EPA-600/3-77-011
January 1977
Ecological Research Series
          MATHEMATICAL  MODELING  OF  SIMULATED
                                 PHOTOCHEMICAL SMOG
                                   Environmental Sciences Research Laboratory
                                        Office of Research and Development
                                       U.S. Environmental Protection Agency
                                 Research Triangle Park, North Carolina  27711

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                 RESEARCH REPORTING SERIES

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

      1.    Environmental Health Effects Research
      2.    Environmental Protection Technology
      3.    Ecological Research
      4.    Environmental Monitoring
      5.    Socioeconomic  Environmental Studies

 This report has been assigned to the ECOLOGICAL RESEARCH series. This series
 describes research on the effects  of  pollution on humans, plant  and animal
 species, and materials. Problems are assessed  for their long- and short-term
 influences. Investigations include formation, transport, and pathway studies to
 determine 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-600/3-77-011
                                         January 1977
  MATHEMATICAL MODELING OF SIMULATED
           PHOTOCHEMICAL SMOG
                     by

           G. Z. Whitten,  H. Hogo
     Systems Applications,  Incorporated
             950 Northgate  Drive
        San Rafael, California  94903
           Contract No.  68-02-0580
               Project Officer

               Marcia  C.  Dodge
       Chemistry and Physics  Division
 Environmental Sciences Research Laboratory
Research Triangle Park, North Carolina  27711
    U.S. ENVIRONMENTAL PROTECTION AGENCY
     OFFICE OF RESEARCH AND DEVELOPMENT
 ENVIRONMENTAL SCIENCES RESEARCH LABORATORY
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 neces-
sarily reflect the views and policies of the U.S. Environmental Protec-
tion Agency, nor does mention of trade names or commercial  products
constitute endorsement or recommendation for use.

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                                 111
                             ABSTRACT


     This report deals with the continuing effort to develop a chemical
kinetic mechanism to describe the formation of photochemical smog.
Using the technique of computer modeling to simulate smog chamber data,
several explicit kinetic mechanisms for  specific hydrocarbons were  ana-
lyzed and a generalized kinetic mechanism was proposed for use in urban
airshed models.  Refinements and improvements were made on the initial
work reported by Durbin et al.  (1975).   Computer simulations of propylene/
NO , butane/NO , 1-butene/NO ,  and propylene/butane/NO  systems were
  J\           t\             A                         A.
performed to simulate smog chamber data  collected by the University of
California, Riverside.  The general kinetic mechanism, which is based
on the carbon bonding found in  the hydrocarbon system, is described.
Simulations using this new carbon-bond mechanism were also compared
with the smog chamber data on propylene/NO , butane/NO , propylene/
                                          *»           /\
butane/NO , toluene/NO , and 1-butene/NO  systems.  The usefulness  and
         A            />                 f\
validity of the computer modeling is discussed relative to the current
understanding of the smog formation process.

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                              CONTENTS



ABSTRACT	

FIGURES	

TABLES	   ix

  I  INTRODUCTION	    ""

 II  INORGANIC CHEMISTRY 	    8

     A.  NO-OH- Reaction 	    8

     B.  HN02 Photolysis	    8
     C.  N02-OH--M Reaction  	    9

     D.  H0£-N02 Reaction  	    9
     E.  HO^-NO Reaction	   10

     F.  HN02 Formation	   11

     G.  HNO.S Formation	   12

III  ORGANIC CHEMISTRY 	   13

     A.  Propylene/NO  Chemistry	   13
                     A
         1.  Propylene-OH- Reaction	   14
         2.  Peroxy Radical Chemistry  	   16
         3.  Reactions of Olefins with Nitrate Radicals (NO-)   ...   25
         4.  Formyl Radical Chemistry  	  .....   27
         5.  Aldehyde Chemistry  	   28
         6.  Olefin-03 Reactions 	   29
         7.  PAN Chemistry	   30
         8.  Propylene-0 Atom Reaction 	   33
         9.  Simulation R'esults	   34
         10. Discussion of the Propylene/NO  Systems 	   77
                                           /\
     B.  Butane/N0v Chemistry  	   83
                  >\
         1.  Hydrogen Abstraction from Butane by Hydroxyl Radicals .   85
         2.  Alkoxyl Radical Chemistry 	   85
         3.  Formation and Destruction of Methylethylketone (MEK). .   94
         4.  Simulation Results  	   97
         5.  Discussion of the Butane/NO  Systems  	   106
                                        A

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                                   VI
III  ORGANIC CHEMISTRY (Continued)

     C.   Propylene/Butane/NO   Chemistry
         1.   Simulation  Results  ..................
         2.   Discussion  of  the Propylene/Butane/NO  Systems . . • •
                                                                   174
     D.   Toluene/N0x  Chemistry   ................... '

     E.   l-Butene/NO₯ Chemistry  .................. 18°
                                                                   181
         1.   Oxidation of 1-Butene   ................
         2.   Simulation  Results  ..................
         3.   Discussion  of  the 1-Butene/NO   Systems ........
                                         A
 IV  A NEW GENERALIZED  LUMPED MECHANISM ...  ...........

     A.   Revision of the  HSD  Mechanism  ..............  201
                                                                    ?m
     B.   The New Generalized  Mechanism  ..............
         1.   Rate Constants for Hydrocarbon  Classes  ........  207
         2.   Sources of Radicals in the Carbon-Bond  Mechanism  ...  ^13

     C.   Simulation  Results  ....................  216

         1.   Butane/N0x Systems ..................  216
         2.   Propylene/N0x Systems  ................  227
         3.   Propylene/Butane/NOx Systems .............  228
         4.   l-Butene/NOx Systems .................  241
         5.   Toluene/N0x  Systems  ............  .....  241

     D.   Discussion  of  the Carbon-Bond Mechanism   .........  277

  V  GENERAL DISCUSSION ......................  280

REFERENCES  ............................  290

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                                  vli
                               FIGURES

III-l      Simulation of PAN Chemistry	    32
III-2      Factorial  Block for Propylene/N0x Systems  	    40
III-3 to   Computer Simulations of UCR Data on
111-64     Propylene/NO  Systems 	    41
                       /\
111-65     Relative Intensity for Different UCR Runs  	    80
111-66     Acetaldehyde Cross Sections for
           Two Different Simulations 	    81
II1-67     Unrecovered Carbon as a Function of  Time for
           Various Runs (Not Corrected for Dilution)	    95
111-68     Measured MEK Concentration as  a Function of
           Time for Various Runs	    96
111-69     Effect of Including Biacetyl  Photolysis  	    98
II1-70     Factorial  Block for Butane/N0x Systems   	   107
II1-71 to  Computer Simulations of UCR Data on
III-103    Butane/N0x Systems  	   108
II1-104    Factorial  Block for Propylene/Butane/NO  Systems   ...   131
                                                 A
III-105 to Computer Simulations of UCR Data on  Propylene/
111-167    Butane/NUv Systems	   HO
III-168    Factorial  Block for l-Butene/NOv Systems   	   183
III-169 to Computer Simulations of UCR Data on
II1-180    l-Butene/NOv Systems  	   191
                      /\
 IV-1  to   Computer Simulations of UCR Data on Butane/NO
 IV-17     Systems with the Carbon-Bond Mechanism  .  .	217
 IV-18 to  Computer Simulations of UCR Data on Propylene/NO
 IV-39     Systems with the Carbon-Bond Mechanism  ........   229
 IV-40 to  Computer Simulations of UCR Data on Propylene/Butane/
 IV-60     NO  Systems with the Carbon-Bond Mechanism	242

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                                viii
IV-61  to  Computer Simulations of UCR Data on l-Butene/NOx
IV-69      Systems with the Carbon-Bond Mechanism .........  Zbb

IV-70  to  Computer Simulations of UCR Data on Toluene/N0x
IV-92      Systems with the Carbon-Bond Mechanism .........  26Z

 V-la      Percentage  Differences Between  Predictions of
          Explicit Mechanisms  and Measurements  of Maximum
          One-Hour-Average Ozone Concentrations  .........  285

 V-lb      Differences Between  Predictions of  Explicit
          Mechanisms  and Measurements of  Maximum One-Hour-
          Average Ozone Concentrations ..............
 V-2a      Percentage  Differences Between  Predictions of
          Carbon-Bond Mechanism and Measurements of Maximum
          One-Hour-Average Ozone Concentrations  .........  286

 V-2b      Differences Between Predictions of Carbon-Bond
          Mechanism and Measurements of Maximum One-Hour-
          Average Ozone Concentrations ..............  286

 V-3a   •   Percent Differences Between the Maximum One-Hour-
          Average Ozone Concentrations Predicted by, the
          Carbon-Bond Mechanism and by the Explicit Mechanisms  .  .  287

 V-3b      Differences Between the Maximum One-Hour-Average
          Ozone  Concentrations Predicted  by the Carbon-Bond
          Mechanism and by the Explicit Mechanisms ........  287

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                                   ix
                               TABLES







III-l     Rate Constants for the Olefin-OH-  Reaction	'16



III-2     Thermochemistry of Alkoxyl Radicals  	  18



III-3     Comparison of the Reactivities of 0(3P) Atoms,

          Ozone, and N03 Toward Olefins	26



III-4     Mechanism for PAN Decomposition  	  31



II1-5     The Propylene/NO  Mechanism  	  35
                          A


III-6a    Initial Conditions for Simulations of

          Propylene/NO  Systems  	  39
                      A


III-6b    Photolysis Rate Constants for Simulations of

          Propylene/NO  Systems  	  40
                      A


II1-7     Percent Carbon Recovery for Propylene/NO  Systems  ...  77
                                                  A


III-8     Predicted and Measured, Maximum One-Hour-Average Ozone

          Concentrations for the Propylene/N0v Systems 	  84
                                             A


III-9     Percent Carbon Mass Recovery for Butane/NO  Systems  .   .  93
                                                    A


I11-10    Percent Carbon Mass Recovery for Run EC-44 	  93



III-ll    The Butane/N0₯ MechacisFT,	99
                       A


IIM2a   Initial Conditions for Simulations cf

          Butane/NOY Systems .... 	 .....  105
                   A


III-12b   Photolysis Rate Constants for Simulations

          of Butane/NO  Systems  	  105
                      A


II1-13    Predicted and Measured Maximum One-Hour-Average Ozone

          Concentrations for the Butane/NO  Systems  	  125
                                          A


III-14    Percent Carbon Mass Recovery for Propylene/

          Butane/NOY Systems 	  130
                   A


III-15a   Initial Conditions for Simulations of Propylene/

          Butane/NO., Systems	130
                   A

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III-15b   Photolysis Rate Constants  for  Simulations  of
          Propylene/Butane/NO  Systems
                             A
111-16    The Propylene/Butane/NO  Mechanism  ...........   132
                                 ^\
111-17    Predicted and Measured Maximum  One-Hour-Average  Ozone
          Concentrations for the Propylene/Butane/N0x  Systems   .  .   173

II 1-18    Percent Carbon Mass Recovery for  Toluene/
          NOV Systems  ......................   175
            A

111-19    Rate Constants for Reactions Involving  Hydroxyl
          Radicals and Aromatic Hydrocarbons  ...........   176

111-20    The l-Butene/NOv Mechanism  ...............   184
                         A
III-21a   Initial Conditions for Simulations  of
          l-Butene/NOv Systems ..................   189
                     A.

I 11-21 b   Photolysis Rate Constants for Simulations
          of l-Butene/NO₯ Systems  ................   189
                        A

111-22    Percent Carbon Mass Recovery for  1-Butene/
          NO  Systems  ......................   190
            A
I I 1-23    Predicted and Measured Maximum  One-Hour-Average  Ozone
          Concentrations for the l-Butene/NOx Systems   ......   198

 IV-1      The Original Hecht, Seinfeld, Dodge Mechanism  .....   202

 IV-2      The Carbon-Bond Mechanism  ...............   205

 IV-3      Reactivities per Carbon Atom for  Several Alkanes ....   209

 IV-4      Rate Constants per Double Bond  for  the  Reactions of
          Some Olefins with OK» at 30G°K  ......  . ......   210

 IV-5      Initial Conditions for Simulations  nf  the
          Toluene/NO  Systems  ..................   276
                    A

 IV-6      One-Hour-Average Ozone Concentrations Measured and
          Simulated with the Carbon-Bond  Mechanism ........   278

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                          I   INTRODUCTION


     For the last few years the United States Environmental  Protection
Agency (EPA) has sponsored a coordinated program comprising  fundamental
chemical research, smog chamber experimentation, and model development.
The objective of this program is to develop a mathematical model  capable
of simulating the dynamics of the chemical  reactions involving gaseous
pollutants in the lower troposphere.  This  model, or kinetic mechanism,
is to serve as a component of a more general  model, one designed  to
predict atmospheric ozone concentrations by simulating the transport,
dispersion, chemical reactions, and scavenging processes that affect
air pollutants.

     A kinetic mechanism is simply a set of chemical reactions and rate
constants that is intended to describe some chemical process.   From a
kinetic mechanism for smog chemistry, one can derive a set of coupled,
first-order, nonlinear differential equations that describe  the rates
of change of pollutant concentrations with  time.  These equations can
be solved using a computer to model the changing concentrations of
chemical species in a smog chamber.  If the concentrations of these
species could be accurately measured as a function of time,  and the
differential equations derived from ths theory of gas-ohsse  kinetics
cou'ld be solved directly, then computer modeling based on kinetic
mechanisms would be unnecessary.  However,  this is not the case;
both data and theory are inadequate.  Although computer modeling
is relatively new and still  developing, it  can and does provide an
important link between theoretical and experimental activities.

     SAI began computer modeling with kinetic mechanisms when inade-
quacies in both data and theory were glaring.  SAI's initial efforts,

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 started in 1972 under  EPA Contract 68-02-0580, resulted in the develop-
 ment of the Hecht,  Seinfeld, and Dodge (HSD) kinetic mechanism (Hecht
 et al., 1974a).   This  work is described in three reports to the EPA:
 a detailed planning document (Seinfeld et al., 1973) and two final
 reports (Hecht et al., 1973; 1974b).  Because the HSD mechanism was to
 be incorporated  in  a regional air pollution simulation model, it had
 to strike a balance between compactness of form and accuracy of predic-
 tion.   The number of chemical species that could be included in it, and
 thus the extent of  the mathematical description, were limited by the
 practical considerations of computing time and computer storage require-
 ments.   But an overly  simplified mechanism might have omitted important
 reactions steps  and thus have been inadequate for accurate prediction
 over a  range of  atmospheric conditions.

      The HSD mechanism struck a balance by treating the important
 inorganic smog reactions explicitly, and by treating hydrocarbons in
 four groups,  or  "lumps":  olefin, paraffin, aromatic, and aldehyde.
 It incorporated  the latest knowledge of smog chemistry, but because of
 gaps in that knowledge it also incorporated some empirical parameters.
 The values  of these parameters were chosen by fitting predicted
 concentration-time  profiles to a set of smog chamber data.

     The HSD  mechanism was a significant improvement over the lumped
 mechanisms  then available.  The results presented by Hecht et al.
 (!974a)  showfeo reasonable agraement with smog chamber daU.  In addi-
 tion, by combining  the numerical sensitivity and estimated uncertainty
 of  each  reaction and rate constant in the HSD mechanism, Hecht et al.
 (1974b)  were able to determine which reactions and rate constants pro-
 duced the greatest  uncertainties in predictions, and were thus most in
 need of  further study.   Some problems were encountered, however, in
attempting to apply the mechanism to situations other than smog chamber
experiments and to apply it outside the range of concentrations and
hydrocarbon mixes upon  which it was based (Demerjian et al., 1974).

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     These problems stemmed largely from the use of parameters that
were based on smog chamber data, not on the fundamental  chemistry.
Incorrect fundamental chemistry and chamber-dependent phenomena could
be compensated for or masked by these parameters.   No single set of
parameters would fit all smog systems, and there was little theoretical
guidance for adjusting the parameters for systems  for which no experi-
mental data existed.

     Meanwhile, technological progress in smog chamber construction and
analytical capabilities was making it possible to obtain more detailed
and more reliable data.  At the same time, the application of advanced
computer hardware and software was reducing both the time and cost  of
computer modeling.  These developments made it possible, at least for
simple smog chamber experiments (one, two, or three hydrocarbons pre-
sent initially), to trace many of the major intermediate oxidation
products of carbon and hydrogen atoms from the initial hydrocarbon  to
carbon dioxide and water.  The combination of the need for a better
mechanism and the availability of more reliable and detailed data led
to a new phase in SAI's work—the development of explicit kinetic
mechanisms.

     Whereas a lumped mechanism treats hydrocarbons in groups or "lumps,"
an explicit mechanism attempts to account for the fundamental or ele-
mentary reactions of every atom.  For example, the explicit mechanism
for- propylene end f!Q   in a .i;ii&g chamber cor.tairts over 79 reaction?
                    A
involving 35 species.  Explicit mechanisms are based on studies of  the
chemical kinetics of individual reactions.  The results of many of these
studies have been compiled and evaluated [e.g., Hampson and Garvin  (1975),
Demerjian et al. (1974)].  When data for a particular elementary reac-
tion are insufficient, its rate constant and products can often be esti-
mated from analogous reactions using thermodynamic principles (Benson,
1975).  Because explicit mechanisms are based on the fundamental chem-
istry, a poor fit between predictions and measurements for a given
species can sometimes be traced to uncertainties in chemical reactions

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 or inaccuracies in smog  chamber  experiments.   For example, poor fits
 between predictions and  measurements  for  some  propylene/NOx experiments
 in the evacuable smog chamber at the  University of California at River-
 side (UCR) led Durbin et al. (1975) to  hypothesize that the intensity
 from the UV light source in  the  chamber was decreasing more rapidly at
 short wavelengths than at long wavelengths.  Subsequent measurements
 on replacement light sources at  UCR were  consistent with this hypothesis.

      In the early stages of  SAI's development  of explicit mechanisms,
 smog chamber data could  be fitted more  closely with the parameterized
 HSD mechanism than with  the  explicit  mechanisms.  As knowledge of smog
 chemistry increased, this situation was reversed.  At present, the
 explicit mechanisms predict  smog chamber  data  better than the HSD
 mechanism, and without any adjustment of  parameters they fit a much
 wider range of concentrations than does the HSD mechanism.  They pro-
 vide more detailed insight into  the smog  formation process.  Because
 they are not as empirical, there is a theoretical justification for
 applying them outside the range  of concentrations and hydrocarbon mixes
 used in smog chamber experiments.  Furthermore, if chamber-dependent
 reactions are removed and appropriate atmospheric reactions (such as
 reactions on aerosols and other  surfaces) are  added, an explicit mech-
 anism can be used as a component of a regional air pollution simulation
 model.

      One might question  the usefulness  of explicit mechanisms in ^
 regional  model.   Since the mechanism  for  propylene and NO  alone con-
                                                         A
 tains  over 70 reactions,  surely  an explicit mechanism for urban smog
 would  contain too many reactions  to be  of practical use.  A condensed
 version of the explicit mechanisms would  combine the advantages of  a
 basis  in  elementary  chemical reactions  and speed of computation.  Near
 the end of this  contract year, SAI began  development of a new condensed
mechanism,  the carbon-bond mechanism.

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     Like the HSD mechanism, the carbon-bond mechanism employs lumped
chemical species, but there are important differences.  The HSD mech-
anism treats groups of molecules (e.g., aldehydes), whereas the carbon-
bond mechanism treats groups of similarly bonded carbon atoms (e.g.,
carbonyl carbons).  The carbon-bond mechanism is far easier to use
because it was designed to accept the types of data most commonly
reported.  But the most important difference is the scientific basis:
whereas the HSD mechanism was of necessity somewhat empirical, the
carbon-bond mechanism is derived from the fundamental chemical reactions
in smog as represented by explicit mechanisms.   Thus the carbon-bond
mechanism is a condensation of our understanding rather than a para-
meterization of our uncertainty.

     Although the carbon-bond mechanism was developed recently, it has
been applied to some smog chamber experiments.   Preliminary results,
presented in Chapter IV of this report, indicate that it is far more
accurate than the HSD mechanism.  Under EPA support, SAI is now refining
the carbon-bond mechanism and developing guidelines to handle complex
mixtures of hydrocarbons and to modify the mechanism as our knowledge
of smog chemistry increases.

     The actual computer modeling efforts of the past year have con-
centrated on smog chamber data taken by the Statewide Air Pollution
Research Center located at the University of California at Riverside
(UCR).  The UCR experimental program was supported by EPA Grant No,
800649.  In these sets of experiments, which were performed in an
evacuable chamber,  hydrocarbon and nitrogen oxide ratios and concentra-
tions were varied in accordance with the principles of factorial design.
The light source, temperature, and humidity were not varied systemat-
ically.  Analytical data for every set included measurements at various
times of nitrogen dioxide, nitric oxide, ozone, PAN, hydrocarbons, and
carbonyl compounds.  For some experiments, alkyl nitrate and olefin-
oxide data were also supplied.  The following sets of data were modeled
and are discussed in this report:

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     >  Propylene/NO --15 experiments
                    J\
     >  Butane/NO —7 experiments
                 /\
     >  Combined propylene/butane/NO —7 experiments
                                    /\
     >  Toluene/NO --10 experiments
                  /\
     >  1-Butene/NO —3 experiments.
                   J\

     SAI's initial modeling efforts using explicit mechanisms (Durbin
et al., 1975) were based on a small amount of data supplied by UCR in
1975.  During the past year more data and continued modeling efforts
have made possible significant improvements in these mechanisms.   The
explicit mechanisms for the experiments listed above, except toluene/NO ,
                                                                       A
can reproduce the results of smog chamber experiments with reasonable
accuracy.  Many improvements to the explicit mechanisms stemmed from
recent experimental investigations of fundamental reactions.  Changes
were also made in the mechanisms to improve the simulations of UCR data.
(Some of these changes may not have experimental validation.)  Some
significant improvements are as follows:

     >  Formation of peroxyformyl radicals from the formyl radical
        instead of H0£ and CO.
     >  Formation of hydroxyperoxyalkyl radicals from the OH-
        oxidation of olefins.
     >  Formation of stable ozonides from the olefin-ozone reactions.
     >  Formation of alkyl nitrates as measured by UCR.
     >  The hydrogan rearrangement in an n-butoxyl radiral to form
        a hydroxyperoxya1kyl radi ca1.
     >  Formation of biacetyl from methyl ethylketone (MEK) and OH-
        radical.
     >  Elimination of most alkoxyl radical decomposition reactions.

     The explicit mechanisms and the carbon-bond mechanism can now
reproduce the overall pattern of the smog reaction--the hydrocarbon
disappearance, NO  chemistry, and the chemistry of secondary products

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such as aldehydes and PAN--and at the same time reproduce the maximum
ozone concentration within ±20 percent (la).  The explicit mechanisms
are discussed in detail in Chapter III.   In Chapter II, we review
recent studies of inorganic chemical reactions.  The carbon-bond
mechanism is presented in Chapter IV.  Chapter V contains an overview
of the status of mechanism development,  a summary of the differences
between simulated and measured ozone concentrations for all  simulations
discussed in this report, except toluene/NO ,  and recommendations for
                                           /\
future smog chamber experiments.

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                                   8
                     II    INORGANIC  CHEMISTRY


      Many  of  the  inorganic reactions have been reviewed by Demerjian
 et al.  (1974) and by Hampson and Garvin (1975).  Although some of the
 rate constants for these inorganic reactions are being refined with more
 sophisticated measuring techniques, the overall set has become well estab-
 lished.  A recent change has been the photolysis of nitrous acid, HN02-
 HN02 photolysis can be an important source of hydroxyl radicals,  which
 can initiate the organic reaction mechanisms.  Review of the photolysis
 of HN02 and other recent changes in the inorganic reactions are presented
 in this section.

 A.    NO-OH- REACTION

      Recent studies by Atkinson et al. (1975) and Cox 1974 have shown that the
 reaction of NO with hydroxyl radicals (OH-) has a rate constant three
 times faster than the second-order high pressure limit rate constant est-
 imated by Baulch et al. (1973) and recommended by Hampson and Garvin (1975).
 Changing to the new rate constant of 9.0 x 10  ppnf min"  by itself slows
 the rate of smog formation in the mechanism because it is a significant
 but temporary sink for OH-.

 B.    HN02  PHOTOLYSIS

      The photolysis of HN02 to form NO and hydroxyl radicals has  recently
 been  studied by Johnston and Graham (1973) and by Cox (1975).  The absorp-
 tion  cross sections obtained by Graham were used to estimate the photolysis
 constant for HN02 photolysis.  Recently, Graham  (1975) reported an error
 in  his previous observations of the absorption cross sections.  The pre-
 vious data were low by a factor of three.  The faster photolysis rate
 constant agrees with the work of Cox (1975) and  offsets the effect just
 described above from the faster rate constant for the reaction of  NO with
OH-.  The HN02 photolysis rate constants used in the computer simulations
are listed in Chapter III.

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 C.    N02-OH--M REACTION

      The major sink for NO  in smog chemistry appears to be this  reaction.
                           A
 The reaction is in its falloff region at standard conditions and  appar-
 ently has a complicated pressure and temperature dependence.  Tsang (1973)
 investigated this reaction and reported extrapolated rate constants as a
 function of pressure and temperature.   The value of the rate constant at
                                           3    -1    -1
 1  atm for the N02-OH-  reaction is 6.6 x 10  ppm  min  .   Anastasi  et al.
 (1976a,  1976b)  have recently  reviewed  this reaction as  well  as  conducting
 experiments of their own near room temperature and pressure; they  recom-
                           4     1-1
 mended a value of 1.6  x 10  ppm  min  .   We are currently using an inter-
                          o    _1    _ -I
 mediate value of 9.2 x 10  ppnf min" ,  which was recommended by Cox (1975).

 D.    H02-N02 REACTION

      Farrow et al. (1975) postulated aerosols as possible nighttime sinks
 for hydroperoxy radicals (HOp-).  Although aerosol  chemistry may be a
 possible sink, we have not included it in the explicit  mechanisms.  Also,
 the UCR chamber data do not include any information on  aerosols.   An alter-
 native nighttime sink  may be  the reaction of HO* with N02-  Simonaitis and
 Heicklen (1974) estimated a value for the ratio of rate constants  for
 reaction of HO*- with NO and N02 to be approximately 7:1; Cox and  Derwent
 (1975)  estimated a ratio of 10:1.
                            o     _]    _-i
      With a value of 2 x 10  ppm   min    for the HOA-NO  reaction, we
                                                             -1    -1
 find  the maximum rate  constant for HOp-NOp to be near 20 ppm min   ,
 if the products  are  HN02  and  02-   Our method  for estimating  a maximum
 value in  this case was  to  run  simulations  with  various  values of this
 rate constant.   The  net effect of  this  reaction is  to convert N02  into
 NO, because the  HN02 formed rapidly photolyzes.   Since  this  effect is
 opposite  to the  overall  formation  of ozone by conversion of  NO  into N02,
our maximum estimate is in  reality the  value that  begins to  cut back

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                                    10
 noticeably on  ozone formation.  Nevertheless, a value of 20 ppnf min~
 still  provides an  important nighttime sink for HOA radicals.   It is
                       11
 noteworthy that 30 ppnf min   corresponds to the absolute value reported
 by Simonaitis  and  Heicklen (1974) and recommended by Hampson and Garvin
 (1975).   It is below  the value of 180 ppm^min"1 suggested by  Cox and
 Derwent (1975).  Currently, we are  using a value of 20  ppnf min"  to
 give better predictions of the smog chamber data.

      During the writing of this document, Niki et al.  (1976a)  proposed
 that peroxynitric acid is the product of this reaction.  They  found that
 it rapidly disappeared in their chamber but its fate is still  unknown.

 E.   HO^-NO REACTION

      In last year's final report, SAI used a value of  800 ppnf min"  for
 the reaction of HO;, with NO.  Mabey and Hendry (1974)  reported a value of
         3   -1   -1
 1.2 x 10  ppm   min   for this reaction.  Cox and Derwent  (1975) reported
                  3   -1   -1
 a value of 2 x 10 ppm  min   based on  simulations of  experimental data.
                                        3    -1   -1
 We are currently using a value of 2 x 10  ppm  min   for this  reaction.
      In addition  to  the major  route  to  produce  OH-  and  N0?,  this  reac-
 tion  may provide  a minor pathway  to  HON02>  as suggested by Cox and
 Derwent (1975).   Their estimate for  the rate constant for HON00 formation
                                -1    -1
 was about 10  percent, or 200 ppm  min  .  The removal of NO   in smog
                                                           ^\
 chemistry is  stili somewhat uncertain ana this  reaction suggests  not  only
 one more route of removal but  the analogous reactions,  R0;,-N0,  as well.
 As suggested  by Cox  and Derwent,  this alternate path  would presumably
 require a third body and would be competitive only  at high pressure and
 low temperature,  such as those found  in the atmosphere.  These  reactions
are not  included in the kinetic mechanisms  due  to their uncertainties.

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                                   11
F.   HN02 FORMATION

     The formation of HN02 was discussed by Durbin et al. (1975).  The
following two reactions may occur:
                 NO + N02 + H20 -»• 2HN02
                          2HN02 -»• NO
Chan et al. (1976) reported the following gas-phase rate constants for
these reactions:
               kNO-N02-H20 =  2'2 X
                                     -3    -1    -1
                    k2HNO  =  1"3 X "^   Ppm  mi'n
These values have been used in this study.  The value of kNQ MQ  u n
is approximately 10 times slower than the value recommended by
Hampson and Garvin (1975).  The new values are two orders of magnitude
lower than the heterogeneous values used by Durbin et al. (1975).
Therefore, gas-phase production of HN02 through the above reaction is
slow.  Nevertheless, it is noteworthy that Chan et al. (1976) were
unablR to Icsd their chamber without, making substantial amounts of
HN02-  Thus they postulated that either heterogeneous formation occurs
during the gas handling and dilution or localized high concentrations in
the same steps lead to substantial and irregular amounts formed  initially.
These suggestions, of course, have rather profound implications  for both
smog chamber and real atmosphere chemistry.  They have led  us  to assume
that initial and possibly irregular amounts of HN02 can  be  found in the
loading phase of a smog chamber experiment, or even in the  atmosphere,
due to localized high concentrations and/or heterogeneous effects.  The

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                                    12
actual  initial  amounts of HNO? that exist at sunrise in the real atmos-
phere and at  the onset of smog chamber experiments remain important
unsolved aspects of  smog chemistry.  To obtain the proper reactivity in
computer simulations, a small amount (usually from 0.001 to 0.03 ppm) of
HN02 is introduced initially.  The initial concentrations of HN02 may
seem high but no actual measurements of HNOo have been reported by UCR.
High local .HN02 concentrations may be possible initially if there are
regions in  the chamber where NO and NOp concentrations are high, e.g.,
near the area where  the NO and NO,, are introduced into the chamber (Chan
et al., 1976).  Also, HN02 may have come off the walls between experiments
at UCR  (Bufalini et  al., 1972).

G.   HN03 FORMATION

     The reaction of N205 with hLO has been shown to have a major effect
in smog chemistry—primarily after the N02 peak--by Durbin et al. (1975).
Morris  and  Niki (1973) found that for the reaction
                         N90K + H00 ->• 2HNO-
                          £. 5    i        J

the upper limit of the gas-phase rate constant was near 1.5 x 10   ppm
min  .  We have chosen 5 x 10~  ppm" min~  for the rate constant of the
reaction of N205 with H,,0.  This value was chosen to give an overall
optimum prediction of N02 behavior.  Note that this value is much less
than tne ma/iniu;,i estimated gas-pha^e rate.  Thus the heterogeneous com-
ponent of the above reaction may be very small in the UCR chamber.

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                                  13
                      III    ORGANIC CHEMISTRY

     Much of SAI's initial work on propylene/NO   and  butane/NO   systems
                                              X              A
was documented by Durbin et al. (1975)  in  last year's  final  report.
Our work this year concentrated mainly  on  the following:

     >  Improvement of the mechanisms for  propylene/NO
                                                      A
        and butane/NO .-
                     A
     >  Further efforts  in the  development of an  explicit
        mechanism for toluene/NO  chemistry.
                                /\
     >  Testing the combined explicit mechanisms  on
        UCR's combined butane/propylene/NO  data.
                                          A
     >  Developing an explicit  mechanism for 1-butene/NO
                                                       A
        chemistry.

In this chapter, we discuss the results of these  efforts.

A.   PROPYLENE/NOv CHEMISTRY
                 /\

     The explicit propylene mechanism presented last year  (Durbin  et  al.,
1975) has been changed in the following ways:

     >  The addition product of hydroxyl radicals with propylene
        does not include a hydride shift.
     >  A higher rate constant  has been used for  the  reaction of pro-
        pyleie with hydroxyl radicals.
     >  The product of formyl radicals  plus molecular  oxygen is  taken
        as peroxyformyl  radicals.
     >  Changes have been made  in the mechanism of the propylene-0-
        reaction.
     >  Changes have been made  in the mechanism for the urn"molecular
        decomposition of peroxyacetyl nitrate  (PAN).
     >  Propionaldehyde  formation from  the propylene-0 atom  reaction
        has  been added.

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                                   14
These changes are discussed in detail below.

     A major change in the explicit propylene mechanism involves the
treatment of the propylene-OH* reaction.   In  last year's final report
(Durbin et al., 1975), this reaction was  assumed to proceed by addition
followed by a hydride shift to produce alkoxyl radicals.  These radicals
then react predominantly with molecular oxygen to produce propionaldehyde
and acetone.  This treatment has been changed for two reasons.  Recent
measurements of propionaldehyde at UCR are poorly simulated by this
treatment.  More importantly, this treatment  was developed to simulate
high acetone concentrations measured at UCR.   Much of this acetone
apparently came from the acetone used to  clean the smog chamber during
construction.  Experiments performed recently show much lower acetone
concentrations.  We now believe that addition of OH- followed by a hydride
shift is only a minor pathway for the oxidation of propylene.

