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E 0.33
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I 0.11
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50 100
150 200 250
TIME, minutes
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300 350 400
0.12r
E 0.09 '-
Q.
Q.
0.06 -
8 0-03
°"0°
-*-*
50
100 150 200 250 300 350 400
TIME, minutes
(b) N02 and NO
Figure 41. Simulation results of a UCR propylene/butane experiment (EC-113)
for propylene, 0.,, N02, and NO
150
-------
2.
E 2.10
Q.
Q.
1.60
1.50
1.20
50 100 150 200 250
TIME, minutes
(a) Butane
300
350
400
o.osr
IK *
0.00.
50
100
150 200 250
TIME, minutes
(b) PAN
300
350
400
Figure 42. Simulation results of a UCR propylene/butane experiment
(EC-113) for butane and PAN
151
-------
LU
0
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0.16
0.12
0.06
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50 100
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150 200 250
TIME, minutes
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300 350 400
o.ooeor
0.0045
0.0030
0.0015
0.0000
X X
* X
300 350 400
50 100 150 200 250
TIME, minutes
(b) Propionaldehyde
Figure 43. Simulation results of a UCR propylene/butane experiment
(EC-113) for acetaldehyde and propionaldehyde
152
-------
i.oor
0.75
ct 0.50
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0.25
0.00
0 50
100 ISO ZOO 250 300 350
TIME, minutes
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CL
Q.
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I 0.25
0.00
300 350 400
0 50 100 150 200 250
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Figure 44. Simulation results of a UCR propylene/butane experiment
(EC-119) for N02, NO, 03, and propylene
153
-------
4.00
3.50
3.00
o
§ 2.50
2.00
I \_
50 100
150 200 250
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300 350 400
0.32r
0.24
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o
O 0.08
o
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Figure 45.
50 100 ISO ZOO 250 300 350 400
TIME, minutes
(b) PAN
Simulation results of a UCR propylene/butane experiment
(EC-114) for butane and PAN
154
-------
Q.
Q.
o.BOr
0.45
0.30
8 0-15
0.00
50 100 150 200 250
TIME, minutes
(a) MEK and formaldehyde
300 350 400
O.BOr
0.45
0.30
8
0.00
300 350 400
50 100 150 200 250
TIME, minutes
(b) Acetaldehyde
Figure 46. Simulation results of a UCR propylene/butane experiment (EC-114)
for methylethylketone, formaldehyde, and acetaldehyde
155
-------
o.oiep
0.012
0.008
O 0.004
0.0005
50 100
150 200 250
TIME, minutes
(a) Propionaldehyde
300 350 400
o.oioor
E 0.0075
Q-
Q.
0.0050
o:
O
8 0.0025
o.oooo*
50 100
150 200 250
TIME, minutes
300 350 400
(b) n-Butyl nitrate and butyraldehyde
Figure 47. Simulation results of a UCR propylene/butane experiment (EC-114)
for propionaldehyde, n-butyl nitrate, and butyraldehyde
156
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and the measured and simulated NOp and 0, maxima are given in Table 27.
A sample simulation result is shown in Figure 48 for EC-145.
The Propylene/Trans-2-Butene Simulation
Only one propylene/trans-2-butene experiment was performed at UCR.
The initial conditions for this experiment and the photolysis rate con-
stants for the computer simulations are presented in Table 28, and the
measured and simulated 03 in Table 29. The kinetic mechanism used in the
computer simulation is a combination of the individual propylene and trans-
2-butene mechanisms. Figure 49 shows the simulation results. Since the
major product from trans-2-butene is acetaldehyde, the simulation becomes
an acetaldehyde/propylene situation shortly after the start. The results
are very similar in appearance to those for the simulation of the propylene
experiment with added acetaldehyde (EC-217). The computer simulations show
that radicals generated in the current mechanism can account for the con-
sumption of either acetaldehyde or propylene in EC-217, but not both.
The competition for OH- radicals in simulations of EC-217 occurs
mainly between three reactions:
CO + OH- -4 H02 + C02 k = 4.4 x 102 ppm^min"1 , (71)
CH3CH=CH2 + OH- —»• Radical k = 4.2 x 104 ppm^min"1 , (72)
CH3CHO + OH- -+ CH3C(0)0^ + H20 k = 2.4 x 104 ppm'^in"1 . (73)
This competition implies several possible causes of the apparent lack of
radicals. First, the propylene + OH- reaction may have a rate constant
faster than the currently accepted value. Second, propylene may react with
radicals other than OH-; for example, some RO- may react with propylene later
in the simulation period. Third, the simulated propylene decay may be
correct and the measurements wrong. Because of the low initial propylene
concentration (0.08 ppm) in EC-217, the measurements of propylene may not
158
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1.20
E 0.90
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Figure 48. Simulation results of a UCR ethylene/propylene experiment
(EC-145)
161
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(d) Formaldehyde
Figure 48 (Continued)
162
300 350 400
-------
0.24
E 0.18
Q.
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o
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0.00
50 100 150 200 250
TIME, minutes
(e) Acetaldehyde and PAN
300 350 400
o.oosr
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0.000
50 100
150 200 250 300
TIME, minutes
(f) Propionaldehyde and methyl nitrate
Figure 48 (Concluded)
350 400
163
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300 350 400
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TIME, minutes
(b) N02 and NO
Figure 49. Simulation results of a UCR propylene/trans-2-butene
experiment CEC-149)
164
-------
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(d) PAN
Figure 49 (Continued)
300 350 400
165
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Figure 49 (Continued)
166
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(g) Methyl nitrate
Figure 49 (Concluded)
300 350 400
167
-------
be as accurate as measurements made in more typical runs (usually with pro-
pylene concentrations between 0.5 and 1.0 ppm). Fourth, the currently
accepted value of Reaction (73) may be too fast, or the photolysis rate
constant for acetaldehyde may be too low. The overall decay of acetalde-
hyde may be predicted correctly by adjusting the balance between the photo-
lysis reactions and Reaction (73). If the photolysis reaction is faster
and Reaction (73) is slower, we may still be able to follow the acetalde-
hyde decay and increase the radical concentration enough to simulate the
propylene decay accurately. More detailed studies will be performed in
the coming year to elucidate the possible effects of the causes discussed
above.
Results of the Simulations of Multiolefin Systems
Five experiments were performed at UCR using different mixtures of the
olefins ethylene, propylene, 1-butene, and trans-2-butene. The simulations
of the ethylene/propylene and propylene/trans-2-butene experiments dis-
cussed earlier show that combining the individual explicit mechanisms is
currently a sound method for simulating multiple hydrocarbon systems. The
cumulation of the individual mechanisms leads to a four-olefin mechanism
containing 140 reactions with 61 species. The initial conditions and
photolysis rate constants used in the computer simulations are presented
in Table 30. Simulated maximum one-hour-average l^ and 0-j concentrations
are presented in Table 31. Figures 50 through 54 show the simulation results
of the multiple-olefin systems.
The results of simulating EC-151 show a major overprediction of 03
throughout the simulation [Figure 51 (a)]. This run had an unusually high
initial concentration of NOV (2 ppm compared with 1 ppm in the other runs).
J\
In all of the simulations, the simulated 0., induction period is slightly
short, even though the time to N0-N02 crossover is simulated accurately.
More work will be needed in the coming year to refine the predictions of
the explicit multiolefin mechanism.
168
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169
-------
i.oor
°-75
o.so
S 0.25
0.00
50
100 150 200 250 300 350
TIME, minutes
(a) N02, NO, and 03
400
0.18
0.12
S 0.08
0.00
SO 100 ISO 200 250 300 350 400
TIME, minutes
(b) Acetaldehyde, PAN, and propylene
Figure 50. Simulation results of a UCR multiolefin experiment (EC-150)
170
-------
Q.
O.
O
^Z.
O
0.90
0.60
0.30
0.00 j
o.ioor
0.000
_L
_L
50 100
150
TIME, minutes
200 250 300 350 400
(c) Formaldehyde and ethylene
50 100
150 ZOO 250
TIME, minutes
300 350 400
(d) Trans-2-butene and 1-butene
Figure 50 (Continued)
171
-------
o.osor
0.045
0.030
o
z
8 0.015
0.000
50 100 150 ZOO 250 300
TIME, minutes
(e) Propionaldehyde and PPN
350 400
0.004
0.003
O.OOZ
8 o.ooi
0.000
50
150 200 250
TIME, minutes
300 350 400
(f) Methyl nitrate and butyraldehyde
Figure 50 (Concluded)
172
-------
E 0.30
D.
a.
O
0.20
o
z
8 o.io
0.00
X X
* * *
X *
J I
50 100
ISO 200 250
TIME, minutes
(a) 0,
300 350 400
1.60
E 1.20
Q.
Q.
0.80
3 0.40
0.00
50 100 150 200 250 300 350 400
TIME, minutes
(b) Ethylene, N02 and NO
Figure 51. Simulation results of a UCR multiolefin experiment (EC-151)
173
-------
o.S6r
E 0.42
Q.
Q.
0.28
O
o
0.14
0.00
50 100 150 ZOO 250 300 350
TIME, minutes
(c) Acetaldehyde and propylene
400
0.220r
0.000.
100
ISO 200 250
TIME, minutes
300 350 400
(d) Trans-2-butene and 1-butene
Figure 51 (Continued)
174
-------
Q.
Q.
o.BOr
0.60
0.40
o
z
o
0.20
0.00,
50 100
I I L_
ISO 200 250
TIME, minutes
(e) Formaldehyde
300 350 400
o.ioop
E 0.075
Q-
Q.
0.050
UJ
o
B O.Q2S
0.000
I L
100
150 200 250
TIME, minutes
(f) PAN and PPN
300 350 400
Figure 51 (Continued)
175
-------
E 0.12
Q.
Q.
0.08
o
•z.
8 0.04
°'00
x *
* X
50 100 ISO 200 250
TIME, minutes
(g) Propionaldehyde
300 350 400
o.oier
0.012
0.008
S 0.004
0.000
X X
50 100 ISO 200 250 300 350
TIME, minutes
(h) Butyraldehyde and methyl nitrate
Figure 51 (Concluded)
400
176
-------
i.oor
0.75
0.50
S 0-25
0.00
J I
0 50 100
150 200 250
TIME, minutes
(a) 0,
300 350 400
0.39
a.
CL
o
P 0.26
I—
0.13
0.00
0 50 100 150 200 250 300 350 400
TIME, minutes
(b) N02 and NO
Figure 52. Simulation results of a UCR multiolefin experiment (EC-152)
177
-------
E 0.90
Q.
a.
0.60
S 0.30
0.00
so ioo
ISO 200 250
TIME, minutes
(c) Ethylene
300 350 400
0.00
50 100
150 200 250 300
TIME, minutes
(d) Acetaldehyde and propylene
Figure 52 (Continued)
350 400
178
-------
0.28
0.21
Q.
Q.
UJ
o
0.1*
°-07
0.00
50 100 ISO 200 250
TIME, minutes
300
350
400
(e) 1-Butene and trans-2-butene
0.
Q.
0.80
0.60
< 0.40
a:
UJ
o
0.20
0.00
SO 100 150 200 250
TIME, minutes
(f) Formaldehyde
Figure 52 (Continued)
300
350
400
179
-------
o.iBr
E 0.12|
Q.
0.08
S 0.041
0.00
50 100
150 200 250
TIME, minutes
300 350 400
(g) Propionaldehyde, PPN, and PAN
0.0044|
E 0.00331
Q.
Q.
X X
0.00221
o
2:
S 0.0011I
o.ooooj
SO 100
150 200 250
TIf'.E, minutes
300 350 400
(h) Butyraldehyde
Figure 52 (Concluded)
180
-------
i.zor
o.oo.
100
ISO 200 250
TIME, minutes
(a) 0,
300 350 400
l.OOp
0.00
50 100 150 200 250 300 350 400
TIME, minutes
(b) N02 and NO
Figure 53. Simulation results of a UCR multiolefin experiment (EC-153)
181
-------
2.oor
§. 1-50
Q.
0.50
0.00
0 50 100
150 200 250
TIME, minutes
(c) Ethylene
300 350 400
0.12r
0.06
o
•z.
o
<-> 0.03
0.00
0 50 100
150 200 250
TIME, minutes
(d) Propylene
Figure 53 (Continued)
300 350 400
182
-------
l.20r
0.90
0.60
o
z:
S 0-30
0.00
50 100
150 200 250
TIME, minutes
300 350 400
(e) formaldehyde and 1-butene
0.36r
0.00
50 100 150 200 250 300 350 400
TIME, minutes
(f) Trans-2-butene, acetaldehyde, and propionaldehyde
Figure 53 (Continued)
183
-------
0.20
* *
Q.
a.
0.15
0.10
o
o
<-> 0.05
0.00
50 100
150 200 250
TIME, minutes
(g) PPN and PAN
300 350 400
0.0032p
0.0000
50 100
ISO 200 250
TIME, minutes
300 350 400
(h) Ethyl nitrate and methyl nitrate
Figure 53 (Concluded)
184
-------
i.oop
0.75
O.
0.50
DC
UJ
o
I 0-25
0.00
*******
* » *
50 100
150 ZOO 250
TIME, minutes
(a) Ethylene and 0
300 350 400
0.52 r
50 100
150 200 250 300 350
TIME, minutes
400
(b) N02 and NO
Figure 54. Simulation results of a UCR multiolefin experiment (EC-161)
185
-------
o.izr
o.oo
SO 100 ISO ZOO 250 300 350
TIME, minutes
(c) Propionaldehyde, trans-2-butene, and propylene
400
o.eor
0.00
50 100
ISO ZOO 250
TIME, minutes
(d) Formaldehyde and 1-butene
Figure 54 (Continued)
300 350 400
186
-------
o.20r
fl.OO
200 250 300 350 400
TIME, minutes
(e) Acetaldehyde, PPN, and PAN
O.001
E 0.003
Q.
•S
0
H: 0.002
C£.
\—
UJ
o
^y
3 o.ooi
0.000
X
XX ~
X
XX
X X
-
X
-
X
E ^•'l I I 1 1 1 1 1
3 50 100 150 200 250 300 350 400
TIME, minutes
(f) Butyraldehyde
Figure 54 (Continued)
187
-------
o.ooizp
0.00091-
O.OOOBh
o
o
o Q.0003
0.0000
* * * X X * *
50 100 150 200 250 300
TIME, minutes
(g) Ethyl nitrate and methyl nitrate
Figure 54 (Concluded)
350 400
188
-------
SECTION 6
THE CARBON-BOND MECHANISM
Modeling the smog chemistry of hydrocarbons by treating certain types
of carbon bonds in hydrocarbon molecules and radicals as individual species
was introduced by Whitten and Hogo (1977). Their Carbon-Bond Mechanism
(CBM) was formulated to create a mechanism that:
> Has few or no empirical parameters that must be used to
adjust it to produce simulations in agreement with smog
chamber experiments.
> Is capable of accepting atmospheric hydrocarbon measure-
ments in the forms usually provided (ppmC or as weight
rather than moles of molecules), eliminating the need to
estimate average molecular weights for paraffins, olefins,
and other classes of species.
> Is compact enough to be used in conjunction with a
regional model of air pollutant transport and dispersion
for calculating pollutant concentrations as functions of
space and time in urban areas.
> Is based on a generalization of explicit mechanisms
rather than an empirical best fit of smog chamber data.
Refinements in explicit mechanisms can then lead directly
to similar refinements in such a generalized mechanism.
> Is applicable to the complex mixtures of hydrocarbons
found in urban atmospheres.
The first four objectives in the above list have largely been accom-
plished: The original formulation of the CBM has only two empirical para-
meters that were chosen to fit smog chamber data: the rate constants that
account for PAN formation and NO, behavior in aromatic oxidation. Using
the CBM requires an estimate of the nonmethane hydrocarbon (NMHC) concentra-
tion and the percentages of various bond types in the NMHC, whereas some
189
-------
previous generalized mechanisms require the total NMHC concentration, the
percentages of various classes of molecules (such as olefins and aromatics)
in the NMHC, and the average molecular weight of each class. The CBM is
applicable to urban atmospheres as part of a regional air quality model,
as exemplified by the study by Anderson et al. (1977). From their use of
a regional model to study present and future pollutant concentrations in
Denver, they concluded that: "The accuracy of the ozone concentrations
predicted by the DAQM [Denver Air Quality Model] is on the order of the
accuracy of the ozone monitoring instruments." (The new CBM will soon be
used in regional air quality models for St. Louis, Missouri, and Los Angeles
California). Finally, the new CBM is based on generalization of our explicit
mechanism for four olefins and two paraffins plus a semi-empirical mechanism
for aromatics. The last objective in the above list, the ability of the CBM
to treat mixtures of hydrocarbons accurately, has been tested during this
contract period.
