiments using  nitrogen
 oxides and propylene in eight different  smog chambers were simulated using
 the  detailed propylene mechanism.   The main  chamber effects identified thus
 far  are apparently due to nitrogen  oxides  degassing from the walls during
 experiments and differences between chambers in the spectral distribution
 of ultraviolet irradiation..
       Volume 1 contains all textual  material.  Volume 2 contains graphs of  measured and
 simulated pollutant conr.pnt.rati'nn<;  fnr many  <;mng chamber experiments 	
17.
                               KEY WORDS AND DOCUMENT ANALYSIS
                  DESCRIPTORS
                                         b.IDENTIFIERS/OPEN ENDED TERMS  C.  COSATI Field/Group
  *
  *
Air pollution
Reaction kinetics
Photochemical  reactions
Test chambers
Mathematical models
Computerized simulation
13B
07D
07 E
14B
12A
09B
13. DISTRIBUTION STATEMENT
  RELEASE TO PUBLIC
                                              19. SECURITY CLASS (ThisReport/
                                               UNCLASSIFIED
                                                                    21. NO. OF PAGES
                                                                       332
                                                   CLASS (This page)
                                                                    22. PRICE
EPA Form 2220-1 (9-73)
                                            314

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