A program for determining primitive semiclassical eigenvalues for vibrating/rotating nonlinear triatomic molecules

George C. Schatz

doi:10.1016/0010-4655(88)90067-7

A program for determining primitive semiclassical eigenvalues for vibrating/rotating nonlinear triatomic molecules

George C. Schatz

Northwestern University

Research output: Contribution to journal › Article › peer-review

48 Citations (Scopus)

Abstract

This paper presents the theoretical details of the fast Fourier transform method for determining semiclassical eigenvalues in vibrating/rotating triatomic molecules. Much of this is concerned with transformations between space fixed Cartesian coordinates and momenta, normal coordinates and momenta and symmetric top rotational action/angle variables. Applications of the method to both rigid and vibrating H₂O in both the ground and j = 3 rotational states are presented. Comparison with experiment indicates that errors of a few cm^-1 are typical.

Original language	English
Pages (from-to)	135-147
Number of pages	13
Journal	Computer Physics Communications
Volume	51
Issue number	1-2
DOIs	https://doi.org/10.1016/0010-4655(88)90067-7
Publication status	Published - 1988

ASJC Scopus subject areas

Hardware and Architecture
Physics and Astronomy(all)

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abstract = "This paper presents the theoretical details of the fast Fourier transform method for determining semiclassical eigenvalues in vibrating/rotating triatomic molecules. Much of this is concerned with transformations between space fixed Cartesian coordinates and momenta, normal coordinates and momenta and symmetric top rotational action/angle variables. Applications of the method to both rigid and vibrating H2O in both the ground and j = 3 rotational states are presented. Comparison with experiment indicates that errors of a few cm-1 are typical.",

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