     Niki et al. (1972) discussed the following mechanism for addition
of OH» to propylene:

                       CoHc + OH-  -f  CH~GHCH0OH
                        30             J    C.
                  CH|CHCH2OH + 02  -*-  CH3CHCH2OH
                     0$
                     I2
                  CH3CHCH2OH -:- NO
                          0.
                          I
                       CH3CHCH2OH  -v  CH3CHO

                           •CH2OH  -»•  CH20 +

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                                  15
The above reaction scheme has been incorporated into the explicit propylene
mechanism as the pathway of oxidation of propylene by hydroxyl radicals.
This pathway leads to equal amounts of acetaldehyde and formaldehyde,
in keeping with most of the UCR data.  However, the most recent data
show considerably less acetaldehyde.  The lower acetaldehyde data have
also introduced a large carbon mass loss in the UCR results.  If future
studies show that these latest results are correct and all the earlier
results with virtually equal amounts of acetaldehyde and formaldehyde
were wrong, then the present mechanism is certainly in error.

      Besides  this  mechanism change,  a  higher  rate  constant  has  been
 measured independently by Davis  (1976)  and Atkinson and Pitts  (1975).
                                                             4     -1    -1
 The new rate  constant for propylene-OH-  reaction is 3.8 x 10  ppm min  .
 A review of Davis1  work on oxidation of olefins is presented in Table
 III-l.   The new value of 3.8 x  10  ppnf min"   is 1.5  times  higher than
 the previously accepted value for the  reaction of  propylene with  OH*.
 Therefore,  the modeling of the  propylene system with  the  higher rate
 constant requires  less hydroxyl  radicals to fit the decomposition curves
 for propylene.  The initial slope has  normally been fitted  by  using an
 appropriate amount of nitrous acid,  which photolyzes  to give the  initial
 hydroxyl radicals.   The required amount of HN02 has always  been near  the
 equilibrium value  (Durbin et al., 1975).  Using less  of this unmeasured
 species appears to be desirable so as  to place more emphasis on the other
 initial sources of radicals, namely, aldehydes and oxygen atoms from
 nitrogen dioxide photolysis.
      However,  the  faster  olefin-hydroxyl  rate  constant creates a  problem:
 the  disparity  between our  simulated  hydroxyl concentrations  and tnose
 measured by Wang et al.  (1975) is  larger and the loss of NO to the
                                                            A
 nitrogen  dioxide-hydroxyl  reaction is  no longer sufficient  to  match
 the  measured  loss.   Although the  high  hydroxyl radical concentrations
 reported by Wang have been explained by Davis  et al.  (1976) as resulting
 from too broad a laser pulse, the inability of the present  chemical

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                                   16
mechanism to account for NO  loss is  a difficult  probl-em.   Davis et al.
                           A
(1976) have also measured much lower  hydroxyl  radical  concentrations
in the troposphere than reported by Wang  et  al.  (1975). •


        TABLE III-l.   RATE CONSTANTS FOR THE OLEFIN-OK- REACTION
                    	Olefin	       (ppm~ min" )
                    Ethylene                    7.9 x 103
                    Propylene                   3.8 x 104
                    1-Butene                    4.8 x 104
                    cis-2-Butene                7.1 x 104
                    Tetramethylethylene         8.4 x 104
                    Source:  Davis (1976).

 2.    Peroxy Rad i c-a 1  Ghemi s try

      Production of  the hydroxyperoxyalkyl  radicals  forms  the basis for
 the organic reactions  producing-ozone and secondary products.   Three
 main areas.of organic  radical'chemistry were investigated in detail:

      >  Reactions of alkoxyl radicals with molecular oxygen and
         themia 1 decompos i ti on.
      >  Reactions of organic radicals with NO  (NO, NOO-
                                              /V        c.
      >  Sinks of organic radicals.

 Each of these areas  is discussed below.

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                                    17
a.   Reactions of Alkoxyl Radicals with Molecular Oxygen
     and Thermal Decomposition

     Reactions of alkoxyl radicals with molecular oxygen have recently
been studied by Barker et al. (1976) and Mendenhall et al. (1975).  Their
measurement of the rate constant for the reaction
                         CH30- + 02 •* HCHO + H0£
                                                    0    _1   _1
is approximately 100 times faster than the 3.9 x 10   ppm  min   rate
constant estimated by Heicklen (1968) and used in the mechanism and the
         311
4.4 x 10   ppm  min   recommended by Hampson and Garvin (1975).  The new
value for the rate constant of the CI-UO' -09 reaction is approximately
        -1-1
0.95 ppm  min   as estimated by Mendenhall et al. and Barker et al.  We
have incorporated this value into the kinetic mechanism.

     Bell et al. (1951) investigated the thermal decomposition of meth-
oxyl, ethoxyl, isopropoxyl, n-butoxyl, iso-butoxyl, and t-butoxyl radi-
cals.  From measurements of the relative rates of abstraction and
decomposition, Bell et al. compared the stabilities of the alkoxyl
radicals formed assuming that the rate of hydrogen atom abstraction is
the same for all alkoxyl radicals.  They found that the shorter chain
alkoxyl radicals are more stable than the longer chain alkoxyl radicals.
The order of decreasing stability is as follows:
         CH30- > C2H59< > n-C4HgO- > i-C^C  > i-C4HgO- * t-C4H90'

The relative ratios of the rates of thermal decomposition measured by
this technique were ^0:1:6:18:70:70.  The order of decreasing stabilities
as listed above correlates with the minimum enthalpy required for decom-
position as discussed by Gray et al. (1967).  Table III-2 lists the
enthalpy required for decomposition.

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                                   18
            TABLE III-2.    THERMOCHEMISTRY OF ALKOXYL  RADICALS

                                         Minimum Enthalpy
                                           Required for
                    Radical
                    CH30-
                    n-C4HgO-
                    i-C3H70-
                    i-C4H90-
                    t-C4HgO-
                                          Decomposition
                                           (kcal mol"1)
                                                22
                                                10
                                                10
                                                 9
                                                 7
                                                 2
                   Source:   Gray et al.  (1967).
     Gray et al.  estimated the rate constant  for the decomposition  of
methoxyl radicals to be comparable to the rate  constant for ethyl  radical
(CH-CH;,) decomposition, which was  estimated to  be approximately
           rnin"  .  For ethoxyl radical  decomposition, Gray et al.
2.7 x
                           ., -1
estimated a value of 0.26 min~  for the rate constant.  Wijnen (1958)
estimated a value of approximately 83 min"  for the rate constant of the
decomposition of ethoxyl radicals based on photolysis of ethyl propianate.
Even though the two estimates differ by a factor of approximately 300,
the decomposition of the shorter chain radicals such as ethoxyl and
propoxyl Is unimportant compared with ^heir reaction with Tioleculsr
oxygen.  This is exemplified by the ratio
                       Rate
                           (o2)
                      Rate(decomp)   k(decomp)
                                         (o)
                                     tf
                                      (decomp)

                                     2300
                                        1

-------
                                   19
assuming that

                       k/0 x ^ 0.9 ppm~ min~     ,


                       k(decomp) * 83m^"'    .

                       [02] -v 2.1 x 105 ppm

The stability of the shorter chain alkoxyl radicals has led us to elimi-
nate their decomposition reactions from the kinetic mechanism.  In the
"explicit" propylene mechanism, the only alkoxyl  radicals formed are
methoxyl and ethoxyl.

     The current mechanism also leads to hydroxy-alkoxyl radicals:

                   (k                      0-
                    I2                      I
                CH3CHCH2OH + NO -> N02 + CH3CHCH2OH

 In this case we have assumed that the unimolecular decomposition occurs
 exclusively:

                      0-
                   CH3CHCH2OH -> CH3CHO + -CHgOH

 This assumption is based on the fact that until the arrival of the
 latest UCR data discussed above there was no mass balance loss.  Hence
 the formation of the acyloin,
                    0'                0
                    I                  I
                   •vCHCHoOH + 0/> •*• CHOC
02 + CH0CCH0OH
 rather than acetaldehyde was unjustified.

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                                    20
b .   Reactions of Organic  Radicals with NO.,  (NO and N00)
      •  -I ----1 ---  'I- -T-1                    •- -     ^'         ~  L-

     The production of ozone from the organic reactions occurs with  the
conversion of  NO to N0? through the series of reactions,


                       R0£ + NO ->- RO- + N02

Only two published laboratory studies of this reaction have been per-
formed, one by Spicer et al . (1973) and the  other by Simonaitis and
Heicklen (1974).  Simonaitis' work disclaimed Spicer 's work,  both of
which were performed at the same laboratory  but with different experi-
mental procedures.  Simonaitis found that the reaction
                       CH302,+ NO.-* CH30- + N02

 leads to the products  shown at  least  80 percent of the time.   From
 Simonaitis1 private  communications, Finlayson and Pitts observed this
 reaction to occur totally  through  the above pathway.  Finlayson and  Pitts
 (1976) in a review article reported later that R0£ and NO react to produce
 NOp and RO- to a very  large extent.   Only the quantum yield of N0« was
 reported by Simonaitis and Heicklen (1974).  We estimate the  rate con-
                                                       3-11
 stant for the series of RO^-NO  reactions to be 2.0 x 10  ppm   min  ,
which is the value measured independently for the rate constant of the
 IIO^-NO reaction by Cox and Derwent  (1975) and Hcndry (1976).   Demerjian
et al. (1974) estimated the RO$~NQ  rate constant to be 9.1 x  102 ppm"1
   - 1
min   based on the value they used  for the rate constant of the
HO^-NO reaction.

     The reactions of peroxyalkyl  radicals with nitrogen dioxide were also
studied  by Simonaitis and Heicklen  (1974).  They found the ratio of  the
rate  constants was k/RQ. .Mn^fRO'-NO ) = 2>2>  Their conclusions are in

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                                    21
 agreement with  Spicer et al.  (1973),  who  presented  the  possible  pathways
 for the reaction of CH^ and N02 as:
                                     HCHO + HN03
The third reaction path was found to be unimportant.

     The peroxynitrate formed in the first reaction may react with N02
to produce methyl nitrate or with NO to produce methyl nitrite, according
to Spicer et al.  Simonaitis and Heicklen do not give a definite
mechanism for reactions involving the peroxynitrate.

     We are not including the R0;>-N02 reactions in the kinetic mechan-
ism until more definite evidence is found for these reactions.  As in the
case of the reaction of H02 with N02, the peroxyalkyl radical reaction
diminishes the formation of ozone.  The ozone formation chemistry as
presently understood requires a high NOp/NO ratio to produce ozone.
This ratio is thought to be increased by peraxy radicals.  Thus, any sig-
nificant reaction of ROA with N00 would limit this ratio and demand some
other method of producing ozone or some other means of increasing this
ratio.

     The series  of, RO--NO reactions has been studied by Batt et al.
(1975).  They found that the primary pathway is the formation of an
alkyl nitrite:

                RO- + NO -> RONO ,  k = 4.9 x 104

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                                    22
 A second pathway is also discussed by Batt et  al.:

                                             3     -1    -1
        RO- + NO •* RCHO + HNO ,   k = 9.8 x 10  ppm min

 The activation energies for several different  alkyl  groups  were found to
 be near zero; there seems to be no dependence  on  the alkyl  group in the
 alkoxyl radical (RO-)-  Apparently, the alkyl  nitrite formed rapidly  .
 photolyzes to form the alkoxyl  radical  and nitric oxide (Calvert and
 Pitts, 1966).  The rate of photolysis seems uncertain.   At  moderate
 photolysis rates, simulations with nitrite chemistry show an irregular
 bulge in the propylene decay curve that does not  correspond to the smooth
 decay curves reported by UCR.  Although some of the  NO  missing from
                                                       /\
 the NO  mass balance analysis may be in the form  of  nitrites,  we decided
       A
 to leave the nitrite chemistry out of the mechanism  because of the
 uncertainty in the overall  photolysis rate.

      The series of reactions involving  alkoxyl  radicals and N0~ has re-
 cently been studied by MendenhaTl  et al.  (1975) and  Barker  et  al.  (1976).
 Mendenhall  et al.  found the value of the rate  constant for  RO--NO, to
            3-1-1
 be 7.8 x 10  ppm  min  , and  Barker et al. found this rate constant  to  be
 1.5 x 104 ppm  min  .  Mendenhall  et al.  estimated their results from
 the pyrolysis of n-propyl  nitrate and assumed  the activation energy to
 be zero.   Barker et al.  calculated their results  from estimates of the
 ratio  for k(Ro.-NO)/k(P.O--N00)  =  2 ±  1,  using  the  value of  Batt et al.
 for  the  rate  constant for R0t--N0  to estimate the  RO--NO,  rate  constant.
                                411
 We are using  the value of 2 x 10   ppm  min"  to improve the  fit of the
computer simulations  to UCR's nitrate data, which are available for ex-
periments EC-60, "95,  96, and  121.

     Two reaction paths have  been  reported for the series of R0--N0?
reactions:

-------
                                   23
                         RO- + N02 * RON02

                                   b
                         RO- + N02 + RCHO + HN02

Barker et al.  (1976) estimated the ratio k./k  to be 0.3 from pseudo-
                                          D  a
steady-state calculations.  Baker and Shaw (1965) concluded that kb/ka
is approximately 0.11.  Wiebe et al. (1973) reported a value of 0.11  for
the ratio of k./k .   We are using a ratio of 0.11 for the computer simu-
              D  a
lations in order to be consistent with experimental observations.   We
have placed the above two reactions in the kinetic mechanism.

c.   Sinks of Organic Radicals

     For the major sink of peroxyalkyl and peroxyacyl radicals in  the
kinetic mechanism, we have used the reaction with HOA,

                         R02 + H02 ->• ROOM + 02

                         0            0
                         II            II
                        RC02 + H02 -» RCOOH + 02

We estimated the rate constants for these reactions based on the rate
constant for the recombination of HOA radicals,
                                                         3    -1   -1
Hampson and Garvin (1975) recommended a value of 8.3 x 10  ppm  min
for the recombination of H0_ radicals.   In  order to  fit  the  highly reactive
experiments such as  EC-5, we assumed  that the  HOA-HO;  reaction  rate  con-
               31-1
stant  is 4 x 10  ppm min   , which  is the value recommended  by  Lloyd (1974)
and the lower  limit  recommended by  Hampson  and Garvin  (1975).   We also
assumed that ROg radicals will react  at  about  the  same rate  as  HOx radicals.

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                                    24
We have chosen values of 1 x TO4 and 4.0 x 10  ppnf min"  for the rate
constants of the reactions of peroxyacyl and peroxyalkyl radicals with
H02 radicals as upper limits to simulate the UCR data.

      Another possible sink of peroxyalkyl  radicals is  the  formation  of
 alkoxyl  radicals through peroxyalkyl  radical -peroxyalkyl radical  reac-
 tions.   Simulations using these radical-radical  reactions  have  shown them
 to be unimportant in the propylene  series  of experiments,  but they could
 be important in the propylene/butane/NO  system discussed  later.  In. the
                                        /\
 propylene system of experiments the highest peroxy radical  concentrations
                           _2
 in our  simulations (9 x 10   ppm) were  found  in  experiment EC-18.  The
 radical -radical  reactions would be  unimportant  unless  their rate  constants
                     4    -1    -1
 were at  least 1  x 10  ppm  min  .    The concentrations  of  the peroxy radi-
 cals are controlled to some extent  by their reactions with nitric oxide,
 for which we have taken. rate constants  to  be  2  x 10 ppm"  min"  .

      Peroxyacyl  radicals  may^not react  with HOA  at the  same rate  as  per-
 oxyalkyl  radicals.  We lowered the  peroxyalkyl  radical  rate constants
 to fit the  sharp  ozone rise  seen in EC-5  (and also, to  a lesser extent,
 in EC-11).   Using  the same constants  for  peroxyacyl radicals, however,
 allowed  too  much  PAN to form  in1 the simulations  of  EC-11 and especially
 EC-18.   Therefore, we  have speculated that  the peroxyacyl  radicals may
react with hydroperoxy radicals at  a much, faster rate,  1 x 104  .
     Highly different ratas for radical -radical reactions  involving  per-
oxy radicals have recently been seen by Whitbeck et al .  (1976).   Although
their combination rate for ChLOA radicals of about 500 ppm" min"   agreed
with Parkes et al . (1973), the combination rate for (CH3)3GO*  radicals
was found to be about three orders of magnitude slower.  Demerjian et al .
(1974) also discussed the possibility of very divergent  radical-radical
rate constants based on the liquid-phase work of Bennett et al.  (1970).

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                                   25
3.   Reactions of Olefins with Nitrate Radicals (NO;)

     Japar and Niki (1975) performed a study of the reactions of NCU with
a series of olefins.  Table III-3 lists their comparisons of the rate
                                     2
constants of the reactions of N(k, 0( P), and 03 with olefins.  For the
short chain olefins, the rate constants for the reactions with NOj are
1000 times lower than the rate constants for the reactions involving
  2
0( P), yet the rate constants are similar for longer internal olefins.
In anticipation of future UCR experiments involving longer chain olefins,
we added the reaction of NOi with olefins to the kinetic mechanism.  The
                                                                      -1
rate constant employed for the reaction of propylene with NOA is 8 ppm
   -1
min  .  The products observed by Japar and Niki for this reaction were
N02 and a compound that absorbs near 1670 cnf  in the infrared region.
The significance of this reaction can be completely assessed only after
further experimental work is performed by UCR on longer chain olefin/
NO  systems.  The nitrate reaction will reduce or eliminate the signifi-
  J\
cance of the formation of nitric acid via the reaction of dinitrogen
pentoxide with water:

                              NO' + N02 £ N205
                             N2°5 + H2° "*" 2HN03

Also, competition for the nitrate radical; which usually reacts with NO,

                               NO^ + NO -> 2N02

could lower the ozone produced from the internal olefins by removing
this source of conversion of NO to NO,,.

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  TABLE 111-3.   COMPARISON OF THE REACTIVITIES OF 0(3P)  ATOMS,  OZONE, AND NO, TOWARD OLEFINS
                                                   Rate Constant (ppm  min   )
      Olefin
Ethylene
Propylene
Propylene-dg
1-Butene
Isobutene
trans-2-Butene
cis-2-Butene
2-Methyl-2-butene
2,3-Dimethyl-2-butene
k 3 *
0\ P J
9.2 x 102
5.3 x 103
--
5.3 x 103
2.2 x 104
2.7 x IP4
2.2 x 104
7.4 x 104
9.6 x 104
V
3
2.8 x 10"3
1.9 x 10"2
2.2 x 10"2
1,8 x 10"2
2.1 x 10"2
3.8 x 10"1
2.4 x 10"1
7.2 x 10"1
2.2
kNO,
J
1.37 ± 0.15
7.82 ± 0.44
8.71 ± 0.59
11.5 ± 1.2
162 ± 14.8
207 ± 14.8
266 ± 29.5
8120 ± 738
54600 ± 7380
ro
*                             o     ]    ]
 Based on k(£:3H6-0>) = 5.3 x 10  pom" min", Stuhl and Niki (1971),  and the  relative
 reactivities of Cvetanovic (1963),
fJapar et al. (1974).
Source:  Japar and Niki (1975).

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                                    27
4.   Formyl Radical Chemistry

     Formyl radicals are produced by the photolysis of aldehydes and by
reaction of hydroxyl radicals with formaldehyde.  Until recently, hydro-
peroxy radicals (HOp) and carbon monoxide were the only species produced
from the reaction of formyl radicals in air according to our mechanism
(Durbin et al., 1975).  Formyl radicals undergo the reactions:
                   HCO* + 02 -»• HC-0-0.  (peroxyformyl radical)
                   HCO' + 02 + HO^ + CO
The ratio kurn./kun. rn has been studied by Osif and Heicklen (1975),
who found a vaTue of approximately five.  Niki et al.  (1976a) studied
the products of the oxidation of formyl radicals.  Using a Fourier-
transform infrared spectrometric technique, they found that over 50
percent of the reactions of formyl radicals with molecular oxygen formed
peroxyformyl radicals.  Therefore, the main reaction path is the formation
of HCOA radicals.  The formation of HCO, has an effect on conversion of
NO to N02 primarily after disappearance of propylene.   There is an in-
crease in ozone production  because the peroxyformyl radical  is  assumed
to react with NO in the following manner:
     HCOJ + NO
N0
H02
            C0
k = 2 x 103 ppm^min"1
      m'2 + NO
N02 + OH-
The exclusive formation of HO^ from HCO--02 produces only a single
conversion of NO.  Including the formation of HCO^ has led to improved
fits of most UCR experiments by the kinetic mechanism.

-------
                                    28
5.   Aldehyde Chemistry

     The importance of aldehyde chemistry has been discussed by Hecht
et al.  (1974b) and by Durbin et al. (1975).  The emphasis of the present
discussion  is on  fitting the decay of aldehydes as seen  in the UCR data.
If the  decay of aldehydes  is not matched, then the rate  of radical pro-
duction from their decay will be incorrect.
                                \
     Aldehydes decay in the present mechanism by essentially three paths:

     >  Photolysis to give radicals.
     >  Photolysis to give stable products^
     >  Reaction  with hydroxyl radicals to give acyl radicals, which
        in  turn immediately react to give peroxyacyl radicals.

The light intensities and  hydroxyl radical concentrations in our simula-
tions of UCR experiments produce comparable decay rates  for photolysis
and hydroxyl radical reactions.  The mechanism itself also tends to
equalize the two  modes in  that the photolysis supplies radicals which,
after some  radical transfer reactions, produce hydroxyl  radicals that
react with  the aldehydes.

     Herron and Penzhorn (1969) estimated the lower limit for the rate
                                           311
of the aldehyde-OH- reaction to be 9.8 x 10  ppm  min  .  We had been
                           4    -1   -1
using the value of 2.1 x 10  ppm  min   measured by Morris and Niki
(1971).  Volman and Gorse  (1972) estimated the rate constant for the
reaction of propionaldehyde with hydroxyl radicals to be approximately
5.6 x 103 ppm  min~ .  We  are currently using a rate constant of 1  x 104
to predict aldehyde decay  behavior.

-------
                                   29
     Photolysis of aldehydes was discussed in last year's report (Durbin
et al., 1975),  It was suggested that more spectral data were needed to
account for any changes that might occur in the aldehyde photolysis  part
of the spectrum (the short wavelength end).  These changes might be  dif-
ferent from the nitrogen dioxide photolysis part of the ultraviolet  spec-
trum (primarily the long wavelength end).  The last few runs from UCR
have included spectral measurements.

     Two important results of having spectral data and therefore reliable
aldehyde photolysis constants data have been the following:

     >  The decay curves of aldehydes can be fitted by choosing
        the proper hydroxyl radical rate constant—either the
        published value (2 x 10 ) given by Hampson and Garvin
        (1975) is too high or our model has too many hydroxyl
        radicals, as indicated by the lower value (1 x 10 )
        discussed above.
     >  The magnitude of the maintenance source of radicals from
        aldehydes can be specified with greater accuracy.  Some
        uncertainty still exists here because the quantum yields
        of the aldehyde photolysis reactions are uncertain.

6.   Olefin-03 Reactions

     There has not been any major change in the mechanism for the reac-
tion of propylene with 0,   Ths 9'Neal-Blumstein m«char,-ism (1973) is
still incorporated in the propylene mechanism with a minor change for
the production of peroxyformyl radicals and ozom'des.   The ozone-
propylene reactions are as follows;
          C~HC + 00 -»• HCO; + CH,CHO + OH-   ,   k = 0.005
           3 O    3      J     <3

                   °2
          C0HC + 00-»- HCHO + CH,C(0)0; + OH- ,  k = 0.005 ppm^min'1
           o b    j            <3     c.

-------
                                   30
                          A°\
                      CH3CH    CH2   ,   k = 0.005
The injection of radicals from these reactions has a major effect on
reactivity.  There may be some evidence that these reactions do not
give as many radicals as we had previously assumed.  At the 1976 ACS
national meeting, Niki et al. (1976b) reported seeing stable ozonides
from the ozone-propylene reaction with an FTS detector.  We have found
that a 33 percent pathway from the ozone-olefin reaction gives better
predictions of species behavior.  Yet, there is still a major uncertainty
as to the products of the ozone-olefin reactions.  The key points of
uncertainty are as follows:

     >  The extent of stable ozonide formation is not known:
        it could be either a major or only a trivial  fraction
        of the reaction. -
     >  The need for either reaction path depends on the
        acetaldehyde/formaldehyde ratio, which has not been
        consistent in the UCR data.
     >  The need for a maintenance source of radicals depends
        on the NO  sink and whether or not removing NO  would
                 X                                    X
        remove radicals.

7.   PAN Chemistry

     Recent investigations of peroxyacetylinitrate (PAN) chemistry hy
Pate et al. (1976) have led us to change the products of the decomposi-
tion of PAN from NO^, C02, and CH^ to CJ^CO^ and N02.  Pate et al.
presented a mechanism (listed in Table III-4) to account for the kinetics
of PAN decomposition and the observed products.  We used the mechanism
to model their data presented in Figure III-l.  In the Figure III-l two
sets of simulations are presented.  The first set  (represented by X's)
represents our efforts to fit the bottom curve  (NOQ = 26 ppm).  When
the bottom curve is closely predicted, the top curve  (NOQ = 93 ppm) is

-------
                   31
TABLE III-4.   MECHANISM FOR PAN DECOMPOSITION
              0           0


           CH3COON02 -* CH3COO
           0
           y
        CH3COO- + NO
                   £ -»• CH3 + C02
            CM'
            CH3 + NO •*• CH3NO
                  NO
                  NO -»•  CH3ONO
         CH.O' + N00 * CH.ONO,
           J        L      6   t

-------
                           32
                                           EXPERIMENTAL  DATA
                                    X   X  COMPUTER SIMULATIONS
                                   	 COMPUTER SIMULATIONS
                                         NO = 93 ppm
                                       NO = 26 ppm
                               80
                           Time—minutes
 Pate et al. (1975).
FIGURE  III-l.  PAN CONCENTRATION VERSUS  TIME FOR THE
                REACTION  OF PAN WITH NO  IN AIR

-------
                                   33
o\erpredicted.    The  second  set  of  simulations  (represented by dashes)
shows our efforts to  simulate  the top  curve.  When  the  top curve is
closely predicted,  the  bottom  curve is underpredicted.  Unfortunately we
have been unable  to successfully simulate  their experimental data using
any of several combinations  of rate constants or extra  reactions.  The
chemistry of PAN  in all the  systems we have modeled and discussed in this
report may be in  error.  The extent of occurrence of the various pathways
for peroxyacyl radical  formation, especially in olefin systems, is  un-
certain.  The relative  rates of  reaction of these radicals with NO  and
N02 are still uncertain.  Finally, any alternate paths of reaction  for
the peroxyacyl radicals other  than the ones we have used are not cer-
tain.  Hence more work  is required to clarify the roles of PAN chemistry
and peroxyacyl radicals in smog  formation.

8.   Propylene-0  Atom Reaction

     In the later UCR runs (EC-95, 96, and 121), propionaldehyde was
observed as a minor product.   The propylene mechanism did not contain
the production of propionaldehyde.  To follow the UCR data, we added
the following reaction  pathway for the propylene-0 atom reaction:

                          C,HC + 0 -> CHQCH0CHO
                           O D         O  C

This reaction is  believed to occur  (Niki et al., 1972).  We assumed that
propionaldehyde is produced in one-third of the propylene-0 atom
reactions.  The other two possible pathways for this reaction are:
C3H6 +
202
0 -> CH3CH20£ H
0
i- HCO
                               202    0
                      C3H6+0  -  CH3C02+CH302

-------
                                   34
We assumed that each of the pathways accounts for one-third of the total
reactions.  The overall effect of the propylene-0 atom reaction is the
initial generation of alkyl radicals required for NO to NCU conversion.

9.   Simulation Results

     Presented in Table III-5 is  the explicit propylene mechanism.   Table
III-6a lists the initial  conditions  for each simulation, and Table III-6b
shows the photolysis rate constants.  Figure III-2 shows the factorial
block for this system.   Figures III-3 to 111-64 show the results  of our
simulations of the propylene/NO  system.*  In the EC-50 series of UCR
                               A
runs, UCR performed three experiments with the same initial conditions
(EC-51, 52, and 57).  We performed simulations of an "averaged" run
consisting of these three experiments (EC-5127).  The data from each
of the runs were averaged by taking  a simple arithmetic mean for each
data point.

      In  addition to simulating the  UCR  data, we systematically examined
the  carbon  mass  balance  in the propylene/NO  system  in  an  attempt to de-
                                           J\
termine  the nature  and importance of undetected carbon-containing products
in the smog chamber.  After  correcting  the reported  concentrations  for
chamber  dilution in the  sampling process, we summed  and  compared the reac-
tant losses and  product  gains  in units  of ppmC, the  difference being the
carbon mass discrepancy.   The  calculated carbon recoveries  for various
runs are  shown in Table  III-7.  The decrease of percentage  recovery with
time in  the propylene/NO  system appears to  be accounted for  by  CO  and
                         /\
C02  production at later  times.  The duplicate  run (EC-121)  produces sig-
nificantly  lower recovery  percentages which, when considered  with  the
apparent  overprediction  of acetaldehyde by our mechanism,  could  indicate
either a  systematic error  in the new acetaldehyde detection method  or a
need for  changes in the  mechanism.
  In all  figures  showing simulations of the UCR data, the symbols
  *, +, and  x are used to represent the experimental data.

