Adiabatic semiclassical perturbation theory for vibrationally inelastic scattering. I. Collinear calculations

Journal Article · Wed Aug 01 04:00:00 EDT 1979 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.438446· OSTI ID:6092877

Cross, Jr, R J

A semiclassical approximation is developed to treat vibrationally inelastic scattering. The vibrational basis set used is adiabatic with respect to a reference potential which is chosen to be as close as possible to the true potential and yet give easily obtainable solutions to the vibrational wave equation. The radial wave functions are obtained using the WKB approximation, and the coupled Schroedinger equations are solved by a first-order perturbation method (similar to the distorted-wave approximation) to yield a phase shift matrix which is then exponentiated to give the full scattering matrix. Results, including high-order transitions, were obtained for all the cases computed by Secrest and Johnson and by Clark and Dickinson. The agreement is excellent, being better than 10% for half of the cross sections and, except for one system, rarely off by more than a factor of 2.

• Research Organization: Department of Chemistry, Yale University, New Haven, Connecticut 06520
• OSTI ID: 6092877
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 71:3; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUNCTIONS
INELASTIC SCATTERING
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
SCATTERING
SEMICLASSICAL APPROXIMATION
WAVE FUNCTIONS
WKB APPROXIMATION