Td. Sewell et al., COMBINED CLASSICAL TRAJECTORY AND QUANTUM SCATTERING ANALYSIS OF COLLISION-INDUCED VIBRATIONAL-ENERGY TRANSFER - DEACTIVATION OF HCL(V=1) IN AN AR GAS, The Journal of chemical physics, 99(4), 1993, pp. 2567-2582
A simple method for calculating vibrational transition probabilities i
n three-dimensional atom-diatomic collisions, which we call the classi
cal approach quantum encounter (CAQE) method, is presented. It consist
s of using suitably initiated classical trajectories as a means of gen
erating ensembles of phase-space points corresponding to the hard part
of collisions in which the repulsive core of the interaction potentia
l is sampled; these are then used as input to standard expressions for
computing quantum vibrational transition probabilities. The method is
applied to study the temperature dependence of the vibrational deacti
vation of HCl(v = 1) in collisions with Ar atoms. It can be generalize
d, however, to treat vibrational energy exchange in encounters between
two polyatomic molecules. Strengths and weaknesses of the method are
discussed and comparisons are made with a preceding simpler theory whe
rein the classical dynamics of the approach was replaced by statistica
l approximations.