Volume 38, Issue S24 pp. 429-446
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Classical dynamical analysis of the vibrational spectra for small polyatomic molecules

S. C. Farantos

S. C. Farantos

Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482

Department of Chemistry, University of Crete, and Institute of Electronic Structure and Laser, FORTH, Iraklion, Crete 711 10, Greece.

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J. M. Gomez Llorente

J. M. Gomez Llorente

Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482

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O. Hahn

O. Hahn

Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482

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H. S. Taylor

H. S. Taylor

Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482

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First published: 17/24 March 1990
Citations: 3

Abstract

With the study of three specific molecules, Na3(C2E″), HCN(X1Σ+), and O3(D1B2), each showing a distinctly different dynamical behavior at the energies studied, we show how techniques of nonlinear classical mechanics can be applied to simulate low resolution vibrational spectra and to extract the underlying dynamics from them. Particularly the importance of the single unstable periodic orbits in the chaotic regions of phase space is demonstrated.

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