In the following sections, we first present the original formulation of
the Carbon-Bond Mechanism and describe our study to determine the accuracies
of mechanisms at different degrees of condensation, including an explicit
mechanism and the CBM. Second, we present the formulation of the new CBM,
which is based on the explicit mechanisms discussed in Section 5.
THE ORIGINAL CARBON-BOND MECHANISM
The Carbon-Bond Mechanism as originally formulated is presented in
Table 32. As discussed by Whitten and Hogo (1977), the CBM is largely
an aggregation and generalization, or "condensation," of the chemical
reactions used in explicit kinetic mechanisms. For example, all explicit
mechanisms in this report include the reaction OH- + N02 -»• HN03 with the
same rate constant, and so does the CBM. The CBM treats four types
of carbon atoms as reactants:
> PAR (all single-bonded carbon atoms, including those in
paraffins, alkyl groups attached to aromatics, and so on,
but excluding methane and ethane).
190
-------
TABLE 32. THE ORIGINAL FORMULATION OF THE CARBON-BOND MECHANISM
Reaction
Rate constant
(ppm" mln )
N02 + hv •+ NO + 0-
0- + 02(+ M) ->• 03 (+ M)
03 + NO ->• N02 + 02
0- + N02 -»• NO + 02
NO
NO
2HN0
2HN0
HN02 + hv -4- NO + OH
N02 + OH- * HN03
NO + OH- + HN02
CO + OH- •*• C02 + HC
°2
OLE + OH- £ HCHO +
0,
2
+ OH- *
+ H20
PAR + OH
j t.
0-
ARO + OH- + HCHO + CHjOg
20-
OLE + 0- -4 HC(0)02- + CH30^
°2
PAR + 0- 4 CH302 + OH-
20,
ARO + 0- -4 HCfOjO^ + CH30^
°2
OLE + 0- * HC(0)02 + HCHO + OH-
191
2.08 x 10
25.2
1.34 x W*
5 x 10"2
1.3 x 104
"5
"3t
1.66 x 10
2.2 x 10"9t
9 x 10°
9 x 103
2.06 x 102
3.8 x 104
1.3 x 103
8 x 103
5.3 x 103
20
37
0.01
(continued)
-------
TABLE 32 (Concluded)
Reaction
Rate constant
(ppnf1 min'1)
ARO
u?
+ 03 * HC(0)0^ + HCHO + OH-
0.002
OLE + 0. + ozonlde
20-
HCHO + hv +* HC(0)02 + H02
HCHO + hv -*• CO + H2
°?
HCHO + OH- ' HCtOOj + H20
0.005
L*
HCHO -> Radicals
If*
KHCHO •*• CO
1 x 101
HOj + NO -* OH- + N02
2 x
+ NO + N0£ + HCHO +
2 x
HC(0)Oj + NO -> N02 + C02 + HOj
2 x 10-
+ hv ->• OH- + OH-
HOj + HOj •*• H202 + 02
4 x 10J
CH.OA + HO* •*- H,COOH + 09
O t to ^-
HC(0)0- + HO. •*- HC(0)OOH + 0
HC(0)02 + N02 * PAN
PAN * HC(0)02 + N02
ARO + N03 -»• Products
HOj + N02 -^ HN02
4 x 10J
1 x 10
150
0.02
50
20.
* Photolysis rate constants 1n units of min
t Units of
-1
Source: Whitten and Hogo (1977).
192
-------
> OLE (all atoms in carbon-carbon double bonds, treated in
pairs of carbon atoms, except those in ethylene and
aromatic rings).
> ARO (all atoms in carbon-carbon double bonds in ethylene
and aromatic rings, treated in pairs).
> CAR (carbonyl carbon atoms, whether in aldehydes or ketones).
These four species were chosen to account for the types of carbon atoms
that are important in photochemical smog; carbon atoms in alkynes, amines,
alcohols, and other species appear to be unimportant because they are
emitted only in small quantities. In addition, explicit mechanisms and
smog chamber experiments involving those species are not readily available.
The CBM, as a condensation of explicit kinetic mechanisms, was
designed to reproduce as closely as possible the results of simulations
of smog chamber data using explicit mechanisms rather than the data them-
selves. Thus, there are two standards of performance for the CBM:
> How well it reproduces smog chamber data.
> How well it reproduces simulations of smog chamber data
using explicit mechanisms.
The importance of the former is obvious, the latter is important because
it is a measure of how well the CBM represents the state of knowledge of
smog chemistry expressed in explicit kinetic mechanisms. As discussed by
Whitten and Hogo (1977), the latter performance standard is more meaning-
ful, and a closer fit of smog chamber data by a CBM simulation than by
a simulation with the appropriate explicit mechanism is fortuitous.
The difference in these performance standards is shown by results
from Whitten and Hogo (1977). As measured by the difference between the
maximum one-hour-average CL concentration measured in a smog chamber
experiment and that calculated in the corresponding computer simulation,
the CBM fit the explicit mechanisms with a standard deviation of 10
193
-------
percent and the UCR smog chamber data with a standard deviation of 27
percent. The explicit mechanisms themselves fit the UCR smog chamber
data with a standard deviation of 20 percent. These figures suggest
that more of the uncertainty in a CBM simulation of a smog chamber experi-
ment was caused by deficiencies in knowledge of smog chemistry or inaccur-
acies in smog chamber data than by the approximations and assumptions on
which the CBM is based.
Degree of Condensation in a Mechanism
This section describes some tests of how an increase in condensation
in a kinetic mechanism affects its predictive accuracy. An approximation
used in the CBM is the assumption that carbon atoms with similar bonding
react alike and have similar rate constants. This approximation has been
made to reduce (or condense) the number of chemical reactions treated in
the CBM. Of course, the CBM is only one of many possible mechanisms based
on that approximation. A mechanism less condensed than the CBM could be for-
mulated by treating primary, secondary, and tertiary carbon atoms in
paraffins separately. A more condensed mechanism could be formulated, for
example, by treating olefins and aromatics together.
We used four mechanisms with different degrees of condensation to
simulate a smog chamber experiment to study the way in which condensation
affects accuracy. The smog chamber experiment studied (UCR EC-150) was
begun with four olefins of widely different reactivities (ethylene, pro-
pylene, 1-butene, and trans-2-butene). This experiment was chosen because
the reactions of the initial hydrocarbons can be treated at different
degrees of condensation. The four mechanisms at different degrees of con-
densation used to simulate EC-150 are:
(1) An early explicit kinetic mechanism [the combination
of explicit mechanisms for the four initial hydro-
carbons taken from Whitten and Hogo (1977)].
194
-------
(2) A modification of the CBM in which all initial
(unreacted) double bonds are treated explicitly and
all other species are treated using generalized
species (e.g., propylene is treated as one PAR and
one "p^opylene double bond"; an oxidized species such
as CH3CO* is treated as one PAR and one HCO;).
(3) The original formulation of the CBM (e.g., propylene
is treated as one PAR and one OLE; ethylene is treated
as ARO).
(4) The CBM with ethylene grouped with OLE rather than with
the less reactive ARO.
In this discussion, it is helpful to consider hydrocarbon oxidation in
smog in two phases: primary and secondary. In primary oxidation, the
original olefin is attacked by OH-, 0, or 0~, producing mainly ROX, RCO,,
and RCHO. In secondary oxidation, those products react until CO or C0?
is finally reached.
Mechanism 1 treats all important reactions in both primary and secondary
oxidation explicitly. Mechanism 2 treats the secondary oxidation reactions
through the generalized species used in the CBM. The treatment of the
primary oxidation reactions in Mechanism 2 is somewhat more detailed than in
Mechanism 1 because the latter ignores the possibility of attack by OH»
on the paraffinic portions of the olefins. This difference is unlikely
to be important for small olefins such as propylene because OH- apparently
attacks the double bond in the olefins of interest far more frequently than
it attacks the paraffinic portions. For longer aliphatic olefins, however,
the competition for OH- between the double and single bonds should be con-
sidered. We used Greiner's (1970) formula for calculating alkane-OH« rate
constants to estimate that the single bond attack becomes competitive for
olefins with ten or more carbon atoms, Mechanism 3, the original formula-
tion of the CBM, treats both the primary and secondary oxidation reactions
through generalized species. The initial olefins propylene, 1-butene, and
195
-------
trans-2-butene are treated as OLE (with the appropriate number of PARs),
and ethylene is treated as ARO. Mechanism 4, the most condensed of the four
mechanisms studied, is similar to Mechanism 3 expect that ethylene is treated
as OLE rather than ARO.
Before presenting the simulation results, we wish to point out that
the simulations with Mechanism 1 were carried out early in the contract
period and do not reflect the refinements discussed in Section 5. Figure 55
compares Mechanisms 1 and 2. Excellent agreement is seen; hence there is
no loss of accuracy when secondary oxidation products are condensed. To
test Mechanism 3, we have to calculate rate constants for olefin + OH-
for the surrogate olefins. Four ways of doing this are: the arithmetic
mean (k/,M), the geometric mean (kgM)> the harmonic mean (kuuK and the root-
mean-square-value (kRMS):
kAM " V^ ' (74)
4, "i
w. £n ki
(75)
r»,
k
HM = ^- .. „ • (76)
196
-------
o
in
ro
o
8
o
in
CM
10
ai
o
o
CM
O
IT)
CO
o
•o
c
ro
o
o
o
o
o
in
i--
•
o
o
in
in
CM
c.
cu
•^
S-
CD
a.
X
O)
ro
10
•t-1
c
ro CM
4J
3 -O
i— C
i— ro
O
O-r—
i/l CO
=3 E
O co
•r- -r—
s- c
ro ro
> .C
O
CO CD
C C
O •<-
•r- CO
+-> 3
ra
4-> O
C LO
O) i—
(J I
C O
O LU
LD
LT)
3
CD
(NOIiVcJiN3DN03
197
-------
i— CVJ
s s:
c/i oo
o
O)
3
C
C
O
o
in
LO
198
-------
o
"~l o
o o
o
in
co
o
o
CO
o
LD
CVJ
CD
10 C
r—
3 >»
o c o.
O T- O
t-i O
T3
OJ
-t-J
C
O
o
Lf)
QJ
o
LT>
O
O
CM
o
oo
o
o
o
199
-------
r— CM
I/O
-o
O)
T5
3
LO
IT)
OJ
CD
•o
200
-------
where w. is the mole fraction of olefin i (relative to the total olefin
concentration) and k.- is the rate constant for reaction of olefin i with
OH-.
The results of the simulation of the multiolefin experiment with the
four mechanisms are summarized in Table 33. The results of using Mechanism 3
are shown in Figure 56 for each of the four averaging methods just discussed.
The results are compared to those of Mechanism 2, which we have already shown
to be accurate. Note that the root-mean-square rate constant, kRMc> works
best.
Figure 57 compares Mechanism 4 to Mechanism 2. Acceptable agreement
is obtained for NO when the arithmetic mean of olefin rate constants is used,
but NOp and 0_ are poorly reproduced regardless of what averaging method
is used. Since the simulation with Mechanism 3 agreed fairly closely with
those from Mechanisms 1 and 2, the difference between those simulations and
the simulation with Mechanism 4 arises from the loss in accuracy inherent
in the condensation of the primary oxidation reactions.
TABLE 33. RESULTS OF SIMULATING A MULTIOLEFIN EXPERIMENT WITH FOUR MECHANISMS
No.
1
2
Mechanism
Full explicit
Explicit olefin reactions,
No. of
species
53
25
No. of
reactions
117
50
Mechanism (N-l)
--
Excellent
condensed secondary oxidation
Carbon-Bond Mechanism—olefins 21
treated in two groups, con-
densed secondary oxidation
CBM, except olefins treated in 20
one group
40
35
Good
Poor
201
-------
oo
i—i
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:r
o
c
O)
S-
O)
Q.
X
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3
03
M-
O
(/I
c
o
-i->
re
3
E
to
c
(O OO
•(->
3 -a
<— c
i — re
o
0.00
3 E
O tO
re re
> .c
o
it- O)
o 2:
to en
c c
O -r-
•I- tO
•»-> 3
re
4-> O^
C LO
OJ i—
o i
c o
O UJ
C_J «
ID
(LI
CD
'NOIlVaiN30N03
202
-------
ro
S
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in
CO
o
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o
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csj
o
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CV, E
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<->
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o
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203
-------
5 o
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204
-------
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—t o
5 ui n: <
— ^r"" i T1
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t ui a: u
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205
-------
00
o
-i o
LU
o
LjJ
eg; uu
o
O >— i
O LU 31 <
s: s: i— z
Qi O •— l O
et UJ Ci LLJ
o
o
o
ir>
ro
o
o
o
in
CSJ
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CM O
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206
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3
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3
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207
-------
Any time two or more reactants are represented by a single surrogate
species with an averaged rate constant some loss in accuracy is unavoidable.
In the early stages of any simulation, the more reactive species disappear
more rapidly than the less reactive ones, and so the averaged rate constant
is too low early in the simulation and too high late in the simulation.
Hecht, Liu, and Whitney (1974) showed that a continuously updated average
rate constant could be used in a mechanism with condensed primary oxidation
reactions to attain greater accuracy. Perhaps the Carbon-Bond Mechanism
could be combined with such an averaging scheme. The resulting mechanism
should give accuracy commensurate with that of Mechanism 2, yet the number
of species treated in the kinetics would be as low as in the standard Carbon-
Bond Mechanism. Unfortunately, using such an averaging scheme would require
more data, namely, the relative amounts of different molecules of the same
chemical type.
In summary, this test suggests that mechanisms slightly more condensed
than the CBM can be much less accurate if ethylene is grouped with other
olefins and that mechanisms with less condensation are only slightly more
accurate, indicating that the CBM represents a desirable compromise between
compactness of form and accuracy of prediction.
FORMULATION OF THE NEW VERSION OF THE CARBON-BOND MECHANISM
At the time the original CBM was formulated it represented a conden-
sation of existing explicit mechanisms (primarily for propylene and butane).
It was also used to simulate a set of smog chamber experiments with a
reasonable degree of success. Knowledge of smog chemistry has expanded to
include more molecules, however, and the amount of data from smog chamber
experiments has increased. Therefore, we sought to improve the Carbon-
Bond Mechanism.
Periodic updating of generalized mechanisms such as the CBM is to be
preferred to continuous updating. Changes in one reaction may require
compensating changes in other reactions to maintain the overall predictive
208
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accuracy of simulations using the mechanism. Consequently, after a change
the mechanism should be tested with an entire set of smog chamber data
to ensure that no special problems have been created that would create
difficulties in atmospheric applications. The cost of such testing makes
it desirable to test the effects of several changes at once. In addition,
documentation of any changes is necessary to keep all users of the mechan-
ism informed.
The formulation of the new version of the CBM reflects the following
changes to the original CBM:
> Elimination of the peroxyformyl radical (HCO;).
> Updating of the rate constants and the exclusion of HONO
and HOOH.
> Inclusion of the reactions of intermediate Criegee
species formed from ozone-olefin reactions.
> Inclusion of new surrogate species representing the
addition products of OH* to double bonds.
> Inclusion of a new formulation for carbonyl photolysis
and oxidation.
> Treatment of alkyl radicals in long-chain paraffins.
> Treatment of ethylene as an explicit species.
> Treatment of internal oleftns as carbonyls.
> Use of a root-mean-square rate constant for the reactions
of OH«, 0, and 03 with hydrocarbons.
> Incorporation of a new aromatic chemical reaction scheme.
Each of these changes is discussed individually in the following subsections.
Table 34 lists the current version of the CBM.
