Quasi-adiabatic basis functions for the S-matrix Kohn variational approach to quantum reactive scattering

John Zhang, William H. Miller

Research output: Contribution to journalArticle

Abstract

A basis set contraction scheme is described for carrying out reactive scattering calculations within the S-matrix version of the Kohn variational principle. The new basis functions are distributed Gaussians for the radial (translational) degrees of freedom, as used before, but with quasi-adiabatic internal eigenfunctions for the internal degrees of freedom; i.e., each translational Gaussian has a different internal function, the adiabatic internal eigenfunction for that translational coordinate at which the Gaussian is centered. A very efficient and easy-to-use criterion is given for selecting which of these L2 functions to include in the basis. Application to the three-dimensional H + H2 reaction for various values of total angular momentum shows that accurate results can be obtained with half (or fewer) the number of basis functions that are necessary when asymptotic channel eigenfunctions are used for the internal degrees of freedom. The basis function selection criterion allows one to obtain moderately accurate results with very few basis functions and then to improve the accuracy systematically by increasing the basis in a determined fashion.

Original languageEnglish (US)
Pages (from-to)7785-7789
Number of pages5
JournalJournal of Physical Chemistry
Volume94
Issue number20
StatePublished - 1990

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Scattering
matrices
scattering
Eigenvalues and eigenfunctions
eigenvectors
degrees of freedom
Angular momentum
variational principles
contraction
angular momentum

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Quasi-adiabatic basis functions for the S-matrix Kohn variational approach to quantum reactive scattering. / Zhang, John; Miller, William H.

In: Journal of Physical Chemistry, Vol. 94, No. 20, 1990, p. 7785-7789.

Research output: Contribution to journalArticle

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