-------
                                     35
             TABLE 111-5.  THE PROPYLENE/NO  MECHANISM
                                                /\
                                                               Rate  Constant

                       Reaction .(pprn-1  min-T)
N02 + hv -*• NO +  0(3P)                                          Experimental*




0(3P) + 02 + M * 03 + M                                          2.08 x 10"5




0(3P) +  N02 - NO +-02                      .                      1.34  x 104




Oj +  NO •»• N02 +  02                                            25.2




0(]D) + H20 ->0 + M                                              8.6 X 104




0(^5 4 H20 •*- 20H-       .                                     5.1 x 105




03 + OH- -*•  H02 + 02                                           87.0




°3 + H02 *  OH*  + 202                                          ] '2



0- + N09 •»-  NO, + 0,                                           5 x 10"
  O      £~     O    
-------
                                    36
                        TABLE  III-5  (Continued)
                        Reaction
 2HN02 •»• NO + N02
 HN02 + hv * OH- + NO
 N02 * OH'- (+ M) -•• HN03(+  M)




 NO + OH- •*• HN02
 H02 + NO •»• OH« + N02
 H02
             HN0
        hv •* 20H«
 CH3CH=CH2 + 0 *  CH3CH2CHO


               20
 CH3CH=CH2
               20
 CH3CH=CH2  + 0
                  9
 CH3CH=CH2  + OH- -* CH3CH(02)CH2OH
CH3CH=CH2  +'
CH3CH«CH2
CH3CH=CH2
                   N02 + Products
                -* K2CO + CH3C{0)0| *  OH-



               >• CH3CHO + HC(0)0^ + OH-


                       0

                -»- CH3CHOONCH2


                  °?
                NO -£  N0  *  CHCH0 +  C0
            NO
HC(0)0| + NO -£ N02
                                                              Rate Constant

                                                              (ppm-T  min-lj




                                                               1.3 x  10"3
 Experimental*




 9.2 x TO3




 9 x TO3




 2 x 103




 20   •




 Experimental*




 1.77 x  103




 1.77 x  103




 1.77 x  103




 3.8 x 104




 7.82




 5  x 10'3




 5 x  10"3




5 x  10"3




2 x  103




2 x 103




2 x  It)3

-------
           37
TABLE III-5  (Continued)
                                    Rate Constant
 Reaction
CH3CH(02)CH2OH + NO -*• N02 + CH3CH(0-)CH2OH
CH3CH20£ + NO •* N02 + CH3CH20-
CH-Oi + NO •»• NO, + CH,0-
O f. dj
CH,C(0-)CH,OH -2. CH.CHO + H,CO + HO;
32 3 2 2
^u f*u rt» j. ft >Vi ^u r*urt j. uo*
un^UflpU T u* "*• ^n«UnU T nU«
j £ £_ £
202
H2CO + hv — * HO^ + HC(0)02
H2CO + hv * H2 + CO
20,
CH3CHO + hv -4 CH30^ + HC(0)02
CH,CH,CHO + hv — 2 CH,CH,OA + HC(0)Ox
O c. J t. e. c.
0,
H2CO + OH- -» HC(0)0^ + H20
CH-CHO + OH- -^ CH,C(0)OJ + H,0
o j c c
CH3CH?CHO + OH' -1 CH3CH2C(0)02 + HgO
CH_CH,C(0)0« + H0« •*• CH,CH,C(0)OOH + 09
o i. C f. 4 c c.
CH3C(0)02 + H02 * CH3C(0)OOH + 02
HC(0)0^ + H02 * HC(0)OOH + Og
CH3CH(02')CH2OH + H02 * CH3CH(OOH)CH2OH + 02
CH,CH00^ + HO^ •* CH-CH-OOH + 09
3 Z i i 3 c. i
2 x 103
2 x 103
2 x 103
3 x 105*
0.95 •
0.95
Experimental*
Experimental*
Experimental*
Experimental*
1 xlO4
1 x 104
1 x 104
1 x 104
1 x 104
1 x TO4
4 x 103
4 x 103

-------
                                          38
                              TABLE  III-5  (Concluded)
                                                                             Rate  Constant

                        Reaction(ppnH
 CO + OH^ -  H02 + C02
* Units of Bin"1.

t Units of ppm^min"1.
 CH302- + H02' •»• CH3OOH + 02                             •                      4 x IO3



 W2 + H02 - H202 +  02                                                       4 X 103



 CH3CH2C(0)02  + N02 •»• CH3CH2C(0)02N02                                        4 x 102



 CH3C(0)02 + N02 •»• CH3C(0)02N02                                              4 x IO2 •


                                                                                     -2*
 CH,C(0)0,NO, -»• NO, + CH-C(0)0,                                               '•' x  10
    3     C.  f.     i.    J     *


                                                                                   -2*
 CH3CH2C(0)02N02 - MO + rw ru rfr\\n>                                         2 x 10
 CH30- + N02 * CH3ON02                                                       2 x 104



 CH30- + N02 * H2CO + HN02                                                   2.2 x IO3



 CH3CH20- + N02 * CH3CH2ON02                                                 2.0 x 104



 CH3CH20- + N02 •* CH3CHO + HN02                                              2.2 x TO3
 CH3CH(02')CH2OH + CH3CH(OpCH2OH -*- CH3CH(0.)CH2OH  + CHgCHflHCHgOH + Og       4 x 10
,3

-------
                         39
TABLE III-6a.  INITIAL CONDITIONS FOR SIMULATIONS

               OF UCR PROPYLENE/NOV SYSTEMS
                                  /v
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
NO
(ppm)
0.551
0.115
0.504
1.12
0.105
0.106
0.558
0.53
0-48
0.311
0.124
1.11
0.365
0.349
0.41
N02
(ppm)
0.047
9.020
0.018
0.156
0.015
0.0142
0.066
0.06
0.121
0.283
0.481
0.145
0.092
0.09
0.101
Propylene
(ppm)
0.993
0.447
0.500
1.036
0.103
0.972
0.104
0.52
0.524
0.511
0.51
1.04
0.504
0.500
0.483
HN02
(ppm)
0.01
0.003
0.03
0.025
0.005
0 .001
0.02
0.01
0.02
0.015
0.005
0 .02
0 .01
0 .005
0.03
kl
(min~')
0.223
0.223
0.223
0.223
0.223
0.223
0.223
0.213
0.209
0.208
0.204
0.204
0.351
0.351
0.300

-------
                                            40
 Run
Dumber
   5
  11
  13
  16
 ' 17
  18
  21
           TABLE  III-6b.   PHOTOLYSIS RATE CONSTANTS FOR  SIMULATIONS OF
                            PROPYLENE/NOV  SYSTEMS  (TO4 min-1)
         29,7
          75
         468      7.0
                                             HCHO->H"t-HCO-
                     5.5
                                                              18.0
3.5
   i
 55 J
 0.65      63
         430      3.8
                     2.9
                                                     12.6
                                                                         1.6
            1.5
56

59)
60 j
          0.3
           55
          0.18      52
         435      3.4
                   410       3.0
                     2.0
                              1.4
                                                              12
                                  10
1.3
                                                                          0.8
                                                                                       1.9

                                                                                       1.2
 95 i
 96 J
27
270
670       9.1
                                       11.0
                                           28.0
                                                                         8.0
            8.0
121
39
300
570      6.9
                                                  7.5
                                                     21.0
                                                       5.5
                                                                                     6.0
                              1.0
                              0.5
                              0.1
                                   x21
                                   x!7
                                    t
                                      13
                                      95  56
                                      96  59
                                     121
                                     xll
                                               c16
                                               C60
                                     x5
                                     x!8
                                   0.1        0.5        1.0
                                            Propylene--ppm
                    FIGURE III-2.   FACTORIAL  BLOCK FOR PROPYLENE/
                                     NO   SYSTEMS

-------
                                           41
           0-03
           I - 10
           3 - *02
                  2                 •  •
              *     a                       •
     *              a            «          00*00000000    oo    oooo
• .45

      P.
            a
                        a     o
                            o
                         a  o
                        o   a

                       ox      a
                               a

                                 >
          X It »
                  o •                      a

•.w.  a                          *          *aa

                                     x          t a


      ,'
      *                                                 a  a

    a          no •      »                      x
                           +   •+  +
                                                                    34)0. *Q       90*. t


          t*>«      . SPECIES 03  m  noa     concwmuTio.i pcux r*cro»  i**«
                                   FIGURE  III-3
             P - PROF
             A * ALD3
 l.«0*
    I
    IP

       P
       P
       • r
          p
             T
              I
 t.73+         *

                P
                                    I i  I  1  I U A          »
                               i I +             i » i 1 A
                                             4            4  a  A
                    A          P
                   A           *

                A*
                A                  I
              A

             A
                                            P«P               -
                                              P •
                                                P P •
                                                     P P  P*
                                                             P  P •  P   BP    F«  P P
           EC~s      .  SPECIES rnor AUU        coHcurmATioii muix p«cttm
                                   FIGURE  III-4

-------
                                        42
                            r » r r r
                           p         '  T

                                         "',,
                                                           r

                                                                 r
           r

           r
                                         »       f  p  r*
                                            rp r r
                                        p IT
                                  «   p
   r          .        rr
  r                 p«p
                   p
ir           r «pp pp                  		

           *~~          '      ~~~	       	      '	        304.0*        360.00


       EC-»      . CPECIIS  rom not         concornuTloir vcux FACTOR  1*40
                                FIGURE  II1-5

-------
                             43
                                           O    •    O    3
              * e »  «   •
                                                         •  *  *
 o

o
  W.M      190.••

  11    . vccica o»
                                                  300.04      Mft.OO     400.1
                     FIGURE III-6
                                                    a
                                                    *  «*
   C*.
-------
                                         44
          r - nor
          A - AUU
          r - ron
       T


• -»*•     H
              I
               r*
                r
                                                                            X FORMALDEHYDE
                            X * *  A                     A •   A
                       f  A A                                      A    A
                         Arrrrrprr                              A
                     A A r r                         r     T                            A

                     '''                                   r    r            * AcnALKHYK
                AT
                xr
              *r
              r
          r
         r
        r
            M.M      IM.M      IH.M       MO.M
                                        TIIK mmumn


         K-II     .  Fncm rmr ALU row    awcnmiATiM RULK tusvm  ••»•
                                 FIGURE  II1-8
                                                               p     r     r
                                                          T
                                                 r  T
                               r

                             T
                      •   r
                         r
                • r
                 p
                p
               rp
    •       •*.••      IM.M      IM.H       SttO.M       SSt.ft*       30*.flO
                                         TIIK IHINtfTlatl


          ton     . ipnin  PAI            CMcnmuTiMi KAUE riciwt  iw*
                                 FIGURE  II1-9

-------
                                 45
    0-03
    • - no
    a - KOZ
                                                *   *  *   *O O*O O* 0*  O
                                                      O  O            i
                                               0   0
       R    « 0
         I   0
         I  O
         *R O
         OO II
      •  0+1
       OO     in
« OOO'OOO          R
                                                                    O.OO      400.1
   BC-I»    . tree in os   ra  MI     cuncxjmuTiaii NCALC rAcm_ !••*
                           FIGURE 111-10
               «   r r f
               TT T
                       r r  r r r •
                                                   r   r
                                          • •   »  p»
                                                   r*  «   r«p r r  r«  r* r •  r
               cm nor row        coKnrnuTira KIU FACTMI
                           FIGURE  III-ll

-------
                                    46
                                                          A   *
                                                             A A A

                                                                  A  A
                                                                       A   *
                                                                              r
                                                                i T  r-  T  r

                                                           T  "
 A                                        r  r
                              •        r
A                                  r

                     •  . f r  f '
                      r r
           »f rm »r r r
       W.f*      IM.M       159.OO      2UA.MI    '  25*. 00       304.04       3S*.M
                                   Tint ini>vnsi

    BO-I*     .  tncia AUI fM        concnmATHMi SCALE r*crwi  i»«i»
                             FIGURE  111-12

-------
                                47
                                        0
                                    »  o
                                     o
                                  « o
          wo ooo* «oo
                          FIGURE 111-13
                    00 O 00
                  • O     0
                  O «       CO
      I

      I
        •  II
       •o    •
       o    •
•.4*    •
              «>
               *
                •
                 I
                 «*
                       »« » p» it « mni« •*
                          FIGURE 111-14

-------
                                          48
           r - nor
           r - roan
 i.i*.
    r

      T
        r
 ».»**     p
                     rr *
                       r
                        r
                              r         rrr r  F  r r r
                               r     r r r                r   r
                             «  r F r                           r   r
                              F F r                                   F
                          FFF       F                                     F F F
                                    • F                                        FFF
                                                   • F

                                                      « F
                                                         «  P «
                                                               F - F

                                                                    • r *  r -r r»r r mr
                           FROP FOKH       COKUTTIUTIOII BOOC ricm* !•*•
                                 FIGURE  111-15
           F - Ml
           A - 1LM

•.••*
                                              A A A A  A
                                         A A'               A
                                        U                     A

                                                                  A
                                                                        A A
                                                                            A

                                                                             AA <
                                                                              r r F
                                                             «            rrr
                                                                     r
                                                                  r
                                                           r  r
                                                        r
                                                   r  r
                                         •      r
                                              r
                                           r
                                   •     r
                            .    rr "
   A                  • rr rrr r rr
    •       M.M       Itt.n       IM.M      WO.**	   • IM.M       M».M      •».•*      nt.tt
                                         TIKE ini«nm


         ec-u     .  «rrcira PA»  tun
                                 FIGURE  III-16

-------
                                 49
       • - 00
       * - KO
       9 - Ma

                              •    0

                  9923   *   O
                                             *

                                                *  *   *
      cc-ir    .  vrccira «3  HO  *oa
                          FIGURE  111-17
a

  F
                                     til
                             A A *  »          »   A
                            »    •          •
                • F A  A
                  A F
                A  »
              A       F F
           « A A         F
           A           •  F F
          A                F


       "'
       A

  A                                          •       F
                                                •  «   • F   F
IA                                                       •  •
                                                                 •  F
      EC-IT    . •raciu rnor ALM       coiKnnuTiw mx rmwi
                          FIGURE  111-18

-------
                                          50
           r - raw
           p - rut
•.•a*
                                      p r   r  r  r  p                       «
                                 p  p p                  p    r     •
                            »  pp p                                P
                            p p                                      P
                          p                                              r
                        p                                                    p

                      p                                                            r
                    p
                  p
•.02


        P
                                                                 ,   P   '   '     '
                                                         r    r
         EG- IT     .  vrccics rowi r*>        concumuTioi RULE FACIW i»*»
                                 FIGURE  III-19

-------
                                  51
                                                        aoo.M      ase.ftft      4o«.oo




  EC-IB     . VTCCIES  93            COUCCJrniATlQ* tiCALJE fACTML  !•*•
                         FIGURE  111-20
                           J


                              a
•    »   *
 t          •   *
  mm imm p • • • •
          . VTERIC9 ROB M         OMKCirnuiT
                         FIGURE  III-21

-------
                              52
                        r  *   *
                          r     *
                              r     * «
                                 r       «
                                     r   r
   M.M      i««.«e      iso.to



EC-it     . vnscia nor          COJ»CEJ*TIUTIO» SCALE FACTOR  i»*»
                     FIGURE  II1-22
                                    *   '    T    *
                                                     '    '    r
                          T


                       r
                     T
               F


             r
    r •

   r •
                            coflcuffiuTion neat.
                    FIGURE  111-23

-------
                                          53
           r - ronn
           A - AU»
•.to*
                                                                                • ACETALOEtffOe
                          A  A     rrrrr   rr    r .
                         *   r  r                                r    r
                       * r r                                               r     r
                      A r                                                              r
                   A A r
                * A r
                A r
               AT
               AF»
            A
                  . •ractc*  ronrt Aua        CMCEfnfMTiofl KAIX TAcroa  i»**
                                  FIGURE  111-24

-------
                     54
                FIGURE 111-25
  M.M




tc-«l
                 IM.M     20*.M    >M.M
                FIGURE 111-26

-------
                                55
                                                          *     •
•     !•.••      1M.M      1M.M      SDO.IMt      26*.«*



    ic-li    .  irecin ru          cwcanMTiM >uu r>cn»
                         FIGURE 111-27
                 r r
                    r            «
                      r
                        • r •
                             r   r   r   r
                    r r  r   •  r
                 r r  »           •  *r
               rr                       »
              r                        •
          r r
        r                                i
       r
                cm rwr ram       oMcnmuTiM tcuz r«cnm
                         FIGURE  111-28

-------
                             56
                  A
               A  A
                                         1      A    A     A      A
                            A
                         A                        *
                     1
 A
 A

A
                            COKCjrrtUTllW FOILE FACTO*
                       FIGURE  111-29

-------
                            57
                       * * 2 a 2223

                    121         22 22
                  t                 1 >

                 *2                    22
                2

               2     X
             2ZX  X     I

            2              X
  X 2 It
  23   IT
 •     II
       a

c    +   »
                                                              *  »  a
                                           *  0
                                        *   0
                                        o  o
  •00* O KM* OQ» OOO I
                     *  00 ••

                 * . O O  *    R It

                 OOO        *  *NMII I
•       M.M      IM.M       IM



     EC-*i>7   .  •racin os   M  *oa     CMcrjmuTio* f*c*Le rurrtm 10*0
                             2M.M      23*. ••

                          T1RC tntfVTOH
                                                             93*. M      «*•.•«
                    FIGURE  111-30
              T
                IT
              •  r T
                        t r
                     m     r
                           r r
                        •     r
                                    r F
                                       rr
                                         r
                                     m    r
        .  train raor
                      IM.M      2M.M       2M.<
                              Tin imnrmi
                              OOMXimUTIM CCAU r«CTC« !•*•
                    FIGURE  111-31

-------
                                      58
                                                                      r

                                                                    r

                                                                r r
                                     r r
                                   r r
                     * rr rrr tr rrr r r r
         co-tin    .  cracm ru           GMCzimuTiM KM* ncim
                               FIGURE  II1-32
          r - ram
          * - «un
».«*•
                                                         AAAA A A  A A A  A  A
                                                      A A A
                                                 A A A
                                                A         rr r r  r r
                                             AA      rrrrrr         rrr
                                           A AA   rrr
                                          u  r r
                                        AU r rr
                                      A mr
                                    A A r r
                                   A  r
                                  AT r
                               A Ar
                              A r r
                                                               FOUmiOEHYtC
                                                                         • ACETAUEHTK
          A
        A r
        AT
      A
      A
     A
                   >nxio  nM AIM        apcanuTm KAU menu
                               FIGURE 111-33

-------
                                   59
                                              a
                                  X


                                     X
                                                   o OX.
                                                 0      X
       >                                   *  ooo
 *                                        .ox
a       •                                 oo
                   P    0

                   * • OO
                      H»

                   O 0  Rll

                 * «     *H I
             ooo            *mi*

 •  OOO O O 0 "0 O«   »               **»*• * M * »**• UN*  »* *•*»*•  «  «•***•*   I
    tc-M     .  free tea M  M  *oa     OMCCHTIUTIOII BCAU r«crom i»«o



                           FIGURE  II1-34
          r r
            99
              T '
               r
                 t
                  m
                    W
                              T
                               « f
                                     • r
                                       r r
                                        • r
                                                           •  t
                                                              *  r
                                                                 • r • r
                                                                        • r
   EC-H     . mxm  rnor           cMcunMno ECAUC rtcmt i»«
                           FIGURE  111-35

-------
                                       60
                                                        A A A
                                                A AAA  A  A        A  A A  A
                                             A AA                          A   A
                                         A AA
                                       A A
                                     AA A
                                   A A
           A



t.n      *
   U
   I

    •       M.M
                                      TIK
        n>u     . (FKCIU lua           coKcrnuTion KCAU: r
-------
                                        61
            •    X  X  X   X
            2

          2   X
                                                  a

                                          X


                                              x
                                                X      .2          000

                                                               2  0  O O

                                                    X       0  O

                                                *      X  O        2
         I


          •
                                00
                              •

                              oo

                            00
           M.OO      1*0. *•       1M. ••      2VA.MI      25«.«*      3**.

                                       Tine iHiMrmn


         EC-M     .  WCCIEff  O9   M  M9     COKTJniUTlMI KAUC rACTOK !*«•
                                FIGURE  111-38
                r
                  r
                  » r
                         T
                        • r
                           r r
«.«*»                        • r
                                                     r
                                                       •
                                                          r«
                                                             »«  r
                                                                 • r •
                                                                     r r*
                                                                        r • r  r
                                                                              •  r
                                                     9S*.M      OM.M      3M.M      4O*.M



                                        cMccimuTioH KMJL ricnm !•<•
                                 FIGURE  111-39

-------
                                62
    «  rr r rr T rr rr
    BC-M    . BTCCIE9  PAH
                         FIGURE  II1-40
                                           F r ?  r
                                *   r r
                             ,u r r
                            trr
                           * F
                                                    »  F  F
                         at
                       
-------
                                63
    •23 I   XZt

   *
 X 23

                           »  X
                             I                      •
                              a  x                 •

                                tx           »
                                  2         «
                                    ax  *       ODD  ooooooooooo
                                     z« o .0 o  o o
                                  •  0021
                             . .  °  *    a 2
                           .'°,

                       00°   .

                    ••    .

                 ..'    •                           "  •»*
    •»   00
     X *0
      It   •
    tc-M    . »nxiM  «  M  na    cnujmuTiM nciia ncnm  io»



                          FIGURE  111-42
r
 r
 « i
                       •        rrrrrrrr»rrrr
                    r       rr                     rrrrrrr*
                     r   r r                                   r rr rr
                       r r  »     «
                     r r
                   r r   r    •
                  rr      r
                r
               r r          r    •

             /             'r    .
            '                  r     •
                                 r

                                   r r      «
                                      rr
                                        r    «
      r                                   r r     •
    rr                                       r  r   «
   r                                             r r  •
   r                                                   r r r«   »

                                                         " ' ' 'r rr
                                           •M.M     1M-M      M«.e»      400.M



    B-«t    .  rmm rnor rowi       eoncnmuTiw cc«u rtcmi  i*^
                          FIGURE  II1-43

-------
                                          64
           t - PAR
           1 - ALU
• -**»
                                                                                 4 ACTIAlDtHrOE
                                                                   P P P P P P  P PP
                                                            p p p   *      *
                                                     r  p p   «
                                                  r  P
                                              P TT     *
                                            P
                                        P  P      •
                                      P   •
                                   r r
                                 p
                              p p   •
                        pp p
                      tr
            rrrr *pp pp p •
    •       M.M      I04.M


         cc-f*     .  grtcta  PA* ALM        oom^rnurt«K BCAIX
                                   FIGURE  I11-44

-------
                                       65
                                                                      «       * »
                                              0 0
                                             0
                                           •00 •
                                         OD
                                      • •
                                  «o •      *
                               00 0      •
         000000000*00 oooo on    «  •
	4	*	*	<	.	,	*	,	«
 t        5«. •*       IM.M       19*. M       2*«.Mt       2SC.OO       a**.**       3M.M       4OO.M
                                       TIME (nifl/TFS)

      BOft*     .  VTCCIE9  OS              COUCCTTIUTI OH RCAJ^ r*CTMI I**»
                                 FIGURE  II1-45
                                              • n •
                                                 • • >••*
                                                        « MM* RBM II •« **» !•«>*•••>
                    IM.M       IM.M    TIK'7JiJJtM,    »••••       M».M       1M.M

               .  •nxim  m  M          c**nrf»ATiii« nc*ix r«cn» «4«
                                  FIGURE  I11-46

-------
                              66
                                      *rr r
                                          »r
                                           r r
                                                           « f T
                                                               * r
                                                                 «r r
                                                                     . r
EC-**     .  vrccio  nwr           cowcwmuTiop RCAIX rAcrow i**«
                         FIGURE  II1-47
                                                                 r

                                                               T
                                                                     r

                                                                  r
                                                       r
                                                «     r
                                                     t
                                      n
                                   n T
                        «        m
                              r n
                  «       r r r
            r*r n TTTT rr rr r r
                              COMXHTIUTIOII BCMX r*cmi ••«•
                         FIGURE  III-48

-------
                                            67
            r - rom
            A - ALBS
•,***
                                                                             A A A  A A
                                                                       AA AA
                                                                   AAA A
                                                               AAA     rrrrrrrrr  r
                                                             A A    rrr r
                                                       AA  rrr r
                                                     AA IT r
                                                  AA Arr
                                               AAATF       *
                                              AAFFT
                                           A A F
                                         A r
                                                                      30*. •*       33*. ••       4(MI.I


           tc-*«     .  Brretts  nmn ALH        CDWcarnuTiM KALE TACTMI i»*«
                                       FIGURE  111-49

-------
                                     68
      • - 03
      I - 10
      a - i01
                      e    •               •
                     o                  •
                    o
        222 I                         •
       11     «
      2        22                 •
               2 0
     1 X   X     O             •
    X           22
*             X e  2       •
    a             x  a
              o      2  •
 12          o        i
                    X  2

 XI         0       *  XI
            O             22
 •  K             *         a
 2          O               XI

a   •          *                xii
                                 a
         o                      x  a
                                     a a
                                    x   a
                                          2
                                       X     1
       e                                  x    a  a
       »                                     x       a  a
      o «>                                        x       a  a a a
     o   » •                                         xx
    M      * 9 +n 9* • •• *!K »••«••                  XX]
                  IM.M


             .  ftrccm M  ••  M«    awceimMVio* KALE rtcrmi
                            FIGURE  111-50
          F                            •
                  f FT FTF HIT                         •
          m f  T TT         IT F r
           F fr                 r rr'                           •
          • r                       F T                                 *
          T  *                        T
              T                          r i
        TT     T                              T
       r        •                              f  r
      r         TT                                   T
                                                      T-T
     T             T *                                      T T
    r              r            ,                               r  T  T
                    T  *                                             T T
   T                  t                                                   r  r
  r                   IT  •
 r                      r
                         tr   *  *
•                          TT T       -
                              IT
                                rr r  •   •
                                    T T T r  * T * T *T T*  m   •  •   •
                 IM.W      IM.««       30*.M	    XM.0*      »••.••       09«.O*       «M.«f
                                   TIBE tninvmn

            . cram  mr nm        COHCTHTIIATIOH teuc ruena, i»-«
                            FIGURE  111-51

-------
                                        69
•-•»*    A
                           •   r r
                             PPF
                             P
                                                                             ACETALOEHTDE
         tC-M     . SfKCltM PA1  ALM        COOCEITTMTIM SCALE FACTO*
                                FIGURE  111-52
                 PPP FF F PF FTP PTTTF F P*
              F F                  F FF F F F


        .  FF"                              '  ' '  F  F F ,
           84. »•       !•*.••       1M.M      2**.A*	    2M.M
                                FIGURE  111-53

-------
                     70
 0  •
•
•
               FIGURE 111-54

-------
                                          71
           O - OS
           • - KO
           1- to*
                                             ooo
                                          a o
                                      o o
             13                             »
             1     210
                     20                     *
           i          a                  .
                XX    2
           X           X 2
      *     X        02             *
         i               n
       10              •
         2                  2 X

        IX        0           2 X
        2                      2
         •                  •   22  X
       2 X        O                2
                 0                  2  X
         I               •           2
                                      2  X
                O                       2
                                          2 X
               O      «                    2
                                             2 X
                                               2 2
             0    «                               X2
             a   •                                     xa  •
             O.1                       -                   222
           OS**                                     X2222
           OR*                                             222222222
            »    R K RR 3IWR*R H *flR **•**#•**   XXX            •
                    srrcitM  ea  10  mi  •  coacumuTw cuu menu ie*e
                                 FIGURE  111-55
          r - rrae
          r - roBH
t.M*
                r      nrr r rrr TTT
                  T  TT           TTT
                   FT «                f f                                   •
                  F F                     f F          »            •
                F           »                F
                F   »   •                      F F
               F     F                             F
              F       F     •                         F F
             F »       F                                  F
            F           F                                    F F
           F            F      •                                 F F F
                         F                                          F F F F
          F               F       *                                      TT TT
         F                  F       '                                          F
        F                    FF       •
       F                       F          •
       F                        FF          «
     F                            F F           •
   IF                                F F           «
   IF                                   F F           •
   1                                        FFFFFF«F*F«««»*a

    o       M.oo


         to-*t     . trecit*  nor ronn        oncnmuTim ouu FACTOR  io>o
                                 FIGURE  II1-56

-------
                                     72
                      * AAA AAA *
                     I          A *
                                  * A
                                      A
                                                          A
                                                             A
                                                               AA
                                                                    A A •
                                                                •      A A     •
                                                                         A A
                                                                            A A
                                                 T   p  r         »          rr r
                                          r. r r                         »

                                    p -' '                                      • ACETALOEHra
                            p p«
    .                    rr
  »                    r «
A
       M.M       !M.*t       »•.••       20«.M       25».«*      3**.*t       384.M       «««.00
                                     TlfK CHIIIimiil

    BC-M      .  cnciDi ru Ataa         concnmuTHUi KCALE r«cmi  !•*•
                            FIGURE  II1-57
          •      rrmr r rrf rff
             r IT             r T r r r
          p p                   -       P p  p  p »
       p p                                      r   r  p p
     p p                                                   p  r  p p PP
    p                                                               p p p PP p? p
                 199,99       IBV.M       X**.M       K9.99
                                    TlfK (RIVtfmt

              nrattcs  «LD9        •    amct?rnMTim »OUJB PMCTOM
                            FIGURE   111-58

-------
                            73
                                               • •  0 0 004
                                                          » OO 00 O
                                  •     *
 5».«      !»*.•*




«t     .  srccia
                           OOfODrniATIOII KCALX FACTOIl l»*t
                    FIGURE  111-59

-------
                                   74
      9 - OS
      • - so
      2 - noa
                                             «oo*
•  *    x

   2  X
22     O
  2  O
   > 0
   0 2
                 X O    2
                             X     XX
                                                                    *  •  I
        «•,«•       !•«.«•       IBO.O*       VH.M      S39.M      3M.OO       WB. M      4O4.t*


     ec-tzi     . Bnxm «a  ra  na     UMCUiMTTCT KMX rwrnin i^«
                            FIGURE  II1-60
      ic-111    .  tracm nor
                                                 »••••

                                            I K»U MCTMI
                                                           M*.«*      IU.M      WV.M
                             FIGURE  111-61

-------
                                    75
                              «       TT
                                 T T
                       •      rrr
                             I T
           •     rr
•       S4.M       IM.M      190.M      3
                                   Tim

     rc-ui    . crtein  rM           concnmuTtm K«ti FACTOH
                            FIGURE  111-62
                    AA A A  A A AAAA   •
                  AA   r rr         A A A
                AArrrr    rrrr      AA
              AA rr             rrr r        A
             ATT                   r r       A   •
             AT                       r        •
           A                        •   r  r     A

                                            ' r    *  .     .

       A?                                       '  »    '*.

                                                      ' r     ' J

                              *

                                                                '   r

                                                                     '  '  r
  A                                                                           I


 A


A                                                   '                     • ACETALOtHYOe
       M.M      IM.»       19*.M      M«.M       «3*.W      >M.W      «9t.*>      4M.M
                                   TIRR (fnxirnvT

    to-iti     .  imin- row am   '   eoneamierim KALK r«cn>  »•«
                             FIGURE  111-63

-------
                                    76
                                                   B  B B B
                                            B B B
                                     B B  8
                                  BBB
                              inn
                            B B N                 «•
                         BB
                       B B                                •   *      *
                   pa BP F n r r
             PPFP «• a          p rrrp r r »*
     •    » P   B
        r r    HI
       Tf     B
     r>    n n
   PF    n B *
FP>      B
      X »
 B m B
                                      m.M      28«.M      3M.M      9M.M
                                      ', IJtlfVTTft
                                   TIBC

                     ujn Ren       emeomiaim nuu FACTO*  i»<




                            FIGURE  111-64

-------
                                    77
                 TABLE 111-7.  PERCENT CARBON RECOVERY FOR
                               PROPYLENE/NO  SYSTEMS
                                           /\

                                   Elapsed Time
UO [MJM
Number
5
11
13
16
17
18
21
5127
55
56
59
60
95
96
121
60
57%
82
*
99
97
93
91
43
35
*
*
*
73
*
*
120
76%
81
88
90
*
85
*
42
36
*
52
*
68
*
53
180
76%
80
75
73
*
*
*
42
.35
35
52
69
64
58
*
240
75%
*
76
63
87
81
76
43
41
38
52
68
*
57
38
300
70%
*
77
70
72
73
83
39
39
*
49
60
55
56
27
                    * Data not available.
10.  Discussion of the Propylene/NO  Systems
                                   A

     The set of propylene experiments was performed at UCR over a period
of some 25 months, in contrast to the other sets discussed below, each of
which was completed within a few weeks.  Propylene runs EC-5 to EC-21,
however, were performed  in a short time period, and later runs were mostly
repeats of the standard  run, EC-13.  During the next year we will analyze
these repeat runs more closely as part of a computer modeling study to
seek out and explain chamber effects.  In this report we present what

-------
                                   78
 we consider our best simulations  of these  runs,  using  the same overall
 mechanism throughout and varying  only the  light  spectrum and  initial
 HN02 concentration.   As explained in Section  III-B-5,  the light
 spectrum was varied  in a systematic way  and only when  spectral data
 were not available.   The initial  HN02 concentration  used in the simula-
 tions was usually about one-third of the equilibrium concentration
 possible from the reaction of FLO,  NO, and NOp.

      In our final fitting procedure we began  with  propylene runs  EC-95,
 EC-96, and EC-121, because detailed spectral  measurements were available
 for these runs.  We  used our photolysis  constant program to calculate  the
 carbonyl photolysis  constants (relative  to H0? photolysis).   We then varied
 the percent of ozonide formation  in the  mechanism  until the total maintenance
 source of radicals from aldehydes,  propylene-0 atom  reactions, and
 ozone-propylene reactions gave a  good fit to  the UCR data.  Note  that  the
 percent  of ozonide formation  is only  a fitting parameter.  If the quantity
 is  measured, many  other  parameters  or added reactions could be used as
 fitting  parameters.  Some of  these  are as follows:
                 *v.     —     —
      >   Reactions  of ozoniaes  with  radicals to act as sinks,  or
         reactions  that produce or release radicals.

      >   A  slower or faster rate constant for-the ozone-propylene  reaction.
      >   Larger or  smaller quantum yields for  carbonyl photolysis.
      >   Fundamental changes in the  mechanism, such as PAN chemistry,
         NO  loss chemistry, and aldehyde formation.
           ^
                                                   I        '-' ,   ;"''
      During the fitting procedure for propylfirie  runs, we Discovered that
the photolysis constants  calculated from the  spectral data for runs EC-95
and EC-121 differed.   (Of course, it  was still possible to produce good
fits by arbitrarily varying the photolysis constants in the simulations
of these runs.)  The reported  relative spectral  data lead to  a formaldehyde
                                                       •5    _T      f :
photolysis constant for radical production of 1.1 x  10   min   for EC-95
and 7.5 x 10"4 min"1  for  EC-121.

-------
                                  79
     On one hand, both of these values are rather high.  In the simulations
this causes an abundance of maintenence radicals from the photolysis of
formaldehyde and other aldehydes.  Thus, we had to I-swer radical  production
from the ozone-propylene reaction by setting the tuning parameter, the
fraction of ozonide formation, to a high value, 0.33.  This high  value
in turn makes the kinetic mechanism more sensitive to carbonyl photolysis
than to the ozone-olefin reaction.  On the other hand, the formaldehyde
photolysis constants for EC-95 and EC-121 are quite different—the EC-95
constants are almost 50 percent larger than those of EC-121.  Despite
this outcome, the data from EC-95 and EC-121 are very similar.  Therefore,
the amounts of maintenance radicals required in simulating these  runs must
be similar.  At this point we examined the reported spectral data for the
period between runs EC-95 and EC-124.  These are plotted in Figure 111-65,
which shows that some experimental scatter may be possible.  Therefore,
we chose the EC-120 curve to select the optimum value of the fitting para-
meter and used the value in all simulations.  Figure 111-66 shows  the
product of the acetaldehyde absorption spectrum and the reported  relative
spectral data for run EC-120.  This figure shows that the region  of the
spectrum having the largest effect on radical production from aldehyde
photolysis is from 300. nm to 340 nm.  The same region shows the most
apparent scatter in the UCR spectral data.  Figures 111-50 to 111-59
show measurements and predictions for runs EC-95 and EC-96.  These
simulations used photolysis constants calculated from the relative
spectral data reported by UCR.  From the decay curves for propylene
it is evident that too many radicals are present in the simulation.

     We continued the fitting procedure by studying earlier experiments
for butane as well as propylene to ensure that the spectra and HN02
concentrations required for different simulations were consistent.  At
this time we lowered the photolysis quantum yield for aldehydes larger
than formaldehyde to 0.5.  This change produced consistency between the
butane, propylene, and 1-butene simulations.