Elimination of the Peroxyformyl Radical
At the time of the original formulation of the CBM, our explicit
mechanisms included the peroxyformyl radical (HCOj), which no longer
209
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TABLE 34. THE NEW CARBON-BOND MECHANISM
Activation
, energy
_ Reaction _ (ppm mln ) _ (K)
NOj + hv -> NO + 0 Experimental f
c§
0 + 02 + M - Oj + H 2.1 X 10
03 + NO - N02 + 02 23.9 1.450
03 + N02 •* N03 + 02 4.8 X 10~2 2,450
0 + N02 - NO + 02 1.34 x 104
03 + OH -> H02 + 02 7.7 x 101 1 ,000
03 + H02 * OH + 202 5.0 1,525
N02 + OH -> HN03 1.4 x 104
°2 2
CO + OH -> H02 + C02 4.4 x 10^
-10s
NO + NO + 02 •+ 2N02 7.1 x 10
N03 + NO + 2N02 2.8 x 104
N03 + N02 + H20 •* 2HN03 1.56xlO"35 -10,600
H02 + NO •* N02 + OH 1.2 x 104
H02 + H02 -> 1.5 x 104
PAR + 0 * ME02 + OH 2 X 101
PAR + OH * ME02 1.5 x 103
OLE + 0 * ME02 + AC03 + X 2.7 x 103
OLE + 0 * CARB 2.7 x 103
OLE + OH * RA02 4.2 x 104
OLE + 03 * CARB + CRIG 8 x 10"3
OLE + 03 - CARB + MCRG 8 x 10"3
ETH + 0 •» ME02 + H02 + CO 6 x 102
ETH + 0 •» CARB 6 x 102
(Continued)
210
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TABLE 34 (Continued)
Rate constant
at 298K
Reaction (ppm" min ) (K)
ETH + OH * RB02 1-2 x 104
ETH + 03 * CARB + CRIG 2.4 x 10"3
ftC03 + NO ->• N02 + HE02 + C02 3.8 x 103
RB02 + NO -* N02 + 2 CARB + H02 1.2 x 104
RA02 + NO -> N02 + 2 CARB + H02 1.2 x 104
ME02 + NO -* N02 + CARB + HE02 + X (1.2 x 104)(A-1)/A*
ME02 + NO - N02 + CARB + H02 (1.2 x 104)/A**
ME02 + NO •» Nitrate 5 x 102
RBOj + 03 -» 2 CARB + H02
RA02 + 03 -> 2 CARB + H02 2 x 10*
ME02 + 03 * CARB + H02 5.0
CARB + OH -> o(H02 + CO) + (1 - a)(AC03 + X) (2.4 - a) x 104
CARB + hv ->• CO akf*tt
CARB + hv -•• (1 + o)H02 + (1 - a)(HE02 + X) + CO la.jf iV *tt
X + PAR * 1 x 105
AC03 + N02 •* PAN 2 x 103
PAN ^ AC03 + N02 2.8 x 10"2 12,500
AC03 + H02 * 4 x 103
HE02 + H02 * 4 x 103
CRIG + NO * N02 + CARB 1.2 x 104
CRIG + N02 * N03 + CARB 8 x 103
CRIG + CARB ^Ozonide 2 x 103
MCRG + NO * N02 + CARB 1.2 x 104
HCRG + N02 * N03 + CARB 8 x 103
211
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TABLE 34 (Concluded)
Reaction
MCRG + CARB •* Ozonide
CRIG - CO
CRIG •» Stable Products
CRIG - 2H02 + CO
MCRG * Stable Products
MCRG * ME02 + OH + CO + X
MCRG •» M£02 + H02 + X
MCRG - CARB + 2H02 + X
ARO + OH * Y + H02
ARO + OH - V + OH
Y + NO •» NO + AERO
Y + NO - NO + HCHO + PAR
Y + NOj -» HNOj
Y + 03 •» PAR + PAR
Rate constant
at 298K
(ppm" mln" )
2 x 103
6.7 x 102
2.4 x 102
9 x 101
1.5 x 102
3.4 x 102
4.25 x 102
8.5 x 101
1.5 x 104
9 x 103
1 x 101
2 x 101
3.5 x 104
5 x 10'1
Activation
energy
(K)
--
—
--
-
--
--
-
—
--
—
—
—
~
-
* The rate constants shown are as used to nodel eleven experiments at UCR that used
mixes of seven hydrocarbons. For that study the default values, o • 0.5 and
A = 1.5, were used.
t Units of mln"1.
I Units of ppm m1n~ .
** A is the average number of ROj-type radicals from a hydrocarbon between
attack by OH- and generation Bf H02-
t+ a is the fraction of total aldehydes that represents formaldehyde and ketones.
kf 1s the rate constant for the reaction HCHO + hv •» 2HOJ + CO.
212
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appears in our explicit chemistry (see Section 5 for further discussion).
To account for this change, we introduced a new surrogate species, ACOX,
which is-a surrogate for RCOX radicals (where R has one or more carbon
atoms). AGO;, which has two carbon atoms, is formed in the CBM from the
reaction of OH- with CARB, which represents only one carbon atom. Thus
some correction must be made to preserve carbon mass balance. The correction
we used is suggested by a reaction of RCOl in the explicit mechanisms.
Recall that in those mechanisms RCO^ (R >. CH^) can react with NO to produce
NOp, C02> and RO^. The significance of that reaction is that it initiates
the oxidation of the carbon atom adjacent to the CO; group in RCOA without
any involvement of OH- or 0. Thus it corresponds, in the terms used in the
CBM, to the conversion of PAR to MEOp by a pathway not previously accounted
for in the CBM. In the revised Carbon-Bond Mechanism ACOx reacts with NO
to produce NO^, CO^, and MEO^ (the surrogate for ROA). When this reaction
is included in the CBM one PAR must be subtracted to account for the MEOp
formed (i.e., to maintain carbon mass balance). We accomplished this by
means of a fictitious compound X. One X is produced whenever an extra
carbon atom appears on the right side of a chemical reaction. This X
immediately removes one PAR by means of the reaction PAR + X+ , which
is given a very high rate constant. Typically the appearance of X accounts
for the oxidation of a single-bonded carbon atom from the PAR pool by
pathways other than direct reaction with OH- or 0. These other pathways
were not accounted for in the original formulation of the CBM.
At present, we do not treat the case of X being produced when no satu-
rated carbon atoms remain (i.e., [PAR] = 0). None of the UCR experiments
simulated to date seems to require consideration of this potential problem.
During the coming year, we will investigate such possibilities as a competi-
tive reaction for X with the ACO; or the MEOp produced at the same time;
either reaction would produce H0«.
213
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Updating of the Reaction Rate Constants
The reaction rate constants from the original CBfl developed by
Whitten and Hogo (1977) were updated to those shown in Table 34 as dis-
cussed in Sections 4 and 5. One of the new features of the CBM is the
inclusion of activation energies to account for variations in temperatures.
On the basis of studies of the effects of HONO chemistry in the
explicit mechanisms (see Section 4), we have eliminated HONO chemistry from
the CBM. For the smog chamber simulations, we have introduced a species
"RX", with a decay constant and concentrations similar to those of the
initial HONO used in the explicit mechanism as a source of radicals found
initially in the simulations (see Section 4 for further discussion).
Hydrogen peroxide as an explicit chemical species has been elimi-
nated from the CBM on the basis of investigations of the explicit mechan-
isms showing that the photolysis of hydrogen peroxide plays only a minor
role as a radical source. Thus, the only reaction used in the CBM is:
4 -1 -1
H0£ + H02 -»• , k = 1.5 x 10 ppm min
Products of the Ozone-Olefin Reactions
Because Criegee intermediates from the ozone-olefin reaction were
added to the explicit mechanisms, we included them in the Carbon-Bond
Mechanism. The Criegee intermediates are represented by the symbols CRI6
for CH202 and MCRG for CH3CH202, the two Criegee intermediates found in
the explicit mechanisms. Since the reactions of the Criegee intermediates
are the same as those discussed in Section 5, they are not discussed here.
As noted in Section 5, the rate and amount of production of radicals from
Criegee intermediates is still uncertain. Therefore, the CBM may be further
updated as more information concerning the fate of these intermediates
becomes known.
214
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Carbonyl Photolysis and Oxidation
A necessary part of the formulation of the Carbon-Bond Mechanism is
the condensation of the reactions of aldehydes and ketones into two types
of reactions, namely, photolysis and oxidation by hydroxyl radical.
In general, aldehydes larger than formaldehyde appear to photolyze
as follows:
RCHO + hv -»• R'O- + HO^ + CO kyg = kf is defined as: $ is the average quantum
yield, and k. is the photolysis rate constant for formaldehyde producing
two radicals. (Note that k. is the same as FORM+Products, which is defined
and discussed in detail in Section 4.) In dll computer simulations dis-
cussed in the previous sections, a value of 0.5 for <(> was assigned to all
higher aldehyde photolysis reactions. We used k, to represent the photol-
ysis rate constant for all aldehydes.
In the photolysis of formaldehyde under a typiqal solar spectrum, two
reaction pathways occur at approximately equal rates (see Section 4):
HCHO + hv + H2 + CO k?g = kf , (79)
HCHO + hv -> H02' + HO^ + CO kgo = kf . (80)
Thus the total photolysis rate for formaldehyde is 2 x kf. For the photo-
lysis of ketones, we assumed that the rate constant is kf> as was done in
the explicit mechansims.
To condense all the aldehydes and carbonyls into one reaction,
CARBONYLS + hv -»• RO^ + HO; + CO kg] = k , (81)
215
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we define a variable a as the fraction of the total aldehydes and ketones
that is formaldehyde and ketones:
[Formaldehyde] + [Ketones] ,
a " [Total Carbonyls]
[Higher Aldehdyes]
" a " [Total Carbonyl
Total Carbonyls J
Defining CARB as the concentration of carbonyls (i.e., the sum of the
aldehyde and ketone concentrations), we can write:
CARB + hv -^ a(H2 + CO) = aCO + aH2 , (82a)
CARB + hv •* a(H02 + HO^ + CO) = 2aH02 + aCO , (82b)
CARB + hv + (1 - a)(ME02 + X + H02 + CO) , (82c)
Each of the above reactions represents the photolysis of the aldehydes
[Reactions (82a and 82b) represent formaldehyde, and Reaction (82c)
represents the higher aldehydes]. The sum of Reactions (82b) and (82c)
is:
CARB + hv + (1 + a)H02 + (1 - a)(ME02 + X) + CO k82(J = k . (82d)
The rate constant for Reaction (82d) is:
If - \e + k
K K82b K82c
kf
where k- - ak- and k = (1 - a)--
Theref ore ,
216
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Thus, we can write Reactions (82a) through (82d) as:
CARB + hv + H2 + CO kg3 = akf , (83)
CARB + hv + (1 + a)H02- + (1 - a)(ME02 + X) + CO kg4 = 2- kf , (84)
Note that in systems with pure formaldehyde, Reactions (83) and (84) would
reduce to Reactions (79) and (80). For systems with higher aldehydes
and zero formaldehyde (a = 0), Reaction (83) would not occur, and Reaction
(84) would reduce to Reaction (78). By grouping ketones and formaldehyde
as a, we can simulate the effect of the ketones in our present explicit
mechanisms. Reactions (83) and (84) can be further condensed to one equation:
CARB + hv -»• k +Ji HOX
3a + 1 2
(85)
The second major reaction of aldehydes is oxidation by hydroxyl radicals
HO 2 + CO + H20 for formaldehyde
•
RCHO + OH- -»• \
ACOj + H20 for higher aldehydes
Using our definition of a, we can write the oxidation reaction as one
general reaction:
CARB + OH- ->• a(HO^ + CO) + (1 - a)(AC03 + X) kgg = (2.4 - a) x 104 . (86)
217
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Since a represents both formaldehyde and ketones, we assumed that the
carbonyl oxidation reaction (No. 86) approximates the actual ketone
oxidation reaction.
Treatment of Alky! Radicals
In the discussion of alkylperoxy radicals in Section 5, we note the
following general reactions:
R02 + NO -> RO- + N02 ,
R02 + NO -»• Nitrates
RO- + 02 •* Aldehyde + H02
(90)
L
, .
(88)
(89)
02
RO- -»- HOROp ,
°2
RO- -4 R'02- + Aldehyde , (91)
RO: + HO: -»• Stable Products . (92)
We have condensed these reactions as follows
ME02 + NO -»• N02 + CARB + H02 , (93)
ME02 + NO -»• N02 + CARB + (ME02 + X) , (94)
ME02 + NO -»• Nitrates , (95)
ME02 + HO^ -»• Stable Products . (96)
Reactions (90) and (91) occur in systems with carbon chains greater
than or equal to four (e.g., butane and 2,3-dimethylbutane). The present
218
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explicit mechanisms show that for butane and 2,3-dimethylbutane, the amount
of ROp-type radicals formed per oxidation (via OH- attack) of the initial
hydrocarbon is greater than one. Part of this oxidation is due to an
isomerization reaction (No. 90). To account for the extra ROp-type radi-
cals formed before HOo is generated, we have defined a new parameter A,
which represents the average number of ROp-type radicals formed per initial
hydrocarbon oxidized until an HOp is formed. For short-chain hydrocarbons
(i.e., carbon number less than four), A = 1.
The 2, 3-dimethyl butane molecule predominantly forms a tertiary peroxy-
alkyl radical after reaction with OH-. That radical can react with NO to
produce NOp and a tertiary alkoxyl radical, which in turn leads to one
more peroxy radical (according to our present explicit mechanism; see Table
21 in Section 5). The HOp radical does not appear until this second peroxy
radical has reacted with NO to yield N02- Thus, A = 2 for 2,3-dimethylbutane.
The rate constants for Reaction (93), (94), and (95) are related
as follows:
k93 + k94 + k95
The relationship between kg3 and kg. is derived from the sum of an infinite
geometric series. For 2,3-dimethylbutane, using an A = 2 and ignoring
nitrate formation (kg5 = 0) implies that kg. = kg3 . Consequently, half the
time ME02 would be re-formed when MEOp reacts with NO. Therefore, the
cycle would be:
1 + — + — + — + -?
'248* *
In computer simulations with detailed mechanisms, we found that alkyl
nitrate formation from ROx + NO can be important in long-chain hydrocarbon
systems (Darnell et al., 1976a). Thus, we included Reaction (95) in the
219
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Carbon-Bond Mechanism. For simulations of small hydrocarbons, we used a
rate constant of 100 pprtf min" for Reaction (95). For longer chain
hydrocarbons (butane and 2,3-dimethylbutane), we assumed a value of
1000 ppm'^min"1. For mixtures of hydrocarbons, we assumed an intermediate
value of 500 ppm min , which produced nitrate levels in agreement with
the UCR measurements.
Treatment of Ethylene Chemistry
Ethylene was grouped with aromatics in the original CBM. Since we have
developed a separate scheme for aromatics, we now treat ethylene as a species
in its own class. The ethylene chemistry consists of the same reactions as
the explicit ethylene mechanism given in Section 5.
Treatment of Internal Olefins as Carbonyls
Detailed investigations of the trans-2-butene experiment have led us
to postulate the initial trans-2-butene/NO experiments as essentially
A
aldehyde/NO experiments. After approximately 60 minutes of an experiment,
X
virtually all of the trans-2-butene has been oxidized. Therefore, for
the Carbon-Bond Mechanism, we have assumed all of the initial trans-2-butene
to be carbonyls. One trans-2-butene can be represented as two carbonyls.
Two computer simulations with the CBM were performed, one using trans-
2-butene as the initial olefin (Figure 58) and the other using trans-2-
butene as carbonyls (Figure 59). As shown in these figures, the results
of the simulations are essentially the same, except that the NO crossover
/\
time is late in Figure 59. When trans-2-butene is considered a carbonyl,
we lose some radicals associated with the trans-2-butene + 0( P) reaction
that are needed initially and possibly some early conversions of MO to ^ as
well. By increasing the initial radical source "RX" slightly, we can shift the
NO crossover to be more consistent with the observed data and the explicit
J\
mechanism simulations. The ozone-olefin reactions do not become important
because no trans-2-butene is left when the ozone forms. For mixtures
220
-------
CL
QL
et
oc.
S
0.40
0.30
O.ZO
0.00
0.36r
0.27
50 100 150 ZOO 250 300 350
TIME, minutes
(a) N02, NO, and
400
Q.
D.
o
£ 0.18
o:
g 0.09
0.00.
SO 100
150 200 250
TIME, minutes
(b) Olefins
300 350 400
Figure 58. Simulation results of a UCR trans-2-butene equipment
(EC-146) with the Carbon-Bond Mechanism
221
-------
a.
D.
o.ioor
0.075
0.050
LU
O
S 0-025
X *
0.000
- I -
50 100 150 ZOO 250
TIME, minutes
(c) PAN
Figure 58 (Concluded)
. i _ -i i
300 350 400
222
-------
E
Q.
o.
