Rd. Kay et Lm. Raff, STATISTICAL AND NONSTATISTICAL DYNAMICS IN THE UNIMOLECULAR DECOMPOSITION OF VINYL BROMIDE, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 101(6), 1997, pp. 1007-1017
Rate constants have been computed for three unimolecular decomposition
reactions of vinyl bromide for several energies in the range 5.23-7.6
7 eV, using statistical variational efficient microcanonical sampling-
transition-state theory (EMS-TST) on a global vinyl bromide potential
energy surface. The EMS-TST results are compared with those obtained f
rom a previously reported classical trajectory study on the same poten
tial energy surface [J. Phys. Chem. 1995, 99, 2959] in order to assess
the extent to which vinyl bromide unimolecular decomposition is gover
ned by statistical dynamics. For the three-center HBr elimination reac
tion, it is found that k(EMS-TST) is greater than k(trajectory) by a f
actor of 1.5-3.5 over the energy range considered. For the C-Br bond s
cission, the EMS-TST and trajectory results at lower energies are equa
l within the statistical error in the trajectory calculations, while a
t higher energies k(EMS-TST) exceeds k(trajectory) by a factor of 1.4-
2.9. The EMS-TST calculations also reproduce a surprising result from
the trajectory study, that the rate constant for three-center HBr elim
ination is an order of magnitude greater than that for C-Br bond sciss
ion throughout the energy range, even though the barrier height for th
e latter reaction is 0.34 eV lower. These results imply that three-cen
ter HBr elimination and C-Br bond scission are governed by statistical
dynamics. For the three-center H-2 elimination reaction, however, k(t
rajectory) is greater than k(EMS-TST) by a factor of 2-4 at lower ener
gies and a factor of 5-7 at higher energies. This result necessarily i
mplies that the dynamics of the three-center H-2 elimination are nonst
atistical. The nonstatistical behavior for this reaction is attributed
to a breakdown in the coupling among vibrational modes as the H-2 fra
gment departs, which leaves energy in excess of the statistically pred
icted amount in the dissociation coordinate. A study of intramolecular
vibrational relaxation (IVR) rates and pathways in vinyl bromide [J.
Phys. Chem. 1996, 100, 8085] supports this conclusion. The IVR analysi
s also shows that such a breakdown in mode-to-mode coupling does not e
xist for the three-center HBr elimination and that nearly global rando
mization of the internal energy rapidly occurs as the system moves thr
ough the transition-state region for HBr elimination. Thus, the nature
of IVR on the vinyl bromide potential surface used in this work is co
nsistent with the present EMS-TST results showing that three-center HB
r elimination is well-described by statistical reaction rate theory, w
hile three-center H-2 elimination is not.