-------
                                      80
   i.o
                                                       NORMALIZED EC-95
                                                       EC-106
                                                       EC-Ill
                                                       EC-114
                                                       EC-116
                                                       EC-121
                                              	 EXTRAPOLATED EC-121
0.001
    280
 340 '       360
Wavelength '(rnn)
400
420
       FIGURE 111-65.   RELATIVE  INTENSITY  FOR DIFFERENT  UCR RUNS

-------
                            81
280
300               320
        Wave Length--(rim)
340
     FIGURE 111-66.
  ACETALDEHYDE PHOTOLYSIS CROSS SECTIONS FOR
  TWO DIFFERENT SIMULATIONS

-------
                                    82
      As with all simulations, the total  NO  loss is not duplicated.
                                           /\
 The  overall  smog chemistry is  dominated  by  conversion of NO to N0p> and
 this conversion  has  been  accurately simulated by providing a combination
 of chemical  reactions  and rate parameters.  As discussed in the butane
 section above, we feel  that our worst simulation is  for EC-21.  The
 mechanism  does not provide enough maintenence radicals to sustain the
 rate of chemical  reactivity observed at  UCR.  The compound most poorly
 simulated  is  PAN. PAN concentrations can be simulated in runs with high
 concentrations of NO  and propylene, such as EC-5,  EC-13, and EC-16.
                     /\
 For  the low  NO   runs (EC-17,  EC-11, and  EC-18),  however, the predicted
              /\
 PAN  concentrations vary from too low (EC-17) to  too  high (EC-18) as
 the  hydrocarbon  concentration  increases.  We feel that the shapes of the
 simulated  ozone  curves  will  more closely resemble the observed data when
 the  NO   loss  and PAN chemistry are elucidated.
      /\

      The shapes  of some ozone  curves can be partially explained by loss
 of ozone to  the  walls  and the  use of the controversial reaction of HO*
 and  NOp.   In  the original  simulations of EC runs  55, 56, 59, and 60 the
 predicted  ozone  concentrations fit jthe observations  through most of the
 experiments but  were tod  low at the ends of the  experiments.  In repeat
 simulations,  the  removal  of these two reactions  from the mechanism
 improved the  fit at  the ends of the experiments  without degrading the
 remainder.  The  rate of ozone  loss to the smog chamber walls is treated
 as a  constant in  the mechanism, although it is probably not constant in
 reality.   However, we  did not  feel justified in  using different ozone
 loss  rates for different  experiments because this quantity is infrequently
measured at UCR.   Therefore,  we continued  to use a  constant ozone  loss
 rate  as  reported  by  Hecht et al.  (1974b).   The rate constant  for  the
 reaction of HO*  and  N0? was  arbitarily adjusted  to  give a minimal  effect,
but the  slowness  of  smog  formation in runs  EC-50 to EC-60, which  is
presumably due to a  severe deterioration in the  light source, exaggerates
the overall effect of  this reaction.

-------
                                  83
     In Table III-8 we present a comparison between the  predicted  and
measured maximum one-how-average ozone concentrations.   Percent differ-
ences are calculated relative to the observed data.   The overall average
of +0.93 percent represents the average difference between  predictions
and measurements.   This average difference does not signify a  bias because
the standard deviation is much larger (15.9 percent in the  propylene system)

     The measured  ozone concentrations for EC runs 5,  11, and  18 all
peak and then decrease,  but  the  predicted  ozone concentrations do not-
We found that a much better fit could be obtained  by using  different PAN
chemistry, but the different chemistry caused a poorer fit  between measure-
ments and predictions for PAN and NO--  The simulations  shown  were chosen
for their overall  resemblance to the data, not necessarily  for the best
fit to ozone.

B.   BUTANE/NO  CHEMISTRY
              /\

     Subsequent to our report of last year (Durbin et  a!.,  1975),  we
revised the "explicit" butane mechanism to improved the  simulations of
UCR data for the butane/NO  system.   The following areas were  studied:
                          /\

     >  Butane oxidation.
     >  Alkoxyl radical chemistry.
     >  Secondary  products important in overall reactivity
        (butyraldehyde, methyl ethylketone).

These areas are discussed below.

-------
                                    84
       TABLE III-8.
PREDICTED AND MEASURED MAXIMUM ONE-HOUR-AVERAGE

OZONE CONCENTRATIONS FOR PROPYLENE/NOv  SYSTEMS
                                     A
                      Maximum One-Hour-Average Ozone

                            Concentration (ppm)
EC Run Number
5
11
13
1-6
17
18
21
5127
55
56
59
60
95
96
121
Measured
0.46
0.23
0.37
0.50
0.14
0.18
0.006
0.26
0.33
' 0.36
0.38
0.25
0.41
0.413
0.503
Predicted
0.47
0.27
0.374
0.45
0.16
0.21
0.0067
0.245
0.28
0.285
0.31
0.21
0.51
0.513
0.45
Percent
Difference
2
17
1.1
-10
14.3
16.7
11.7
-5.8
-15.2
-20.8
-18.4
-16
24
24
-10.5
Note:  Average difference +0.93 percent; standard deviation 15.9 percent.

-------
                                   85
1 .    Hydrogen Abstraction from Butane by Hydroxyl Radicals

     The products of the hydrogen abstraction from butane in air by
hydroxyl radicals are a peroxyalkyl radical and water.  Hydroxyl radicals
can abstract a hydrogen from either the terminal carbon or the secondary
carbon as follows:
                                °2
                             OH
                                °2       ?2
                     C4H1Q + OH- -» CH3CH2CHCH3 +
A ratio of 6:1 for secondary to  primary attack was determined from the
empirical formula developed by Greiner (1970) for

                     Alkane + OH» •*• Products

The rate constant is:

          k = [1.0 exp(-.820/T)Np + 2.3 exp(-430/T^s

              + 2.1  exp(95/T)NT] x 1.476 x 103 ppm^min"1

where Np, N,,, NT are the  number  of primary, secondary, and tertiary  hydro-
gens, respectively.  The  initial alky! radicals immediately react with
molecular oxygen to form  the peroxyalkyl radicals shown, which will  react
with nitric oxide (NO)  to produce alkoxyl radicals and N02-   From here
on, the chemistry of the  alkoxyl radicals plays a central role in the
overall system.

-------
                                    86

2.   Alkoxyl  Radical  Chemistry

a.   Decomposition  Versus Reaction with Molecular Oxygen

     In the  propylene/NO  system, alkoxyl radicals are not as important
                        A
as they are  in  the  butane/NO  system because the hydroxyl -alkoxyl radicals
                            A
that form  in  the  propylene system are apparently less stable than the
alkoxyl radicals  in the butane system.  After reviewing the literature
and studying  the  thermokinetics of the decomposition of the alkoxyl
radicals,  we  have concluded that the decomposition pathways are unim-
portant (except for sec-butoxyl radical) compared with their reactions
with molecular  oxygen  to form carbonyl compounds.  This is discussed in
the propylene chemistry section.

     Formation  of butyraldehyde occurs from onTy one reaction, that of
n-butoxyl  radicals  with molecular oxygen.  Therefore, we need to consider
the unimolecular  decomposition of sec-butoxyl radicals over the reaction
with molecular  oxygen  in order to limit the formation of methyl ethyl -
ketone,

                        0-
                             -0
              CH3CH2CHCH3  + 02 +,CH3C

due to the difference  in  secondary to primary ratios  between  the  initial
attack ratio  (from  Greiner's formula) and the product ratio measured
at UCR.  UCR  data show the need for a ratio of  18:1 of secondary  to
primary products, that is, the ratio of MEK to  butyraldehyde.

     Although neither  of  these ratios is highly certain,  it appears that
they are not  equal.  Additional evidence for some  other path  to make  the
products ratio different  from the production ratio comes from the results
of trial calculations  with all the alkoxyl radicals reacting  with molecular

-------
                                   87
oxygen.  In these experiments we found that too much MEK was formed,
not enough acetaldehyde was formed, and far too much butyraldehyde was
formed.  Adding the unimolecular decomposition of secondary butoxyl radi-
cals to the mechanism is therefore very tempting because the main stable
product is acetaldehyde (Benson and O'Neal, 1970).  However, the ratio of
MEK to butyraldehyde is then even lower than the 6:1 production ratio.
If the decomposition of the primary butoxyl radicals is postulated, then
the production of propyl radicals must be accepted based on thermokinetic
considerations:
                                               HCHO
 Then  one would  have:
                             NO
                                           HCHO
In other words, the formation of more formaldehyde and propionaldehyde
is predicted.  In all the UCR butane experiments, propionaldehyde  was
never reported, yet acetaldehyde and butyraldehyde were seen.   In  some
propylene experiments, very low amounts of propionaldehyde were re-
ported in the presence of substantial amounts of acetaldehyde.   For
instance, in run EC-121, propionaldehyde was reported at 0.003  ppm in
the presence of 0.14 ppm acetaldehyde.  We feel that the negative  UCR
experimental results for propionaldehyde imply that little, if  any,

-------
                                   88
primary butoxyl radicals were thermally decomposing in the butane system.
Also there is supporting evidence from our trial  calculations with
exclusive decomposition that the decomposition chemistry would lead to
greatly enhanced formaldehyde production, a result that is not in keep-
ing with the low amounts reported in the UCR data.

     As we reported last year, for alkoxyl radicals the rates of unimole-
cular decomposition and reaction with molecular oxygen span several  orders
of magnitude.  Recently, Barker et al. (1976) have shown that most reac-
tions with molecular oxygen proceed at similar rates virtually independent
of the size of the radical.  However, thermokinetic and experimental  evi-
dence suggests that unimolecular decomposition rates increase rapidly with
increasing molecular weight.  Thus somewhere in the alkyl  chain-length
progression, unimolecular decomposition would be  competitive wtth reac-
tion with molecular oxygen.  Future smog chamber  experiments with longer
chain alkanes, such as n-hexane and n-octane, are necessary to help
elucidate this chemistry.

     In this study we tried to test the assumption that either one or the
other process is dominant in the butane system.  Our finding is that,
      N.
overall, the dominance of reaction with oxygen is more in keeping with
the UCR data.  The one unimolecular decomposition that seems necessary
to retain at this  time is that of the secondary butoxyl  radical.

b.    Internal  Isomerization of the  Alkoxyl  Radicals

     The  information  above suggests that reaction  with  oxygen may domi-
nate the  alkoxyl  radical  chemistry  of butane.  However,  the observed
product ratio of  MEK  to  butyraldehyde and especially  the  carbon  mass
loss in the  butane experiments  cannot be fitted  by this conclusion alone.
A carbon mass  loss could be explained by formation of bifunctional
compounds, such as hydroxy-carbonyls,  which would  have  long retention
times for chromatographic analysis  as used at UCR.

-------
                                  89
     Carter, et. aj..  (.1976) have suggested that internal hydrogen rearrangement
may occur  via a  six-member  cyclic intermediate for n-butoxy radicals:
       CH3CH2CH2CH20.
• H
/
H2C
\
H2<
.--0
\
CH9
/ ^
3 — CH2
The  hydroxyperoxybutyl  radical would then react with NO:
    •02CH2CH2CH2CH2OH  +  NO + N02 +  -
          •OCH2CH2CH2CH2OH
                                        0
                                        ,1
(4-hydroxybutyraldehyde)
         II                 20
        HCCH2CH2CH2OH + hv ->-2 HCOg + '
        0
       H!cH2CH2CH2OH + OH-
         •                 °2
      •02CCH2CH2CH2OH + NO +  N02 + C02 +
3-Peroxy-l-propanol radicals may also form; these would undergo reactions
similar to the above:
    •02CH2CH2CH2OH + NO -> N02 + •

-------
                                   90
                                             (3-hydroxypropionaldehyde)
          II               0?
         HCCH2CH2OH + OH- +  .0C
          HCCH2CH2OH +  hv ->  HCOg +
           S
         •02CCH2CH2OH + NO
 The 2-peroxyethanol radicals formed might  then  react with NO
                         NO
             OCH2CH2OH + 0? -> H0| + HCCW2OH .(glycolic aldehyde)
              HCCH2OH + OH- + HCHO + H02
                 o          2Q
                HCCH2OH + hv ->2 HCOJ + FORM + H02
The sec-butoxyl radical may also undergo rearrangement processes.  These
processes would occur more slowly than for the n-butoxyl radical, however,
because five-membered ring intermediates probably form more slowly than
six-membered ring intermediates (Hendry, 1976):

-------
                                91
CH3CH2CHCH.
                                           OH
         OH
         I
•02CH2CH2CHCH3  +  NO
                                               OH
              OH
              i
      -OCH2CH2CHCH3
                                       OH
                                                HO'
                              20,
     0   OH
     i!   I          <-u?
    HCCH2CHCH3 + hv v
                                                OK
     0   OH
     II   I
    HCCH2CHCH3
                            OH
                                          OH
      0   OH .
                             NO * N0
                                                    OH
                     OH
                             NO
                                  OH
                                  I
               OH
               I
           -OCH2CHCH3.
                                    OOH
                                    II I
                                   HCCHCH
                    OOH
                     20,
                                  OH
                   HCCHCH3 + hv +  HC03

-------
                                    92
                 OOH                 OOH
                 I! I            o     i |.
                HCCHCH3 + OH-  _4 -
                  OOH                            OH
                  III          20                 i
                •02CCHCH3 + NO _4 N02 + C02 + -
                        OH               0
                        I           ^    II
                               -*•  HOA ~f" HCCH-
     Private communications with K. Darnell of UCR confirmed the existence
of some peaks in their GC analyses that are consistent with hydroxyaldehydes.
Mill and Montorsi (1973) found the major products of gas-phase oxidation of
n-pentane and higher homologs to be cyclic ethers.  The corresponding
reaction of the 1-butoxy radical to form tetrahydrofuran is probably
slower, since the transition state is a strained five-membered ring, but
intramolecular hydrogen abstraction, as discussed above, is reported to
occur with facility in the liquid phase.  Furthermore, Carter et al .
(1976) have reported evidence for alkoxyl  radical isomerization occurring
in C.-C,. alkanes in. NO /air systems in smog chambers.  We have chosen ttte
    tO              X
rate constant for the reaction:
                                    02CH2CH2CH2CH2OH
to fit UCR's butyraldehyde data.
     A carbon mass balance, as described earlier in this chapter, was per-
formed on UCR's butane data (Table III-9).  The carbon mass balance in general
showed approximately a 40 percent loss early in each run.  In the butane/NO
                                                                           7\
system the reactive losses are proportionally smaller than in the other systems.
Since butane is a four-carbon molecule, the error in its measurement is a

-------
                                   93
             TABLE III-9.  PERCENT CARBON MASS RECOVERY
                           FOR BUTANE/MO  SYSTEMS
Time
(minutes)
60
120
180
240
300

EC-39
37%
79
*
81
77

EC-41
55%
62
57
57
54
UCR
EC-42
*
83%
80
*
84
Run Number
EC-43
*
53%
46
54
54
EC-44
53%
*
*
*
62
EC-45
33%
48
*
*
54
EC-48
79%
44
*
73
79
 Data not available.

large contributor to error in the mass balance calculation.   Table  111-10
indicates this effect in EC-44, in which the reported initial  concentra-
tion of butane seems anomalously high.  Included in the table are mass
balances calculated using a gross extrapolation and a semi-log least-
squares fit to the data.  The reactive loss of butane results almost exclu-
sively from oxidation by the hydroxy radical, which is present in steady-
state amounts.  The assumption that its concentration is fairly constant
during the run appears justified by the more reasonable carbon recoveries
and the high correlation coefficients for the least-squares  fit, which  are
usually 0.99 or larger.  The qualitative and quantitative differences of  the
     TABLE  III-TO.   PERCENT CARBON MASS RECOVERY  FOR  RUN  EC-44
                              Initial  Butane  Concentration
Time
(minutes)
60
300
3.92 ppm
(reported)
25%
49
3.80 ppm
(extrapolated)
759%
76
3,90 ppm
(fitted)
53%
62

-------
                                   94
 recovery  in  the butane/NO  system indicate an undetected carbon-containing
                         /\
 species other  than CO or C02-  The early and fairly constant loss of
 carbon implicates a primary product of butane oxidation as the prodigal
 species.

     The  mass  loss expressed in ppmC is shown in Figure 111-67-  It is
 closely similar in shape and magnitude to the MEK data (uncorrected for
 dilution)  plotted as ppmC in Figure 111-68.  All carbon products measured
 in  the butane/NO  system exhibit similar concentration-time profiles, so
                A
 that systematic gross underestimation of one or more of these carbon con-
 taining product concentrations (such as MEK) is a possibility.   Concentra-
 tions of  the four-carbon nitrates (which undoubtedly form a portion of the
 lost carbon) in the propylene/butane runs are about 20 percent of the MEK
 concentration.  However, these data, which also show a similar carbon loss
 from butane, are more recent and presumably have improved analytical cali-
 bration,  thus confirming the large mass loss in the butane system.   The
 production of nydroxyatdehydes could account for some of the undetected
carbon mass.

3.   Formation and Destruction of Methyl ethyl ketone

     Our initial  mechanism for the formation and destruction of MEK was
presented by Durbin et al .  (1975):
                       0-                  0
                                                 HO*
                  CH3CH2CCH  + hv
                              OH-  -* CH3COH

-------
                               95
0.7
                              ,EC-48
                             /ADDED CH.CHO
                             180       240       300

                            Tinte--minutes
360
 FIGURE  111-67.   UNRECOVERED CARBON AS A FUNCTION  OF TIME FOR
                  VARIOUS  RUNS (NOT CORRECTED FOR DILUTION)

-------
                              96
0.7
           60       120      180       240

                           Time--nrinutes
300
360
 FIGURE 111-68.  MEASURED MEK CONCENTRATION AS  A FUNCTION
                 OF TIME FOR  VARIOUS RUNS

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                                   97
     We now believe that OH- radicals will not  attack  the carbonyl part
of the molecule to give acetic acid, but  rather that OH« radicals will
abstract the secondary hydrogen:
                       0         n      °oO
                       II         02     |2n
                            + OH- 4  C
                      OpO              -0 0
                      rn               i II
                    CH3CHCCH3 + NO -> CH3CHCCH3
                                       oo
                    CH3CHCCH3 + 02 + CH3CCCH3 + HO"
This mechanism has been postulated by Demerjian et al.  (1974).  The rate
of the hydroxyl radical reaction has recently been reviewed by Lloyd et
al. (1976), and we have used their recommended value of 5.2 x 10  ppm~
min~ .  The biacetyl formed from the above reaction will  photolyze
rapidly to give two radicals:
                         00         n      0
                         «         °2     H
                      CH3CCCH3 + hv  £ 2CH3C02
The formation of these two radicals may lead to increased reactivity in
the latter stages of simulation of the butane system (see Figure 111-69).
Introduction of this reaction leads to approximately 25 percent more
ozone with approximately a 45 percent increase in PAN concentrations
for EC-39.

4.   Simulation Results
                             /
     The explicit butane mechanism is presented in Table 111-11.  Simula-
tions were performed on UCR runs EC-39 through EC-48 with the initial
conditions listed in Table III-12a and the photolysis rate constants

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                              98











c
0
N
G
E
N
T
II
A
T
I
0
H

P
P
fl





. 100+
I
I
I
I
I
I
I
I
.075+
I
I
I
I
I
I
I
I
I
.050+
I
I
I
I
I
I
I
I
I
.025+
I
0.00+-
0
    SPECIES  EXPT.  SIM.
     03        *     0
     03            	
                                  EC-39
                         8iacetyl
                 100
                           ISO
     200
TIME (MINUTES)
                                              250
                                                        300
350
                                                                            400
FIGURE  111-69.    EFFECT  OF  INCLUDING  BIACETYL  PHOTOLYSIS

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                                    99
             TABLE  1 1 1-11.   THE  BUTANE/NOY MECHANISM
                                             A



                                                             Rate Constant

___ _ Reaction   _      (ppm-1  mi'n-1 )



N02 + hv •*• NO + 0(3P)                                        Experimental*





0(3P) + 02 + H •»• 03 + M                                      2.08 x  10"5t





0(3P) + N02 •+ NO +  02                                        1.34 x TO4




03 + NO •*• N02 + 02                                           25.2




0(]D) + M -»• 0 + M                                            8.6 x 104





O^D) + H20 -*• 20H-                                           5.1 x 105





O  + OH- •*• H0  + 0                                           87.0
03 + H02 * OH- + 202                                         1.2




0  + N0  ->• N0  + 0                                           5 x 10"2
 03 +  hv-*-  OD) +  02                                         Experimental*




 03 +  hv •*•  0(3P) +  0.,                                         Experimental*




 03 -»•  wall                                                    1 x 10"3




 N03 + NO -> 2N02                                              1.3 x 104





 N03 + N02  -»• N205                                             5.6 x 103





 N205  -f H20 -»• 2HN03                                          5 x 10"6




 N205(+ M)  •*• N03 +  N02(+  M)                                   24.0*




 NO +  N02 + H20 -*• 2HN02                                       2.2 x 10"9t





 2HN02 •+ NO + N02 + H20                                       1 .3 x 10"3

-------
                                    100
                        TABLE  I IT-IT  (Continued)
                         Reaction
  HN02 + hv -*- OH- + NO
  N09 + OH-(+ M) + HNOJ+ M)
,  NO + OH- •*• HN02
   H02 + NO •+ OH- + N02
 H02
              HN0
         hv-*- 20H-
   CH3CH2CH2CH3 + 0  -+  CH3CH2CH(02)CH3 + OH-




                     °2





                     °2
   HOCH2CH2CH2C{0)02 + NO





   HOCH2CH2C(0)02 + NO ->-
                  + NO -




                    °2
  CH3CH2C(0)02 + NO -?• N02



                 o2

  CH3C(0)02 + NO -£ N02 +




               °
HC(0)02' + NO
                        H02
                     NO
CH3CH(02)C(0)CH3 + NO
                                  2 + CH3C(0)C{0)CH3
Rate Constant

(ppm~1  min-l)




Experimental*





9.2  x  TO3





9 x  103





2 x  103




20





Experimental*




 64.0





5.0 x 102





 2.9  x  TO3




 2  x 103





 2  x 103





 2  x 103





 2  x 103





 2  x 103





 2  x 103
                                                             2 x 10
                                                                     3
 2 x 10
                                                                     3
                    NO
                                                               2 x 10-

-------
                                101
                   TABLE  iIi-11 (Continued)
                      Reaction
                                              Rate Constant
                                                     min"')
)2 + NO

: + NO H
                                                           2 x 10"
                                                           2 x 10"
           +  NO H- N02 + H02 + HOCH2CHO
                                               2 x
CH3CH2CH202 + NO + N02
                                               2 x 10-
         + NO -»• N0
                                                           2 x
        NO
                                                           2 x
                                                           6.7 x 10
                                                                   4*
CH3CH2CH2CH20- - HOCH2CH2CH2CH202
CH,CH,CH(0-)CH, + 0, * CH,CH,C(0)CH, + HOi
323 c. J c. J i
CH3CH2CH2CH20. + 02 + CH^CH.CHO * HO,
fu /*ij /*ij rt« x f\ -*• pu f*u r*un 4. wn*
Ln^UnnUnoU T u« Ln-Ln«UnU ^ nU^
322 2 3 i i
CH,CH90- + 09 •* CILCHO + HO:,
3 t t 3 <:
CH,0- + 0, •*• H7CO + HOX
O b k> W
20
H2CO + hv — ? HO;, + HC(0)02
H2CO + hv •»• H2 -i- CO
20
CH.CHO + hv — ? CHJk + HC(0)09
. O O t ^
20
CH,CH;,CHO + hv —^ CH-CH70;, + HC(0)Oj
•5 -t J t *• <-
?n
2
7.5 x 10
0.95
- 0.95
0.95
0.95
0.95

Experimental*
Experimental *

Experimental*

Experimental*

Experimental*

-------
                              102
                 TABLE III-ll  (Continued)
                       Reaction
 CH3CH2CH2CHO  +  hv + CH-CHO +  C-H.
 CH3CH2C(0)CH3  +  hv
 HOCH2CHO + hv -*•  HC(0)0^ + HjCO + HO^
 HOCH2CH2CHO +  hv -*• HC(0)02
 HOCH2CH2CH2CHO  +  hv •+ HC(0)02



                    20?

 CH3C(0)C(0)CH3  +  hv —$•  2CH3C(0)02
 H2CO + OH- -* HC(0)02 + H20



              °?
 CH3CHO + OH-  -*  CH3C(0)02 +  H20



                 °2
 CH3CH2CHO + OH-  4.  CH3CH2C(0)02  +  H20



                    °2
 CH3CH2CH2CHO  + OH-  -4 CH3CH2CH2C(0)02' + HgO




 CH3CH2C(0)CH3 +  OH- •* CH3CH(02)C(0)CH3 + H20





HOCH2CH2CH2CHO + OH- * HOCH2CH2CH2C(0)0^ + H
HOCH2CH2CHO + OH-
HOCH2CHO + OH- * H2CO +
HOCH2CH2CH2C(0)02 + HO^ •* HOCH2CH2CH2C(0)OOH




HOCH2CH2C(0}02 + H02
 Rate Constant

 (ppm'l min~')




Experimental*




Experimental*
 1  x 10
                                                                   -3
 1  x 10
                                                                   -3
 1  x 10
                                                                   -3
 2 x 10"3



 1  x 104




 1  x 104




 1  x 104




 1  x 104




 5.2 x 103





 1 x 104




 1 x 104




 1 x lb4




 1  x 104



 1 x 104
CH3CH2CH2C(0)02 + H02
 1 x 10

-------
                                   103
                      TABLE III-1T (Continued)
                                                             Rate Constant
_ Reaction _     (ppnr| min-T )


 CH3CH2C(0)02 + H02 -" CH3CH2C(0)OOH + 02                       1 x 104


 CH3C(0)02' + H02 -»• CH3C(0)OOH + 02                            1 x 104


 HC(0)02 + H02 -* HC(0)OOH + 02                                1 x 104


 HOCH2CH2CH2CH202 + H0£ -^ HOCH2CH2CH2CH2OOH +  02               4 x 103


 CH3CH(02)C(0)CH3 + H02 •*• CH3CH(OOH)C(0)CH3 +  02               4 x TO3
                                      i

                                           02                4 x 103


                                          2                   4 x TO3


                                                              4 x 103


 CH3CH202" + H02' -»• CH3CH2OOH + 02                              4 x TO3


 CH302« + H02' -»• CHgOOH + 02                                    4 x TO3


 H02 + H02 •»• H202 + 02                                        4 x 103


 CH3CH2CH2C(0)02 + N02 ^ CH3CH2CH2C(0)02N02                    4 x 102


 CH3CH2C(0)02 + N02 -«• CH3CH2C(0)02N02                         4 x 102


 CH3C(0)02 + N02 •»• CH3C(0)02N02                               4 x 102
           02 -» N02 +  CH3C(0)02                                1.7 x 10~2*


 CH3CH2C(0)02N02 -> N02 +  CH3CH2C(0)02                          2 x 10"2*


 CH3CH2CH2C(0)02N02 -^  N02 +  CH3CH2CH2C(0)02                    2.5 x 10~2*

-------
                                   104
                      TABLE  III-1T  (Concluded)
                                                             Rate Constant

                       Reaction                              (ppm'^  min"1)
 CH30-  + N02 •* CH3ON02                                        2 x 104




                                                              „ n   ,n3

 CH-,0-  + N00 -»- H0CO + HN00                                    2.2 x 10
   3       i    i        2




 CH3CH20- + N02 -»• CH3CH2ON02                                "  2.0 x 104





 CH3CH20- + N02 -»• CH3CHO + HN02                               2.2 x 103





                                                              2.0 X 104





 CH0CH0CH00- + NO, -*• CH0CH0CHO + HN00                         2.2 x 10
   322       2     3  i         2




 CH,CH,CH9CH,0- + N09 •*• CH,CH9CH9CH9ON09                      2 x 104
   ^  C.  C.  L.       £.     3  £  L.  L.   C.




                                                              2.2 x 103






 CH0CH0CH(0-)CH, + NO, + CH-.CH0CH(ON00)CH0                    2 x 10
   J  L        J     L     J  C      C   5




 CH3CH2CH(0-)CH3 + N02 •*• CH3CH2C(0)CH3 + HN02                 2.2 x 104





 CO + OH- -^ H02 + C02                                        2.06 x 102
t Units of ppnf  rain"  .



* Units of min~  .

-------
                                       105
    TABLE  III-12a.  INITIAL CONDITIONS  FOR SIMULATIONS  OF  BUTANE/NOV SYSTEMS
Run
Number
EC-39
EC-41
EC-42
EC-43
EC-44
EC-45
EC-48
NO
(PPm)
0.547
0.542
0.542
0.126
1.14
0.552
0.535
NO?
(ppm)
0.06
0.068
0.059
0.013
0.132
0.062
0.059
Butane
(ppm)
2.2
4.03
0.385
0.38
3.92
1.94
1.94
HN02
(ppm)
_ i .-pi _
0.01
0.01
0.03
0.01
0.03
0.006
0.0
kl -,
(•miff1')
0.24
0.238
0.235
0.233
0.23
0.227
0.221
   * HNOp data and  aldehyde photolysis  rate constants were  chosen to provide
     the best fit of predicted concentrations to measured concentrations;
     all other data are UCR measurements.
TABLE  III-12b.  PHOTOLYSIS RATE CONSTANTS  FOR SIMULATIONS  OF BUTANE/NOV SYSTEMS
                                                                          }\
EC Run - „!-
Number 3
39'
41
42'
43
44 >


> 31.0


45 22.0
48 14.0
                82
82
81
500
500
500
7.4
                                HCHO+H-+HCO-
                                   9.6
6.9      8.4
6.7      7.4
24.0
24.0
21.0
         7.2
         6.5
         5.5
                                                             16.0
                                  14.0
                                  11.0
                                                  12.0
                                                  10.0
                                                  12.0
                                                                               MEK-*
                                                    5.8
                                                                               5.0
                                                                               3.6

-------
                                   106
 listed  in  Table  III-12b.  The factorial block for this system is pre-
 sented  in  Figure 111-70.  Figures 111-71 through III-103 show the
 simulation results  for the butane/NO  system.
                                    A

 5.   Discussion  of  the Butane/NO  Systems
                  ~" """ "™lu " '     '" ~" "r"~Jr/\

      In the butane/NO and propylene/NO  systems, we assumed that the
                      A                 A
 light source at  UCR was deteriorating, especially in the short-
 wavelength end of the spectrum.  This is consistent with UCR data
 that show  a decay in nitrogen dioxide photolysis during these experi-
 ments.   Unfortunately, no spectral data were taken; so in the simula-
 tions of runs EC-39 to EC-60 we varied the intensity of the,short
 wavelengths using an exponential decay  function.  This function was
 reported by UCR  for the  Pyrex filter.used  in conjunction with its
 light source.  This procedure was reported by Durbin et al.  (1975).  The
 filter  function  was merely  shifted to longer wavelengths for later
 experiments, thus progressively attenuating the  light intensity between
 300 and 350 nm.   This procedure affects the simulations by  producing
 a  consistent decrease in  the amount of  radicals  arising from photolysis
 of carbonyl compounds.

     As  mentioned in the preceding sections on butane mechanism
 development, a considerable uncertainty is associated with the butane
 system  because of the substantial carbon mass not accounted for in the
 UCR data.   Another  unfortunate aspect of the data is that in none of the
 experiments  did  ozone reach a peak concentration.  In all the experiments
 the concentrations  of products such as MEK and the aldehydes increased
 continuously to  the end of the experiment.  Runs EC-42 and EC-43 show the
 largest relative  reaction of butane, about 35 percent.  We therefore
recommend more experiments that run longer, to 12 hours instead of 6; that
use low NO   to hydrocarbon ratios, (e.g., 0.1 ppm NO  to 2 ppm butane) for
          A                                         A
faster ozone production; or that use even less hydrocarbon than the 0.4
ppm butane  used  in  EC-42 and EC-43, for more complete reaction of butane.