(—
O.IOi
-0.301
0.201
0.101
-ND2
O.OOj
50 100 150 200 250 300 350
TIME, minutes
400
(a) N02, NO, and
O.lOOi-
0.0751
0.0501
o
1 0.025)
o.oooJ
-I _
50 100
ISO 200 250
TIME, minutes
(b) PAN
300 350 400
Figure 59. Simulation results of a UCR trans-2-butene experiment
(EC-146) with the Carbon-Bond Mechanism (trans-2-
butene assumed to be a carbonyl)
223
-------
containing internal olefins, the approximation of considering these olefins
as carbonyls should be even more valid. However, the effect of adding
these olefins after ozone is present warrants further testing. For the
current version of the CBM, we treated all internal olefins present at the
beginning of an experiment as part of the carbonyls.
Rate Constants for the OLE + OH* and PAR + OH- Reactions
Based on the study of the mulitolefin Run EC-150 with the original
CBM, we have concluded that the root-mean-square rate constant for OLE +
OH« reactions (and OLE + 0, OLE + O.J will produce the best agreement between
predictions and observational data for the multihydrocarbon/NO systems.
/\
A similar but tentative decision has been made for the PAR + OH- (and PAR + 0)
reactions.
Rate constants for the generalized species in the CBM are not always
easily defined. For instance, the single-bonded carbon atoms in a mixture
of olefins would be treated in the CBM as PAR. In such cases we used a
generalized or default PAR + OH- rate constant of 1500 ppm" min" , which
was derived as discussed below. To simulate pure methane or ethane systems
one should lower the PAR + OH- rate constant appropriately.
As discussed by Whitten and Hogo (1977), grouping carbon atoms by bond
type normally reduces the range of rate constants to be treated in a mech-
anism. By Greiner's (1970) formula, several alkanes (C. or larger) were
calculated to react with OH- at rate constants within about 30 percent of 1300
ppm" min" per carbon atom. For the original CBM Whitten and Hogo (1977)
therefore suggested 1300 ppm" min" as a rate constant for all PAR + OH-
reactions. We now suggest 1500 ppm" min" as the universal PAR + OH« rate
constant. The higher number reflects recent studies of some alkanes,
notably butane, that suggest higher rate constants than those calculated
from Greiner's formula (see Section 5 on butane chemistry).
224
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For the double bond species OLE in the CBM, we generally used the
rate constants for the corresponding reactions of propylene unless specific
information on the rate constants was available. For example, in a
comparison of CBM and explicit mechanism simulations of experiments started
with a mixture of four olefins (described earlier), the rate constants
and relative concentrations of each olefin were available, and so that
information was used in the simulations.
In the explicit olefin mechanisms, we incorporated the reaction of the
hydroxyperoxyalkyl radical with ozone. To include this reaction in the
CBM, it was necessary to use the surrogate species RA02 and RBOp for the
products of the reactions of hydroxyl radicals with double bonds.
A New Aromatic Chemistry Scheme
Aromatic hydrocarbons are an important component of atmospheric hydro-
carbons (typically 20 to 30 percent of the total NMHC). Thus, our need for
a mechanism that adequately simulates the fate of the aromatics precludes
the option of waiting for an accurate explicit description of the chemistry.
Since a validated explicit aromatic mechanism similar in accuracy to those
available for propylene and butane does not exist, our efforts to produce
a condensed kinetic mechanism for aromatic compounds must be viewed as
conjectural.
We analyzed the mechanism proposed by Hendry et al. (1978) as an
explicit description of toluene oxidation chemistry. The basic structure of
toluene chemistry described by Hendry et al. (1978) is similar to the Carbon-
Bond aromatic formulation, though their explicit mechanism is much more com-
plicated. However, their explicit mechanism does not satisfactorily describe
ozone formation and limitation. Thus, we are forced to rely on empirical
relationships combined with our best speculations as to the true nature
of the chemistry involved.
We base our description of the main features of aromatic chemistry
on the following information:
225
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> The UCR toluene smog chamber runs--EC-77 through EC-86
and EC-264 through EC-273.
> The UCR seven-component mix runs--EC-231 through EC-247.
> A simulated diurnal cycle smog chamber experiment con-
ducted by R. B. Stanfield (private communication, 1978)
of Exxon Research and Engineering Company involving nine
components (three aromatics x, 30 percent of the mix).
The first-approximation mechanism described by Whitten and Hogo (1977)
contained reactions of aromatic hydrocarbons with 0- and NO,. These reactions
were given rate constants considerably higher than the true rate of aromatic
reactions with these species so as to represent the reaction of the ring-
opened compounds that form from aromatic oxidation. The species formed from
an opened aromatic ring are expected to behave as a highly unsaturated
diolefin with correspondingly high rates of reaction with 0- and NO.,.
We have retained, at least temporarily, the convention of treating
aromatic bonds as three double bonds. We assume that the ring in toluene,
like most other hydrocarbons, reacts initially with OH*. We speculate
that the reaction proceeds as follows:
Toluene + OH- -> HC^ + Cresol ,
Cresol + OH' •* HO^ + Z
where Z represents (or will lead to the production of) reactive, ring-
opened species. The sum of these reactions is
Toluene + 20H- •»• 2HO£ + Z
These reactions are represented in the CBM by two reactions involving
ARO (a two-carbon-atom species):
ARO + OH- + H02 + Y
ARO + OH- -» OH- + Y
226
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The former reaction is given a rate constant twice as large as the latter
so that their sum,
3ARO + 20H- + 2HO;, + 3Y
corresponds to the sum of the two reactions discussed above. Hence three
AROs represent a toluene molecule. (The methyl group in toluene is
treated separately as PAR in the CBM). The three Ys are a surrogate for
the unknown, reactive species Z. We treated Y as a species capable of
reacting with NO to effect an NO-to-NC^ conversion, similar to the inter-
mediate species XI, X2, X3, and X4 described by Hendry et al. (1978).
Y + NO + N02 + HCHO + PAR
This arrangement provides somewhat greater parametric flexibility in esti-
mating the average number of NO-to-NCL conversions before the atoms in the
aromatic molecule enter the carbonyl pool in the Carbon-Bond Mechanism.
Other reactions involving the ring-opened species Y represent an electro-
phi lie addition to a highly unsaturated double bond:
Y + 03 ->• Aldehydes + Organic Acids ,
Y + N03 •*• Aldehydes + Nitric Acid
Similar reactions appear to be responsible for the restriction of ozone
formation noted in the UCR toluene experiments. Note that the reaction
of Y with 0- is no longer taken to be a radical source, but rather an
03 sink.
Y reacts in three different ways, and the ratios of the rate constants
for the three reactions determine the behavior of the system. Using the
averages of the reaction rates for the reactions of 03 and N03 with 2,3-
dimethyl-2-butene and 2-methyl-2-butene (Japar and Niki, 1975), we found
that the rate constant for the reaction of Y with NO that provided good
simulations was quite low--only 20 ppm min .
227
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SIMULATIONS USING THE NEW CBM
The new version of the CBM was used to simulate a series of experi-
ments for which explicit simulations were available. The results of these
simulations are presented in the appendix. In each case, the results
should be compared with the corresponding simulation using the explicit
mechanism. A sample CBM simulation for a four-olefin mix (EC-152) is
shown in Figure 60. Table 35 lists initial conditions for the simulations
of this series of experiments using the new CBM. Table 36 summarizes the
results of most of the simulations. The results of simulations of toluene
experiments are not reported because the aromatic oxidation mechanism is
in a state of flux. Graphs of simulated and observed pollutant concentra-
tions for all experiments are given in Volume 2.
The derivation of the initial conditions presented in Table 35 is
described in detail here to provide some examples in the use of the CBM
> Formaldehyde--The explicit and CBM mechanisms in this case
are identical except for the elimination of MONO and \\J^>2
in the CBM. The parameters a and A are set equal to 1.0,
although the latter is meaningless for formaldehyde systems
because no single-bonded carbon atoms are present.
> Acetaldehyde--The methyl group is considered as a single-
bonded species, so the initial PAR and CARB concentrations
are each equal to the actual measured acetaldehyde concen-
tration. Since some formaldehyde forms in this system a
was set to 0.1 (during the explicit simulations formaldehyde
varied from zero to 30 percent of the total aldehyde concen-
tration). The definition of A does not apply to acetaldehyde
and so A was set to 1.0. The experiments (EC-253 and EC-254)
contained trace quantities of butane in order to monitor
the OH- concentration. In the CBM simulation butane was not
treated as PAR. Instead, in both the explicit and CBM simu-
lations the reaction BUT + OH* -»• was added with a rate
228
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229
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constant of 4200 ppm" nrin" , and the products of butane
oxidation were ignored. (Butane constituted roughly 1 per-
gent of the initial hydrocarbon.) The default rate constant
for PAR + OH of 1500 ppm" min" , discussed earlier in this
section, was used in the CBM simulations.
> Ethylene--As for formaldehyde, the CBM and the explicit mech-
anism are virtually identical. The parameters a and A are
both 1.0. The only real differences in chemistry are a minor
pathway to acetaldehyde production and HONO, hUOp. and 0( D)
chemistry, which appear only in the explicit mechanism. Trace
amounts of acetaldehyde were reported by UCR, which accounts
for the minor initial concentrations of PAR listed in Table 35.
> Propylene--The initial concentrations of PAR and OLE were
set equal to the initial propylene concentration used in
the explicit propylene simulations. Where minor amounts
of initial aldehydes were reported by UCR, small additions
to the initial concentrations of PAR and CARB were made for
the CBM simulations. The parameter a was set at 0.5 and
again A was set to 1.0, since it does not apply.
> Butane—To model butane with the CBM we needed to determine
a and A plus the rate constant for the reaction of alkylperoxy
radicals with nitric oxide to produce nitrates relative to the
total rate constant. The initial PAR concentration was simply
four times the molecular concentration used in the explicit
simulations.
The value of a used was 0.5 because in the explicit simulations
the sum of formaldehyde and ketones was typically about one-
half of the total simulated carbonyl concentration. A is the
average number of RO^-type radicals generated following an
OH- oxidation unitl an HO^ is formed (counting only the R0«
235
-------
reactions with NO which form N02). For the butane explicit
mechanism A = 1.32, which is calculated as follows: The initial
OH- attack gives two RO^-type radicals (SCO:, and C-Op in a six-
to-one ratio. SCOx forms a secondary alkoxyl radical (SCO-)
after reaction with NO. One-fourth of the SCO- produces another
R0~ (plus acetaldehyde) via decomposition and three-fourths
produces H0£ (plus methylethylketone). The average number of
RO^-type radicals from butane by the SCO^ pathway is [(1/4) x 2 +
(3/4) x 1 = 1.25]. C40£ produces C40- after reaction with NO.
C.O- then reacts to produce an RO^ via OH- migration and an
HO;, (plus butyraldehyde) in a 20-to-7 ratio. The average number
of RO^-type radicals for the C40£ pathway is 1.74 [(20 x 2 + 7 x I)/
27 = 1.74]. Since the ratio of SCOx to C.Op production is six,
the overall average A for butane is 1.32 [(6 x 1.25 + 1 x 1.74)/
7 = 1.32].
Comparison of CBM simulations with the simulations using
the current explicit chemistry is not straightforward.
As discussed in Section 5, the explicit butane mechanism
uses a rather high photolysis rate constant for the major
oxidation product of butane, methylethylketone. Further-
more, one of the products of that photolysis is taken to
be the peroxyacetyl radical. (The CBM equivalent would
be AGO.,, which is not presently a product of carbonyl
photolysis in the CBM.) Besides the higher PAN concentra-
tion that this type of radical provides in the explicit
chemistry, its reaction with NO provides one more NO-to-
NOo conversion than an RO^-type radical provides. Hence
there is some extra reactivity in the explicit mechanism
that has no direct counterpart in the CBM at present. As
interim measures, we investigated two possible means of pro-
viding this extra reactivity.
236
-------
One means is the use of the default PAR + OH- rate constant
(1500 ppm" min~ ), rather than one-fourth of the actual
butane + OH- rate constant (4200/4 = 1050 ppm^min"1). The
simulations shown in this report use 1500 ppm" min" . It
is partially justified by the formulation of the CBM, in
which single-bonded carbon atoms react independently. In
the explicit chemistry, a four-carbon species reacts to
yield primarily methylethylketone (MEK). The secondary
single bonds in MEK have a rate constant for reaction with
OH- of 4900 ppnf min" . Since the CBM conceptually keeps
these single-bonded carbon atoms in the PAR pool, a rate
constant of 1050 ppm" min" for all PARs would be too low.
The other means of providing the extra reactivity is the
use of the default value of A (1.5) rather than the value
computed from the explicit mechanism (1.32). With the
default value of A the lower PAR + OH* rate constant, 1050
ppm" min" , is used. This method of providing the extra
reactivity might be justified on the grounds that it does
not require knowledge of an explicit mechanism (which may
be erroneous) and it is certainly straightforward and
simple. However, the good agreement between the simula-
tions with the default value of A and the measurements
may merely be fortuitous.
l-Butene--The CBM simulation of this molecule is a simple
extension of the propylene simulations. The OLE + OH«
rate constant was set equal to the value used in the
explicit mechanism for 1-butene (70,000 ppm" min" ). The
a and A values were the same as used for propylene, 0.5
and 1.0. The initial PAR concentration for 1-butene is
twice the molecular concentration because two single-
bonded atoms are contained in the molecule.
237
-------
> Trans-2-butene—The CBM was applied in two different ways
to the single trans-2-butene experiment (EC-146). The
internal double bond was treated in one case as an olefin
and in the other as two carbonyls. (In the explicit
simulations trans-2-butene reacts rapidly to generate
two molecules of acetaldehyde.) In both cases the two
single-bonded carbons were treated as PAR. In treating
trans-2-butene as an olefin we used the same rate constants
used for 1-butene, except that the rate constants for the
reactions of CLE with 0, OH-, and 0., were set equal to those
used in the explicit trans-2-butene mechanism (28,000, 120,000,
and 0.39 ppm~ min~ , respectively). The value of c< used in
both cases was 0.2 because in the explicit simulations form-
aldehyde made up from zero to forty percent of the total
carbonyls. The choice of a does not seriously affect the
simulated ozone concentration, but it does affect the PAN
results.
> 2,3-Dimethylbutane--The simulation of EC-169 used an a of 0.5
and an A of 2.0; the derivation of latter value was pre-
sented earlier. Using the default value for a is somewhat
arbitrary because the dominant carbonyl compound produced
in the present explicit mechanism is acetone. Most of the
PAN produced in the explicit simulation stems from acetone
photolysis, but such a pathway does not exist in the present
CBM. The PAR + OH- rate constant used was the default value
of 1500 ppm" min" , as was used for the butane simulations
just described. An important reaction In the CBM simulation
of 2,3-dimethylbutane is nitrate formation from peroxy
radicals, which was given a rate constant of 1000 ppm" min"
to match the nitrate production in the explicit simulation.
> Propylene/Butane--In this application of the CBM we combined
the parameters used for propylene and for butane. The initial
238
-------
concentration for PAR was four times the molecular concentra-
tion of butane plus the molecular concentration of propylene.
Since the PAR + OH- rate constant used in simulations of both
species was 1500 ppnf min" , the combination presents no problems.
Similarly, 0.5 was used for a in the separate systems and in the
combination. To determine a "proper" value for A seems some-
what complex. However, the introduction of the RAO'2 radicals
into the new formulation of the CBM to account for the special
addition product of OH- to olefins eliminated a major source
of the surrogate RO^ radicals in the original CBM. This change
in chemistry tends to separate the overall olefin chemistry from
the paraffin chemistry with respect to RO^-type radicals. Hence
we chose a value of A equal to 1.25, which is near the value
for butane of 1.32. Similarly, the rate constant for nitrate
production was set at 800 ppm~ min" (somewhat less than the
value for butane of 1000 ppm" min" ).
> Multiolefins--The initial conditions for the simulations of
four olefins were determined by treating ethylene separately,
trans-2-butene as two carbonyls and two PARs per molecule, and
1-butene and propylene as one OLE and two PARs and one OLE
and one PAR, respectively. Since both 1-butene and propylene
were treated as OLE, the OLE + OH- rate constants used were
4 -1 -1
the weighted root-mean-square values of 6.2 x 10 ppm min
4 -1 -1
for EC-152 and 6.6 x 10 ppm min for EC-153. The parameters
a and A were set at 0.5 and 1.0. The default value of a was
used because it should be appropriate for mixtures. The value
of A does not matter because no aliphatic chains greater than
two carbon atoms are present. The absence of long aliphatic
chains is also the reason that the rate constant for nitrate
formation from R0£ + NO reactions was set to only 100 ppm" min"1.
A CBM simulation of an experiment with a four-olefin mix is
shown in Figure 60.
