Reaction of Singlet Methylene with Acetylene
J. Phys. Chem., Vol. 100, No. 6, 1996 2127
be known. In previous work,12 cross sections had been
ening caused by the deuterated species can be assumed very
nearly identical with that produced by the normal species. In
these calibrations, only mixtures duplicating the H2 kinetic
measurements were used, since the CH4 containing mixtures
will still result in a CH3 being produced (R5). Calibration was
completed through comparison of the CH3 transition at 3154.7468
-
1
determined for a C3H3 transition at 3314.704 cm and a CH3
-1
transition at 3247.4863 cm . These could not be used in these
kinetics measurements, however, due to interference from
acetylene absorptions in these regions. After comparing
potential C3H3 and CH3 transitions to known C2H221 transi-
tions, two candidates that did not overlap with acetylene peaks
were found. For C3H3, the R(8) transition at 3327.8484 cm-
was chosen, and for CH3 the N′ ) 2, K′ ) 1 r N ) 2, K ) 0
16
15
-1
-1
cm to the C3H3 transition at 3327.8484 cm under reaction
conditions. The resulting ratio between the two cross sections
was σCH :σC H ) 2.77:1.
1
3
3 3
-
1
transition at 3154.7468 cm was chosen. These transitions
were then monitored throughout the kinetics experiments with
the excimer laser running at 308 nm.
Blank Checking Experiments
Several experiments were carried out to check that the signals
observed were not contaminated by artifact sources of the
radicals observed produced by some sort of side reaction. In
the kinetics work at 308 nm we looked for, and did not observe,
CH3 with the following variations of conditions: diketene
pyrolysis mixture (ketene) alone, methane alone, C2H2 alone,
ketene + C2H2. At 308 nm, we looked for, and did not observe,
C3H3 with ketene alone.
Since the cross sections for a CH3 peak and a C3H3 peak had
previously been determined, our first approach to determining
the cross sections for the two new lines was to simply compare
the new lines to the old calibrated lines and determine relative
cross sections by comparing absorbances. This simplistic
approach, however, was not implemented because pressure
broadening was found to affect both lines (3327.8484 and
-1
3
154.7468 cm ) under the conditions used in the kinetics
In the calibration work at 193 nm, the d4-diketene was
checked by running it through the cell and looking for CH3
and C3H3. Neither was observed.
measurements, and it cannot be assumed that the change in the
peak absorption cross section is the same for the two lines
actually used in the rate measurements.
The integrated intensity of a line is not affected by pressure
broadening. However, actual integration of a peak requires a
very high signal-to-noise and a very flat base line as the line
wings are quite extensive. We considered our signals did not
meet either criterion. For a single line, the measurement of
the frequency width (full width at half-maximum) and peak
intensity assuming a Voigt profile can be used to obtain reliable
integrated intensity and we have sufficient signal-to-noise for
such measurements. However, all our lines have underlying
and nearby substructure that prevents application of a Voigt
profile model. Therefore, we found it necessary to calibrate
peak absorption coefficients under conditions identical with
those of our observations.
Results
Once the CH3 and C3H3 transitions monitored during the
kinetics experiments were calibrated, the rate constant for
reaction 3 was calculated. First, the following ratio was
evaluated for each set of conditions:
[
CH or H ]A
4
2
C H ,0
3
3
R )
(3)
[C H ]A
2
2
CH ,0
3
where Ax,0 indicates infrared absorbance at t ) 0. The Beer-
Lambert law can be expressed
In previous, unrelated, unpublished work in our lab, we
discovered that photolysis of crotyl bromide (1-bromo-2-butene)
yielded propargyl, which indicates that it should also yield
methyl. It was first verified that CH3 and C3H3 are indeed
produced in a concentration ratio of 1:1 by using the old,
A ) σcL
(4)
where A is the base e absorbance, σ is the absorption cross
section, c is the concentration, and L is the path length. Due to
the complex nature of the overlap region between the UV
photolysis beam and the IR probe beam, L is not known
accurately, but when the ratio of absorbances is taken, it cancels
out. Therefore, to determine a value for k3, the ratios R were
averaged, multiplied by the ratio of the cross sections of the
CH3 and C3H3 peaks, r.
-1
previously calibrated lines (3314.704 and 3247.4863 cm ),
carrying out the photolysis under the conditions used in their
original line calibration. Thus, a viable method of calibrating
the ratio of the line peak absorption cross sections under the
conditions of the experiments would seem to be to photolyze
crotyl bromide at 193 nm, with all the constituents of the kinetic
system present to account for pressure broadening. Unfortu-
r ) σCH3/σ
(5)
C H
3
3
1
nately, ketene is still photolyzed at 193 nm producing CH2
-
10
cm molecule s-1, since
3
-1
and then multiplied by 1.2 × 10
and HCCO + H.2
2
-10
cm molecule s-1 and k5 ) 0.5 k4 (see eqs
3
-1
k4 ) 1.2 × 10
-10
1
1 and 2). This results in a value for k3 of (3.5 ( 0.7) × 10
3 -1 -1
CH CO f CH + CO
(R6)
(R7)
2
2
cm molecule s . The values for R under varying concentra-
tion ratios are given in Table 2.
CH CO f HCCO + H
2
Discussion
1
Since there is production of CH2 at 193 nm, there will also be
conversion to extra CH3 upon addition of H2 or CH4 and reaction
with C2H2 to produce extra C3H3. Interference by the methyl
and propargyl produced by reactions R3 and R4 could be
Such a large value for k3 compared to the two reported overall
1
0
-10
3
-1
rate constants for the reaction of 3.7 × 10 cm molecule
-
1
11
-10
3
-1 -1
1
s
and 2.93 × 10
cm molecule
s
between CH2 and
C2H2 indicates that this product channel accounts for most of
avoided by using C2D2 and D2. However, in addition, H reacts
1
0
with ketene to produce methyl.10
the reaction. In the study which produced the higher rate,
the quenching rate of CH2 by acetylene was measured
1
-
11
3
-1 -1
CH CO + H f CH + CO
(R8)
independently to be (8 ( 3) × 10 cm molecule s . Thus,
2
3
1
this study would say that the CH2 reaction rate with quenching
-10
3
-1 -1
In order to avoid all these unwanted sources of CH3 and C3H3,
deuterated diketene and C2D2 were used. The pressure broad-
omitted is 2.9 × 10
cm molecule s , which is less than
-10
3
-1 -1
our measured value of (3.5 ( 0.7) × 10 cm molecule
s