-------
                       107
    1.0
CL
    0.5
    0.1
        - x42
43
         0.4
             39
           x45
             48
                                  x 44
          2.0         4.0

            Butane--ppm
FIGURE 111-70.  FACTORIAL BLOCK FOR BUTANE/NO  SYSTEMS
                                             /\

-------
                                         108
                                            l>      *
   to oo oo oo o o  o  o  o o
0.60*	»	*—	
    o       so.08       loo.oa
                                *      *
                                                                  300.00       350.00      404.00
         CC-39     .  SPECIES  03
                                         coacFjrnutioa SCALE FACTOR 10+0
                                  FIGURE  111-71
                                                          * a •  >
            00.00       I**.•
                                                                             a;*.08      400.••
         EC-M     .  Fi'F-niKH  no2 M
                                  FIGURE III- 72

-------
                                     109
a 
-------
                                                                      FORMALDEHYDE
rr FF IT  r  r  r  F  r  r    F
       Bti.ee




    F.c-3*
                                                         SOU.OB      330.OO      404.1
                            FIGURE  111-75
                10*. *»      t3lt.fi
                                                         sot.**      a»«.*e      -to*.*o
                            FIGURE  111-76

-------
                            Ill
                                                        0      •
   30.00       IOV.M





CC-41      .  8FECIK9  03
                               CQBCE!rnUTICHI~9CALX FACTO* !»*•
                        FIGURE 111-77
                                      a   a   a    a
                                                            R*lf • * H •
 cc-41     .  irccm Ka no
                               CfiKCFjrniATialt RCALE FACTOn !•»•
                        FIGURE  111-78

-------
                        112
                          COnCEKTHATIOH fiCUZ FACTOR 10**
                    FIGURE  111-79
EC-4I     . srccita FA*
                           concuniuTioa BCMX FACIXM i**«
                     FIGURE  111-80

-------
                                   113
                                                                     r r r
                                                                r  r
                                                          r   r
                                                                                   r
                                                                                r
                                                                          r r r
                            r
                         r
                  r  r
                r
   IT r  T *T T
                                      r
                                   r
                               r
      80.00       I6».»a       IEO.M       200.00        258.00*
                                      TIKK tnitm-ru;}


   re-4i      .  OPEC its  pawn             COHCENTHATIUH SCAIX FACTOR  i&*»
                                   FIGURE   111-81
                                                     B


                                                 K
                                                                           A A
                               *      '          »   *                          * ACETAL3EHYK

                            B                                     •
                                             A

                         B               A
                  H


               K

             B
      H   •<
        A

    R     •
   H  A
 n  A

 II  A
KAA
                                                    230.0»       3W.W»       950.**      4M.M




   EC-41     .  BTCCIK0  HEX  *U>3         COnCEKTTUTlOII FCAIX FACIOA  !»*•
                                   FIGURE  III-82

-------
                            114
           o  o
          0
       0 0
            .  Ffi.ctF.ii OJ
                       FIGURE  111-83
       2 - H02
       P - RO
«.«»*
                       FIGURE  111-84

-------
            115
        FIGURE 111-85
00.00     ICO.00
       FIGURE III-B6

-------
                                  116
         H - KEK
         A AJJW!
«.*2*
                                                                   * ACETALDEHYOE
                             FIGURE  111-87

-------
CIGURE III-B8
       T r" _RQ
       iij. C.7

-------
                                 118
                                                                    FORMALDEHYDE
        60.00


     r,c-«
                           FIGURE  111-90
         H    A A
        n   A
       n *  A
      H AA
                                                                      > ACETALDEHYDE
 A H
 A
A n
            .  STCCICS I»X AI.U2
                                         l*t (XAIT. rACTHH  !&*•
                           FIGURE  111-91

-------
                                          119
           O - 03
           r - FOBS
».•**
                                                                                   OZONE
                          r

                      r   o
             so.ca       toe.oft       ir.o.pw      ji.'i.n*      2Se.oa       3'oo.n*       nio.oo
                                          Tint: (f!i>urt'*i>
                                   FIGURE  111-92
                                   K             0+4
                                      wn            +
                                             o   +
                                       0   *   +
                                   o • +   *   *
                                0   +             V
                             0   *                «
                             «•                      *   It
         EC-44     .  Krrcim  fo  vnz         Lo>crjniiATto?i KCAU: rAirron
                                   FIGURE  111-93

-------
                                 120
OO     •
                  0  *  *
                                              0    ex
    re-4+     .  emits  B'/T           cirtCK.
-------
                            121
                                 r   r   o
OOOOO 00 O O O
 F.C- 4$     . pri£ i EM 03
                                                          3GO.04     •*<*«,«»
                       FIGURE  111-96
                            cop-cr.irnuTios KCA
                      FIGURE 111-97

-------
                            122
           JC1A.OO      I3O.OO
                                                   DOO.OO      O.'0.00
                                      KCAIX FACTOR l»»»
                      FIGURE  111-98
If - MKC
A - AJ-JJ*
r - fiat
                                                                  ACtTALDEHYDE
                                                                   PAN

                                                                   r
                 x     x   rxrrxrr   rr
                                         230.M      30*.B«      3SO.fKi
                      FIGURE  111-99

-------
                             1/.3
A A A +
   AA AAA A AA
          A AA A +A
                        AAA
                                    A -A   A
                                            A AA AA A  A
                                                  0    A A   A
       o on o
       fie. eo
           oo o «o *  o
                                     RCALT. rAcmn i*««
                        FIGURE III-100
                             2  >  s  a
                        FIGURE III-101

-------
                                        124
               0 *
                o
                 o o
                                 O   «  »  *
              §».**      IM.ftn



           ec-4«     .  vnxica ID
                                                 KCALE FACTOR  |**e
                                FIGURE  111-102
           •• • Tax
            r - row
            r - rAx
                                                                             HEC
T
R

« t.W
                                                rr   r   rxrrrrrrrr   r   r
                         * r *
                      •  r

                  .'    r
                   . r
                                       Tim: i

          ec-40     . mrccite ua  rvw rut    cwcomuTitMi KCAIX rAcnm »•••
                                FIGURE  III-103

-------
                                 125
     Table 111-13 presents a comparison of the experimental  and simulated
maximum one-hour-average ozone concentrations.  (In all  UCR butane/NO
                                                                     /\
experiments, the highest ozone concentration was measured in the last
hour.)  The average difference is approximately +17 percent with a stan-
dard deviation of 34 percent.  These estimates are made  excluding EC-44.
Including EC-44, the average difference is +36.7 percent with a standard
deviation of 60 percent.
 TABLE II1-13.  PREDICTED AND MEASURED MAXIMUM ONE-HOUR-AVERAGE  OZONE
                CONCENTRATIONS FOR THE BUTANE/NOV  SYSTEMS
                                                A
    EC Run
      No.
      39
      41
      42
      43
      44
      45
      48
                    Maximum One-Hour  Average
                    Ozone  Concentration  (ppm)
Measured
0.056
0.21
0.0042
0.113
0.011
0.12
0.14
Predicted
0.048
0.33
0.005
0.097
0.028
0.13
0.22
 Percent
Difference
  -14.3
   57.1
  -19.8
  -14.7
  154.5
    8.3
   57.1
        In  our  opinion  the  poorest  fit  to  the data  is the simulation for
   EC-42, even  though EC-44 has  the worst  fit to  the ozone behavior  (Table
   111-13).  This experiment is  discussed  in the  section on development of
   the  carbon-bond mechanism (Section IVC-1).   It has the highest NO   to
                                                                   J\
   hydrocarbon  ratio and  the six-hour experiment  shows development of  smog
   formation only to the  NO/NO^  crossover  point.  Either the mechanism lacks
   the  proper number of NO  to N02 conversions per butane reacted when  the
   NO   to hydrocarbon ratio is this high,  or some other source  of reactivity
    ^\                     ,
   is present.   In simulations of the propylenc system, run EC-21, a

-------
                                  126
 similar  problem  exists.   In both  EC-42 and EC-21 we have shown simulations
 in  which we  used  the maximum initial HNCL concentration possible from
 the equilibrium  between NO, N02,  and H20.  In  both cases it  is obvious
 that too many radicals are present  initially and that the maintenance
 source of radicals  in the mechanism is inadequate.  We could not justify
 changing the light  spectrum for these two simulations without changing
 the light source  for adjacent experiments.  We speculate that the walls
 of  the chamber in some way supply radicals to  the peroxy-oxyl radical
 pool.  The effect of such a process would be greatest when the concen-
 tration  pf normal radicals was the  lowest—in  a low activity and low
 hydrocarbon experiment such as EC-42 or EC-21.  That the walls are
 supplying radicals  is supported by  the similar need for high HN02
 (relative to equilibrium) to simulate the overall  chemistry of EC-43
 and  EC-17.  In EC-43 as in EC-42  it is clear that the initial radical
 pool  in  our simulations is too high compared with the rate of reactions
 seen  in  the data.

     We  feel  that the worst aspect of the butane simulations in general
 is  associated with the PAN chemistry.   The PAN chemistry in the various
iT,echanisms was adjusted to give the best overall  fit to the measurements
of  the olefin systems, where- PAN  is more abundant than in butane systems.
PAN is formed from the reaction of peroxyacetyl radicals and NCL:

                          0
                      CH3COO- + N02  *   PAN


 In  the butane mechanism a major source of these radicals  is  the  transfer
 reaction of  hydroxyl  radicals and acetaldehyde in air:

                                           0
                   OH- + CH3CHO •*• H20 + CH3COO-

-------
                                  127
 According to our present formulation, these radicals compete primarily
 with N02> as shown above, and with NO:
                  CH3COO-  +  NO -»• CH30£ + C02 + N02

 The reaction with NO leads to formaldehyde  formation  via  the  following
 reactions:
                     CH30^  + NO * CH30. + N02

                     CH30-  + 02 -*. HCHO + H0|
      The simulation of EC-48-clearly  shows  that our  PAN  chemistry  is
 incorrect and suggests what can be changed  during our  efforts  in tne
 near future.   Acetaldehyde and formaldehyde were added initially to
 systems otherwise similar to EC-39 to make  up  EC-48  and  EC-45, respectively.
 In our simulation of EC-48, far too much formaldehyde  is formed, too
 little PAN is formed (even though it  is much more than in EC-45),  and "too
 much ozone is formed.   If the rate constants in the  mechanism  were changed
 so tnat-the reaction of peroxyacetyl  radicals  with NO  was much slower or
 their reaction with N02 was much faster or  both, the mechanism would
 simulate the  measurements of formaldehyde,  PAN, and  ozone more closely.
 However,  this change would result in  poorer simulations  of olefin  systems.
 This is  discussed in the preceding section  on  propylene  chemistry.
 Another  implication of this change is that  formaldehyde  predictions
 would  be lower than at present;  many  of the formaldehyde predictions
 are already much lower than measurements.

      In  summary,  the explicit  mechanism for butane provides simulations
 that follow the  observed NO to NQ2 conversions per butane reacted.  PAN
 and  formaldehyde are exceptions—the .predicted concentrations  of those
 species are generally  low.   As discussed above, the  PAN  chemistry  in the
mechanism  is  probably  incorrect.

-------
                                  128
 C.   PROPYLENE/BUTANE/NOX CHEMISTRY

      UCR performed a set of experiments on a propylene/butane/NOv  system.
                                                                 A
 To simulate this system, we combined the explicit propylene  mechanism
 and the explicit butane mechanism.   Initial  simulations  with the "com-
 bined" mechanism showed a rapid  loss  of NO  during  the simulation.
                                           A

      The experiments with propylene and butane have a high hydrocarbon
 to NO  ratio and, because of the propylene,  a high  reactivity.   Such  a
      A
 combination rapidly produces peroxy radicals  in  the presence  of  rela-
 tively low concentrations of nitrogen oxides.  If the peroxy radical
 concentrations get too high, the NO concentration is driven  so  low
 (through the reaction R0£ + NO)  that NOX then reacts exclusively with
 N0~ to give N90,-.  The increasing N90,- concentration in  turn drives NO
   L.          C. 0                   L. D                               X
 out of the system via the reaction  with H^O  producing nitric  acid  (HNO-,).

      Owing to such high concentrations of peroxy radicals, the  radical-
 radical  reactions

                          R0| + R'O^ -*• Products
                          V                                   *
 may be significant reactions  fn  this  system.   The reaction rates and
 products  are  not  certain.   Deirterjian  et al.  (1974)  estimated  relative
 rates for primary and secondary  radicals based on some liquid phase
 data by Bennett et al.  (1970).   In  our mechanism, the values  for the
 radical-radical reaction  rate constants estimated by Demerjian  et  al.
 (a/IOC ppm~ min"  )  seem too  low  to  account for the  observed  removal
 of  the peroxyalkyl  radicals.  These rate constants  lead  to unrealisti-
 calTy high  levels  of peroxyalkyl  radicals (^ 10~ ppm) and unrealisti-
            A             -5
cally low NO   levels  (^10   ppm).   Faster rate  constants for radical-
            A
 radical reactions  must  be used in our mechanism  because  the  peroxy
radical reactions with  nitric oxide have a faster rate constant in
our mechanism  (2000  ppnf min" )  than  in Demerjian's mechanism (100-
500 ppm" min"  ).   We  are  using a  value of 4  x 10 ppm" min"   for the

-------
                                  129
peroxy-peroxy radical reactions, which gives adequate fits to the
observed data.  However, the products of these reactions are unclear.
For hydroperoxy radicals the formation of hydrogen peroxide is
accepted, but the reactions of pero-xyalkyl and peroxyacyl radicals
might lead to different radicals:
                     H02 + R02 •* ROOH
                     R02 + R02 + RO- + RO
An alternate pathway for this last reaction is the formation of ^an alcohol
and an aldehyde.  Weaver et al.  (1975) suggested approximately an equal
split, between these oaths-, thev also have data for the alkoxyl path
occurring between 18 and 75 percent of the time.  (See Chapter IV for
further discussion of these reactions.)

1.   Simulation Results

     We performed carbon mass balance  analysis on UCR's propylene/butane/
NO  system.  Results of the analysis are presented in Table 111-14.  The
  /\
carbon recovery values for the propylene/butane/NO  system fall logically
                                                  J\
between the results for the propylene/NO  and the butane/NO  systems.
                                        A                  X
The better balance of EC- 11 4 is expected from its larger propylene/butane
ratio.

     Simulations of the propylene/butane/NO  system were performed on
                                           /\
UCR runs EC-97, 99, 106, 113, 114, 115, and 116 with the initial condi-
tions listed in Table III-15a and the photolysis rate constants for
these simulations listed in Table III-15b.  The factorial  block for
this system is  shown in Figure III-104.  The kinetic mechanism for
the simulation  is presented in Table 1 11-16.  Simulation results for
this system are shown in Figures 1 1 1-105 through 1 1 1-167.

-------
                                130
           TABLE 111-14.  PERCENT  CARBON  MASS  RECOVERY FOR

                          PROPYLENE/BUTANE/NO  SYSTEMS
                                            /\
Time
(minutes)
60
120
180
240
300
360
390
*
Data not

EC-97 EC-99
65% 81%
* 75
74 75
73 77
67 73
* *
* *
available.
ULK Kun Number
EC-106 EC-113 EC-114 EC-115
86% 85% * *
82 74 87% *
76 66 88 *
72 58 80 *
* * * *
* * * 74%
* * * 68

EC-116
76%
64
75
72
66
*
*
TABLE III-15a. INITIAL CONDITIONS FOR SIMULATIONS OF
PROPYLENE/BUTANE/NO₯ SYSTEMS*
A
Run
Number
EC- 97
EC- 99
EC-106
EC-113
EC-114
EC-115
EC-116
NO N02
(ppm) (ppm)
a 397 0. 088
0.407 0.09
Q401 0.102
0.091 0.02
0.794 0.204-
0.402 0.104
0.391 0.104
Propylene Butane HNO£
(ppm) (ppm) (ppm)
0.5 2.1 0.005
0.4 2.0 0.01
0.402 2.0 0.001
0.41 2.08 0.001
0.766 3.66 0.005
0.310 2.94 '0.002
0.824 4.00 0.002
k1
(min'1)
0.351
0.351
0.351
0.351
0.351
0.351
0.351
HN02 data and aldehyde photolysis rate constants are chosen to provide

the best fit of predicted concentrations to measured concentrations;

all other data are UCR measurements.

-------
                                      131
         TABLE  III-155.  PHOTOLYSIS-RATE  CONSTANTS FOR SIMULATIONS
                          OF  PRORYLENE/BUTANE/NO₯  SYSTEMS
                                                  /\
                                  (104 min"1)
 97
 99
106
113
114
115
116
46     350    670   8.1
8.8
                                                       CH3CH2CH(>*
                                   25.0     6.65     7.4
                                                                            MDt*
                                   10.5
                                            5.2
1.0
E
CL
CL
i
X
i 0.5
0.1
*m
97
X "
106 x!15 X116
x!13
i i i
                                       2            4
                                    Hydrocarbon--ppm
                FIGURE III-104.   FACTORIAL BLOCK FOR PROPYLENE/
                                   BUTANE/NOY SYSTEMS
                                            /\

-------
                                    132
          TABLE  II1-16.  THE PROPYLENE/BUTANE/NOX MECHANISM
                                                             Rate Constant

 _ Reaction _      (ppnrl  nrin-1)


 N02 + hv -»• NO + 0(3P)                                        Experimental *




 0(3P) + 02 + M) -»• 03 + M                                    2.08 x 10"5




 0(3P) + N02 -•• NO + 02                                        1 .34 x 104




 03 + NO ->- N02 + 02                                          25.2




 O^D) + M  •+ 0 .+ M                                          8.6 x TO4




 0(TD) + H20 -> 20H-                                           5.1 x 105




 0  + OH- -»• H0  + 0                                          87.0
 03 + H02 •*• OH-  + 202                                         1.2




 03 + N02 -»- N03  -f Og                                         ,5 x 10"2
 03 + hv * 0(3P)  +  02                                         Ex-perimental *




 03 -»• wall                                                    1 x 10"3



 N03  + NO •*• 2N02                                              1.3 5( 104
                                                             5.6 x 103
             2HN03                                           5 x 10"6
N205(+ M) * N03 + N02(+ M)                                   24.0
                                                                 *
                                                                      Q
NO + N02 + H20 * 2HN02                                       2.2 x 10"S

-------
          133
Table 111-16 (Continued)
Reacti on
2HN02 •*• NO + N02 + H20
HN02 + hv ->• OH- + NO
N02 + OH- (+ M) -» HN03(+ M)
NO + OH- •+ HN02
H02 + NO •*• OH- + N02
H02 + N02 •*• HN02 + 02
H202 + hv-*- 20H-
°?
CH3CH2CH2CH3 +0-4 CH3CH2CH(02)CH3 + OH-
CH3CH=CH2 + 0 •*• CH3CH2CHO
CH,CH=CH, + 0 •*• CH,Oj ^~CH.C(0)OA
3 i $ e. 3 t.
202 ,
CH.CH-CH, + 0 — * CH,CH,0; + HC(0)0,
3 L. -J L. f. C.
^ CH CH CH CH 0- + H 0
CH3CH2CH2CH3 + OH- S C«3CH2CH(02)CH3 * H20
CH3CH=CH2 + OH- -£ CH3CH(02)CH2OH
CH3CH=CH2 + N03 -" N02 + Products
°2
CH-CH=CH, + 0, -^ H,CO + CH-,C(0)OA + OH-
«5 t O C. J L.
CI^CH^^ + 03 •*• CH3CHO + HC(0)02 + OH-
CH3CH=CH2 + 03 ••• CH3CHOOCH2
Rate Constant
(ppm-1 min-1)
1.3 x 10"3
Experimental
9.2 x 103
9 x 103
2 x 103
20
Experimental
64.0 -
1 .77 x TO3
1.77 x 103
1.77 x 103
5.0 x 102
2.9 x 103
3.8 x 104
7.82
0.005
0.005
0.005

-------
                                   134
                      TABLE  111-16  (Continued)
                                                              Rate Constant


 	Reaction	    _      (ppm"1 nrin"1)





 HOCH2CH2CH2C(0)02 + NO •*• N02 + HOCH2CH2CH202 + C02           2 x 103





 CH3CH(OH)CH2C(0)02 + NO -»• N02 + CH3CH(OH)CH202 + C02         2 x 103





 HOCH2CH2C(0)02 + NO ->• N02 + HOCH2CH202 + C02                 2 x 103





 CH3CH2CH2C(0)0^ + NO -£ N02 + CH3CH2CH202 + O>2              2 x 103



                   ^9                                               3
 CH,CH-C(0)OA + NO 4 N09 + CH.CH^O, + C09                    2 x 10
   *3£     L*           £     o££     c.




           + NO -+ N02 + CH302 + C02                          2x10





 HC(0)02 + NO -2 N02 + H02 + C02                              2 x 103






 HOCH2CH2CH2CH202 + NO -»• N02 + HO^ + HOCH2CH2CH2CH2CHO        2 x TO3





 CH3CH(0|)C(0)CH3 + NO •»• N02 + H02 + CH3C(0)C(0)C«3           2 x 103





 CH,CH(Or)CH,CH, + NO -»• NO, + CH,CH(0- )CH0CH,                 2 x 1C3
   O    L   c  o          tO        tj                         •**»»




 CH3CH2CH2CH202 + NO -> NOg + CH3CH2CH2CH20-                    2 x 103





 CH3CH(02)CH2OH + NO -»- N02 + Ch'3CH(0-)CH2OH                    2 x 103





 HOCH2CH2CH202  + NO •*• N02 + H02 + HOCH2CH2CHO                 2 x 103





 HOC^CH^ + NO •*• N02 +  H02 + HOCH2CHO                       2 x 103





 CH3CH2CH202 +  NO + N02 + CH3CH2CH20-                          2 x 103





 CH,CH,OA + NO -»• NO,  +  CH-CH,O-                                2 x io3
  O  L, £.           c.      -j  t




CH302 + NO -»• N02 +  CH30-                                      2 x TO3
CH.CH,CH(0-)CH. -^ CH,CH,Oi + CH.CHO                          6-7 x  ll)4
  3  £        o       w  
-------
            135
TABLE  III-16 (Continued)
                                     Rate Constant
   Reaction
09
CH,C(0-)CH9OH -£ CH.CHO + H9CO + HO;
J C O c c
°2

CH,CH9CH(0-)CH- + 0* ->- CH,CH,C(0)CH, + HO;
O t O <- O c O £
CH,CH9CH,CH,0. + 0, -v CH.CH,CH,CHO + HO:
3 c. c c 2 322 2
r*u ^ii r*ij r*» j. A _*. PLJ f*\j /*un x un*
wnov»no**noU ™ u« «" ownownu ~ nuo
322 2 32 2
CH,CH,0- + 0, -»- CH.CHO + HOo
J t & O <-
CH,0- + 09 -»- H,CO + HO;
O £ t C.
20?
H£CO + hv — * HO^ + HC(0)02

H2CO + hv -»- H2 + CO
CH..CHO + hv — 1 CHJk + HC(0)09
<3 j C. £
20
CH,CH,CHO + hv -3 CH,CH,OA + HC(0)Oj
3 C. 3 t. £m £
209
CH,CH9CH9CHO + hv — * CH,CH?CH9Oi + HC(0)0;,
0 ^ ^ j t t i, t

CH,CH9CH,CHO + hv •»• CH.CHO + C-H.
0 t c O t H
CH,CH«C(0)CH, + hv •*• CH0C(0)Ox + CH,CH,Oi
a e. a J f- 3 £ c.
HOCH,CHO + hv -*- HC(0)Ox + H9CO + HOA
£. C C. £.

HOCH,CH9CHO + hv * HC(0)OA + HOCH7CH-0?
c e. c. f- f- e.

HOCH9CH9CH9CHO + hv -»• HC(0)OA + HOCH9CH9CH?0$
€.£.£. c. e. c e. c
CH,C(0)C(0)CH. +. hv — I 2CH,C(0)0:
5 *
3 x 10°
c *
7.5 x 10°
0.95
0.95
0.95
0.95
0.95
*
Experimental
*
Experimental
Experimental

*
Experimental
•^
Experimental
*
Experimental
Experimental
1 x 10"3
_•»
1 x 10 J
_o
1 x 10 J
2 x 10"3

-------
                                 136
                       TABLE  111-16  (Continued)






                                                              Rate Constant


_ Reaction __     (ppm-1 min"1)





H2CO + OH-  -£ HC(0)02 + H20                                  ]  x 10



              0                                                     4

CHgCHO + OH-  -2 CH3C(0)02 + HgO                              1  x 10





CH3CH2CHO + OH- -£ CH3CH2C(0)02 + H20                        ]  * 10



                    Oo                                              4

CH3CH2CH2CHO + OH- -i CH^CH^CO^ + H20                   1x10





CH3CH2C(0)CH3 + OH- -v CH3CH(02)C(0)CH3 + H20                  5.2 x  103






HOCH2CH2CH2CHO + OH- * HOCH2CH2CH2C(Q)0;, + H20                1  x 104





HOCHCHCHO + OH-  * HOCHCHCOjO  + H0                           4
    22    + OH- * HOCHgCHgCOOg  + H20                      1  x 10




                                                                    4
HOCH2CHO + OH- * H2CO  + HO;                                   1  x 10
HOCH0CH,CH,C(0)0; +  HO; + HOCH,CH0"cH,C(0)OOH +0,             1  x 104
    £.£.£.     c.      L      --•*£   C   £.-.      ^   c.





HOCH2CH2C(0)02 + H02 -»• HOCH2CH2C(0)OOH +  02                   1  x 104




                                                                    ^








CH3CH2C(0)02 + H02 *'CH3CH2C(0)OOH  + 0£                       1  x 104






CH3C(0)02' + H02 -»- CH3C(0)OOH + 02                            1  X 104






HC(0)02 + H02 -»• HC(0)OOH  + 02                                 1 X 104






HOCH2CH2CH2CH202 + HO^ -*• HOCH2CH2CH2CH2OOH + 02               4 x 103






CH3CH(02')C(0)CH3 + H02 -»• CH3CH(OOH)C(0)CH3 + 02               4 x 103






CH3CH2CH(02')CH3 + H02'  *  CH3CH2CH(CH3)OOH  + 02                 4 x 103





    !  ^H ptl t\ • ^- MO * *^ f^M f*H ^H  f*M  Of\H -4-0                    Jl ** irt

-------
                                 137
                     TABLE  111-16 (Continued)
                                                             Rate  Constant
_ Reaction _     (ppm-t  nrin-1)


CH3CH(02')CH2OH + HO^ -*• CH3CH(OOH)CH2<3H + QZ                  4 x  TO3


CH3CH2CH20£ + H0£ ->• CH3CH2CH2OOH + 02                        4 x  103


CH3CH202* + H02' -»• CH3CH2OOH + 02                              4 x  TO3


CH302- + HO^ * CH3OOH + 02                                    4 x  TO3


H02 + H02 -*• H202 + 02                                        4 x  }03


CH3CH2CH2C(0)02 + N0£ * CH3CH2CH2C(0)02N02                   4 x  TO2
 CH3CH2C(0)02 +• N02 -»• CH3CH2C(0)02N02                         4  x  10


 CH3C{0)02 + N02 * CH3C(0)02N02                               4  x  102


 CH3C(0)02N02 * N02  +  CH3C(0)0.2                               1.7  x 10"2 *
                   N02 + CH3CH2C(0)02                         2 x  10-
                                                                      *
 CH3CH2CH2C(0)02N02  * N02 + CH3CH2CH2C(0)02                   2.5  x  10"2


 CH30- + N02 -»• CH3ON02                                         2  x  TO4


 CH30- + N02 * H2CO + HN02                                     2.2  x  103


 CH3CH20- + N02 * CH3CH2ON02                                   2.0  x  104


 CH3CH20- + N02 -»• CH3CHO +  HN02                                2.2  x  TO3


Cti3CH2CH20- + N02 + CH3CH2CH2ON02                             2.0  x  104


 CH3CH2CH20- + N02 * CH3CH2CHO + HNOg                          2.2  x  103


        2CH20- + N02 •*• CH3CH2CH2CH2ON02                       2  x  104

-------
            138
TABLE  111-16  (Continued)
                        Reaction
                                               Rate Constant
                                               (ppnT1  min"1)
                                                2-2
CH3CH2CH(0-)CH3
CH3CH2CH(0-)CH3 + N02
CO + OH- -* H02 +  C02
2CH302- -v 2CH30-  +  02
                                                2 x 10

                                                       4
                                                2-2 x 10


                                                2-06 x 10


                                               4 x  TO3
2CH3CH202' ->• 2CH3CH20-  + .0£
                                               4 x TO
                                               4 x  10
                                               4 x  10
2CH3CH2CH(0^)CHx:»; 2pf,CH2CH(0-)CH3
                                              4 x TO
                                              4 x 10
                                              4 x 10
    ^ + CH3CH2CH2CH20^ * CH30- +
    2 + CH3CH2CH(02')CH3
                                              4 x TO
                                              4 x 10
                                              4 x TO
CH3CH202 + CH3CH2CH2CH20^
       ^ + CH3CH2CH(02)CH3
                                              4 x 10
                                              4 x 10
                                                          + 0
                                              4 x 10
                                              4 x 10

-------
                                       139
                           TABLE  111-16  (Concluded)
                                                                        Rate Constant

                       Reaction	     (ppm"1 min"1)





                                                           CH2OH + 02    4 x  TO3





CH3CH(02')CH2OH + CH3CH(0^)CH2OH -*- CH3CH(0-)CH2OH +  CH3CH(0-)CH2OH  + 02      4 x  103
                 -2   -1
t  Units of ppm  min   .
                 _i

*  Units of min  .

-------
                            140
    0-03
    X - SO
    3 - K02
                                      O O 0 &  0
                                  O CO O          0  O  O
                     0    »
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              X  0 2
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              0   2
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                   1C  S

                     X
                                 3 X
                                   2
                                x    z a
                                      2
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O 00 0 O >     HH KB K •* JtflHtRX
                    FIGURE 111-105
                              CU..IUUHATIOJ KALE rACTOS
                     FIGURE  III-106

-------
                                   141
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                      FIGURE  II1-107
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-------
                              142
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                   FIGURE  III-109
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                   FIGURE  111-110

-------
                          143
                                                   n  n  B  n  n
                                     "METHYL NITRATE
         . FTZCIES  ncra caro       concGmurio* SCALE FACTOR i»*«
                   FIGURE  Ill-Ill
                                                                   *ETHYL NITRATE
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                    FIGURE  III-112

-------
                                      144
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-------
                        145
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CC-+9    . BTtCIKS  DOT
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                 FIGURE  111-115-
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-------
                                     146
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                             FIGURE  III-118

-------
                               147
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                      FIGURE  III-1ig
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FSS BSS fiS
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-------
                           148
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TEC-IW
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-------
                       149
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                   FIGURE  III-126

-------
                            151
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                    FIGURE  III-127
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-------
                                   152
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-------
                               153
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                       FIGURE  III-131
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-------
                                   154
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-------
                          155
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                   FIGURE  III-136

-------
                         156
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                   FIGURE  II1-138

-------
                          157
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  SO. 00


EC-114
           lea.tte      iso.o
                                  or. SCALE FACIT:;I  KHO
                 FIGURE  III-139
                      * P
                       P
                      r
                 *   rr
                   p
                 p P
      •  rrr rr
EC-114    - CrCCtf* PAD
               FIGURE  III-140

-------
                                      158
A «.9O
T
1
                                                                           FORKAIDEHYDE
                                                              r F
                                                                  r r
                                                                     r F
                                                                ft w » n n r. r.
                                                           n K x
     ir r Hrcd-m"!
           EC-M'*     . SPEC I m FORK K«
                              FIGURE  III-141
                                        *     *.
             SO.CO       1OO.O0-




          EC-114     . CTI9C11?! ALH3
                                                 KC*U: rACTOtt I***
                             FIGURE  III-142

-------
                       159
                                                              BUTYRALBEHYD:
                   ma
                 p isa
                pp u
           *   P 3
             pr nil
           p p n
           ico. oo      ir-o.oo
                                       2*0. £3      aofl.ftO      3"O.C*t
                FIGURE  III-143
  co.ea     IOO.


EOII4    .
              M      ttw.<
                FIGURE III-144

-------
                            160
                                                     322223122
                                                2X2
                                            3 2
                                        2 2
                                                                   n-BUm KITRATt
                                                                          NITRATC
    2 =
  2    «          44
! 32  4 4444 4444 44 444

   SO. O3      IOO.«3
                                             r^cTa w»*a
                    FIGURE  III-145
                                    CSS
                                SS K
                             K KS
         «S
            ico.co       iso.ea      s~i<>.f..i       xso.co
                              Tlia: i/;t^trn,«.t

        .  cr/xio; BCTO           cwtcumuTKUi KCAU: r*cr»r ii»«
                    FIGURE  III-146

-------
                               161
   o - i
   K - !
   3 - !
                                                    O 0 0 O ti
                                                oo oo          *o o o
                                            OOOO                     O O 0
              22 22i        0
            22     2
                   22    O
           !          2
            XXX      220
                   X   02
                      X  2
                       0   2     i
                        X  2
                     0     2
                           X   2
                     0         2
                           *   X 2
2     •+ fl
 0

O X
                                                     XX  V. 9 2 2
     co.no       11:0. o<»      i!;«.i'fl
                        FIGURE  III-147
                    p          rrr FT r rr
                    *     r rrr          FJTF F rr
                     |*P FIT    '                T₯F 7
                     rr*                          r FT r
                    r   rr*                             ? r r
                        p
                         P *
                                                                 *r *  •  *
  ec- nc     .  ffFfccn:s pnw ronn
                                       Tios HT.M.I: KACIIIU  i6«
                        FIGURE  III-148

-------
                 162
                 c KC/.LJ; KACiun 10*0
          FIGURE  III-149
                                                       PAN
         *  p
          p;-
    *   r P
       r r
•P PP PPTP
         FIGURE  III-150

-------
                              163
                                                    BBBBBBBBBQ
                                     *    <*•
                              rr I'piT r rr?ri*
                                           r? ri- P p  r r
C     P IT
    .  Rprnrs AUC AJJM        con'jFjn-L*,TJTMATIti:< *CA1
 :HMI . (ni




r KACiur.
                   FIGURE  III-152

-------
                  164
                           t    »
                             •''if' .00     SC.i.Crt
            FIGURE ITI-153
                                           E E r E E  E
i."- »r. i;;-. Kim:1, it i;;i ];:,i;
                                      34.0. »a      *^y. Gti
           FIGURE III-154

-------
                 165
                                      s H B s  s a s  fi fr -e  e 6
ssss FW us
       120.00





   .  sr-cc t K>> u
             FIGURE III-155

-------
                  166
                 0 O OO OOO OOOOOOOOOO  0  O O  »   *
              00 0                            o   o*  o* o *

          « O 00                                          '
         O 0
        O 0
  PO
  or
 0   P*
O    P

       P+
                         IT r?
                         »  P P r ;•
                            -     r  P  r
           FIGURE  III-156
                     222
                       2 2
                          232
                             S  2
                                  222
   toe.oo      ICO.do      200.nn      enc
                  TIB: (eivrr;:-;)
           FIGURE  III-157

-------
                              167
 i o*
 1   CO *
D+    O 0
       0 O  *
         0
          O 0
                                  oo * *
                                    O 0
                                      0 0
                       FIGURE III-158
                               cor;ci.Tn>jvT!o>; M:•.!.:: r/.craf.
                        FIGURE IIJ-159

-------
                        168
   co.oa




EC-i ie>
                                                3..00





                                    KCA1X fACTuR 1**0
                   FIGURE III-161

-------
                              169
                                          p r i
                            r? rr .-PPP 7 PPPP p r
                     FP rr rerr
                   r r
    * p
     p
   p p
rr pp
    EC-116    . SPECIES A1JB3          COSCr.BTW.TlOS SCAI.K VACTOfl IO*O
                       FIGURE  II1-162
                                                         C  B   £
                                          DODOBBU           B  B  t
                                     LBB B E
                            •      B D B
                D
               a
              D
             11
       C0.»»      IOO.>0



                    AUrt
                       FIGURE  III-163

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                    170
  CO,60      icn.n





EC-lit    .  SPECIES
Tin*, if:'1.'—.'•_•>•
              FIGURE III-164
EC- 111   .  PF W: IKS
               FIGURE III-165

-------
                                 171
                                                                  n-BUm NITRATE
                              E ti£5. E CEEE K E
                                          K E K  E E
                                                                      ETHYL K11P.AU
err. r. r. nrn r.r-.n nn nn D  it nnn im mum r.i hi htirji n 5;m'.i u n n p. H  n n  BE   c  n   n  r. n  r.
                         FIGURE  III-166
                                                         •J»     •
                           *     m
                             SS KS,™ G ft&SK S 6 S S
                                                       300. w*      ar.o.OO
                        FIGURE  II1-167

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                                   172
 2.   Discussion of the Propylene/Butane/NO,, Systems
      	         -n  	—,     ;'J{      -^-•.