239
-------
> Toluene—The aromatics mechanism was in a rapid state of develop-
ment as this report was written. Therefore the simulations
of the UCR toluene experiments represent a sampling of current
progress rather than a final demonstration of the mechanism.
Slightly different versions of the CBM were used for the toluene
and the seven-hydrocarbon simulations. The mechanism for the
latter is shown in Table 34. For toluene the total ARO + OH-
rate constant was 8000 ppm" min" , of which 5000 ppm" min~ then
reacted to produce HOX. The rate constant used for NO + Y ->
-1 -1
N00 + 2 x CARB in the toluene simulations was 20 ppm min .
2 4
For the Y + NO-, reaction the rate constant used was 2.5 x 10
'min"1 with the products being HN03 + CARB. For the
Y + 00 reaction the rate constant used was 2 ppm" min"
with the product being 0.5 x CARB. An additional reaction,
Y + 0 ->• ACOi + ME09, was included with a rate constant of
5-1 i
6.0 x 10 ppm min"1.
The aromatic mechanism was tested using some toluene data from
UCR. Rather high photolysis rate constants were required to
obtain the agreement shown in the appendix (Volume 2). Figure 61
shows the simulation results for EC-80. Further work on the
aromatic mechanism is under way to allow similar photolysis rate
constants to be used for the carbonyls formed from aromatics
and those formed from olefins and paraffins.
> Seven Hydrocarbon Mixes—Each of the 11 smog chamber experi-
ments used the same hydrocarbons: ethylene, propylene, trans-
2-butene, butane, 2,3-dimethylbutane, toluene, and xylene.
Three basic mixes were used: an intermediate mix intended to
resemble an urban mix; a mix high in paraffins but low in
aromatics; and a mix low in paraffins but high in aromatics.
Tables 37 and 38 summarize the initial conditions used in
the simulations. In all simulations a and A were set at the
default values we recommend for hydrocarbon mixes, namely
0.5 and 1.5. The only rate constant varied over the eleven
240
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300 350 400
Figure 61. Simulation Results of a UCR Toluene Experiment (EC-80)
with the Carbon-Bond Mechanism
241
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experiments was for nitrate formation via the ROX + NO
reaction. For the high paraffin mix (EC-232, EC-233, and
EC-246) a value of 1000 ppm" min" was used, but in the other
e'ight simulations a value of 500 ppm" min" was used.
Initial values for the CBM species were determined as follows:
Ethylene was treated as ethylene, OLE was set equal to the
reported molecular propylene concentration, CARB was twice
the reported molecular concentration of trans-2-butene plus
any reported initial carbonyls, and PAR was the sum of four
times the reported butane concentration, six times the
reported 2,3-dimethyl butane concentration, the reported
propylene concentration, twice the trans-2-butane concentra-
tion, the toluene concentration, and twice the xylene concen-
tration. ARO was three times the molecular concentrations
of toluene and xylene. The only rate constant involving the
initial hydrocarbons that had to be determined was for ARO +
4 -1 -1
OH-, for which a value of 2.4 x 10 ppm min was used.
This value is approximately the weighted root-mean-square
between the rate constants for the reactions of m-xylene
and toluene with OH-. The ARO + OH* reaction, as discussed
above, was assumed to yield H0| approximately two-thirds
of the time.
A photolysis compatibility problem is demonstrated in the
simulations of mixtures containing seven hydrocarbons. As
shown in Table 38, we had to use almost twice the calculated
aldehyde photolysis rate constant for the four high-aromatic
experiments. Figures 62 and 63 show sample simulations of
low aromatic concentrations (EC-233) and high aromatic con-
centrations (EC-245). Table 36 shows the one-hour-average
N02 and 03 maxima.
245
-------
Q.
Q.
LU
O.Mr
OU30
0.20
0.10
0.00
SO 100
150 200 250
TIME, minutes
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300 350 400
0.100
0.075
0.050
Q-
O.
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g 0.025
0.000
SO 100 150 200 250
TIME, minutes
(b) PAN, N02, and NO
300 350 400
Figure 62. Simulation results of a UCR seven-hydrocarbon
experiment (EC-233) with the Carbon-Bond
Mechanism (low aromatic mixture)
246
-------
0.045
CL
Q.
0.030
LU
g 0.015
0.000
50 100 150 200 250
TIME, minutes
(c) Olefins
300
350
400
a.
CL
9.00
6.00
7.00
LU
O
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<-> 6.00
5.00
50 100 ISO 200 250
TIME, minutes
(d) Paraffins
Figure 62 (Continued)
300
350
400
247
-------
0.20
0.15
0.10
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TIME, minutes
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0.48
E 0.96
o.
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a:
8 0.12
0.00
50 100 150 ZOO 250
TIME, minutes
(f) Formaldehyde
Figure 62 (Continued)
300 350 400
248
-------
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LU
O
O
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_j i
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J i
150 200 250
TIME, minutes
(g) Ethylene
300 350 400
Figure 62 (Concluded)
249
-------
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0.00.
100
150 ZOO 250
TIME, minutes
(a) N02, NO, and 0
300
350
400
o.oo.
50
100
ISO 200 250
TIME, minutes
(b) PAN
300
350
400
Figure 63. Simulation results of a UCR seven-hydrocarbon
experiment (EC-245) with the Carbon-Bond
Mechanism (high aromatic mixture)
250
-------
0.12
E 0.09
Q.
CX
0.06
UJ
o
S 0.03
0.00
50 100 ISO 200 250
TIME, minutes
(c) Olefins
300
350
400
4.80
E 4.20
Q.
Q.
3.60
S 3.00
2.40
50 100 ISC 200 250
TIME, minutes
(d) Paraffins
300
350
400
Figure 63 (Continued)
251
-------
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Q.
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J.50
< 1.001
OL
0.501
o.ooj
50 100 150 ZOO 250
TIME, minutes
(e) Aromatics
300 350
400
2.00rv
0.501
0.00'
50 100 150 200 250
TIME, minutes
(f) Ethylene
Figure 63 (Continued)
300 350
400
252
-------
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E 1.20
Q.
Q.
0.80
o
S 0.40
0.00
0 50 100
150 200 250
TIME, minutes
(g) Formaldehyde
300 350 400
Figure 63 (Concluded)
253
-------
SECTION 7
SIMULATION OF PROPYLENE/NOX EXPERIMENTS
IN SEVERAL SMOG CHAMBERS
INTRODUCTION
A major part of the current contract calls for studying the simulations
of similar propylene/NO experiments performed in different smog chambers.
A
The reasons for such a study are twofold:
> To elucidate chamber effects.
> To expand the data base used to validate explicit and
generalized kinetic mechanisms.
As defined here, chamber effects include any effect that would produce
different results from similar experiments in different smog chambers or
from a hypothetical well-mixed air parcel in the open air compared with
a smog chamber.
Although the study will continue for another year, the results at this
time indicate four areas of chamber effects: analytical, wall, temperature,
and lighting. The analytical effects lead to experimental uncertainties
rather than to the difference between smog formation in chambers compared
with the open atmosphere. Such effects would be common to virtually any
comparison of similar experiments performed using different equipment. How-
ever, these effects are discussed because the uncertainties in the measure-
ments are often large enough to mask the other differences among smog chambers
Wall effects may be the most commonly considered type of chamber effects.
Indeed, one might argue that wall effects constitute the only real difference
between a smog chamber and the open atmosphere (at least for small, well-
mixed air parcels). However, the preliminary findings of the present study
254
-------
indicate that wall effects play only a minor role in most smog chamber
experiments. Refinement of kinetic mechanisms has greatly reduced the need
to hypothesize radical sources or sinks on chamber walls to obtain simula-
tions in "agreement with measurements.
The latest mechanisms show a very high sensitivity to spectral distri-
bution (Whitten and Hogo, 1977). Hence, application of these mechanisms
to the atmosphere or to various chambers requires a careful assessment of the
spectral distribution. Although present kinetic mechanisms are highly sen-
sitive to spectral effects, they do not respond to changes in temperature
adequately enough to simulate similar smog chamber experiments performed
at different temperatures. A case can still be made that wall effects
explain some of the temperature effects. Lowering the wall temperature might
condense radicals or aldehydes, thereby slowing smog formation, and raising
the temperature might condense fewer radicals or aldehydes. A higher tem-
perature might also cause radical precursors such as aldehydes form previous
experiments to "boil off" the walls and to accelerate smog formation.
If chamber effects can be elucidated sufficiently, the expanded data
base to be used for developing and validating smog mechanisms will provide
a more rational basis for acceptance of generalized mechanisms for modeling
the atmosphere. In Section 3 we described the overall mechanism as composed
of four stages: inorganics, single-carbon-atom species, higher aldehydes
and other partially oxidized hydrocarbons, and initial hydrocarbons—paraffins,
olefins, and aromatics. Presumably, the chamber effects would mostly be
common to the hierarchical levels below hydrocarbons. Hence, the study of
chamber effects for propylene/NO experiments should be applicable to smog
/\
chamber experiments using other initial hydrocarbons. Of course, hydrocarbon-
specific chamber effects may occur; an example is toluene since poor account-
ing for carbon mass is common to smog chamber experiments using toluene.
DEVELOPMENT OF A DATA BASE
Several factors must be considered in the development of a data base
for the chamber effects study:
255
-------
Initial pollutant concentration
- [CH^ - 10
- [NO 1 <. 2 ppm.
- A
- Data from experiments at many different initial concen-
trations should be supplied if possible.
Light source
- Type (e.g., blacklights or xenon arc).
- Spectrum (preferably measured—otherwise manufacturer's
specifications).
- Intensity in chamber (k,, k., or other photometric
measurements, including the most recent measurement
reported before each experiment).
- Age of light sources before each experiment (average age
and spread in ages for multiple sources).
- Operating temperatures of fluorescent light sources.
Analytical methods
- Listing of instrumentation used for the actual experiments
reported.
- User's estimates of accuracy in the measurements.
- Corrections applied for interferences with measurement
methods, if any.
- Documentation of the most recent calibration before each
experiment, the calibration method, the number of points
on the calibration curve, and the concentration at each
calibration point.
Chamber cleaning and seasoning
- Method of cleaning.
- Deliberate seasoning method, if any.
- Number and general type of experiments since the last
cleaning (to evaluate the possible action of the walls
as contaminant sources).
- Most recent "light" and "dark" ozone decay data before
each experiment.
256
-------
> Mixing time (should be determined with lights on if
possible—otherwise, use mixing data without lights).
> Chemical data (data for all chemical species measured
during each experiment, preferably in tabulated form,
or else graphical presentations).
> Miscellaneous data (variations during the run when
known—otherwise use of chamber operating temperatures,
humidity (RH or dewpoint), and dilution rate).
One of the decision factors in the choice of the data base is the
availability of the data. Much of the data were reported in graphical
form, and chamber characteristics were often obscure. Furthermore, uncer-
tainty ranges were not reported for some of the chamber runs. The following
runs were chosen based on availability and the other factors mentioned above:
> UCR-EC (Runs 121, 177).
> UNC (runs performed on 9 August 1975, 5 November 1976,
and 8 August 1977).
> Research Triangle Institute (RTI) (runs performed on
11 October 1976).
> Battelle (S-019, S-114, S-115).
> National Air Pollution Control Administration (NAPCA)
(156, 164, 172).
> UCR-AGC (runs performed on 24 February 1973 and
5 March 1973).
> CALSPAN (11, 15, 16).
> Lockheed (40, 41, 42, 43).
Of the eight facilities listed above, UCR provided the most detailed
discussion of experimental conditions. The 5775-liter UCR chamber is an
evacuable cylinder (EC) coated with FEP Teflon 3.66 m long and 1.37 m in diameter.
There are quartz windows on each end of the chamber. The surface-to-volume
ratio is 0.054 cnf . The irradiation source is a xenon short arc lamp
257
-------
that uses 25 kilowatts (Pitts et al., 1977). Two repeated runs (EC-121
and EC-177) were chosen from nine UCR runs with the same initial concen-
trations because the uncertainty of the reported light intensities seemed
to be the" lowest for those experiments. (The light source had been
replaced just before each of those experiments.) Sampling techniques
should be more certain in those runs than in earlier runs, mainly because
of the experience gained from previous experiments.
The University of North Carolina and Research Triangle Institute both
have outdoor smog chamber facilities. The UNC facility consists of two
compartments (red side and blue side), so that two experiments can be per-
formed simultaneously. Each side is an A-shape frame (9.14 m wide, 6.1 m
high at the peak, and 12.19 m long) with walls made of FEP Teflon film
(Jeffries, Fox, and Kamens, 1975). The volume of the chamber is 3.1 x 10
liters. The surface-to-volume ratio is 0.013 cm" . Of the alternatives
for which detailed data were available, five are propylene/NO experiments.
X
One set of experiments, performed on 16 August 1975, had continuous injection
of propylene and NO in the blue side of the facility but not the red side.
This set of experiments will be investigated in the coming year. For the
current study, we chose four experiments (one on 9 August 1975, two on
5 November 1976, and one on 8 August 1977) as part of the data base for the
chamber effects study. The use of natural sunlight as the irradiation source
increases the need for spectral measurements of the sunlight during the day.
Jeffries, Fox, and Kamens (1975) reported an empirical relationship between
the N02 photolysis rate and the total solar radiation. From the total solar
radiation measurements by UNC for the days of the experiments, we were able
to estimate the N0~ photolysis rate constant and all other photolysis rate
constants required in the propylene/NO kinetic mechanism.
A
The RTI facility is similar to the UNC facility. RTI has four separate
chambers that allow four experiments to be carried out simultaneously. The
surface-to-volume ratio for each chamber is 0.019 cm" . We received data
on two sets of four experiments performed at RTI on 6 October and 11 October
1976. These experiments were carried out for 35 hours. The data from
258
-------
experiments on 6 October 1976 are questionable because a correction factor
for the ozone measurements was needed to compensate for insufficient sample
flow rates. In the set of experiments performed on 11 October 1976, no
ozone was formed in Chamber 1. Therefore, only three experiments could be
used as part of the data base for our chamber studies. For the RTI experi-
ments, we assumed the same total solar radiation as for the UNC experiments,
since the facilities are located in the same area.
The Battelle chamber is constructed of aluminum and is Teflon-coated
(Scofield, Levy, and Miller, 1969). The 18,272-liter smog chamber has a
surface-to-volume ratio of 0.026 cm" and is irradiated with fluorescent
blacklights. Data for only three propylene/NO experiments were received
y\
from Battelle. The reported experimental conditions are detailed enough
that we were able to perform simulations of all three experiments, but we
had to assume a blacklight spectrum.
The National Air Pollution Control Administration chamber was a 9500-
liter chamber made of aluminum with Mylar windows (Korth, 1963). It was
irradiated with fluorescent blacklights. Data for six propylene/NO experi-
A
ments performed at NAPCA were available to us. The only intensity spectrum
for the light source available to us was reported by Korth, Rose, and
Stahirvm (1964). The propylene/NO experiments were performed in 1965, one
A
year later. Thus, the uncertainty in the light spectrum is great.
The 6370-liter UCR all-glass chamber (AGC) is made of Pyrex glass and
is similar in size to the evacuable chamber (Pitts et al., 1977). Its
surface-to-volume ratio is 0.0324 cm~ . The glass chamber is irradiated with
fluorescent blacklights. Two runs from the UCR glass chamber were chosen
solely on the basis of data availability. Since the available data were
limited, we had to assume a blacklamp spectrum for these experiments
based on the reported k. value.
The smog chamber at CALSPAN is a cylindrical chamber 9.14 m in
diameter and 9.14 m high, with a surface-to-volume ratio of 0.0066 cm"1
259
-------
(Kocmond et al., 1973). The walls of the chamber are coated with a fluoro-
epoxy urethane having surface energy and reactivity properties similar to
FEP Teflon. The light source consists of 24 lighting modules, each con-
taining two 40-watt sunlamps, eight 85-watt high output blacklamps, and
two 215-watt specially produced blacklamps. The measured N00 decay rate
_1 C-
(k ,) was 0.35 min" .
Of the seven propylene/NO experiments performed at CALSPAN from
/\
21 October 1974 to 3 January 1975, raw data for two experiments (Nos. 15
and 16) were available to us. Initial conditions and concentration versus
time plots were reported for Experiments 11 and 14. Only concentration
versus time profiles were reported for the other three experiments (Nos. 10,
12, and 13). For the computer simulations, we chose Experiments 15 and 16
because of the detailed data on them. We chose Experiment 11 but not
Experiment 14 because a new reactive HC analyzer was used with Experiment 14.
