We present for the first time a study on the influence of the increase in the number of molecular vibrational degrees of freedom on level statistics. A model of three Morse oscillators coupled by Wilson terms has been considered for tetratomic molecules and the level statistics of its spectra have been studied in comparison with that of an analogous two-oscillator model for triatomics. The nearest-neighbor level spacing distribution for three oscillators is essentially a Wigner distribution, while for two oscillators it is a Brody distribution, which is intermediate between a Poisson and a Wigner distribution.
Effect of the increase of molecular complexity on statistical properties of vibrational spectra
CIMIRAGLIA, Renzo;
1988
Abstract
We present for the first time a study on the influence of the increase in the number of molecular vibrational degrees of freedom on level statistics. A model of three Morse oscillators coupled by Wilson terms has been considered for tetratomic molecules and the level statistics of its spectra have been studied in comparison with that of an analogous two-oscillator model for triatomics. The nearest-neighbor level spacing distribution for three oscillators is essentially a Wigner distribution, while for two oscillators it is a Brody distribution, which is intermediate between a Poisson and a Wigner distribution.File in questo prodotto:
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