      This set of experiments represents the only test to date of more than
. one hydrocarbon using the present explicit mechanisms.   It also represents
 the highest levels of ozone formed in all  the experiments reported to us
 by UCR--0.74 ppm ozone was measured in runs EC-114 and  EC-116.  The combined
 mechanism for propylene/butane totaled over 120 reactions, and the computer
 program carried some 54 different species; so this set  of simulations was
 the most severe test of numerical efficiency.  A typical simulation required
 about 11 seconds of-computing time on a CDC 7600 using  our present version
 of the CHEMK- computer program.

      The only reactions added to the sum of the explicit mechanisms for
 propylene and for butane were the cross peroxy radical/peroxy radical
 reactions-.-  AS"expected from the-high hydrocarbon concentrations and
 resulting high ozone concentrations in these experiments, the simulations
 indicated~.vepy».hlgh,..per-oxy,_ra.dical concentrations (e.g., HO;, was 2.7 x 10
 ppm at two hours in run EC-116).   The peroxy-peroxy radical-reactions are
 more important in  this series of experiments than in other series because
 their rate of reaction depends oft the square of their concentration.  In the
 simulation for EC-1T6, the highest predicted ozone concentration i-s lower
 than that observed.  Thus, it appears that the rate constant used for
 these reactions, 4 x 10 ^,is too fast.  If a slower rate constant is used
 or if these reactions  are  omitted in  simulating EC-116,  the fits for ozone
 and NO, are .improved.   EC-113 shows a similar effect.  However, we •continued
              3-1-1
 to use  4 x 10  ppm  min   as the rate constant for all  peroxy-peroxy
 reactions (except  peroxyacyVperoxy)  because of the lack of gas-phase data
                                                   4    _i   _i
 on these reactions.  We used a faster rate, 1 x 10  ppm  min   , for the
 peroxyacyl/peroxy  reaction to improve the fit of PAN data in the propylene
 system.

      Another distinguishing feature of the propylene/butane experiments
 is the  considerable number of additional products measured by  UCR.   Most
 of these extra products were nitrates.  If one assumes that all  nitrate

-------
                                  173
formation rate constants are equal, then the amounts of nitrate products
reflect the concentrations of the various alkoxy radicals.  UCR found no
nitrate for which the explicit mechanism did not contain the corresponding
alkoxy radical.  In addition, the shapes of the observed and calculated
nitrate concentration-time profiles were similar— this provides some
validation for the mechanism.  At this time it is not clear whether the UCR
data or the mechanism or the assumption of equal formation rates causes
the differences in absolute concentrations.

     Table I I 1-17 presents a comparison between the experimental  and simu-
lated maximum one-hour-average ozone concentrations near the observed
ozone peak.  The combined system shows the most consistent set of percent
differences, with an average difference of +5.6 percent and a standard
deviation of 7.4 percent.
   TABLE  111-17.   PREDICTED AND MEASURED MAXIMUM  ONE-HOUR-AVERAGE OZONE
                  CONCENTRATIONS- -FOR- -THE PROPYLENE/BUTANE/NO   SYSTEMS
                   Maximum One-.Hour-Average
                   Ozone Cb/fcgntra t1 on (gpm )
EC Run                                                          Percent
  No.           Measured             Predicted                 Difference
  97              0.56                  0.61                      8.9
  99              0.55                  0.59                      7.3
 106              0.55                  0.62                     12.0
 113              0.342                 0.36                      5.3
 114              0.73                  0.77                      5.5
 115              0.58                  0.64                     10.3
 116              0.72                  0.646                   -10.3

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                                  174
     The simulations of this set of experiments seem to justify our choice
of the ratio of the rate constants for the propylene/OH- and butane/OH-
reactions.  One apparent exception is run EC-113, where the predicted butane
decay rate fits the data but the prop.ylene decay rate does not.   Run EC-113
had the lowest initial  NOV concentration of the set of propylene/butane exper-
                         A
iments.  Perhaps an NO  species reacting with propylene is giving rise  to
                      X
 a fortuitous  fit  in  all  runs  except  EC-113,  and the  ratio of the  rate  con-
 stants for propylene/OH'  and  butane/OH-  is  in  error.   A confirmation
 experiment may be necessary at some  future  time.   We also feel that an
 experiment with minimal  hydrocarbon  and  NO  , for example,  0.1 ppm NO ,
                                          A                         A
 0.1  ppm propylene as  in  EC-17, and 0.2  ppm  butane as in EC-43, would be
 useful  and closer to atmospheric  concentrations.   The  most puzzling aspect
 of these experiments which  the mechanism does  not follow  is the  radical
 concentration  of  the peroxy-oxyl  pool in the later stages  of some experi-
 ments.   This  is-shown  most  severely  in  run  EC-115, in  which the  decay
 rates  of both  propylene  and butane decrease markedly between two  and three
 hours.   It is  possible that this  decrease was  caused by a  sudden  dete-
 rioration  of the  light source  at  UCR.   (The  light source  exploded after
 run  EC-116).   However, runs EC-99r*Et-106,  EC-114, and EC-116 showttie
same effect, yet  runs  EC-97 and EC-113 do not.

D.   TQLUENE/NO   CHEMISTRY
               A

     UCR performed ten experiments on toluene/NO  chemistry.  Our
                                                 A
initial analysis  for this system  is  the  carbon  balance.   Table 111-18
shows the carbon mass  recovery for the toluene/NO system.  The
                                                  A
low mass recovery indicates that  many species  were not observed  by UCK.
     The chemistry of the aromatic hydrocarbons in smog  is  still  not
known.  Finlayson and Pitts (1976) and Calvert and McQuigg  (1975)
reported that they were not aware of the details of any  of  the
important products of the oxidation of aromatic hydrocarbons, although

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                                  175
tbess hav^&een detailed investigations of the rate constants  of the
oxidation reactions of certain aromatic hydrocarbons.
                 TABLE 111-18.  PERCENT CARBON MASS RECOVERY
                                FOR TOLUENE/NO  SYSTEMS
                                              /\

    Time
  (minutes)  EC-77 EC-78 EC-79 EC-80 EC-81 EC-82 EC-83 EC-84 EC-85 EC-86
60
120
180
240
300
3%
5
5
5
*
11%
19
18
21
18
8%
11
8
8
7
4%
5
6
7
7
1%
5
6
6
5
2%
2
3
4
5
4%
5
6
6
7
*
0.5%
*
2
2
2%
7
7
8
7
1%
1
2
3
2
   Data not avail able
Davis (1976) recently measured rate constants of reactions, involving
hydroxyl radicals with aromatic hydrocarbons.  Table 111-19 presents a
list of his results.  Hansen et al. (1975) also measured the rate
constants for reactions-involving hydroxyl radicals with aromatic
hydrocarbons.  Both Hanson et al. and Davis agreed on a value of
the rate constant for the toluene/OH- reaction consistent with
measurements by Doyle et al. (1975).

     Reaction of toluene with atomic oxygen is slow compared with
reactions involving hydroxyl radicals.  Recent measurements by
Furuyama and Ebara (1975) show good agreement with Atkinson and

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                                   176
 Pitts'  work (1974)  on toluene + 0(  P)  reactions.  They found that
 the rate constant for the reaction  of  toluene with atomic oxygen is
 approximately 120 ppm  min  .
        TABLE 111-19.  RATE CONSTANTS FOR REACTIONS INVOLVING  HYDROXYL
                       RADI-CALS AND AROMATIC HYDROCARBONS
              Hydrocarbon
              Benzene
              T.ol uene
              o-Xylene
              ntXyJene
              Ethyl  benzene
              n-Propylbenzene
              rso-Propylbeniene

              Source:  Davis (1976).
                   Rate  Constant
                    (ppnHmin"1)
                     2.9 x  103
                     1 x 104
                     1.8 x  104
                     3.04 x  10
                     1,2 x 104
                     9.2 x 103
             *^.     1.1 x 104
                             ,4
            Low Pressure
            Measurements
             (200 torrV
Tnere have-been several reaction pathways postulated for the reaction
of toluene with hydroxyl radicals:
CH.
                                        CH;
                                OH
H20
                                         (III-D

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                                  177
                                                                  (in-2)
                                                                  (IH-3)
                                                                  (III-4)
Reactions (III-2) and (III-4) also have ortho analogs.  Finlayson and
Pitts (1976) and Davis (1976) believe the main pathway for OH- attack
is addition of OH- to the ring rather than abstraction of a hydrogen
from the methyl group.  This conclusion is based on the similarity
of the toluene/OH- rate constant to those of the reactions of hydroxyl
radicals and many other alkyl benzenes.  We estimated heats erf -„,
enthalpy for the above four reactions using the techniques of Benson
(1968) and data taken from Domalski (1972), with the following results;
                        AH?  =  -34.4 kcal  mol"1   »
                        AH°  =  -0.47  kcal  mol
                                             -1
                        AH°  =  -10.7  kcal  mol"1
                        AH°  =  -46.6 kcal  mol"1

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                                   178
 The large enthalpy change associated with Reaction  (III-4) indicates that
 formation of a  hydroxymethylcyclohexadienyl radical may be the major path-
 way.   The smallest enthalpy change  is  for formation of cresols.  The
 hydroxymethylcyclohexadienyl  radical reacts readily with molecular oxygen.
 The peroxyhydroxymethylcyclohexacienyl radical may react with NO in three
 general  ways:
                     CH3       CH
                         + NO
N0?  AH = -37.8 kcal  mol   , (III-5)
                CH.
                II  I    + NO -* Nitrotoluene +  Products     »
                     o;
                 OH    '
                            (111-6)
                        +  NO ->- 'Nitrocresdl  + Products
                            (HI-7)
     The products of Reactions (III-6) and (III-7) determine the enthalpy
changes for the reactions.  Possible products and corresponding enthalpies
for Reaction (III-6) are:
         CH.
        II  'I    + NO + Nitrotoluene  +  20H-   ,  AH° =38.9 kcal mol"1
             °2
         OH   *

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                                179
        CH.
       II  'J    + NO + Nitrotoluene + H00 + 0    ,   AH°  =  21.7 kcal mol"1
        OH

        CH,


       [p]    + NO + Nitrotoluene + H00- + H-  ,  AH°  = 77.1 kcal mol'1
        OH

        CH.
               + NO -»• Nitrotoluene + \\      ,  AH° =  -12.7 kcal mol"
        OH
We see that the formation .of H2024S tne most favored reaction  thermo-

dynanrically.  For Reaction (IIT-7) possible products are:
         CH
         OH
                CH.
3                ' 3

      + NO -»•

              . OH
                                   + OH- +  H-   ,   AH°  =  38.5  kcal mol"1
         CH.
                CH.
                   NO
                           H20   ,
                                                                   -1
                                NO,
         OH
                OH

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                                   180
The main reaction pathway from this analysis appears to be the formation
of nitrocresols.  Nitrocresols have been reported by Schwartz (1974),
who also reported nitrotoluene and aerosol formation in toluene/NOv
                                                                  X
systems.

     Akimoto et al. (1976) investigated the products of the toluene-OH-
reaction.  They found the products in an oxygen-free system were
o-cresol, a-nitrotoluene, and m-nitrotoluene.  They concluded that the
production of a-nitrotoluene, which occurred only in the absence of
oxygen, suggests the presence of benzyl  radicals and implies hydrogen
abstraction from the methyl  group of toluene by oxygen atoms.  Indeed,
in the presence of oxygen benzaldehyde was found instead of ot-nitro-
toluene.  The m'trocresol and nitrotoluene may photolyze as follows:
                          + hv •*• R
This reaction is discussed by Calvert and Pitts (1966).  The aromatic
nitroso compound may decompose to form a peroxyphenyl  radical.  Owing to
the lack of detailed product analyses in the UCR data  and the lack of
supportive experimental evidence, we have not included an explicit
toluene kinetic mechanism.  We have simulated UCR's toluene runs with
the new carbon bond mechanism (see Chapter IV).   We hope that in future
UCR experiments on aromatic NO  systems more products will be identified.
                              J\

E.   1-BUTENE/NO₯ CHEMISTRY
                A  i
                                     •;•
     Near the end of the work reported  in the foregoing  sections,  we
received data on three  1-butene/NO  experiments done at  the UCR evacuable
                                  J\
smog chamber.  An explicit mechanism for  1-butene  systems was constructed

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                                  181
by expanding the propylene mechanism.  Working on 1-butene experiments
has been beneficial to our understanding of the propylene experiments
because of their analogous product distributions.

1.   Oxidation of  l~Butene

     The reaction  of 1-butene with atomic oxygen apparently produces the
following products:

              CH3CH2CH=CH2 -t- C —+ CH3CH2CH2CHO

                               2°2       »
                               -4 CH3CH2COO-  + CH302
                                 £ pu pu pu n •  4. HPH *

The total  measured rate constant reported by Japar and Niki  (1975)  is
5.3 x 10  pprrf min~ .  The n-peroxypropyl radical  will  react with nitric
oxide to form n-propyl radicals- as in the pT0pylene/NO  mechanism.   The
                                                      A
peroxypropionyl radical will react with N02 to  produce peroxypropionyl
nitrate (PPN).  The path  to butyraldehyde is included in analogy to the
propylene system and because in two similar experiments (EC-123 and
EC-124), the observed initial rate of butyraldehyde production increased
when the initial nitrogen dioxide concentration was increased--the latter,
of course, increases the  initial oxygen atom concentration.  The initial
rates of 1-butene disappearance (due primarily to attack by OH-) in the
two experiments were similar, so the hydroxyl radical did not seem to
play a role in butyraldehyde production.

     Reaction of hydroxyl radicals with 1-butene is assumed to lead to
the production of propionaldehyde, formaldehyde, and a hydroperoxy
radical  (HOi).  The mechanism for hydroxyl addition is:

-------
                                   182
                                     02       92
                  CH3CH2CH=CH2 + OH- -+ CHgCHgC
                                              0-
                   CH0CH0CHCH?OH + NO -*• CH-CH?CHCH9OH + N00
                             ^            *3  £    C       £_
    r
   ,CH(
CH3CH2CHCH2OH
                                                  HCHO
1-butene can also react with ozone:
   CH3CH2CH=CH2
       A
      0  N0
CH3CH2CH—C
CH3CH2
                         02  0-
                         CH~CH/
The blradical will presumably decompose to.jfonri'tfce peroxypropionyl  radical,
formaldehyde, and a hydroxyl radical.  As discussed earlier, .Niki e± al.
(1976b) found that the alky! ozonide is also a stable product of the ozone-
olefin reaction:
                                  I      I
                           CH.CHpCH    •  CH«
                         ,CH0CH     CH0
                         3  2  \  /  2
                                 0
As in the propylene system, we have not fully investigated the reactions
of the ozonide or its  effects on the kinetic mechanism.

 2.   Simulation Results
      Table II1-20 presents the kinetic mechanism for  1-butene/NO  chemistry.
 This mechanism is similar to the propylene/NO  kinetic mechanism except for
                                              /\

-------
                                 183
the chemistry of the four carbon atoms.  Figure 111-168 shows  the
factorial  block for this system, Table III-21a shows  the initial condi-
tions for the computer simulations, and Table II1-21b shows  the photo-
lysis rate constants.  We also performed a carbon mass recovery analysis
of the 1-butene/NO  system, the results of which  are  presented in  Table
                  X
II1-22.   Analogous to the propylene/NO  carbon mass recovery,  there  is
                                      /\
only a 60 to 80 percent carbon recovery for the three 1-butene runs.

     Initial computer simulations of the three UCR runs (EC-122, 123,
124) are shown in Figures III-169 through Ill-ISO.
                       1.0
                   Q.
                   Q_
                       0.5
                       Q.I
             x!24
—   X122    x!23
                                      I
                        I
                           0.1        0.5          1.0
                                   1-butene--ppm
                    FIGURE  III-168.   FACTORIAL BLOCK FOR
                                     1-BUTENE/NO  SYSTEM

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                                 1S4
            TABLE 111-20.   THE  1-BUTENE/NOV MECHANISM
                                              /\




                                                             Rate Constant

 	;	Reaction	      (ppnrl  im'n~1)



 N02 + hv -, NO + 0(3P)                                        Experimental*




 0(3P) + 02 +  M  •»• 03 + M                                     2.08 x 10~5 f




 0(3P) + N02 * NO + 02                                        1.34 x 104




 03 + NO •»•  NOg + 02                                          25.2




 O^D) * M" +  0 + M                                          8.6 x TO4




 O^D) + H20+ 20H-                                           5.1 x 105




 03 + OH- -*- HOg + 02                                          87.0




 03 + H02 •* OH' + 202                                         1.2





 03 + N02 * N03 + 02                                          5  x ICT2




 03 +  hv *'0(1D) + 02                                         Experimental*




 03 +  hv-»- 0(3P) + 02                                         Experimental*




 03 -»- wall                                                    1.x 10"3




 N03 + NO + 2N02                -                             l.SxtO4





 N03 + N02 + N205                                             5.6 x id3




 N205  + H20 +  2HN03                                           5 x 10"6
N205(+ M) * N03 + N02(+ M)       .             .               24.0
                                                                  *
NO + NOg * H20 * 2HN02                                       2.2 x 10"9

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                                   185
                       TABLE  111-20 (Continued)
Reacti on
2HN02 + NO + N02 + H20
HNO£ + hv -*• OH- + NO
N02 + OH- (+ M) -*- HN03(+ M)
NO + OH- -»- HN02
H02 + NO •*• OH- + N02
H02 + N02 -*- HN02 + 02
H202 + hv -»• 20H-
ru ru ru-ru j. n . ru ru ru run
wno^novii~Crio ^ U *"*" v/n,*Uno'-'nol*nU
202
CH-CH,CH=CH9 + 0 — £ CH-OA + CH.CH9C{0)0:
6 c c. 3 e. it. f.
20,
CH9CH,CH=CH, + 0—4 CH-CH,CH90; + HC(0)Oi
22 2 3 2 c c f-
°9
CH3CH2CH=CH2 + OH- 4 CH3CH2CH(02)CH2OH
CH3CH2CH=CH2 + N03 -> N0£ + Products
CH-CH,CH=CH, + 07 -£ H,CO + CH,CH,C(0)0; + OH-
o t £ j C u t t
CH3CH2CH=CH2 + 03 ->• CH3CH2CHO + HC[0)02 + OH-
A
CH0CH0CH=CH, + 0- •*• CH,CH9CHOOCH»
Rate Constant
(ppnr' min"l)
1.3 x 10"3
Experimental
9.2 x 103
9 x 103
2 x 103
20
*
Experimental
1.77 x 103
1.77 x 103
1.77 x TO3
4.8 x 104
12.0
5 x 10"3
5 x 10"3
5 x 10"3
CH3CH2CH2C(0)02  + NO
                                               2 x ID
g + NO -4 N02 +
                                  + C0
2 x
        ^ + NO -* N02
                                               2 x icr

-------
                                   186
                       TABLE  I11-20  (Continued)
                        Reaction
                                                              Rate Constant
HC(0)0|  + NO
                                                             2 x 10
CH3CH(OpCH2OH + NO - NOg + CH3CH(0-)CH2OH
                                                              2  x  10
CH3CH2CH(02)CH2OH + NO
                                                              2  x  TO
         + NO -»• N02 + CH3CH20-
                                                             2 x TO
      + NO -^ N02 + CH30-
                                                             2 x 10
CH3CH2CH(0- )CH2OH
                                                             3 x 10
                   CH3CH2CHO
                CH3CHO
                                                             0.95




                                                             0.95
CH30- * 02 + H2CO + H02



          20y

H2CO + hv — £ H02 + HC(0)02
H2CO + hv -»• H2 + CO





CH,CHO + hv —£ CH.Oi + HC(0)0,
  ,3               <9 C.         t


               202

CH,CH,CHO + hv —* 6H.CH90
  O  fc               J  t
                              HC(0)0
                  20,
CH3CH2CH2CHO + hv

                               )2 + HC(0)02
                                                             0.95



                                                                          *
                                                             Experimental



                                                                          *

                                                             Experimental




                                                                          *
                                                             Experimental




                                                              Experimental






                                                              Experimental *
CH3CH2CH2CHO + hv -* CH-jCHO +
H2CO + OH-
                     ^ + H20
                                                              Experimental




                                                              1 xlO4
          OH-  -» CH3C(0)02*
                                                              1 x 10

-------
                  187
      TABLE 111-20 (Continued)
                                             Rate Constant

       Reaction                              (ppnH
09                                                  4
  - CH_CH-C(o)o:r + H.O                         1  x Mr

CH3CH2CHO + OH-  -5- CH3CH2C(0)0£




                  0

CH3CH2CH2CHO + OH- ^ CH3CH2CH2C(0)02 + H£                     1 x 10'




                                                                    yi

i*noV*nrtl*nrti/ \ U )'\Jn "* HUo "*" wn^Cno^nrtC \ 0) OOH "J"  0*^                  1 X 1 0





CH3CH2C(0)02  + H02 •*• CH3CH2C(0)OOH + 02                      1 x 104





CH3C(0)02 + H02 •»• CH3C(0)OOH + 0£                            1 x TO4





HC(0}0£ + H02 * ftC(0)OOH + 02                                1 x TO4





CH,CH9CH(0;)CH,OH + HOX + HO; -»- CH,CH,CH(OOH)CH9OH             4 X TO3
  6  c    c.   c       f.     £.     3  c.         L.




CH3CH2CH202 + HOj -»• CH3CH2CH2OOH + 02                         4 x TO3





CH,CHoer^+ R0^-•*• CH,CH,OOH +0,                              4 x 103
  3  t 2      Z...     J  f.        c.




CH302- + HOg- * CH3OOH + 0£                                    4 x 103




                                                              A v in3
HO^ + HOx * H,0, +0-                                        4 x 10
  £     C.     C t    £



CH3CH2CH2C(0)0£ + N02 * CH3CH2CH2C(0)02N02                    4 x  102





CH3CH2C(0)02  + N02 * CH3CH2C(0)02N02                         4 x  102





CH3C{0)02 + N02 * CH3C(0)02N02                               4 x  102




                                                                       -2 *
CH3C(0)02N02 -^ N02 + CH3C(0}0^-                                1.7  x 10



                                                                      2*
CH3CH2C(0)02N02 * N02 + CH3CH2C(0)0|                           2  x 10"

-------
                                        188
                            TABLE II1-20 (Concluded)




                                                                           Rate Constant

                       Reaction                                            (ppra"1 min"1)
                                                                                    fl *

 CH,CH9CH,C(0)09NO, •+ CH-CH,CH9C(0)0: + NO,                                  2.5 x 10"Z
   w££     c  £     O  £  c     C.     c.




 CH30- + N02 * CH3ON02                                                       2 x TO4





 CH30- + N02 -*• H2CO + HN02                                                   2.2 X 103





 CH3CH20- + N02 * CH3CH2ON02                                               "  2.0 x 104





 CH3CH20- + N02 * CH3CHO +  HN02                                              2.2 x 103





CH3CH2CH20-  + N02 -»• CH3CH2CH2ON02                                           2 x 104





CH3CH2CH20-  + N02 * CK3CH2CHO + HN02                                        2.2 x 103





         °2                                                                          2
CO + OH* -* HO, ,+ C00                                                       2.06 x 10*
CH3Cri2CH(02)CH2OH
* Units of  min   .

                -2    -1
t Units of  ppm  min
              2 ,    2





                                                                                  3
                                                                            4 x 10

-------
                                          189
               TABLE 111-21 a.  INITIAL  CONDITIONS FOR SIMULATIONS


                                 OF  l-BUTENE/NOv  SYSTEMS
                                                 A
EC Run
Number
122
123
124
NO
0.398
0.401
0.608
N02
0.103
0.106
0.385
1-Butene
0.217
0-404
0.424
HN02
0.01
0.01
0.01
kl
0.29
0.28
0.27
          TABLE III-21b.   PHOTOLYSIS RATE CONSTANTS FOR  SIMULATIONS


                             OF 1-BUTENE/NOV SYSTEMS
                                             J\




                                      (104 mirf1)





EC Rurt   Qy+^D   0,-*03P   HNO,--   H,0,-   urun_^ ..urn    HCHO+CO+H,   CH,CHO*   CH,CH,CHO-"  CH,CH,CH,CHO*
nuTTujci    ,5        j         d.     £. c.    nL.nlr*Tl"'T'nLU»           L.     J        0  c.        o  £.  C
 122)

    >•     38.0     93.0     540     6.7        7.3          20       5.0       5.5           9.4

 123 \



 124      34.0     82.0     500     6.2        6.5          18       4.5       5.0           7.7

-------
                                190
TABLE 111-22.  PERCENT CARBON MASS RECOVERY FOR 1-BUTENE/NOY SYSTEMS
                                                           y\
Time
(minutes)
60
120
180
240
300
360
480
540
600
EC- 122
76
70
63
63 -
61
*
*
*
*
EC-123
8CT
71
69
64
60
*
*
*
*
EC-124
85
81
82
81
78
78
75
-Zf
73"
* Data not available.

-------
                          T9T
   • - 00

   I - 10

   * - Ml
            *      XX
               IX   X

         .;,             * *,
                     I        0 •

                     UK *   0 O*

                     * V 0

                        •K •  *

                     *0 0 X I   *

                            9 I
                     OO
     <*.M     IM.I
                             TIKE (HIKVIEBt


                             concamurioB
                                                          •M.M     4fi«.*ff
                    FIGURE  III-169
                     rtrr
             t »   IT
               rr
 r
r
r x
              ra     rrrrrrfr   •
            »  •  rrrr r r           r r r 7
           *  r IT  i                     r F »
         *»     »»»
        '  t     •   »                            r  r
       r r          x n     •                        r r
        rx.nx
      r r   x          •  xo
     rr                    B       x
    r r                  >   a               x
    r  »                    • o B
   r  x                       «   »               x
  r                              »                 x
  r                           •  •  >
                                          . » DD B

                                             •  • B

                                                 • »• B B
                                                      •   1 • B •
                                                   k.M      «•*.••
                     FIGURE  II1-70

-------
                                     192
                                                             z m
                                                               PAN
              A     X

         . AA*            -  .    *  ,r" •
         I A   X         *        F f
                            r rrr                  «  o o
              *  ^ f *F r r FT rm    • o o o o o  • • o • c

            ••.M     13*.••      fM.M     »M.W      0M.M
                                      Tim; minrnxi

          ce-iaa    .  imiix ALU rAi  m     oaKramiriiui ECUZ r»cro»
                              FIGURE  III-171
II
T
ft
A
T
I
* ETHYL HI71UITE
                                                   B  B BB B
          *           .IB
                    B I     E
                  «       X
                 B       X    <
               B        X
             B>        e
           BB        X
          B         X
             «*.M      IM.M
                              FIGURE III-172

-------
                                       193
                                                                    • • oo moo  •
               aa     a a
     »    a  x      xx
                              0
                            xo
                            00 1C
                                 X  X     22
                                         x     a
•.!*•  a
             jr     o   •
               OttK»
                •* i
             oo •
                                                                     XX     X
                     . 12*.M      IO».M
                                                              •M.M      «M.M      4U.M
                         03  M  M3     COUCCfcTMATlWI CCALC rACTOft !•*«
                               FIGURE  III-173
                            IT r rrrr mr
                  BT    F rrr rr r rr rr
                  ra  r rr             i
                 r  r            •
                F FF »
               F F   •
              FJF      *
             F F       >
            F          »  •  X    X
                             m a  •

                               to
                                            r '
                                               r T
     *        if
x                 IT rr
          x          rr F
                                  B D    *
                                    ona   •  *
                     I3>.M      101.1
                  •recia  BVTI FOHI *LM    canoomuTioR KULC FAcraa !*••
                               FIGURE  III-174

-------
                                    194
                                                                    tin rrrr »
                                                               rt I
                                                         r F
                                                       r
                                                     t
                                             r                       A * AA
                                                               AX A   •
                                     »     r               A  *
                                         IT             A A     «
                                        ?       X     A

                                       /   '   AA  *  *
                                    r     x  AA
                                   r    A
                          •       r  x AA
                                X P  A
                                r AAA
                               r A •
                          Z   PA A
                        P            •                                    0000 «
                                                                      O OO
                                «                                 00
                                                             « 0
              _.                                        000
             A     P       •                        O  0
           AA      P                           a • O
         A       P   •                   00 O 0
      X A      IT                   OO  OOO
  AAA AA-A  P PP PPP      00 000  OO 0 00 OO OO	               .

         M.M      I30.M      IO*.M


        •U3    .  OPGCIIB PAH  PP> ALB3    OOHC£ITTttATMNI CCALC PACTDA !•»•
                             FIGURE  III-175
                                                         «     •        XX XBZ X • X
                                                                XXI
                                                         XXX
                                                      X X
                                                    X
                                                  I
                                        X X
                                       zz
                                      n
         •             K                            »     *     *
                   XU U> DO » BO IU)
                 ED    X          HUH  I
                B    I                 XBBH
              mi                      B B
             B      I                     «   X B B
           mi                                > x
          B      X                  •                 B B
         B                                                IB
        B       I              •                  .             B B
       I       EE                                                   B B
     B       X
    B        t
 B B       I
 B         X
B        E
        X
   EC X [
                  IW.W       UB.M      XM.O*
                                    TIIE IIItVHSl
                             FIGURE III-176

-------
                                195
    *    XX
    IK X
   • X
  > X  I •
                     XXX
                 XX     • X X X' X
             XX                  X X X X
X X
                                                    xx   >    a
                                                       X
                                                         X     1
                                                           X X
                                                               X
00°0<0000 0.0.
                                             KKKKPII
                IM.M


              •rccica «a
                           Ma    coKcnrnuTioi* MALE FACTOR.  !•*•
                         FIGURE  III-177
                               T  t  T   T  r  T
                •   T
                  r
                r      r  r +1  T  r  r
                    r                   '
             T    r   «
                r        *
          .r r      «              •
           r        x  x • x>
         rxx      ..xxx
        r r                     B
       r r«                    -
       r                        • -i
                                FCBWIDEHYCE
      M.M       M*.l
                                 Tl» IHlUVTEEl

                                 caMjurnuTiMi SCALE r*crM  •««•
                         FIGURE  III-178

-------
                                  196
                               X    A

                           *     A  •

                               A
                                                                      »   * FWI
                X      A
                                                                   PAX
      X   A
      A A «
AA AX A A*   *
    TD-at    .  irecin
                           FIGURE  III-179
                        ,  .
                               . »
                            *  "
                                                            x .» x   x
                                                            •   •
                                                                 1
                                                                   •  m
                                           ' rnm. KITRATE •
            IX*
         I    X
       it          * n
               H  ff   *
       •*.»*     IM.M


     EO-IM    . •I'ECIIV Al
TIIK dU«VTTSl
                                                        I.M      M*.M
                                          KCALC FAC1W\  !•*«
                           FIGURE  III-18Q

-------
                                  197
3.     Discussion  of 1-Butene/NO  Systems
                              /\
     Only three 1-butene experiments were simulated, yet the results are
very helpful to the understanding of olefin behavior in smog formation.
Modifying the propylene mechanism seems to give the overall pattern
of products.  By studying the observation from runs EC-123 and EC-124
for the production of butyraldehyde, we learned that the rate of its
formation correlated with the initial N02 concentration.  The propylene/OH-
reaction with a hydride shift postulated by Durbin et al.  (1975) leads
to propionaldehyde formation.  Similarly, one would expect that butyralde-
hyde would form from hydroxyl attack on 1-butene.  But butyraldehyde
formation correlates with initial N02> implying oxygen atoms from NC^
photolysis attack 1-butene.  Thus, the hydride shift reaction may
be incorrect.

     A comparison between the predicted and measured maximum one-hour-
average ozone concentrations is shown in Table 111-23.  The average
difference is +6.6 percent with a standard deviation of 24.8 percent.

     The problems involve'^ in NOV loss and PAN chemistry (in this case
                                A
PPN), which occurred in all simu-lations in this report, appear to be
more severe in the 1-butene experiments.  We hope to use these experi-
ments to help evaluate some changes in the mechanisms that may resolve
these problems.

