Low-Temperature Rate Coefficients of C2H with CH4 and CD4
J. Phys. Chem., Vol. 100, No. 12, 1996 4889
home-built scanning Michelson interferometer wavemeter10 is
used to monitor the color center’s wavelength.
The probe beam, after three to five multipasses, is directed
onto a 50-MHz 77 K Ge:Au detector which has a 20-mm2
sensitive area. The transient signals are amplified and then
coadded using a 100-MHz digital oscilloscope. Typical single-
shot traces have a signal-to-noise ratio of 20-30. For a typical
run, transient signals from 1000 excimer pulses are averaged.
The amplitude of the transient C2H signal is found to be linear
with color center probe power.
In all experiments, acetylene, helium, and methane or
methane-d4 were flowed through a mixing cell before entering
the reaction cell. Helium is used to thermally equilibrate the
mixture with the cell walls. In earlier experiments, sulfur
hexafluoride, SF6, was used to vibrationally and electronically
quench the C2H;3,6 this was omitted from this study because it
was found to have no effect on the relatively slow ground-state
removal rates, as discussed below. All gases are obtained
commercially with the following purities: He, 99.99%; C2H2,
99.6%; CH4, 99.99%; CD4, 99.6%. The acetone in the C2H2 is
removed by passing the gas through an activated charcoal filter.
Partial pressures of each gas are determined by calibrated mass
flow meters and the measured total pressure inside the cell. With
the use of isopentane as a cooling solvent, temperatures as low
as 143 K can be reached. For measurements taken above 300
K, heated water was used as the solvent.
Analysis of Kinetic Data
In this study we observe reactions from the ground state of
C2H (X2Σ+ (0,0,0)) directly. For accurate measurements it is
necessary that the electronic and vibrationally excited states of
C2H be fully quenched. Work done by Glass et al. under similar
conditions reports that relaxation of the C2H (X(0,0,1)) state
occurs in approximately 1 µs.9 Therefore, if sufficient time has
elapsed, complete vibrational and electronic relaxation should
have occurred before any ground-state measurements are made.
The data is fit only beginning with times a factor of 3 longer
than the rise time to ensure complete relaxation of upper
vibrational states of C2H. In previous studies SF6 was used as
a vibrational quencher.3,6 Temperature dependent measurements
with and without SF6 were taken, and the measured rate
constants were found to be equal. Therefore, SF6 was not used
for this study.
Figure 2. (a) Decay of C2H with C2H2. The solid line is the fitted
single-exponential decay. (b) Residuals to the fit. The oscillations at
lower frequencies are due to the noise from the color center laser.
in the range (1.6-6.4) × 1014 cm-3 in the CH4 (CD4)
experiments). For these experiments a 1000-1500-fold excess
of CH4 (CD4) with respect to C2H2 is always present. Contribu-
tions from secondary or radical-radical reactions can be
neglected since the time between collisions for C2H and CH4
(CD4) is 1000 times shorter than the time between collisions of
two C2H radicals. The transverse flow arrangement in the cell
allows high laser repetition rates with minimal photolysis of
the same gas volume. With typical linear flow rates of 1.9 ×
1020 molecules s-1, about 90% of which is helium, the photolysis
volume is replenished every 10 laser pulses. Kinetic experi-
ments are performed at various methane (methane-d) densities
((0.2-2.5) × 1017 cm-3). The total helium density is in the
range (0.4-2.4) × 1018 cm-3, and the methane density is held
at 0.7 × 1017 cm-3 to test for a pressure dependence. In the
experiments involving just the reaction C2H + C2H2, the
acetylene number density was in the range (0.2-6.0) × 1015
cm-3, and the helium number density was in the range (0.32-
3.2) × 1018 cm-3. For the highest acetylene pressures, the C2H
Prior to measuring rate coefficients for the reaction C2H +
CH4 (CD4), an accurate temperature dependence investigation
of the rate constant for
C2H + C2H2 f C4H2 + H
(5)
had to be completed. Earlier measurements could only be made
down to 170 K, and here it was desired to extend the results to
at least 143 K.3 The experiments were done under pseudo-
first-order conditions where [C2H2] . [C2H] by a factor of 500-
1500. The rate equation for reaction 5 integrates to
concentration is estimated to be no greater than 6.7 × 1011 cm-3
.
[C2H]t ) [C2H]0 exp(-kobst)
(6)
Therefore, a 300-9000-fold excess of C2H2 with respect to C2H
is always present. Contributions from radical-radical reactions
can be neglected since the time between collisions for two C2H
radicals is 1000 times longer at the highest C2H density than
the time between collisions for C2H and C2H2.
where
kobs ) kC H [C2H2]
(7)
2
2
The observed rate coefficients, kobs, are calculated by fitting
the observed decay traces to a single-exponential decay plus a
constant, eq 8, to fit the zero level of the base line
A high-resolution color center laser tuned to the Q11(9) line
at 3593.68 cm-1 of the A 2Π-X 2Σ transition probes the
transient concentration of ethynyl radical in absorption.9
A
scanning Fabry-Perot spectrum analyzer is used to ensure that
the color center is running on one longitudinal mode, and a
y ) A exp(-kobst) + constant
(8)