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

Access to Document

10.1016/0009-2614(94)00456-0

Cite this

@article{5b1a071f621946c38f0295a401cf7dc3,

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

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.",

author = "Fabio Pichierri and Naseem Rahman",

year = "1994",

month = jun,

day = "24",

doi = "10.1016/0009-2614(94)00456-0",

language = "English",

volume = "223",

pages = "275--278",

journal = "Chemical Physics Letters",

issn = "0009-2614",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - Effect of the increase in molecular complexity on the statistical properties of vibrational spectra. Four coupled Morse oscillators

AU - Pichierri, Fabio

AU - Rahman, Naseem

PY - 1994/6/24

Y1 - 1994/6/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000516317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000516317&partnerID=8YFLogxK

U2 - 10.1016/0009-2614(94)00456-0

DO - 10.1016/0009-2614(94)00456-0

M3 - Article

AN - SCOPUS:0000516317

VL - 223

SP - 275

EP - 278

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 4

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this