We feel that the errors associated with the use of a new instrument may be
greater in Experiment 14 than the errors associated with an instrument
already used in the earlier Experiment 11.
The 1866-liter hexagonal smog chamber at Lockheed (Jaffe and Last,
1974) is made of six flat side panels with Teflon-coated aluminum frames.
The surface-to-volume ratio varies depending on the material used and the
initial conditions of the experiments; the surface-to-volume was 0.047 cnf
when Teflon was used. The light source in the Lockheed chamber is a xenon
arc lamp with a spectrum reported by Jaffe and Last (1974). Propylene/NO
3\
experiments under various chamber conditions were performed, including
different wall materials, surface-to-volume ratios, and cut spectrum (280
to 350 nm light removed). We chose four experiments (Nos. 40, 41, 42, 43),
all performed with Teflon-coated walls and a surface-to-volume ratio of
0.043 cm. Both conditions are similar to the UCR evacuable chamber. Two
of the Lockheed experiments (Nos. 40 and 41) were performed with a cut
spectrum ranging from 350 to over 500 nm. (The full spectrum ranges from
260
-------
280 nm to over 500 nm.) These experiments provide comparison runs for exam-
ining the effects of aldehyde photolysis and ozone photolysis in the propylene
kinetic mechanism because both photolysis reactions are significant only in
the 280 to 340 nm range.
Thus, the data base tor the chamber study consists of at least two to
three experiments in each of eight smog chambers. For many of the cham-
bers, data were available only for the two or three experiments chosen.
The most important uncertainty in nearly all of these experiments is
the spectrum of the light source. Since we did not have light spectra
for the Battelle, CALSPAN, RTI, and UCR glass chambers, we assumed
representative spectra. Table 39 summarizes the data base for the
chamber study.
THEORETICAL ANALYSIS OF PARTICLE FLOW IN THE SMOG CHAMBER
Before performing computer simulations for each of the experiments
listed above, we investigated theoretical aspects of particle flow in smog
chambers and particle collision frequencies with chamber walls. The pur-
pose of this effort was to develop a deeper understanding of wall effects.
After the effects of chamber geometries and stirring procedures are isolated,
the way will be cleared for investigating the role of light sources and the
chemistry of various reactive intermediates.
We begin by deriving a picture of the transport of materials to the chamber
walls, and then we use this description as a first step in assessing the
relative importance of wall effects on gas-phase chemical reactions.
Ideally, such an assessment would be based on knowledge of an experimentally
determined decay constant for each of the i reacting species. Detailed
measurements of the transport properties (temperature, concentration, and
velocity profiles) would then provide input to some transport description
obtained by complete solution of the coupled equations of continuity,
motion, and energy for the entire system. In practice, these ideal condi-
tions are compromised in one or both of the following ways:
261
-------
TABLE 39. SUMMARY OF DATA BASE FOR CHAMBER EFFECTS STUDY
Chamber
UCR-EC
UNC blue
UNC blue
UNC red
RTI-2
RT1-3
RTI-4
Battelle
NAPCA
Lockheed
CALSPAN
UCR-AGC
Initial concentration (ppm) ,
Run no. "^ — ^ lmin~ 1
or date Propylene NO, *d ' " '
121
177
8/9/76
11/5/76
11/5/76
10/11/76
10/11/76
10/11/76
S-019
S-114
S-115
156
164
172
40
41
42
43
11
15
16
2/23/73
3/5/73
0.483
0.493
0.66
1.15
0.43
0.786
0.421
0.389
1.52
0.95
0.97
2.06
1.85
2.04
3.0
3.0
3.0
3.0
1.0
1.0
1.0
0.52
0.50
0.51
0.463
0.41
0.554
0.526
1.57
0.519
0.468
0.552
0.449
0.525
2.06
0.99
0.99
1.5
1.5
1.5
1.5
0.59
0.50
0.50
0.30
0.255
0.3*
0.33*
Variable
Variable
Variable
Variable
Variable
Variable
0.3*
0.38*
0.38*
0.4
0.4
0.4
0.3
0.3
0.3
0.3
0.35
0.35
0.35
0.35
0.35
Light source
25 kU solar
simulator
25 kW solar
simulator
Sunlight
Sunlight
Sunlight
Sunlight
Sunlight
Sunlight
Blacklight
Blacklight
Blacklight
Blacklight
Blacklight
Blacklight
Xenon arc
Xenon arc
Xenon arc
Xenon arc
Blacklioht
(mainly)
Blacklight
(mainly)
Blackllaht
(mainly)
Blacklight
Blacklight
Chamber
material
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Aluminum and
Teflon
Aluminum and
Teflon
Aluminum and
Teflon
Aluminum and
plastic film
windows
Aluminum and
plastic film
windows
Aluminum and
plastic film
windows
Teflon
Teflon
Teflon
Teflon
Fluoroepoxy
urethane
Fluoroepoxy
urethane
Fluoroepoxy
urethane
Glass
Glass
Surface-to-
volume ratic
(cm'1)
0.034
0.034
0.013
0.013
0.013
0.019
0.019
0.019
0.026
0.026
0.026
--
—
--
0.043
0.043
0.043
0.043
0.0066
0.0066
0.0066
0.0324
0.0324
Ozone measuring
' instrument or
method
Dasibi 1070
Dasibi 1070
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
Chemi luminescent
McMillan 1100
McMillan 1100
McMillan 1100
McMillan 1100
Chemiluminescent
(Bendix 8002)
Chemiluminescent
(Bendix 8002)
Chemiluminescent
(Bendix 8002)
Dasibi 1003
Dasibi 1003
* Value of k, rather than
262
-------
> With few exceptions, no data on the concentrations of
reactive intermediates are available. In particular,
there is a paucity of information on the decay rates
of any individual species in unirradiated chambers.
> The transport properties of most chambers are inade-
quately characterized, especially in terms of temperature
and velocity profiles, to permit input to a sophis-
ticated transport description.
In view of the points above, we devised the hiqhly simplified picture
of transport within chambers described below, which has as inputs quantities
that are either already available or easily measurable. The validation of
this picture for the transport of ozone to the walls and the results of
applying it to the eight smog chambers are discussed later.
Reactant Transport Inside Smog Chambers
The objective of the transport description is to relate the observed
concentration c. of reacting species i to its rate of removal by the cham-
ber walls. The approach consists of assuming the existence of a stagnant
boundary layer of thickness 6 at the chamber walls; since the layer is
associated with the convective motion of the air, 6 depends on the local
air velocity; and consequently, at a distance of 6 or greater from the
wall the velocity component parallel to the wall is assumed to be V ,
co
which is to be determined experimentally or deduced from mixing time
data. Transport to the wall is considered as though the wall were a semi-
infinite flat surface, with the x-direction parallel to the surface. Some
physical grounds exist for this approach (see Figure 64). The solution
for 5(x) (Bird, Stewart, and Lightfoot, 1960) is:
5(x) = 4.64 (vx/V )1/2 , (97)
CO
2 1
where v is the kinematic viscosity of air (taken as 0.15 cm sec ).
263
-------
VELOCITY IN X-DIRECTION = V
BOUNDARY LAYER 6(X)
VELOCITY IN X-DIRECTION AT SURFACE = 0
(a) Boundary layer around a thin, semi-infinite flat surface
BOUNDARY LAYER fi(x)
I I t I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I
SMOG CHAMBER WALL
(b) Boundary layer caused by circulation of air,near the smog
chamber wall
Figure 64. Simplified boundary layers
264
-------
A velocity profile,
\r= 2
(98)
where y is the distance above the plate, was assumed in calculating
the solution above. Computation of 6(x) thus reduces to finding an
expression for x/V^. We chose x to be a characteristic length whose
physical significance is shown in Figure 65. We approximate V by
x'/t .
* /T-mix
(99)
where t . is the mixing time in the chamber and x1 is the length
mix
within which mixing is presumed to occur (i.e., the longest dimension
of the chamber). We set x' = x (Figure 65), yielding
J/2
(100)
where <5 is in cm and t . is in seconds. It is then straightforward to
III I /\
describe the transport and wall reaction of species i by using the coordi
nate system of Figure 66.
SMOG CHAMBER
Figure 65. Characteristic lengths in smog chambers.
Arrows represent air circulation from
convection or stirring.
265
-------
i = ci
z = 0
BOUNDARY
LAYER
V = 0
C. -
I I I I I I I I I I I I I I
Z = 6
Figure 66% Transport to the chamber walls
In the discussion below, we adopt the following notation:
N. = flux of species i in the z-direction, in molecules
1 -2 -1
cm sec ,
_3
c = total gas concentration, in molecules cm ,
c. = local concentration of species i,
c, = concentration of species i for z <_Q, i.e., bulk
concentration,
2 -1
D = diffusion coefficient of species i in air, in cm sec ,
K = rate constant, in sec" , for bulk concentration change
due to wall reaction: dc,/dt = -Kc, *
K1 = rate constant,in cm sec" , for removal of species i
in terms of surface flux,
S = chamber surface area,
V = chamber volume.
A mass balance at steady state gives dN./dz = 0. Differentiating
Eq. (100) and applying the boundary conditions c. = c, at z = 0 and
c. = N.J/K' at z = 6 leads directly to the solution
cD
N. = - ~ - £n f-^-\ ' (101)
1 1 '
Snix
-------
From Eq. (101)» for small c,, we have
DC
1
2
N,« ^ . (102)
t1/
'1/2
If the reaction product is not adsorbed irreversibly but is released
as species j (i.e., if i v^i? j), then N. = -N., and Pick's Law
' J
becomes
+ ' = -D- ' (103)
which upon integration gives Eq. (102) exactly.
Note that N. and c, are related through the surface-to-volume ratio;
Solving for N., substituting into Eq. (102), and solving for K1 gives
w
i/i _, \ mix/
_
where K' is in cm sec . Equation (105) is the desired relation between
K1 and K . Calculation of a few test cases indicates that, for the
chambers listed in Table 40, the mixing time effect contributes a cor-
rection on the order of 20 percent or less to K'; indeed, for the limiting
case where [D/(tmix)1/2] • [S/fVKj] » 1, KW a K'(S/V). Clearly, mixing
times are most important in relatively quiescent chambers.
267
-------
TABLE 40. SURFACE-RELATED OZONE DECAY PARAMETERS FOR SELECTED SMOG CHAMBERS
Chamber
UCR-EC
UNC red
UNC blue
UNC red
UNC blue
RTI 1
RTI 2
RTI 3§ §
RTI 4
RTI 1
RTI 2
RTI 3
RTI 4
Battelle
Date of run
3-12-74
3-12-1',
4-19-/4
4-26-74
5-31-74
5-31-74
6-3-74
6-7-74
7-6-76
7-6/7-76
ll-4-73:
12-6-735
11-4-731
12-6-73*
11-4/5-73-
12-6-737
ll-4/5-73:
12-6-73'
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75**
8-14-75"
8-14-75**
Surface-to-
volume
ratio
Material (cm )
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Tenon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Teflon
Aluminum-
Teflon
Aluminum-
Teflon
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.034
0.013
0.013
0.013
0.013
0.013
J.013
0.013
0.013
0.019
0.019
0.019
0.019
0.019
0.019
0.019
0.019
0.026
0.026
k
w
Lights on (106sec
No 36.4
Yes* 46.6
No 10.1
No 10.3
Yes 46.5
No 28.4
No 19.6
No 17.0
Yes 33.0
No 12.0
Yes 9.4
Yes 11.5
Yes 9.6
Yes 10.0
No 4.0
No 3.1
No 3.8
No 2.6
YesTtt
Yesm
Yesm 19
Yesm
No 8.8
No 7.2
No 8.4
No 6.7
No 27
Yes 55
K' km Km
"') (lO^cmsec"1) (106sec"1) (104cm sec"1 1
14.2
14.8
3.2
3.2
14 7
10.3
6.6
5.7
10.3
3.8
7.18
8.80
7.34
7.65
3.06
2.36
2.9
2.0
(
)
± 10% ) 10
[
4.7
3.8
4.4
3.5
11.0
21.0
..
-
..
..
..
-
..
..
-
..
..
—
..
..
..
..
..
--
..
—
-
--
--
..
..
--
..
..
(continued)
268
-------
TABLE 40 (Concluded)
Surface-to-
volume
ratio
Chamber Date of run Material (cm )
f * OU
Lockheed - °vrex
Aluminum
" -- Aluminum
" -- Pyrex
Pyrex
Teflon
Teflon
Stainless
" -- Stainless
" — Pyrex
Aluminum
" -- Aluminum
" -- Pyrex
" -- Pyrex
Teflon
Teflon
Stainless
Stainless
Mean value*+*
'°°/_i./~~
\mean )
0.047
0.090
0.136
0.090
0.136
0.090
0.136
0.090
0.136
0.047
0.090
0.136
0.090
0.136
0.090
0.136
0.090
0.136
-
--
Lights on
No
No
No
NO
No
No
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
--
w
(106sec"')
26
34
43
32
34
39
33
72
61
64
54
55
42
38
42
57
96
115
37
34
K'
(104cm sec"1)
6.2***
3.8
3.1
3.8
2.4
3.7
2.9
5.3
3.7
14.0
6.0
4.0
4.7
2.8
4.8
4.3
11.0
8.5
34.0
36.0
km "m
(lO^ec"1) (104cm sec"1)
__
7.2
16.0
7.2
5.3
6.2
12.0
34.0
45.0
--
--
--
--
—
—
--
32.0
51.0
77.0
89.0
__
1.7
1.8
1.7
0.6
1.4
1 t.
7.9
5.1
--
—
-.
--
--
-
--
7.4
5.8
2.7
92.0
* 20 kW xenon arc lamp filtered through new Pyrex pane.
+ Run carried out from 1028 to 1404 EST.
1 Run carried out from 1301 to 1501 EST.
,• Run carried out from 2102 to 0500 EST
-. Run carried out from 1901 to 2358 EST
•• Dates not given. Data were taken from an RTI progress report dated 14 August 1975.
«« Natural sunlight through Teflon walls.
§§ Stirring data indicated V. - 800 fps. We used this value and x as the chamber circumference In the
expression « • 4.64(vx/V.)l/2 and used that value of 6 in Eq. (105).
44 Values for the chamber In the presence of inserts fabricated from the materials shown. .
77 Base chamber (empty): KW = Kg.
"• r calculated using the relation KW= K'(S/V).
'" Lockheed chamber only.
269
-------
Validation of the Transport Picture
We calculated first-order light and dark decay constants (K1) for
ozone bas_ed on measured ozone half-lives in the RTI, UCR-EC, UNC, Battelle,
and Lockheed chambers. The results of the calculations are presented
in Table 40. All the light and dark decay constants for ozone were averaged
to generate the statistical information in Table 41.
The main conclusion to be drawn from Table 41 is that standard
deviations amongst the chambers in the apparent rate of ozone decay
(K ) are substantially reduced under both light and dark irradiation
w
conditions when individual chamber geometries (surface-to-volume ratios
and mixing times) are taken into account by calculating K1.
Materials Effects—The Lockheed Data
The runs in the Lockheed chamber (Jaffe and Last, 1974) provide some
opportunity to examine the effects of construction material on the value
of K1. Jaffe and Last obtained ozone decay times under both light and
dark conditions when samples of different materials were inserted into
the chamber shell. An attempt was made to estimate the influence of
materials on ozone decay by assuming all decay processes to be independent
and first order. If KD and 1C are the volume and the surface decay rate
D S3
constants, respectively, for the base chamber, then one can associate
with each construction material the analogous rate constants Km and K^,
where
Km = Kw - KB = K • (106)
and K and K' are the volume and surface decay rate constants, respectively,
m rn
for each of the different materials inserted into the base chamber.
270
-------
TABLE 41. INFLUENCE OF CHAMBER GEOMETRY ON THE ESTIMATION OF
SURFACE-RELATED OZONE DESTRUCTION*
.