-------
                          198
TABLE 111-23.  PREDICTED AND MEASURED MAXIMUM  ONE-HOUR-
               AVERAGE OZONE CONCENTRATIONS  FOR THE
               1-BUTENE/NO  SYSTEMS
             Maximum One-Hour-Average
             Ozone Concentration (ppm)
EC Run
No.
122
123
124
Predicted
0.208
0.43
0.283
Measured
0.216
0.48
0.21
Percent
Difference
-3.5
-11.5
34.9

-------
                                   199
             IV  A NEW  GENERALIZED LUMPED MECHANISM


      Thus far in this document, we have discussed  the development of
 explicit kinetic mechanisms.  In earlier works  (Hecht et  al., 1974a,b),
 a generalized kinetic mechanism was developed for  use in  modeling urban
 air pollution.  That mechanism groups each  individual hydrocarbon into a
 general class; for example, propylene, 1-butene, and ethylene are classi-
 fied as olefin.   The use of that mechanism  has  highlighted  certain diffi-
 culties, such as:

      >  The average carbon number for each  class of hydrocarbon
         must be  known; such determinations  are  sometimes  not
         available.
      >  If the average carbon numbers for the different general
         classes  are quite different, then the stoichiometric
         coefficient that relates to the overall average chain
         length is  difficult to determine and remains -untested,,
      >  It is difficult to model "high concentrations of less,
         reactive species and low concentrations of highly
         reactive species in one -group with  one ^et of reaction
         rate constants.

     The original Hecht, Seinfeld, and Dodge (HSD)  mechanism is  based  on
the concept that the concentrations to be used  as  input  data for each
general class are converted into units of ppm by volume  of some  repre-
sentative compound with an average carbon number.   Experimental  data
for mixtures of hydrocarbons are often reported  in  units of ppm  as car-
bon (ppmC), and additional measurements that characterize  individual
hydrocarbons, the number of double bonds, carbonyl  bonds,  or aromatic

-------
                                  200
 rings might be known.  In order to utilize the HSD mechanism,  one must
 proceed through a series of conversions and assumptions  to  obtain the
 relative amounts of the hydrocarbon classes (olefins,  paraffins, aro-
 matics).  One must also estimate an average carbon number for  each class.

      Another difficulty with the original  HSD  mechanism  comes  from a
 noninteger stoichiometric coefficient used to  estimate the  number of
 times that ROA radicals normally react with NO to  produce N0£  and RO-
 radicals,  which can lead to carbonyl  compounds.  The carbonyl  compounds
 in reality react to form an ROA or RCO; with fewer carbon atoms and HOx.
 However, in the HSD mechanism some fraction of the original R-reappears
 at the end of each of these cycles, the  fraction depending  on  the
 stoichiometric coefficient, &.   This  coefficient acts  like  an  amplifier
 in that any number of reaction  cycles  up to infinity is  possible
 depending  on the choice of e.

      With  the original  HSD mechanism,  it is difficult  to simulate a
 mixture of olefins of widely different reactivities.   In the actual
 atmosphere,  the most abundant olefin  measured  has  been-ethylene
 (Calvert,  1976).   Even  though ethylene is  the  least reactive -o-lefiIT,
 its high concentration  makes it an important factor Tn smog chemistry.
 The other  olefins  are much less abundant,  but  much more  reactive.  Mix-
 ing all  olefins together as  one  lumped species makes it  impossible in
 principle  to model  the  ethylene/other-olefin chemistry (Hecht  et al.,
 1974b).

      In  the sections  that  follow,  we  first discuss the specific revisions
we have made to the originaLHSD mechanism, we  then describe the develop-
ment of a new generalized  mechanism,  and finally we present and analyze
the results of simulations  using this  new  mechanism.

-------
                                   201
 A.    REVISION  OF THE HS.D MECHANISM

      The  original  HSD mechanism,  as  shown  in  Table  IV-1, has been updated
 to  include  recent findings  from our  work on explicit  kinetic mechanisms.
 The main  changes are as  follows:

      >  Formyl  radicals  are treated  as  forming peroxy-
        formyl  radicals  rather than  breaking  down to  HO;, and CO.
      >  The HOA-NO;, reaction has been included;  this  reaction
        may be important in the late afternoon and  evening
        chemistry.
      >  An  aldehyde photolysis  path  leading to stable products
        has been added.
      >  PAN decomposition has  been added.
      >  A path to  form nitroaromatics has  been added.
      >  Decomposition of RO- radicals has  been incorporated into the
        mechanism.

 B.    THE  NEW-GENERALIZED MECHANISM

      Because of the association of reactions  and reactivities with carbon
 bonds, the  range of reactions  and the range of rate constants in a kinetic
 mechanism can  be harrowed considerably when each carbon atom is treated
 according to its bond type.  This concept  is  the basis for the new carbon-
 bond  mechanism, which is listed in Table IV-2.  In  this mechanism.
 hydrocarbons are divided into  four groups: single-bonded carbon atoms,
 fast  double bonds  (i.e.,  relatively  reactive  double bonds), slow double
 bonds, and  carbonyl  bonds.  Single-bonded  carbon includes not only paraffin
 molecules but  also  the single-bonded carbon atoms of  olefins, aromatics,
 and aldehydes.   Double bonds are treated in pairs of  carbon atoms.
 Therefore,  the  concentrations  of ethylene, olefins, and aromatics are
 taken as  the concentrations of  the double  bonds in  those species, which
 are one-half of the ppmC  concentrations after the single-bonded carbons
 are subtracted.  An activated  aromatic, ring is considered as three double
bonds in the present  formulation of  the mechanism,  and because of a

-------
                            202
   TABLE IV-1.   THE  ORIGINAL HECHT, SEINFELD, DODGE MECHANISM
      N02 + hv  -*•   NO  * 0


    0 + 02 + M  +   03  + M


       03 + NO  *   N02 + 02
                 >The N02-NO-03 Cycle
    0 + NO •+ M  +   N02 + M
       0 + NO,
NO + 0.
             tn  ^   I1W  ' U«


   0 + N02 + M  -»•   N03 + M



      °3 * N02  ~"   N03 * °2

      N03 + NO  -t   2N02


     N03 + N02  -J   N205—


          N205  i*  N02 + NO,



    N2°5 * H2°  "  2HN03
     NO + HNO
3  " HN02

   13
   HN02 + HN03
                       ,  Important  Reactions of 0
                       'with  Inorganic Species
                 .The Chemistry of NO.,,
                 'N«0.c. and HNO,     J
                   c. o         o
                1 Reactions of HNO- with
                /Inorganic Species
NO +- N02 + H20  •*  2HN&2


         2HN02  " NO + N02 + H20  ^ Chemistry of HN02
     HN02 + hv  " OH + NO

-------
                             '203
                       TABLE IV-1 (Continued)
      OH + N0
                17
                18
                 HNO.
OH + NO + M  *   HNO- + M
OH + CO +  (02)  -   C02 + H02
                                             Important Reactions of
                                            'OH with  Inorganic Species
                20
      H02 + NO  *  OH +  N02
            hv  *   20H
                                        )Oxidation of NO by H02
                                        >Photolysis of
             22
          0  •*•  ROO
      HC
                23
                                 (l-a)HO
                RCOO + RO + HC
                  5    -      '
        1 T W3
                »
      HC, + OH  *  J?00 +.HC4
             0  -*•  ROO
       HC2 +OH
                26
                ROO +,H20
       HC3 + 0  -*•  ROO + OH
      HC3 + OH

      HC4 + hv
                28
                ROO
                       (2-3)H0
   HC
            OH
                30
Organic OxIdaThjn Reactions
  H^ = Olefins
  HC2 = Aromatics
  HC3 = Paraffins
  HC4 = Aldehydes

-------
                       204
              TABLE VI-1 (Concluded)
ROO + NO

RCOO











+ NO


RCOO
it
0
RO

RO •

RO

+(o2)


+ NO,
2

4 O,

*• N02

+ NO
31
* RO + N02
32
-*• ROO + N02 + C02
33

* RCOONO,
it L
3. 0
* H02 + HC4
35
* RON02
36
-> RONO
                                       Reactions  of Organic
                                     )Free  Radicals  with  NO,
                                          ,  and 0
H02 + H02
           37
           38
H02 + ROO  ^ RO + OH + 02
                    *~v

     2ROO   f 2RO + A,
                                         Other Peroxy Radical
                                         Reactions

-------
                            205
        TABLE IV-2.   THE  CARBON-BOND MECHANISM
                                                   Rate  Constant


	  Reaction	                          (ppm" min   )



N02 + hv -> NO + 0-                                 k*





0- + 09(+ M) -»• 0, (+ M)                            2.08  x 10~5
03 + NO -*• N02 + 02                                25.2





0- + N02 -> NO + 02                                1.34 x TO4





03 + N02 ->• N03 + 02                               5 x 10~2





N03 + NO -*- N02 + N02                              1.3 x 104





NO, + NO, + H50 - 2HNO,                           1.66 x 10"3t
  3     £.    c.        o




NO + N02 + H20 -»• 2HN02                            2.2 x lO"9*





HN09 + hv -»- NO + OH                               ki,jn
   c.           '                                    niilUo





N02 + OH- •*• HN03                                  9 x 103





NO + OH- -> HN02                                   9 x 103





CO + OH- •»• C02 + HO^                              2.06 -X 102





OLE + OH- 2 HCHO + CH^                          3.8 x TO4





PAR + OH- I CH30^ -i- H£0                           1.3 x 103



         0*                                    •         o

ARO + OH- 4 HCHO + CH30^                          8 x 10J





OLE + 0- -? HC(0}02- + CHjO^                      5.3 x TO3





PAR + 0- -S CH302 + OH-                           20



        20,

ARO + 0- -* HC(0)02 + CH30^                       37





OLE + 03 5 HC(0)0^ + HCHO + OH-                    0.01

-------
                                206
                      TABLE  IV-2  (Concluded)
            Reaction
  Rate Constant
  (ppm" min"  )
 ARO + 03 * HC(0)0/> + HCHO + OH-
 0.002
 OLE + 0, -*• ozonide

          20-
 HCHO + hv +* HC(0)02 +
 0.005
KHCHO -> radicals
HCHO +  hv -*- CO + H
HCHO + OH- $• HC(O)O£ +
      NO -*- OH- + N0
k:


1 x
                                                    HCHO -*- CO

                                                         ,4
2 x 10-
      -f NO -v N02 + HCHO +
HC{0)0^ + NO -*• N02 + C02 +
     + hv f OH- + OH-
2 x 10*
2 x 10*
              HSCOOH
HC(0)02- + H02 -*• HC(0)OOH
HC(0)02 + N02 -»- PAN


 PAN •* HC(0)02 +  N02
 ARO + N03 '•* PRODUCTS
4 x JO0


4 x 103


1 x 104


150


 0.02


 50


 20.
* Photolysis rate constants in units of min"1.
t Units of ppm" min" .

-------
                                   207
similarity in reactivities, aromatfcs are lumped with the slow (ethylene)
double bonds rather than with the fast double bonds.

     One of the goals in the development of the carbon-bond mechanism has
been a mechanism responsive to the range of analytical detail in field
measurements.  At one end of the range the only hydrocarbon data available
might be the total ppmC of hydrocarbons at one time.   At the other extreme,
the time dependence of many hydrocarbons may be known.  The carbon-bond
mechanism will accept these data and any others concerning the con-
centrations of double bonds, carbonyl groups, and aromatic rings.  These
data might be available through either spectral analysis or gas chromato-
graphy.  Thus, the carbon-bond mechanism is directly responsive to the
most basic measurement (nonmethane hydrocarbon), yet will accept data at
any level of sophistication.  The HSD mechanism requires a knowledge of
the average carbon numbers in addition to'overall concentrations.  Of'course,
using the new mechanism with minimum data requires making an assumption as
to the percentages of single, double, and carbonyl bonds.

     The present formulation and parameterization of the carbon-bond
mechanism has not been validated for complex hydrocarbon mixes in either
smog chambers or the actual atmosphere.  We-expect that-such an effort
will be  undertaken in the near future.  The actual guidelines for deter-
mining the proper rate parameter averages should  be part of the validation
effort.  We hope that validation efforts will confirm the= fundamental
theoretical foundation of the mechanism and that  the averaging pr
-------
                                   208

 a.   Single-Bonded  Carbon Atoms

     Paraffins apparently undergo the following oxidation reactions:

                          PAR + OH- -v R0£ + H20    ,                   (IV-D

                          R02 + NO + HO^ + ALD +  N02    ,             (IV-2)

                          HO^ + NO -* OH- + N02    .                   (1V-3)

 In  this  set of reactions, one hydroxyl radical reacts and is regenerated
 while  two nitric oxide molecules are converted to nitrogen dioxide  and
 th.e paraffin is converted into an aldehyde.

     From Greiner's  (1970) formula for calculating alkane-OH- rate  con-
 stants,  primary carbon atoms at 300°K have a reactivity of 290 ppm"  min"  ;
 secondary carbon atoms of normal alkanes have a reactivity of 1600  ppm" min"
 and tertiary carbons have a reactivity of 4200 ppm" min" .  The creation
 of  a side chain converts two secondary carbons into one primary carbon
 and one  tertiary carbon, for an .average reactivity of 2240 ppm" min   .
                                        •*" "»    .-**
 Table  IV-3 lists the reactivity per eSTlx>R atom for several common  alkanes.
 Many of  the alkanes—except propane-and those containing the tertiary-
 butyl  group—have reactivities within about 35 percent of 1300 ppmC" min   .
 The compounds with  tert-butyl groups may be present in Tow concentrations
 in  typical atmospheric mixes.  They were reported by Calvert (1976)  to be
 less than 8 percent of the alkanes in observations made during the  Los
Angeles Reactive Pollutant Program (LARPP).

 b.   Fast Double Bonds

     Olefin chemistry is represented by the following  reactions  (for
 ethylene):

                        OLE + 0 + HCO^  + CHgO^     ,                 (IV-4)

-------
                                  209

                       OLE  +  OH- + HCHO + CH^    ,                 (IV-5)

                        OLE + 0- -> HCH0 + HCOr +--OH-.  .               (IV-6)
Olefins are treated  with  greater  difficulty than paraffins.   The rate
constant for OH'  oxidation  differs greatly between ethylene  and the
longer chain olefins,  especially  the  internal olefins.  The  mechanism
is further complicated because  olefins  react with ozone to a significant
extent.
       TABLE IV-3.    REACTIVITIES  PER CARBON ATOM FOR SEVERAL ALKANES

                                             Reactivity
                        Alkane               (ppm"'min" )
                 Propane                         730
                 n-Butane                        950
                 i-Butane                       1250
                 n-Pentane                      1080
                 neo-PentaTre  ~                   '232
                 i-Pentane                      1340
                 n-Hexane                       1170
                 i-Hexane                       1380
                 2,3-Dimethy!-butane            1590
                 2,2-Dimethyl-butane             460
                 n-Heptane         N            1220
                 1-Heptane                      1410
                 2,3-Dimethylpentane            1590
                 n-Octane                       1280
                 i-Octane                       1440
                 2,3,4-Trimethylpentane          1760
                 n-Nonane                       1310
                 i-Nonane                       1460

-------
                                  210
      Per double bond, the reaction  rates  of  olefins with OH- jump from
 8000 ppm  min   for ethylene to  38,000 ppm"  min"  for propylene (Davis,
 1976) and stay constant within a factor of 2 for  longer olefins.  The "
 reactivity increases for 1-butene (to 4.3 x  10  ppm" min"  ) and for
 internal olefins such as cis-2-butene (6.3 x 10   ppm" min   ).  Table IV-4
 lists reactivities  in ppm" min"   for five olefins.  Because of the low
 variation in rate constants of olefins (except ethylene), we treat all
 olefins except ethylene as one lumped species in  the carbon-bond mechanism.
 In the near future  efforts will  be  made to develop methods for estimating
 "averaged" rate constants for olefin reactions.   Currently, we are using
 rate constants for  the specific  olefin in the simulation runs (see
 Section C-2).

       TABLE IV-4.   RATE CONSTANTS PER  DOUBLE BOND  FOR  THE REACTIONS
                    -OF SORE OLEFINS WITH  OH- AT  300°K
                                                    Rate Constant
                 Olefin	                       (ppm" min  )
           Ethylene                                   7.9 x  103
   *      Tk
           Propylene                              "— ^-3T?T x  10^
           1-Butene                                   4.3 x  10^
           cis-2-Butene                               6,3 x  104
           Tetramethyl ethylene                         8.4 x  104

     The olefin-03 reactions are more complicated than  the  olefin-OH-
reactions.   Table  III-3 shows rate constants for the  same olefin-0^
                                                                  tJ
reactions.   The propylene reaction with ozone is roughly seven times
faster than the ethylene reaction, and nonterminal olefins  such  as cis-2-
butene react even faster (terminal olefins such as isobutene have reac-
tion rate constants comparable to that of propylene).   Substituted
internal olefins, such as 2,3-dimethyl-2-butene, react  with ozone roughly
10  faster than does ethylene.

-------
                                   211
     Thus, we  are  confronted with  the  task of  devising  lumping parameters
 capable  of spanning  a  10   difference in  rate constants.  This task has
 not yet  been performed; it seems possible only if the slower 03~olefin
 reactions are  neglected.   In future work, we hope to incorporate the
 reactions of olefins with  NO;.  These  reactions are insignificant for
 smaller  olefins  (ethylene, propylene,  and 1-butene), but are fast for
 longer chain olefins (Japar et  al., 1975).  At present, we do not include
 this reaction  in the carbon-bond mechanism because little is known about
 the products of  this reaction.

 c.   Slow Double Bonds

     In  the  carbon-bond mechanism, the aromatic oxidation reactions pro-
~duce~the-same  products—as-^the  olefin oxidation reactions:
                          ARO + 0  ->  HC03 + CHgO^    ,          (IV-7)
                        ARO + OH'   +  HCHO + CH^    ,          (IV-8)

                         ARO-+ 03   -*  HCHO + HCO^ + OH-    .      (IV-9)
 In these equations, ARO represents one slow double bond;  thus,  the  toluene
 molecule equals three AftOs.   We have found that an aromatic ring  activated
 by the addition of an alkyl  group, such as toluene, can  be treated  by  the
 carbon-bond mechanism as three ethylenic double bonds  (olefins).  Thus,
 we treat ethylene and the aromatics together as one lumped species.  This
 lumping is used primarily because the oxidation rate of ethylene by OH-
 is closer to that of aromatics than to the other olefins.  In addition,
           *
 ethylene typically makes up 50 percent of the atmospheric olefins,  as com-
 pared to only 10 to 20 percent of the aromatics (on the  basis  of  total
 double bonds).

-------
                                  212
      One  question we  had to resolve was whether ozone-aromatic reactions
 similar to  ozone-O'lefin reactions should be included in the mechanism
 for toluene systems.  As the aromatic ring decomposes, it surely must
 lead to some olefin species which, of course, would react with ozone.
 We  have tentatively included ozone-olefin reactions for two reasons:

      >  The rate constant for the reaction of ethylene with ozone
        is  very slow.  It may be similar to the rate constant for
        the ozone-aromatic reaction, which has not been measured
        accurately but is known to be slow (Finlayson and Pitts,
        1976).
      >  We  wanted to  maintain the treatment of aromatic -bonds and
        ethylene together as one lumped species.

 We  hope that some ethylene/toluene smog chamber experiments can be
 carried out in the near future to provide a better test for the mechanism.

      The  choice of rate constant for the reaction of slow double bonds
 with oxygen atoms is  more difficult because the rate constants for aro-
 matics and  ethylene reacting with oxygen atoms differ greatly.  We did
 not use- ttre~ rate constant for the reaction of oxygen atoms with ethylene
 because that rate constant caused too high a radical concentration early
 in  a simulatiorrof a  toluene system.   We plan to develop a procedure for
 estimating  a rate constant in accordance with the relative amounts of
 aromatics and ethylene in the system being simulated.  This is not a
 great difficulty because the reactions of slow double bonds with oxygen
 atoms are not very important.   We did include a reaction between NO;, and
 aromatics to account  for the internal olefins that are formed as the
 aromatic rings open.   The rate constant of 50 ppm  min~  is adequate at
 present for most of the smog chamber runs to date.  It is faster than that
measured for the reaction of NO., with ethylene (1.4 ppnf «iin~ ) by Japar
 and Niki  (1975), but far slower than their value for the reaction with sub-
 stituted internal  olefins (5 x 10  pprrf min  ).  The inclusion of the reac-
 tion of NO*  with aromatics is partially justified by the observation that
 no N01 Is  formed in smog chamber simulations until some toluene has  reacted.

-------
                                   213
     As mentioned above, the aromatic ring is represented by three double
bonds (ethylene groups) in the carbon-bond mechanism.  Therefore, observed
aromatic concentrations in ppm are multiplied by three to give input
data for the mechanism.  Any alkyl groups or carbonyl groups on the
aromatics are considered separately.  For toluene, we use three times
the measured toluene concentration of slow double bonds and the toluene
concentration of single-bonded carbon atoms.

d.    Carbonyl Bonds

      The carbon-bond mechanism treats carbon-oxygen double bonds, whether
in ketones or aldehydes, as a single group.  We are currently using
                 4    -1   -1
a value of 1 x 10  ppm  min   for the aldehyde-OH- reaction rate.  This
                                   3    -1   -1
compares to an estimate of 9.8 x 10  ppm  min   as the lower limit of the
reaction rate (Herron and Penzhorn, 1969).  Our present value falls mid-
way between the value of 2.1 x 10  ppm" min"  measured by Morris and Niki
                                                           Oil
(1971) and the Volman and Gorse (1972) estimate of 5.6 x 10  ppm  min"
for the reaction of propionaldehyde-OH«.  Data on the rate constants of
larger aldehydes are sketchy, but seem to be in accord with our choice
of rate constant.

2.   Sources of Radicals in the Carbon-Bond^ Mechanism

     In computer simulations of smog chamber experiments, the initial
concentration of hydroxyl radicals is produced by photolysis of nitrous
acid:

                         HN02 + hv  -»•  OH- + NO      .               (IV-10)

The amounts of HN02 that give the best fits between predictions and
measurements are generally about one-third of the equilibrium concentration
of HN02 from the reaction

                    H20 + NO + N02  +  2HN02         .                (IV-11)

-------
                                   214
      Is only  an  initial  radical source because  its half-life due to
 photolysis  is about 15 minutes.

      Some radicals  can also come from oxygen atom attack on hydrocarbons:

                          0 + PAR  -v  RO^ + OH-   ,                   (IV-12)

                          0 + OLE  ->  R0  + RCO      .                (IV-13)
 This  reaction  is  slower  for paraffins, particularly  for butane,  than  it
 is  for  olefins  (Hampson  and Garvin, 1975).  Both of  these radical sources
 are used  in  the carbon-bond mechanism.

      The  third  source  of radicals in the mechanism is  the photolysis  of
 carbonyls:
                       RR'CO + hv  -*-  R0£ + RCO^      .                (IV-14)

Maintaining the  total concentration of radicals in the mechanism by
carbonyl photolysis  is necessary because of the numerous  temporary and
permanent radical  sinks.  For example, both nitrous .acid  and  hydrogen
peroxide are temporary radical sinks because they are formed  rapidly
via reactions that consume radicals:

                            OH- + NO  +  -H.NQ-2      ,                   (IV-15)
However, both species can reproduce radicals at  a  later  time  by photolysis.
The most important permanent radical sink in the UCR  smog  chamber experi-
ments on butane/NO  systems also appears to be the most  important sink
                  A
for oxides of nitrogen:

                           OH- + N02  ->  HON02     .                   (IV-17)

-------
                                  215
     Carbonyl photolysis is most important in maintaining the radical
concentration, but it is also the most complex to treat in the mechanism.
The complexity arises- from the three reaction pathways of carbonyls—
photolysis that produces radicals IReaction (IV-18)], photolysis that does
not produce radicals IReaction (IV-19)], and reaction with hydroxyl  radi-
cals IReactions (IV-20) and (IV-21 )], which leads to oxidation of the
carbonyl without net production of radicals:

                       RR'CO + hv  -»•  RO^ + R'CO^    ,               (IV-18)

                       RR'CO + hv  +  RR' + CO     ,                 (IV-19)
                       RCHO + OH-,  •*  H20 + RCO^   ,                 (IV-20)
                        0                    0
                       RCR  + OH-  *  H20 + RCRO^  .                 (IV-21)

The magnitude of radical production from carbonyl photolysis is a function
of the carbonyl concentration and the photolysis constant.   In the explicit
mechanism study we found that the principal carbonyl compound was MEK,  but
an important source of radicals was the photolysis of biacetyl (which pre-
sumably has a large photolysis constant).  In the UCR data, the actual
light spectrum was uncertain, as was the total  carbonyl  concentration
because of the considerable mass recovery problem.  Even if the explicit
mechanism and the light spectrum were known completely and  the mass recov-
ery were perfect, the photolysis constants would still be uncertain,
primarily because of the uncertainties in the quantum yield data.

     The relative importance of HNOp and carbonyl photolysis as sources
of radicals in the atmosphere has yet to be determined.  Available data--
ambient concentrations of the species, solar spectral data, quantum yields —
are insufficient to allow anything but the crudest estimates.  The selection
of initial conditions and photolysis rates for the initiation of the smog
formation process in computer simulations is arbitrary.

-------
                                  216
C.   SIMULATION RESULTS

     The use of this lumped mechanism to model  data on a single hydro-
carbon species presents a paradoxical situation.   Optimal performance for
a mixture of hydrocarbons may not be the best for certain specific hydro-
carbons taken one at a time.  However, this mechanism is based on the
explicit chemistry of specific hydrocarbons (except aromatics).  Thus,
the rate parameters used to optimize the present  mechanism results may
not be optimal for use in the atmosphere.

     The carbonyl photolysis constants used in the carbon-bond simulations
were derived from tire constants used in the corresponding explicit studies
using average values weighted according to the explicitly simulated
fraction of each carbonyl compound at the time of maximum total carbonyl
concentration.  The initial values of nitrous acid were in all cases
identical to the values used in the corresponding explicit studies.

1.   Butane/NO   Systems
        "' ""*Jn™"™"™~ J\  '"""'~

     Simulations of the  butane/NG  syst-em with the caH>cfs-bofKl mechanism
                                 -y\
are presented in Figures IV-1 through IV-17.  As discussed above,  paraffins
are the simplest species to generalize since the reactions involve only 0
atoms and OH- radicals.  In the factorial design set of  butane systems, the
simplest NO  data are in run EC-42;  these data are shown  in Figure IV-8.
           A
Essentially no ozone formed in this  experiment; thus, complications  from
species such as NO^ and  N205 that form late in the smog  reaction were mini-
mized.  The NO  crossover in EC-42 was reached just before the end of the
              J\
six-hour experiment.  The N0x/carbon ratio in this run was higher  than  in
any other run, thus exaggerating the radical-NO  sink effect.  Although the
                                               J\
carbon-bond mechanism does not follow the data for EC-42  closely,  it is no
worse than the explicit mechanism.   If the initial concentration of  nitrous
acid is raised to or above the equilibrium value of 0.03 ppm,  the  initial
slope of NO disappearance is too steep and then it flattens out.   If the main-
tenance source of radicals from carbonyl photolysis is  increased  by  using

-------
            217
 1M.M


ten* M
IM.«*    3M.M
     TIME miwran
         FIGURE IV-1
          FIGURE IV-2

-------
                         218
                                                     r

                                                p
	  »  p     p	r   P	_

 •      M.M     tM.M     1M.«*     20*. M     1M.M
                            ^TME tnuumn
                      FIGURE-IV-3

-------
   219
                                  0


                               •
       owcomuTiM KILE ncn» MM
FIGURE IV-4
          i  a *  i • n » a a
        *                  *  a

   ,  '                           *  "   ,
                                   «.•*     4**.M
FIGURE IV-5

-------
                       220
 r- MI
                                      r-
                                    -t
                                 T
cc-«i    .  •ram ni          CMCEHTIUTIM nuu r
                •   •         r
                          r
               » P  T  T
                    FIGURE IV-6

-------
                             221
•      H.«*      !••.••

     «c-«a    . mem
TIIB 
COTCCimuTIM KALI TtCmk
                          FIGURE  IV-7
                                2  • a   >
                    a   *
 »       •».«•      IM.M
                                  nm itimrat
                                  OMcnruTim «ou FICTM
                          FIGURE  IV-8

-------
                                222
         »- M
         • - ••
         » * M*
».!*»
        •   »                si                              •

                    .  '  '
*.M>      I         «        X             .        »

              *.  *    X        * »  X  X

           '   >

            *    X                          '  "  X
           a   »  »       x                «          x- x
               »-                  •                        x»

         .     *   .  .                  '               . '   *   x
                        *•    m         O
                           #  H       0
                              * II  0
                           m     0  V
                           o  o  •  * jr»  •
                        «0               * R  I
                    O  O .                   **•*•](***
                                                      III**
           M.M     IM.M     u».t»     »>.•*
                                   TIIK im«umn
                            FIGURE  IV-9
         r—ru
.•!*•
    •      M.M     IM.M     IU.M      M*.M
                                  • TIME cninrrm
                            FIGURE  IV-10

-------
                                 223
                                           0

                                      •
*"   *      M.M      !••.*•      !».••      *».••      3*».t»     Mt.M      «*•.••

                                    T11B lltiSUT£B>
                             FIGURE  IV-11
•••*•                "   .  •                                •    *     *
                          • •                    •             ...*
                                           •          *  *  *
    »       H.M      IM.M      IM.M      9M.M      9M.M      IM.M      «U.M
                                    •nm «                         •»•.••
                             FIGURE  IV-12

-------
                         224
         *.H    I«*.M
                      FIGURE IV-13
«.«•
                                     a  a  a
                               a  a          a • a
                       FIGURE IV-14

-------
                      225
•     M.M     IM.M     IM.M     »*.*• .    2H.M     M*.M     IU.M    4M.M

                          TIK I minimi
                    FIGURE IV-15
                                 •
                        * >       a it i i
                      *                 >
    1
   1
 • i
                           Tint imwinn
                     FIGURE IV-16

-------
   226
                            X



                        X
                   *


               x


          X
      X
                       r  r
                     -f
                 • tf


      r  r  '  ' '
      TIH

 r«
FIGURE  IV-17

-------
                                 227
                                                 o     -I
a photolysis constant larger than about 1.5 x 10   min  , a somewhat
better fit is obtained for EC-42.  However, a poorer fit is then obtained
for EC-45 because the aldehydes present initially in this run are pre-
dicted to produce radicals at too fast a rate.  Finally, if the rate of
the main radical and NO  sink [Reaction (IV-17)] is lowered, the total
                       A
NO  data cannot be followed.
  A

     Thus, the mechanism for oxidation of butane as presented in Table
IV-2 is not complete.  For many runs, one can achieve a reasonable fit
of predictions to measurements by using initial and maintenance sources
of radicals within the bounds of uncertainty of the various reaction
rates.  However, it is not yet possible to obtain a good fit to measure-
ments of systems in which the hydrocarbon/NO  ratio and the rate of
                                            A
hydrocarbon oxidation ar-@- low.

     The simulations of UCR's butane/NO  data (Figures IV-1 through
                                       A
IV-17) were performed assuming paraffins behave chemically as a methane
molecule.  Therefore, the input data for paraffins would be four times
the total butane concentration.  All the symbols R and R'  are represented
by the symbols CHj and H-, respectively.  Therefore, R0£ and R'COg are
written as CH^DX and HCOX.  Formaldehyde is the-representative carbonyl
in the carbon-bond mechanism.  The format4eji. of -peroxyacyl nitrates is
represented as peroxyformyl nitrate in the mechanism with a rate constant
estimated to fit UCRrs PAN {peroxyacetyl nitrate) data.  The single-bonded
carbon atom rate constant for the reaction with OH- was lowered to 1100
ppm   min   to account for butane having a particularly slow value.

2.   Propylene/NO.. Systems
                 /\

     The basic factorial design block of experiments for propylene, runs
EC-11 through EC-21, was simulated with the carbon-bond mechanism.  Many
of the features of the results are the same as those obtained using the
explicit mechanism, which is discussed in Chapter III.  EC-21 is similar

-------
                                  228
the butane run (EC-42) discussed -above,.  These low hydrocarbon to NO  ratio
                                                                    A

runs are also discussed in Chapter III.  The carbon-bond mechanism results


are presented in  Figures  IV-18 through IV-39.





3 .   Propyl ene/Butane/NO  Systems
                        A




     This series  of experiments performed at UCR combined high activity and


high hydrocarbon  concentrations.  Therefore, the reaction of OH- with N02,


which  is the main radical sink in the butane system, is not as important in


these  experiments.  Instead, radical-radical reactions are more important


as radical sinks:
                              H02
                        H02 + R0£ ->• Products
                                  ^-Products
We found that removing these reactions from the mechanism produced sub-


stantial differences between predictions and measurements.  In other


series of experiments, the removal of such reactions had little effect.


Other radical -radical reactions are:





                    R0£ + R0£ -»• ALD + ALD + HO^ + H0£





                  HCOg + HCO^ + C02 + C02 + HO' .+ HO^





                   HCO; + RO; -*• C00 -i- ALD + HO' + HO;
                      0     C.     £.           i     i




The use of such reactions in a large airshed model would cause considerable


computational problems in solving the steady-state equations  for  radical


concentrations (Reynolds, 1976).  We felt that the propylene/butane  experi-


ments would be most appropriate for testing whether these last three

-------
                       229
                              	           tM.M     SO*.**     44*.»


