Effect of the increase in molecular complexity on the statistical properties of vibrational spectra. Four coupled Morse oscillators

Fabio Pichierri; Naseem Rahman

doi:10.1016/0009-2614(94)00456-0

Effect of the increase in molecular complexity on the statistical properties of vibrational spectra. Four coupled Morse oscillators

Fabio Pichierri, Naseem Rahman

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

11 Citations (Scopus)

Abstract

Energy level statistics are presented for the vibrational levels of polyatomic molecules utilizing a local mode Hamiltonian made of four coupled Morse oscillators. The nearest-neighbour level spacing distribution shows a progressive transition towards a Wigner distribution. The Δ₃ statistics of Dyson-Mehta and correlation coefficients also lead to the same conclusion. The effect of the model-independent kinetic (Wilson) coupling is found to be overwhelmingly predominant over coordinate coupling.

Original language	English
Pages (from-to)	275-278
Number of pages	4
Journal	Chemical Physics Letters
Volume	223
Issue number	4
DOIs	https://doi.org/10.1016/0009-2614(94)00456-0
Publication status	Published - 1994 Jun 24
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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abstract = "Energy level statistics are presented for the vibrational levels of polyatomic molecules utilizing a local mode Hamiltonian made of four coupled Morse oscillators. The nearest-neighbour level spacing distribution shows a progressive transition towards a Wigner distribution. The Δ3 statistics of Dyson-Mehta and correlation coefficients also lead to the same conclusion. The effect of the model-independent kinetic (Wilson) coupling is found to be overwhelmingly predominant over coordinate coupling.",

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