Rate
10
10
1
1
0
0
6
4
6
4
X
X
X
X
constant
K,
w
K1,
K ,
w
K1,
light
light
dark
dark
19
9
8
3
Value
.6 ± 10
.6 ±
.1 ±
.9 ±
1
5
1
.8
.8
.3
.1
Coefficient of
deviation"*"
(percent)
55%
18
65
29
* Materials effects are not considered.
t Coefficients of deviation (i.e., standard deviation
value) are expressed as percentages of mean values.
v mean
Clearly, the effectiveness of this type of analysis is greatest when
K » K' . However, as the data in Table 40 show, the K 's for the Lock-
rn D ni
heed chamber are generally less than 1C; moreover, the dark decay data
of Table 40 show anomalous values for Pyrex and stainless steel. In the
runs with lower surface-to-volume ratios, ozone was apparently destroyed
more rapidly than in the runs with higher surface-to-volume ratios, which
would imply negative K 's. In addition, during photolysis, ozone was
removed less rapidly in the presence of material other than Pyrex. Ozone
was removed more rapidly in the presence of stainless steel than in the
presence of Pyrex. As a consequence, it was generally impossible to
associate surface rate constants with different materials during irradia-
tions of ozone in the Lockheed chamber. In the dark, values of K' were
in good agreement for Teflon and for aluminum, but not for Pyrex or stain-
less steel. (For a given material, values of K' in the light and dark
should be identical.) Thus, from the Lockheed chamber data, the following
conclusions can be drawn:
271
-------
> The effects of chamber geometry are outweighed by the
effects of different materials. Note that no improve-
ment in the coefficient of deviation resulted when surface
ozone decay rates were expressed in terms of K' rather
than K or in terms of K' rather than K .
> Surface-related effects for Pyrex and for stainless steel
were possibly dominated by history-dependent phenomena,
in view of the decrease in K1 and (for dark reactions)
K' with increasing surface-to-volume ratio. For stainless
steel, K1 was little affected whether the light source was
ill
on or off, suggesting that surface effects may have been
associated more with changes in surface reactivity than
with contamination found on the sample materials.
> Tne apparent lack of dependence of K^ on area for aluminum
and for Teflon raises the possibility that geometric effects
in chambers constructed of these materials could be part-
ially accounted for by simple corrections for the surface-
to- volume ratios for mixing time.
Wall Reactions of Species Other Than Ozone
Upper limits were estimated for the removal of species other than
ozone at the walls of the UCR chamber* by using the expression:
where K i is the rate constant for removal of species i at the wall, DI
is the diffusion coefficient of species i in air, and the rest of the terms
are as defined earlier. The reliability of these constants depends primarily
on the choice of D. and t . ; D. was usually estimated by using Graham's law
I nil X 1
* The UCR chamber was chosen for simulation only because of our previous
experience with an explicit propylene mechanism tested with smog chamber
data from that facility. No conclusion regarding the actual reactivity
of the UCR chamber walls should be inferred from this study. In fact,
Eq. (107) is based on the assumption of an infinitely reactive surface.
272
-------
and measured diffusion coefficients for gases of similar molecular weight.
More refined estimates would have to be based on Lennard-Jones parameters,
which might be obtained from viscosity data or critical point data, neither
of which seem to be available for reactive intermediates. We believe that
1/2
the accuracy limits are governed by the uncertainty in the use of (t . )
as an approximation to the boundary layer thickness. [We point out here
1 /o
that the dimension of the expression (tmip) ' is centimeters; strictly
speaking the boundary layer thickness 6 should be expressed as 6 = C(tmi-n)l/2,
where C is a proportionality constant having a value of unity when 6 and
t . are expressed in cgs units.]
Table 42 gives the species examined and their rate constants. Figures
67, 68, and 69 show the influence of the reactions that affected the
concentrations of 03, NOos and propylene, respectively. Under the initial
conditions chosen, wall reactions of OH-, 0 atoms, N03, and RCOX had no
effect on the concentrations of the three species examined; all three, however,
were sensitive to HONO. The propylene simulations were unaffected by ozone-
wall reactions, even though the maximum possible rate of ozone loss to the
walls was sufficient to suppress completely the buildup of ozone. We empha-
size that the simulations above are valid only for the initial conditions
chosen; they should not be extended to other systems.
RESULTS OF THE CHAMBER EFFECTS STUDIES
Much of the work for the eight different chambers listed above was done
with the explicit kinetic mechanism for propylene discussed in Section 5
of this report.
Results of the Study of the UCR Experiments
The simulation results of the propylene experiments are discussed earlier
(see Section 5). In this section, we summarize some of the conclusions
reached from investigation of UCR Runs EC-121 and EC-177.
Although the light source was replaced just before each of these runs,
we found that even using a higher than calculated photolysis rate constant
273
-------
TABLE 42. MAXIMUM RATE CONSTANTS FOR HYPOTHETICAL
WALL REACTIONS IN THE UCR CHAMBER
Species Kw^min '
CH3CH(02)CHOH
ti0'2
0
HONO
N03
PAN
CH3°2
Ozonide
CH3C(0)0;>
OH-
O
0.47
1.4
2.2
0.71
0.54
0.18
1.2
0.3
0.84
2.2
0.62
274
-------
o.to
0.45
BASE CASE
HOMO
PAN, CH, OZONIDE
a 0.30
0.15
50
100 150 ZOO 250 300
TIME, minutes
350
400
Figure 67. Maximum influence of wall reactions on ozone
concentrations during the NO/propylene irradia-
tions. Curves represent the simulated ozone
concentrations when species shown are presumed
to react with walls at the maximum rate con-
stants given in Table 42.
275
-------
o.«r
0.45
BASE CASE
MONO
HOj
0.30 -
0.15
SO
100
150
200
TIME, minutes
ZSO
300
ISO
400
Figure 68. Maximum influence of wall reactions on N02 concentrations
during the simulated NO/propylene irradiations. An
initial MONO concentration of 30 ppb was assumed. Curves
represent simulated N02 concentrations when species shown
are presumed to react with walls at the maximum rate
constants given in Table 42.
276
-------
0.60
BASE CASE
MONO
0.45
£ 0.30
\
0.15
50
100
150
ZOO
TIME, minutes
250
300
350
400
Figure 69. Maximum influence of wall reactions on propylene concentrations
during the NO/propylene irradiations. Curves represent the
propylene simulated concentrations when species shown are
presumed to react with walls at the maximum rate constants
given in Table 42.
277
-------
we were not able to follow the propylene decay; thus, the ozone behavior was
overpredicted. We chose EC-121 and EC-177 for this study because the
reported light spectrum should be accurate, and deterioration effects
would not have occurred. Yet, there may be some problems in the data
documentation because we can simulate the propylene decay much better in
other UCR propylene experiments with the same initial conditions. In
future studies of the UCR experiments, we will investigate the possible
chemical reactions that may affect the propylene decay and the effect of
chamber cleaning on some of the UCR experiments. Prior to the EC-121
experiment, the UCR chamber was cleaned by "boiling off" any chemical
species that may have adsorbed onto the walls. If the chamber was not
"seasoned" after this cleaning period, then ozone or other species may have
been affected more in EC-121 than in other UCR experiments.
Results of the Study of the UNC Outdoor Smog Chamber
The second chamber investigated was the outdoor smog chamber at the
University of North Carolina. The main differences between this chamber
and the UCR evacuable chamber are the natural irradiation and the tempera-
ture in the UNC chamber. The physical characteristics and operating condi-
tions of the chamber were discussed by Jeffries, Fox, and Kamens (1975).
Of the reactions listed in Table 1 (see Section 4), only two reactions
(besides the photolysis reactions) are important in chamber effects studies:
(1) 03 +wall and (2) N2C>5 + H20. Jeffries, Fox, and Kamens (1975) found
that the nighttime Cu loss rate in the UNC chamber yielded an 0, half-life
between 48 and 70 hours. We estimate the rate constant for the 00 ->• wall
-4 -1
reaction to be approximately 2.2 x 10 min .
Jeffries, Fox, and Kamens (1975) also reported a rate constant of
5.6 x 10" ppnf min" for the N90r + H,.0 reaction. This value is a factor
-6-1 -1
of 9 lower than the value of 5 x 10 ppm min used in the UCR chamber
simulations described in Section 5. Since effects of the N205 + h^O reaction
tend to occur after the N02 peak and since the UNC NOp measurements do not
include PAN separately, we were not able to derive a better estimate
278
-------
of the rate of the N?0r + H?0 reaction in the UNC chamber. We tentatively
subtracted the simulated concentration of PAN from the measured N0? con-
centration to obtain an estimate of the actual NCL concentration and, hence,
the effects of the Np05 + hLO reaction.
Figure 70 shows a typical solar radiation profile for the UNC experi-
ments. The chamber experiments begin early in the morning (usually before
sunrise). The speed of the overall chemistry increases slowly as the sun
rises and then begins to decrease in the afternoon as the sun starts to
set. In constant-light experiments, the speed also varies as propylene
is consumed. Thus, the combination of light-induced acceleration and
chemically induced acceleration can test the mechanism in a novel manner.
We incorporated a variable radiation and temperature algorithm into our
kinetic program using a simple linear interpolation scheme.
The run of 9 August 1975 was affected by clouds, causing "choppiness"
in the solar radiation profile. Jeffries, Fox, and Kamens (1976) sug-
gested that the "choppiness" may cause an increase in 0., production.
Their conclusions were based on experiments with the same initial concen-
trations of hydrocarbons and NO performed on two consecutive days: a
X
clear sunny day and a partly cloudy day. More 0- was measured in the
chamber on the partly cloudy day.
We performed three simulations of the 9 August 1975 run varying only
the "choppiness" of the solar radiation profile. In these simulations we
used the propylene mechanism presented by Whitten and Hogo (1977). Figures
71 and 72 show the solar radiation profiles used. Curve 1 in Figure 71
represents our estimate of the solar radiation profile on a clear day. Curve
2 was estimated by averaging through the peaks in the observed solar radia-
tion profile. Figures 72(a) and 72(b) show solar radiation profiles based
on input data every 15 minutes and every 5 minutes. Figure 72(b) is the
closest representation of the solar radiation profile presented in Figure 70.
Computer simulations with these four profiles show the same results for
oxidant formation (Figure 73), except for Curve 1. Thus, our old mechan-
ism does not show any effect due to "choppiness" at 5-minute or 15-minute
intervals.
279
-------
2.Or
-§—'—rtr
HOURS, EOT
Source: Jeffries (1976).
Figure 70. Observed diurnal variation in solar intensity at the UNC
chamber on 9 August 1975
280
-------
10 K 12 13 14 15
15 i7
Figure 71. Approximations to the observed solar intensity at UNC
on 9 August 1975
281
-------
on. inn.
27" 3(.n, 460.
TIME, minutes
G40. MO. 720.
(a) 15~minutes intervals
Figure 72. Calculated diurnal variation of the N0£ photolysis rate
constant (k,) in the UNC chamber on 9 August 1975
282
-------
0.60*
I
I
inn. 2TO. 0*0, 450.
TIME, minutes
MA. »:in. 730.
(b) 5-minute intervals
Figure 72 (Concluded)
283
-------
U CURVt 1
15-MINUTE INTERVAL
5-MIHUTE IMTERVAL
CURVE Z
• .to
• *•. IB*.
ooooooooo
0000000
Figure 73. Effect of different N02 photolysis rate constants 0'
ozone concentrations in UNC blue chamber experimen'
on 9 August 1975. Asterisks indicate ozone measu''
ments in the chamber.
284
-------
Temperature, with a diurnal variation similar to that of solar
radiation, may also have a large effect on the overall chemistry. In
our first simulation of the 9 August 1975 run, we varied the tempera-
ture as observed. We then performed the same simulation with a constant
average temperature. The temperature for the 9 August 1975 run averaged
over 11 hours is 299K. In both runs, we used the Curve 2 solar radia-
tion profile in Figure 71. Figure 74 shows the 0- predictions from the
two simulations. As one can see, (L is produced at nearly the same rates
during the early parts of the simulations, but not as much 0- is produced
at the end of the simulation at a constant temperature.
1.2*
».»»
* EXPERIMENT RESULTS
0 VARIABLE TEMPERATURE SIMULATION
CONSTANT TEMPERATURE SIMULATION
1M.
TIME, minute*
TM.
Figure 74. Effects of different temperature profiles on
simulated ozone concentrations
The final simulations were performed on four UNC chamber runs (one on
9 August 1975, two simultaneously on 5 November 1976, and one on 8 August
1977) with the propylene mechanism presented in Section 5. The simulation
results are presented in Volume II of this report.
285
-------
An interesting observation is the difference between summer and
late fall radiation intensities. During the fall months, the total radia-
tion is lower and the ratio of aldehyde to N0? photolysis rate constants
is different. It is also known that this ratio is not constant during the
course of a day.
In simulations of the 5 November 1976 runs, we had to lower the
aldehyde/NOp photolysis rate constant ratio by 40 percent to fit the
observed data. Two UNC runs with different initial hydrocarbon con-
centrations were performed simultaneously. We are able to simulate
both runs fairly closely up to the 03 peak (Figures 75 and 76). For
the blue chamber run, we could not simulate the 0- concentrations after
the Oo peak. For the red chamber run, we were not able to simulate NO as
O A
closely as 03 and propylene. However, the use of a significantly lower
photolysis ratio for these November runs probably accounts more for the
colder temperature then than the actual change in the photolysis ratio.
Results of the RTI Chamber Study
The Research Triangle Institute outdoor smog chambers are similar to
the UNC chamber and are located in the same area. Therefore, we assumed
the same solar radiation profile for RTI as for the UNC chamber. Of the
experimental data available, we investigated the propylene/NO experiments
/\
performed in October 1976 because this set of data appeared to have the
least experimental errors in the 03 values. The rate constants of the
0- -»• wall reaction and the N90C + HpO reaction were changed in the mechan-
-4 -1 -e. -1 -1
ism to 5.1 x 10 min and 5 x 10 ° ppm min , respectively.
Although RTI performed runs for 35 hours, we simulated only the first
18 hours of each run. The simulation results for Chambers 2, 3, and 4 are
presented in Volume II (no 03 was observed in Chamber 1). As shown by
these results, we are able to simulate the data fairly well for the first
day, except for Chamber 2 (Figure 77). The NOp data shown have been corrected
for PAN by subtracting the simulated PAN concentrations from the N0? data
as was done with the UNC data.
286
-------
o.oo
0 70 140 210 280 350
TIME, minutes
(a) N09, NO and 07
-------
o.i6r
E O.L2
Q.
Q-
0.08
o:
o
z
8 0.04
0.00
70 140 210 280 350
TIME, minutes
(a) 0,
420 490
560
0.48r
0>°°0 70 140 210 280 350 420 490 560
TIME, minutes
(b) Propylene, N02> and NO
Figure 76. Simulation results of a UNC propylene experiment on
5 November 1976 (red side)
288
-------
0.16
£ 0.12
o.
Q.
0.08
O
•z.
3 0.04
0.00
150 300 450 600 750
TIME, minutes
(a) 0,
goo
1050 1200
1.20
Q.
o_
0.90
-------
The 03 data reported for Chamber 2 are suspicious. At the NCL peak,
reported CL concentrations are approximately a factor of 10 lower than
the amounts predicted by steady-state calculations. The 03 values re-
ported for Chambers 3 and 4 at the NCL peak were low by only a factor of
about 3. Our simulated 0- values are high for Chamber 2 by a factor of 3
O
but are fairly close for Chamber 3. One aspect of the RTI data that we
have not taken into account is the effect the fan has on the species behav-
ior. The fan was turned off in Chamber 3 only. When the fan is left
running, we expect a greater wall effect owing to the turbulence caused by
the fan. This might account for the overprediction of ozone in the simula-
tion of Chamber 2.
The ozone was also overpredicted in Chamber 4, perhaps also because
of the turbulence caused by the fan. Another possible explanation is that
the chamber has not been "seasoned" long enough. Simulations with a higher
03 -»• wall reaction (at 2.5 x 10~ min~ ) resulted in better fits of the
ozone concentrations in Chamber 4, but had little effect on the results of
Chamber 2. Figure 7Dshows the simulation results of this run. Thus, we
feel that a longer "seasoning" period may be required for Chamber 4. Note
that in Figure 78 the predicted ozone in Chamber 4 decays rapidly after
the ozone peak while the observational data remains constant. If the chamber
is not well seasoned before the experiment, it becomes a little more seasoned
during the experiment. Thus, the 03 ->• wall reaction rate may decrease with
time, and the observed ozone would remain constant.
During the next contract year, we hope to investigate the turbulence
effect caused by the fans and the need to have the chamber "seasoned"
sufficiently in the RTI experiments.
Results of the Study of the Battelle and NAPCA Chambers
Both the Battelle and NAPCA chambers use constant irradiation sources
similar to that in the UCR chamber. Both groups reported values for the NO,,
decay rate. Battelle reported an actual k, (N0~ photolysis rate), which was
used in the computer simulations.
290
-------
CL
Q.