BO-ii    . •raoia «



                    FIGURE IV-18
                   *

                     a*
                         *

                            *
                               * •*-
                                       t
                                            a
  H.M     IM.M     IM.M  '   1M.M	   aM.W     M«.M     H«.M
                     FIGURE   v-i 9

-------
                          230
    T



     r
      T
       r
        r
         r

          T
           •r
            r

             r
             •
               r

               • r
                  F

                    r
•     M.M    IM.M     IM.M    SM.M
                           TIK immnBA
                       FIGURE IV-20
                                 r  r    r
                              r              r
                           T
                  T


                 T *
             r
            v
           r

          T

         T
        •
        r

      rr

     r
      M.M     IM.M     IM.M     >M.<*
                           n« iiin

    n-n    .  matt n*



                       FIGURE IV-21

-------
                          231
 a  v


a   «•
                        .    e
                           o
                         o
                        0   X
         • o
         » I
      i O   • I
                                                •    *
      M.M     IM.M     tU.«
    IC-li    . >r(CI
                        FIGURE IV-22
                     r
                      r
                     •  r
•     M.M     M*.W


    BO-M    . frtcin
                        FIGURE  IV-23

-------
                           232
       F « F F F F»F
                     F F
                   »r
                r r
»     M.M     U*.M


    co-ii    . snett*    ra
                        FIGURE  IV-24

-------
                              233
                   0
                  o •
                 •
         00* 0 B • 0 *
        co-it     . arccm o»
                             FIGURE  IV-25
        • - xn
        I - M
!.<*>
                •      •     O
     •        O  •       •     0
      I      0 *            •     •
       »                           •
        '  0 .
                                          •
            »                          .0
            »                                        •
             n                              .
                      «•»» » n _»«  »•»»•»» »«
                            FIGURE IV-26

-------
                  234
      F
          r
           r *
            r
             F
             r •
               r
                r
                  r
                   •L
                     F

                      • F
                         F
                        •  r
                              F
                             •  F
                                «  F
                                  •  • T
                                       •   F
                            	         • *  F« * r *  r
                 FIGURE  IY-27
                                           F


                                       F
                      • F
                    . r
                    F
               F F
             •IT
      F F-FFFFF
M.M     IH.M     1M.M     JM.M     2W.M     «M.M     U*.~M     tM.M
                      TIIB iniiiRm                            «•.«•
                  FIGURE  IV-28

-------
                         235
               »  • *  •       o
•       ,1»        t a  aa O
 *       **_       *        a a a
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             IM.M     IM.M     2W.M'
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                       FIGURE IV-29
    r
       r
        i
        r
          r
            r


                     IM.M     IM.M     Mft.*
                         .  TIME (HI HUTU*
                       FIGURE IV-30

-------
                         236
*.«•»
                no    ra
                         FIGURE  IV-31

-------
                    237
  M.M    IM.M     IM.M
                      Tin iftimnm.
                   FIGURE  IV-32
*
m
 a
                                            •11
un 11 I ra > *
  M.M    IM.M     IM.M    SM.M

                     . TUB minm
                   FIGURE IV-33

-------
                          238
                                    r • •  •
                                               r     . •
                                                   r       m
                                                       r   r
              IM.M     IH.M
                                 _

                            TUB munmn
            •ncin 
-------
                           239
                                       0

                                   •
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                          FIGURE IV-36
        I - «0
        a - M*
•-*».
          * *
         a
    *   a »
      a a*

   1
         M.M     IM.M     IM.M  *   aM.M
                               TIIB (HIjura)


         ai    . mcita M  MI
                           FIGURE  IV-37

-------
                        240
    r-m*
          T
           r  •
             r
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                     FIGURE IV-38
                                 r    r    »
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                         TI« innnn
                      FIGURE IV-39

-------
                                  241
reactions must be included in the kinetic mechanism.  We found that remov-
ing them had no noticeable effect on predictions.  They are not included
in the carbon-bond mechanism.  Figures IV-40 through IV-60 show the pre-
dictions and measurements for the propylene/butane series of experiments.

     One disturbing aspect of the carbon-bond mechanism simulations for
this set of experiments was that we had to lower the carbonyl photolysis
                  -4    -1
constant to 3 x 10   min   for radical production to produce the simula-
tions shown.  The calculated value from the explicit mechanisms was
        -4    -1
7.2 x 10   min  , yet the use of this value produced too many maintenance
radicals in the simulations.  During the coming year, we hope to elucidate
the reasons for this discrepancy.

4.   1-Butene/NO., Systems
     ""r~r""~1 r^"•" •"     A

     As discussed in Chapter III, three experiments using 1-butene performed
at UCR gave us an opportunity to check the olefin chemistry by extending
the propylene chemistry to 1-butene.  For the results shown in Figures
IV-61 through IV-69 using the carbon-bond mechanism, we "changed only the
                                                                   4    -1
OH reaction with double bonds to the value for 1-butene of 4.8 x 10  ppm
min"1.
5.   Toluene/NO  Systems
     ~          /\    ~~

     Since there is no explicit mechanism to account for the complete oxi-
dation of toluene carbon atoms, we did not have the explicit mechanism as
a basis for photolysis rates or initial nitrous acid values.  An overall
carbonyl photolysis constant of 2 x 10"  min"  was chosen to be consistent
with the low N02 photolysis of 0.16 min"  reported by  UCR and the  deteri-
oration of the solar simulator that we assumed for the EC-50 to EC-60
series.  For simplicity we did not include a carbonyl  photolysis to  stable
products.  The results are presented in Figures IV-70  through IV-92.

-------
                    242
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         o  •  z   a
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                                                x
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                      FIGURE  IV-40
• r
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         r
         r

                       FIGURE IV-41

-------
                               243
        T - ra

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                                                        '  r
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   	»   T *r rr

   t     W.M
                              FIGURE IV-42

-------
                               244
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                                    FIGURE  IV-43
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                                        •r
                                     FIGURE IV-44

-------
            245
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          FIGURE IV-45

-------
                      246
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                         FIGURE  IV-46
                     P
                      v
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                                                    • P» P» • P
                       ,-...
                          FIGURE IV-47

-------
              247
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one tea PJM        —
              F I SORE IV-48

-------
                     248
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                     FIGURE IV-49
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                     FIGURE IV-50

-------
                      249
    T
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                     FIGURE  IV-51

-------
                          250
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                          FIGURE  IV-53

-------
                  251
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                  FIGURE IV-54

-------
                             252
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                              FIGURE  IV-55
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                              FIGURE IV-56

-------
          253
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       FIGURE  IV-57

-------
                             254
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                           FIGURE  IV-58
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                           FIGURE  IV-59

-------
           255
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           FIGURE IV-60

-------
                     256

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-------
                   257
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                  FIGURE  IV-63

-------
                                  258
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                                 FIGURE  IV-64
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                                FIGURE  IV-65

-------
                     259
' - TUTU suiar MB MD PM
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                    FIGURE  IV-66

-------
                                      260
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                                   FIGURE  IV-67
          > - "IX


•.**>
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-------
                                261
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                            FIGURE IV-69

-------
                            262
I   • OO M O

I 000
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                            FIGURE IV-70
                11    •
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     BO-TT    .  craeiB ••
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                             FIGURE IV-71

-------
                    263
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rc-rr   . craem MM



                    FIGURE  IV-72

-------
                             264
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       ton   . mem n
                            FIGURE  IV-73
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a. ie>
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                         1M.M     *••.«•
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                            FIGURE IV-74

-------
ta-n    . trtcia ra
                    FIGURE IV-75

-------
                               266
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                                FIGURE  IV-76
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                   loo.oo      iw.o*      MO.OO      MO.OO
                                FIGURE IV-77

-------
             267
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            FIGURE IV-78
.  «rtrre»
             FIGURE IV-79

-------
                     268
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                   FIGURE  IV-80
                  FIGURE  IV-81

-------
                       269
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                        FIGURE  IV-82
                                  *
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                        FIGURE  IV-83

-------
                            270
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                              FIGURE  IV-84
                  *




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                               FIGURE IV-85

-------
1  271
FIGURE IV-86

-------
                        272
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                     FIGURE  IV-87
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                    FIGURE  IV-88

-------
                      273
      i      a

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                     FIGURE  IV-89
                                           •.*•     •**.*
                   FIGURE IV-90

-------
                          274
             a      x  x  a                    •
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                         FIGURE  IV-91
                                  o

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                           FIGURE IV-92

-------
                                  275
     The run EC-77, shown in Figures IV-70 and IV-71, had the lowest hydro-
carbon to N0x ratio, and'the inadequate*maintenance  radical problem shown
in the N0x curves is consistent with the discussion  in Chapter III on Runs
EC-21 and EC-42.  However,  the maintenance radicals  in many other runs
were numerous and tended to accelerate in production.  The runs with
high toluene concentrations, EC-82 and EC-83, showed this effect most
severely.  For Run EC-83 the mechanism was grossly inadequate, but the
initial hydrocarbon concentration for this run was nearly 40 ppmC and the
humidity was near zero.  Such extreme hydrocarbon concentrations at low
humidity will require  further study to elucidate these effects of hydro-
carbon and water.

     Comparison  of the simulations of EC Runs 80 and 81 with 84 and 85
reveals a curious finding.  These two pairs of runs  have similar toluene/
NO  concentrations, but the latter pair has somewhat higher NO to N0?
  /\                                                                 *->
initial values.  The mechanism can follow the ma-intenance radicals re-
quired in the former pair,  but too many radicals are simulated in the
latter.  Perhaps the light  source deteriorated between these two and
the carbonyl photolysis should be lower for the latter pair.  In the
other hydrocarbon systems,  we could check the lumped mechanism agaiJist
the corresponding explicit  mechanism.  Unfortunately, we do not yet
have an explicit toluene mechanism to help develop and validate the
carbon-bond mechanism  for aromatics.  Table IV-5 lists the initial
conditions for  the toluene  set..of experiments.

-------
                      276
TABLE IV-5.   INITIAL CONDITIONS FOR SIMULATIONS

             OF THE TOLUENE/NOV SYSTEMS
                              J\


                      (ppm)
EC Run
Number
77
78
79
80
81
82
83
84
85
86
NO
0.518
0.069
0.08
0.401
0.408
0.679
1.334
0.388
0.431
0.407
N02
0.059
0.032
0.02
0.095
0.094
0.337
0.674
0.081
0.093
"8,080
Toluene
0.276
0.228
0.976
1. 02
1.96
1.88
5.63
0.968
1.92
1;-092
HN02
O.Ol
0.005
O.OOl
0,006
0.003
O.OOl
0
0.001
0.001
o-

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                                   277
D.   DISCUSSION  OF THE  CARBON-BOND MECHANISM

     Summarizing the results of this chapter,  a  generalized kinetic
mechanism  based  on the  explicit mechanisms  discussed in Chapter III
has been proposed for future use in airshed models.  This generalized
kinetic mechanism separates carbon atoms  into  groups depending on
their  bonding.   The mechanism  is validated  for the simulation of
smog chamber data by explicit  mechanisms.   Intermediate and overall
species behavior are consistent with predictions made by the explicit
mechanisms.   Table IV-6 presents a comparison  of the observed and
simulated  one-hour-average ozone concentrations for the different sets
of UCR data.   Even though the  sets of experiments are not identical,
the individual  results  and the calculated standard deviations are
similar for  the  explicit and generalized mechanisms.

     The carbon-bond mechanism is still in  the developmental stage and
certain areas of the mechanism must be  investigated further.  One of
these  areas  is the handling of peroxyacyl radicals with more than one
carban.  These radicals generate shorter  chain alkylperoxy radicals
rather than  HOV radicals."The carbon-tond  mechantsm as "presented in
Table  IV-2 only  accounts for alley! radical  production fran single-
                   *            ,-,
bonded carbon atoms. Another  important requirement is a set of guide-
lines  for  determining the .best rate constants  to use forji mixture of
-hydrocarbons with substantially differenrtr-T'Sact'hnties.  The UCR data
available  in the contract period included only £ne, set of experiments
with a mixture of initial hydrocarbons, the propylene/butane set.  In
the near future  smog chamber data sets  using mixtures of olefins and
mixtures of  paraffins will be  used to establish  the needed averaging
guidelines.

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                                  278
       TABLE IV-6.  ONE-HOUR-AVERAGE OZONE CONCENTRATIONS MEASURED
                    AND SIMULATED WITH THE CARBON-BOND MECHANISM
         Maximum One-Hour-Average
EC Run
No.

11
13
16
17
18
21

39
41
42
43
44
45
48

97
99
106
113
114
115
116
Measured

0.23'
0.37
0.50
0.14
0.18
0.006

0.056
0.21
0.0042
0.113
0.011
0.12
0.14

0.56
0.55
0.55
0.342
0.73
0.58
0.72
Simulated Difference Comments
(a) Propylene/NO Systems
A
0.26 13
0.38 2.7
0 43 ,. Average = 2.32%
Standard deviation = 11.2%
0.14 1.2
0.21 16
0.006 -5
(b) Butarve/N0v Systems
A
0.041 -26.8
0.24 14.3
0.005 19.1
0.063 -44 Jr^V0'28*
Standard deviation = 2%
0.027 145
0.12 0
0.19 35.7
(c) Propylene/Butane/NO Systems
A
0.57 1.8
0.58 5.5
0.61 10.9
0 got _4 7 Average = 0.834%
Standard deviation = 10.1%
0.75 2.74
0.63 8.6
0.58 -19

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                                   279
                        TABLE IV-6.  (Concluded)
EC Run
 No.
 122
 123
 124
         Maximum One-Hour-Average
         Ozone Concentration (ppm)
Measured

0.216
0.48
0.21
Simulated
(d) 1-Buti
0.16
0.47
0.27
 Percent
Difference
                                        )v Systems
                                        A
   -25.9
    -2.1
    28.6
         Comments
Average =0.2%
Standard deviation = 27.3%

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                                   280
                        V   GENERAL DISCUSSION
     In the previous chapters we described the details  of the explicit
and condensed kinetic mechanisms and presented simulations of some smog
chamber experiments at the University of California  at  Riverside.   In
this chapter we present a general discussion of the  following items:

     >  The perception of smog chemistry on which the mechanisms
        are based.
     >  Some important assumptions "about experimental conditions
        common to all simulations.
     >  How well the simulations with the explicit and  con-
        densed mechanisms reproduce the measurements.
     >  A summary of recommendations for future experimental
        studies.

     The overall perception of smog format ion that is lire basis of our
present mechanisms can be described in terms of t-wo  cyclic merles  of
reactions.  One series is the oxygen atom series; it is associated with
the photolysis of N02 and the production of ozone.  The other is the
peroxy-oxyl series.  In this series of reactions hydrocarbons are  oxygenated
and NO is converted to N02>

     In the oxygen atom series N02 photolyzes to give NO and an oxygen
atom, which immediately combines with an oxygen molecule to form 0-.  Oo
completes the cyclic series by reacting with NO to regenerate N02:

                         N02 + hv -»- NO + 0    ,                      (V-l)
                           0 4- 02   03    ,                          (V-2)

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                                   281
                        03 + NO •*• N02 + 02     .                      (V-3)

The cycle time is inversely proportional to the  light flux and the NO
concentration ([NO] + [N02]).  This cycle time is typically short enough
that the ozone concentration is approximated by  a steady-state relationship:
                                    i
                                               '                      {V'4)
Since the ozone concentration is nearly proportional to the ratio of
[N02] to [NO], an increase in the ozone concentration can be related to
the conversion of NO to N02.  An important feature of the oxygen atom
series of reactions is that by itself it does not change the ratio [NOp]
to [NO].  Thus an independent mechanism that changes the ratio of [NO/,]
to [NO] will indirectly control the ozone concentration.

     The second cyclic series, the peroxy-oxyl series, is associated with
a pool of chemical species having unpaired electrons.  In this series NO
is converted to N02 and hydrocarbons are oxidized.  The unpaired electrons
are passed frora.peroxy radical s'tb oxyl radicals and vice versa.  Normally
the start of this series is the "rate-control! ing reaction of ••hydrbxyl
radicals and hydrocarbons:

                            OH- + tiC •*• R-    .                       (V-5)

The unpaired electron appears on the resulting R', which rapidly picks up
an oxygen molecule to form a peroxy radical, RO^:

                           R. + 02 5 R02'     .                        (V-6)

Typically, the next reaction in the series converts NO to N02 and transfers
the electron to an oxyl radical, RO-:

                       RO^ + NO ->• RO. + N02     .                     (V-7)

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                                   282
 Then a hydrogen  abstraction  by molecular  oxygen  passes the unpaired
 electron to a  hydroperoxyl radical,  HO^.   The  rest of the RO- radical
 typically forms  a  carbonyl compound,  OHC.

                          RO- + 02 -»•  OHC + HO^     ,                   (V-8)

 Finally, the unpaired  electron is returned to  a  hydroxyl radical  by a
 second NO to N0£ conversion:

                         H0£  +  NO t- OH- +  N02     .                    (V-9)

 Although this  description is very simplified,  these two cyclic series
 contain the essential  features of ozone formation.  The two series are
 partially connected  by the reactions  of oxygen atoms with hydrocarbons,
 the reactions  of ozone with  olefins,  and  a few others.  This smog mecfianism
 depends on the formation  and maintenance  of a  pool of unpaired electrons.
 A portion of this  pool  is formed and  maintained  by the reactions of
 oxygen atoms and ozone that  link the  two  cyclic  series:

                          0 + HC + R.  + OH-    ,                     (V-10)

                                       0
                          0 + HC -> R.  + R.    ,               "      (V-ll)

                        03 + OLE -v R.  + OH-    .                     (V-12)

 In  computer  simulations,  however, these reactions alone do not form enough
 radicals  to  reproduce  the measurements.   The initial rates of hydrocarbon
 disappearance and conversion of NO to NOo  observed in smog chambers
 indicate  that the pool  of unpaired electrons involved in the peroxy-oxyl
 series  is formed very  rapidly.

     We resolved this difficulty by making an assumption that is common
to all simulations discussed in this  report—that some nitrous acid is
present at the start of each smog chamber  experiment.  In the simulations,

-------
                                  283
the nitrous acid is rapidly depleted  by photolysis, which produces NO
and hydroxyl radicals.  The concentration  of  nitrous acid required to
simulate UCR experiments is generally about one-third of the equilibrium
concentration that would form eventually from the initial concentrations
of NO, N02, and H20.  Nitrous acid  is known to form during the loading of
large vessels (Chan et al., 1976),  but whether it is present in the amounts
we have assumed is unknown.  The amounts of nitrous acid required to
simulate the propylene/NOY, butane/NO.  l-butene/NOv, and toluene/NO
                         A            X            X                X
systems are consistent.

     Another important assumption in  all simulations involves the spectral
distribution of the light source.   The primary maintenance source of
radicals for the peroxy-oxyl series,  the photolysis of carbonyls, is very
sensitive to the intensity of short wavelength UV.  The nitrogen dioxide
photolysis rate reported by UCR depends  on the intensity of long wave-
length UV.  This rate was formerly  used  to adjust the rates of all
photolysis reactions to account for variations in light intensity.  However,
the light source in the UCR chamber is known  to deteriorate, and the deter-
ioration is most rapid at short wavelengths.  Thus, we chose a spectral
distribution for each simulation that "was consistent witli tHe'lfge of the
light source used in the corresponding experiment.  The r-angfe -Qf spectral
distributions used for all simulations was chosen to gtve the J?est overall
fit for all the simulations and still  be consistent with th^ range of
spectral distribution measurements.

     The objective of these assumptions, and  of the entire contract, is
to produce simulations based on scientific knowledge that also fit the
measurements.  How well this objective was achieved can best be seen by
examining the many figures in this  report  that show UCR measurements and
our simulations.  The overall fit for most species is good.  A notable
exception is NO .  In most simulations the fit between predicted and
               J\
measured NO  concentrations is poor,  even  though the conversion of NO to
N00 is correctly simulated.  The poor fit  is  usually seen as an

-------
                                   284
 overprediction of the N09 concentration.  It could be caused by NOV
                        C~                                         A
 losses  in the UCR smog chamber, the absence or incorrect treatment of
 some  important aspect of the chemistry in the mechanisms, or both.
 Nitrogen compounds measured at UCR include N02> NO, PAN, and alkyl
 nitrates.   In every UCR experiment the sum of the concentrations of these
 compounds,  after correction for dilution, decreased during the experiment.
 A similar but smaller decrease occurs in the corresponding simulation,
 primarily because of the formation of nitric acid.  Nitric acid is not
 routinely measured at UCR, but has been reported in smog chambers in
 amounts consistent with our simulations by Spicer and Miller (1976).
 Modifications to the mechanisms designed to improve the fit to the UCR
 nitrogen data by forming more nitric acid have been unsatisfactory; they
 quantitatively remove radicals from the peroxy-oxyl pool and thus degrade
 the overall fit.

      Some indication of the validity of,the mechanisms presented in this
 report for  ozone prediction is provided by Figures V-l, V-2, and V-3.
 Figures V-l and V-2 show the absolute and percentage differences between
 predicted and measured maximum one-hour-average ozone concentrations for
 the-explicit and carbon-bond mechanisms, respectively.  All UCR systems
 except toluene/NO  are included.  These figures show that the average
 absolute difference and the average percentage difference are small and
 positive.  The indicated positive bias is not statistically significant
 for two reasons:  the number of experiments is small, and the standard
 deviation is much larger than average difference.

     As discussed in Chapter IV, the carbon-bond mechanism was designed
as a condensation of the explicit mechanisms.  Thus its validity is
determined not by how well it reproduces smog chamber data but by how
well it reproduces the simulations with the explicit mechanisms.  Figure
V-3 shows the absolute and percentage differences between the maximum
one-hour-average ozone concentrations predicted by the carbon-bond mecha-
nism and those predicted by the explicit mechanisms.  Again, toluene/NO
                                                                       r\
systems are not included.   The small differences and standard deviations
in Figure V-3 demonstrate that the carbon-bond mechanism does retain

-------
                             285
I V
9
8
7
tn
fti
Q) £
i- **
u
° 5
o
L
Z
3
2
1
0

-


_

-


-
-

, ,[~T,












AVERAGE DIFFERENCE - +4.7*











•^M






































STANDARD DEVIATION = 20%

1 	 1 1 	 1

I 1 I 1
   -50   -40   -30   -20
-10    0    10    20
 Difference (percent)
                                               30
          40
50
                                                               60
FIGURE  V-la.  PERCENTAGE  DIFFERENCES BETWEEN PREDICTIONS OF
               EXPLICIT MECHANISMS AND  MEASUREMENTS  OF MAXIMUM
               ONE-HOUR-AVERAGE OZONE CONCENTRATIONS
   10


   9

   8
 o
 o
 14
         JL
DIFFERENCE » +0.015 ppm
                                      STANDARD DEVIATION = 0.053 ppm
                                                          J_
   -0.10  -0.08  -0.06  -0.04  -0.02   0   0.02  0.04   0.06  0.08   0.10
                            Difference (ppra)

FIGURE  V-lb.   DIFFERENCES BETWEEN  PREDICTIONS  OF EXPLICIT
                MECHANISMS  AND MEASUREMENTS OF MAXIMUM ONE-HOUR-
                AVERAGE OZONE CONCENTRATIONS

-------
                             286
IU
9
8
7
/
O
g 6
fc
•3
U
o 5
<*-
o

1 4
E
i
3
2
1
n

-
-


_


,,


-


-

" ,n. ,
-60 -50 -40 -30

































i
-20



















(AVERAGE DIFFERENCE « +0.85S













I
-^—




A
|l



































»• STANDARD DFVIATTON
^^ W 1 Wv\vr\t\tJ L/W f JLrl 1 JhWll
= 271





1 1 l
-10 0 10 20 30 40 SI
                            Difference (percent)


 FIGURE V.-2au   PERCENTAGE DIFFERENCES BETWEEN CARBON-BOND MECHANISM
                PREDICTIONS AND MEASUREMENTS OF  MAXIMUM ONE-HOUR-
                AVERAGE OZONE CONCENTRATIONS
      10

      a

      8
    | 4
        n,
                                  i
                                       i
                                             .AVERAGE DIFFERENCE
                                             I 0.0011 ppm
                                                  STANDARD DEVIATION
                                                  0.047 ppm
     -0.14  -0.12 -0.10  -0.08  -0.06   -0.04  -0.02

                              Difference (ppm)
0.02  0.04   0.06   0.08
FIGURE  V-2b.  DIFFERENCES BETWEEN PREDICTIONS OF CARBON-BOND
               MECHANISM AND MEASUREMENTS OF  MAXIMUM ONE-HOUR
               AVERAGE OZONE CONCENTRATIONS

-------
                             287
     -60  -50    -40
-20   -10    0     10


 Difference (percent)
                                             20
                                                30
40
                                                            50
FIGURE  V-3ffv  PERCENT DIFFERENCES  BETWEEN  THE MAXIMUM ONE-HOUR-

               AVERAGE OZONE CONCENTRATIONS PREDICTED BY THE

               CARBON-BOND MECHANISM AND BY THE EXPLICIT MECHANISMS
   20




   18



   16



   14
tft

-------
                                  288
 the significant features of the explicit mechanisms even though it
 requires only lt)-20 percent as much computing time.

     Throughout this report we have made suggestions regarding future
 smog chamber experiments.  These suggestions are summarized below:

     >  Light intensity measurements should be more detailed.
     >  Experiments with slowly reacting hydrocarbons (e.g.
        butane) should be carried out for more than the usual
        six-hour period.
     >  More experiments using hydrocarbon mixtures should be
        performed to aid in the validation of generalized
        mechanisms.
     >  More detailed product measurements are needed for the
        paraffin/NO  and aromatic/NO  systems so that a mass
                   /\                x\
        balance for carbon can be approached.
     >  More consistent carbonyl data are needed in the
        propylene/NO  experiments.  UCR runs EC-13, 51, 52, 57,
                    J\
        95, 96, and 121 are propylene/NO  experiments with the
                                        A
        same initial conditions, but t^he formaldehyde and
        acetaldehyde concentrations and their ratios in these
        runs varied widely.
     >  More detailed measurements of rritrogen compounds are
                                             \
        needed in all experiments.
     >  Experiments on aldehyde/N.Ov systems are needed.
                                  A>

As discussed in Chapter III and above, the light source in the UCR
chamber is known to deteriorate, resulting in lower photolysis rate
constants.  The light intensity changes mainly between 300 and 340 nm,
which is the part of the spectrum that photolyzes aldehydes.  Therefore
detailed intensity measurements in this part of the spectrum are  very
important.

     As discussed in Chapter III, the ozone concentration did not reach
a peak in any of the butane runs.  There is also a large carbon atom loss

-------
                                  289
in these runs.  Longer experiments with such hydrocarbons are required
to elucidate the chemistry.  As longer chain hydrocarbons (with more than
four carbon atoms in the skeleton) are investigated, more detailed obser-
vations of products are desirable.  Product measurements in aromatic/NOv
                                                                       A
systems at UCR are extremely sparse; in addition, the percent carbon
recovery is too low to validate an explicit mechanism.  More of the carbon
atoms in the initial hydrocarbons must be accounted for in order to
improve explicit kinetic mechanisms for aromatics.  Also, a consistent
set of data is required for validation of kinetic mechanisms.  In the
propylene/NO  system, the early runs (EC-5 to EC-21) show equal maximum
            A
concentrations of formaldehyde and acetaldehyde, but later runs (EC-95,
96, and 121) show much more formaldehyde than acetaldehyde.  Inconsisten-
cies of this nature must be resolved if correct reaction pathways are to
be established.  Experiments should be performed with simple mixtures of
similar hydrocarbons.  Such experiments, even without detailed product
analyses, will assist in the development of the condensed mechanism because
average rate constants must be derived to account for mixtures of similar
hydrocarbons.

     The chemistry of inorganics, aldehydes, arnd PAN is common to all
smog mechanisms.  It is difficult to evaluate this chemistry in current
mechanisms because all recent smog chamber experiments are complicated
by the numerous chemical species resulting from the oxidation of hydrocar-
bons.  The uncertainties in simulating this chemistry may be reduced most
easily by modeling smog chamber experiments on very simple systems.
Experiments with formaldehyde/NOx systems would be useful in verifying
the basic inorganic and formaldehyde chemistry.  Such experiments would
not involve hydrocarbon or PAN chemistry.  Experiments with acetaldehyde/
NO  would add only PAN chemistry to this basic set.  The round of mechanism
development just completed proceeded from parameterized mechanisms to
explicit mechanisms.  The next round of mechanism development will involve
reducing uncertainties in individual chemical reactions.  We recommend
that experiments be performed on very simple systems in the most advanced
chambers so that some of the basic chemical reactions in smog may  be
studied with as few complications as possible.

-------
                                 290
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                                 291
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                                 292
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                                 293
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Hecht, T. A.,  J. H. Seinfeld, and M. C.  Dodge (1974a),  "Further Develop-
     ment of a Generalized Kinetic  Mechanism  for Photochemical Smog,"
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Hecht, T. A.,  M. K. Liu, and D. C.  Whitney (1974b),  "Mathematical  Simu-
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     Systems Applications, Incorporated, San  Rafael, California.

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     No. 76, p. 23.

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     the Reactions of Atomic Oxygen with Ethylene and  Formaldehyde,"
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Japar, S. M.,  and H. Niki (1975), "Gas-Phase  Reactions  of the  Nitrate
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     pp. 1629-1632.

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,  No. 23, pp. 2318-2320.

Johnston, H. S., and R. Graham (1973), "Gas Phase Ultraviolet  Absorp-
     tion Spectrum of Nitric Acid Vapor,"  J.  Phys.  Chem., Vol. 77,
     pp. 62-63.

Lloyd, A. C. (1974),  "Evaluated and Estimated Kinetic  Data  for Gas Phase
     Reactions of the Hydroperoxyl  Radical,"  Int. J.  Chem.  Kinetics,
     Vol. 6, pp. 169-228.

Lloyd, A. C., et al.  (1976),  "Relative Rate Constants  for Reactions of
     the Hydroxyl Radical with a Series of Alkanes, Alkenes, and
     Aromatic Hydrocarbons,"  J. Phys.  Chem.,  Vol. 80,  No. 8,
     pp. 789-794.

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     Radicals," Stanford Research Institute,  Menlo Park, California.

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    • Pressure Pyrolysis (VLPP) of n-Propyl titrate, tert-Butyl Nitrite,
     and Methyl Nitrite.  Rate Constants for Some Alkoxy Radical  Reac-
     tions," lnt^_jL_J&&t±J{Ane^., Vol. 7, pp. 725-737.

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                                 294
Mill, T., and G. Montorsi (1973), "The Liquid-Phase Oxidation of
     2,4-Dimethylpentane," Int. J. Chem. Kinetics, Vol. 5, pp. 119-136.

Morris, E.  D., Jr., and H. Niki (1971), "Mass Spectrometric Study of the
     Reaction of Hydroxyl Radical with Formaldehyde," J. Chem. Phys.,
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                                 295
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                                    TECHNICAL REPORT DATA
                             (Please read Instructions on the reverse before completing)
  1. REPORT NO.
   EPA-600/3-77-011
  2.
                                3. RECIPIENT'S ACCESSIOf*NO.
  4. TITLE A\D SUBTITLE
   MATHEMATICAL MODELING OF
    SMOG
SIMULATED PHOTOCHEMICAL
5. REPORT DATE
  January 1977
                                6. PERFORMING ORGANIZATION CODE
  7. AUTHCRtSI
   G. Z. Whitten  and  H.  H.  Hugo
                                8. PERFORMING ORGANIZATION REPORT NO.
 9. PERFORMING ORG "^NIZATION NAME AND ADDRESS
   Systems Applications,  Inc.
   950 Northgate  Drive
   San Rafael,  California  94903
                                10. PROGRAM ELEMENT NO.

                                -1AA603 (1AA008)
                                11. CONTRACT/GRANT NO.
                                 Contract No. 68-02-0580
  12. SPONSORIN'G AGENCY NAME AND ADDRESS
   Environmental  Sciences Research Laboratory
   Office of Research and Development
   U.S. Environmental Protection Agency
   Research  Triangle Park, NC  27711
                                14. SPONSORING AGENCY CODE

                                 EPA-ORD
  15. SUPPLEMENTARY NOTES
  16. ABSTRACT
        This  report  deals with the continuing  effort  to develop a chemical kinetic
   •mechanism  to  describe the formation of photochemical smog.   Using the technique
   of computer modeling to simulate-smog chamber  data,  several explicit kinetic
   mechanisms for  specific hydrocarbons were analyzed and a generalized kinetic
   mechanism  was proposed for use in dynamic urban  airshed models.  Computer  sim-
   ulations of propylene/NO" , butane/NO , l-bu£ene./NO , and propylene/butane/NOx
   systems were  performed to simulate tne smog chamber data collected by the
   University of California, Riverside.  The general  kinetic mechanism, which is
   based on the  carbon bonding found in the hydrocarbon system, 'is-described.
   Simulations using this new carbon-bond mechanism were also compared with the
   smog chamber  data on the propylene/'NO , butane/NO  ,•-propytene/butane/NQ  ,  and
   toluene/NO systems.  The usefulness and validity  of the computer modeling is
   also discussed  relative to the current understanding of the -
   process.
 17.
                                 KEY WORDS AND DOCUMENT ANALYSIS
                   DESCRIPTORS
                                               b.IDENTIFIERS/OPEN ENDED TERMS
                                                                             COSATl Field/Group
      Air pollution
      Reaction kinetics
      Photochemical  reactions
      Test chambers
      Mathematical models
      Computerized simulation
                                                13B
                                                07D
                                                07E
                                                14B
                                                12A
                                                09B
   RELEASE TO PUBLIC
                  19. SECURITY CLASS (This Report)
                     UNCLASSIFIED
              21. NO. OF PAGES
                306
                                               JO. SECURITY CLASS (This page)

                                                  UNCLASSIFIED
                                             22. PRICE
EPA Form 2220-1 (9-73)
                                                296

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