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 L& statistics of Dyso
Effect of the increase of molecular complexity on statistical properties of vibrational spectra
โ Scribed by R. Cimiraglia; A. Ferretti; N.K. Rahman
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 438 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
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 III 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 Rrody distribution, which is intermediate between a Poisson and a Wigner distribution.
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