O
o
O
0.16
0.12
2 0.08
fee
0.04
0.00
150 300 450 600 750
TIME, minutes
(a) Ozone
900
1050 1200
CL
Q.
o
0.90r
0.30 -
0.00
0.20 -
150 300 450 600 750
TIME, minutes
(b) N02, NO, and
900
1050 1200
Figure 78. Simulation results of the ozone behavior in RTI
Chambers 2 and 4 with the ozone wall reaction
at 2.5 x 10~3 ppm~lmin~l
291
-------
We investigated three Battelle runs (S-019, S-114, and S-115)
performed with blacklight irradiation (k, equal to 0.3 min" for S-019
1 i
and 0.16 min for S-114). Initial simulations using the blacklight
spectral .distribution reported for the NAPCA chamber showed high ozone
for S-019 but low ozone predictions for Runs S-114 and S-115. However,
the fit was improved if the NO, photolysis rate constant was raised from
1 I £
0.16 min" to 0.2 min . [This change of 25 percent is within the
estimated limit of 30 percent uncertainty reported by Wu and Niki
(1975)]. The simulation results for Battelle Runs S-019, S-114, and
S-115 are shown in Volume II.
Of the five propylene/NO experiments available to us from NAPCA,
/\
we chose three runs with similar operating conditions (Runs 156, 164,
and 172). Each run was statically charged and run in Chamber 2. Run
156 was performed at full light intensity, and Runs 164 and 172 were per-
formed at one-third of the full light intensity. The only light intensity
spectrum available was reported by Korth, Rose, and Stahman (1964). The
k. value used was 0.4 min" (Kuntz, Kopczynski, and Bufalini, 1973). From
estimates of k, from a k. value due to blacklamps, we estimated the k,
I Q -I I
value for the NAPCA chamber to be approximately 0.27 min~ .
In our initial simulations of NAPCA Runs 156, 164, and 172, the pro-
pylene decay rate was too rapid and the N02 induction period too short.
These simulations are not shown. Because the reported light spectrum was
taken in 1963 and the propylene experiments were performed in 1965, we
suspect that the light source may have deteriorated. We applied short
wavelength attenuation to the reported light spectrum of Korth, Rose, and
Stahman, (1974) and calculated a new set of photolysis ratios (Table 43).
Simulations with the shifted spectrum produced better fits (see Volume II)
292
-------
TABLE 43. PHOTOLYSIS RATE CONSTANTS (RELATIVE TO Iq = 1) USED IN
COMPUTER SIMULATIONS OF THE NAPCA RUNS*
03 + hv -»•
03 + hv ->
HONO + hv
H202 + hv
HCHO + hv
HCHO + hv
CH3CHO +
CH3CH2CHO
Original rate
Reaction constant"*"
0(1D) 0.0257
0(3P) 0.034
-* NO + OH- 0.426
-*• 20H- 0.0037
+ H02 + HCO- 0.0065
•* H2 + CO 0.0065
02
hv •* CH302 + HCO- 0.0065
°2
+ hv -> CH3CH20^ + HCO- 0.007
Attenuated rate
constant5
0.0052
0.03
0.375
0.0014
0.0038
0.0038
0.0038
0.0038
* The light intensity was cut to one-third the full intensity for
Runs 164 and 172. Therefore, we lowered the aldehyde photolysis by
one-half to simulate this condition.
t Calculated from data reported by Korth, Rose and Stahman (1964).
§ Calculated for the 1965 runs assuming deterioration of short-
wavelength intensity of the light source from the 1964 data.
293
-------
Results of the Study of the UCR Glass Chamber
One of the advantages of using a glass wall smog chamber for hydro-
carbon/NO experiments may be the low adsorption of NO to the glass walls
•-X X
compared with the adsorption by walls constructed of Teflon. We used the
rather low value of 8 x 10" ppnf min" for the NoOr + H90 reaction rate
£ 0 c
constant.
We were able to obtain only limited information on two UCR glass
experiments performed in 1973. Since the reported k . for these experiments
-1 -1
is 0.35 min , we used a value of 0.3 min for k, in the computer simula-
tions. The simulated predictions of the NO , propylene and ozone behavior
are shown in Figures 79 and SO. Further investigations using higher alde-
hyde photolysis show an effect on the ozone induction period with little
effect on the ozone maximum (see Figure 81). Another investigation using
a higher k, value (0.5 min~ ) showed that by raising the N02 photolysis
rate constant we were able to predict the ozone behavior without affecting
the NO and propylene predictions (see Figure 82). Although this last
set of simulations shows the closest agreement for ozone maxima between
simulations and the UCR glass experiments, we are skeptical about the high
NOp photolysis rate constant used in the simulations.
During the next contract year, we hope to obtain more information
concerning these experiments and perhaps to elucidate the apparently high
concentrations of ozone found in these experiments.
Results of the Study of the CALSPAN Chamber
For the CALSPAN chamber, we investigated three propylene/NO experiments
J\
(Runs 11, 15, and 16). Of these, only Run 11 did not contain any hydro-
carbon concentration versus time profile. The computer simulations of Runs
11, 15, and 16 are shown in Figures 83, 84, and 85. In the simulations of
Runs 15 and 16 (Figures 84 and 85) the propylene decay was simulated, but
not the ozone behavior. In the simulations of Run 16 (Figure 85), the simu-
lations have a shorter time to NO crossover compared with the actual data;
A
294
-------
Q.
Q.
«c
o:
UJ
t_>
o
C_5
0.14 -
0.07 -
o.oo.
50
100
150 ZOO 250
TIME, minutes
300
350
400
(a) N02 and
NO
o.eor
0.60 -
Q.
Q.
h- 0.40 -
o
§ 0.20
0.00.
100
ISO 200 250
TIME, minutes
(b) Propylene and
300
350
400
Figure 79. Simulation results of the UCR glass chamber experiment
performed on 23 February 1973
295
-------
O.ZSp
0.00.
50
100
150 7.00 250
TIME, minutes
(a) N02 and NO
300
350
400
Q.
Q.
QL
0.80
0.60
0.40
o
R 0.20
0.00
50 100 ISO ?00 250 300 350 400
TIME, minutes
(b) Propylene and Oo
Figure 80. Simulation results of an UCR glass chamber experiment
performed on 5 March 1973
296
-------
CL
O_
0.28r
0.21 -
0.14
O 0.07 -
0.00
50 100
150 ZOO 250
TIME, minutes
300 350 400
(a) N02 and
NO
0.80
a.
Q-
o.eo
o
o
0.40
0.20
0.00
50 100 150 200 250
TIME, minutes
(b) Propylene and
300 350 400
Figure 81. Simulation results of an UCR glass chamber experiment
with the formaldehyde photolysis at 3 x 10-3 min-l
297
-------
0.28r
-0.21 -
D.
a.
H- 0.14 -
o
z
o
O
0.07 -
0.00
50 100
ISO 200 250
TIME, minutes
(a) N02 and
NO
300
350
400
Q_
Q.
o.eor
0.60
0.40
o
I 0-20
0.00
50 100 150 200 250
TIME, minutes
(b) Propylene and
300
350
400
Figure 82. Simulation results of an UCR glass chamber experiment
with the N02 photolysis at 0.5 min-1
298
-------
Q.
Q.
0.80
0.60
0.40
g 0.20
0.00
40 80
120 160 200
TIME, minutes
240 280 3ZO
Figure 83. Simulation results of propylene/NO Experiment 11
performed in the CALSPAN chamber x
299
-------
0.80
E -0.60
Q.
Q.
UJ
o
<-> 0.20
0.00
40 80 120 160 ZOO
TIME, minutes
(a) N09> NO, and 0,
240 280
320
Q.
Q.
1.04
0.76
O.S2
UJ
o 0.26
0.00
40 80 120 160 200
TIME, minutes
(b) Propylene
240 280
320
Figure 84. Simulation results of propylene/NOx Experiment 15
performed in the CALSPAN chamber
300
-------
o.72r
o
0.00
80
120 160 ZOO
TIME, minutes
(a) N02, NO, and
240
280
320
1.04
E J.7B
Q.
Q_
-------
Using the reported light spectra, we calculate photolysis ratios for
both the cut and uncut spectra (Table 44). Jaffe and Last (1974) reported
a kd of 0.3 min" for both spectra. Wu and Niki (1975) provided the
following, equation to calculate k-| from data on the decay of N02 in N?:
n 5 kdLM] k [M] [NOJ,
|/ = U' J I 4. *+ 3 o n f- _ I
1 Tt- t \ k k fNO l
i v »»p '•i / ^q ^q L'^^oJo
(108)
where [NCLL and [N0p]2 are the concentrations of N02 at times t, and t^,
[NO ]Q = [N02] + [NO], and k-, k., and kr are the rate constants for the
reactions of triplet oxygen atoms with N0?, N02+M, and NO, respectively.
This equation should be used when [MO]/[N02] >. 0.5. Data taken from Jaffe
and Last (1974) indicate that [NO^ = 0.58 ppm, [N02J2 = 0.415 ppm,
[NO ] = 1.6 ppm, t. = 3 minutes, and t? = 4 minutes. By eq. (108), these
A I £-
data and the rate constants recommended by Hampson and Garvin (1978) indicate
that k, = 0.33 min" . Use of the value of 0.33 min" in the computer simu-
lations resulted in prediction of an early NO crossover and fast propylene
X
decay. Simulation results for Runs 40 and 42 are presented in Figures 86
and 87; simulation results for Runs 41 and 43 are presented in Volume II
of this report. To help simulate the high amounts of N02 in the data, we
included a reaction that simulates N09 desorption off the walls at a rate
-3 -1
of 2 x 10 ppm min . But even with this rate, we were not able to
predict the N02 peak concentrations.
In the cut spectrum Run 40 (Figure 86) we could not follow the ozone
behavior or the propylene decay. Note in Figure 86 that the propylene
decay has two distinctive slopes: It is fairly slow until approximately
200 minutes and then becomes much faster. This period (200 minutes) also
marks the point in which the ozone begins to influence the propylene decay.
In earlier simulations with the propylene mechanism presented by Whitten
302
-------
TABLE 44. PHOTOLYSIS RATE CONSTANTS (RELATIVE TO k-j = 1) USED IN
SIMULATIONS OF LOCKHEED CHAMBER RUNS
03 + hv -»•
03 + hv -»•
MONO + hv
H000 + hv
2 2
HCHO + hv
HCHO + hv
CH3CHO +
CH3CH2CHO
Reaction
O^D)
0(3P)
-»• NO + OH-
-* 20H-
02
-»• HO^ + HCO-
•* H2 + CO
02
hv -»• CH30^ + HCO-
02
+ hv -> CH3CH20^ + HCO-
Full spectrum
0.0064
0.0127
0.18
0.001
0.0018
0.0018
0.0018*
0.0018*
Cut spectrum
0
0.14
0.18
0.00044
0.00015
0.00015
0
0
* Quantum yield equals one.
303
-------
2.00r-
E -"i.50
Q.
Q.
1.00
o
S 0.50
0.00
X X
0 40 80 120 .160 200 240 280
TIME, minutes
(a) N02, NO, and 03
320
3.20r
E 2.40
o.
o.
1.60
3 o.eo
0.00
J 1 I I 1 I I I
40 80
120 160 200
TIME, minutes
(b) Propylene
240 280 320
Figure 86. Simulation results of propylene/NO Experiment 40
performed at Lockheed using a cut Spectrum
304
-------
E .i.SO
Q.
1.00
O
<-> 0.50
0.00
1ZO 160 200
TIME, minutes
(a) N02, NO, and
210 280 320
3.20
E 2.40
Q.
1.60
o
O
<-> 0.80
0.00
40 80
120 160 200
TIME, minutes
(b) Propylene
240 280 320
Figure 87. Simulation results of propylene/NOx Experiment 42
performed at Lockheed using a full spectrum
305
-------
and Hogo (1977), we found that the major source of radicals is the ozone-
olefin reaction. Since the present propylene mechanism does not have a
high radical yield from the ozone-olefin reaction, the simulations do not
follow the propylene decay as well. In future work the ozone-olefin
reaction will be investigated further to determine, if possible, the amount
of radicals required to simulate the Lockheed experiments. Also we will
examine the extent of NO desorption from the walls and will investigate
X
other experiments using different materials to see whether or not NO
/v
desorption occurs extensively.
CONCLUDING REMARKS
Our work to date seems to be leading toward the conclusion that the
same basic propylene mechanism is adequate for simulating experiments
in most chambers. The most important chamber-specific effects seem to be
the overall light intensity and the spectral distribution of the light.
Wall effects appear to play a small but important role in the overall
chemistry. At this time, the effects from uncertainties in analytical
data and light source data seem to be larger than the effects due to the
walls.
We have received more propylene/NO runs from UNC, which we are currently
X
simulating with the hope of elucidating certain wall effects, such as NO
X
and formaldehyde adsorption/desorption in the UNC chamber. For the RTI
chamber, we are evaluating the effect of turbulence due to the fan. In
the CALSPAN and Lockheed chambers there seem to be strong NO desorption
X
effects, since the total NO concentration increases in some of these
X
experiments. We plan to estimate what effects NO coming off the wall has
X
in all of the chambers.
During the coming year, we also plan to investigate the effect of
temperature on the mechanism using the results of a temperature study
performed at UCR.
306
-------
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309
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310
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312
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313
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TECHNICAL REPORT DATA
(Please read Instructions on the reverse before completing)
1 REPORT NO.
3. RECIPIENT'S ACCESSION"NO.
EPA-600/3-79-Q01a |_
4. TITLE AND SUBTITLE
MODELING OF SIMULATED PHOTOCHEMICAL SMOG WITH KINETIC
MECHANISMS Volume 1. Interim Report
5. REPORT DATE
January 1979
6. PERFORMING ORGANIZATION CODE
7. AUTHOR(S)
G.I. Whitten, H. Hogo, M.J. Meldgin, J.P. Killus,
and P. J. Bekowies
8. PERFORMING ORGANIZATION REPORT NO.
EF78-121A
9. PERFORMING ORGANIZATION NAME AND ADDRESS
Systems Applications, Incorporated
950 Northgate Drive
San Rafael, California 94903
10. PROGRAM ELEMENT NO.
1AA603 AC-19 (FY-78)
11. CONTRACT/GRANT NO.
Contract No. 68-02-2428
12. SPONSORING AGENCY NAME AND ADDRESS
13. TYPE OF REPORT AND PERIOD COVERED
Environmental Sciences Research Laboratory-RTP, NC
Office of Research and Development
U.S. Environmental Protection Agency
Research Triangle Park, N.C. 27711
Interim 7/76-7/78
14. SPONSORING AGENCY CODE
EPA/600/09
15. SUPPLEMENTARY NOTES
Volume 2. Appendix EPA-600/3-79-001b
16. ABSTRACT
Computer modeling of smog chamber data is discussed in three parts. First,
a series of detailed chemical mechanisms were developed to describe the photo-
chemical formation of ozone from nitrogen oxides and the following organic
compounds (alone and in various combinations): formaldehyde, acetaldehyde,,
ethylene, propylene, butane, 1-butene, trans-2-butene, and 2,3-dimethylbutane.
Second, a generalized kinetic scheme intended for use in models simulating
the formation of ozone in urban atmospheres was refined. The generalized
mechanism includes a condensed version of the detailed mechanisms developed
in the first part plus a semi-empirical scheme to describe the oxidation of
aromatic hydrocarbons. Third, the effects of smog chambers on ozone formation
were examined. For this part of the study, similar experiments using nitrogen
oxides and propylene in eight different smog chambers were simulated using
the detailed propylene mechanism. The main chamber effects identified thus
far are apparently due to nitrogen oxides degassing from the walls during
experiments and differences between chambers in the spectral distribution
of ultraviolet irradiation..
Volume 1 contains all textual material. Volume 2 contains graphs of measured and
simulated pollutant conr.pnt.rati'nn<; fnr many <;mng chamber experiments
17.
KEY WORDS AND DOCUMENT ANALYSIS
DESCRIPTORS
b.IDENTIFIERS/OPEN ENDED TERMS C. COSATI Field/Group
*
*
Air pollution
Reaction kinetics
Photochemical reactions
Test chambers
Mathematical models
Computerized simulation
13B
07D
07 E
14B
12A
09B
13. DISTRIBUTION STATEMENT
RELEASE TO PUBLIC
19. SECURITY CLASS (ThisReport/
UNCLASSIFIED
21. NO. OF PAGES
332
CLASS (This page)
22. PRICE
EPA Form 2220-1 (9-73)
314
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