Rate
coefficients for the CH3 + CH3 reaction,
over the temperature range 300–900 K, have been corrected for
errors in the absorption coefficients used in the original publication
(
Slagle
Slagle
J. Phys. Chem.19889224552462). These corrections necessitated the development
of a detailed model of the B̃2A1′
(3s)–X̃2A2″ transition in
CH3 and its validation against both low temperature and
high temperature experimental absorption cross sections. A master
equation (ME) model was developed, using a local linearization of
the second-order decay, which allows the use of standard matrix diagonalization
methods for the determination of the rate coefficients for CH3 + CH3. The ME model utilized inverse Laplace transformation
to link the microcanonical rate constants for dissociation of C2H6 to the limiting high pressure rate coefficient
for association, k
∞(T); it was used to fit the experimental rate coefficients using the
Levenberg–Marquardt algorithm to minimize χ2 calculated from the differences between experimental and calculated
rate coefficients. Parameters for both k
∞(T) and for energy transfer ⟨ΔE⟩down(T) were varied
and optimized in the fitting procedure. A wide range of experimental
data were fitted, covering the temperature range 300–2000 K.
A high pressure limit of k
∞(T) = 5.76 × 10–11(T/298 K)−0.34 cm3 molecule–1 s–1 was obtained, which agrees well with the best
available theoretical expression.