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Revisiting Separation of Vibrations and Rotations in the Theory of Molecular Spectra

Authors
  • Gribov, L. A.1
  • 1 Russian Academy of Sciences, V. I. Vernadsky Institute of Geochemistry and Analytical Chemistry, 19 Kosygin Str., Moscow, 119991, Russia , Moscow (Russia)
Type
Published Article
Journal
Journal of Applied Spectroscopy
Publisher
Springer US
Publication Date
May 08, 2019
Volume
86
Issue
2
Pages
317–320
Identifiers
DOI: 10.1007/s10812-019-00819-z
Source
Springer Nature
Keywords
License
Yellow

Abstract

A new method is proposed for solving the problem of separation of vibrational and rotational motions in a molecule, as well as a formula for the rotational energy levels. A kinetic energy operator in general form is used for arbitrary generalized coordinates. It is shown that for a triatomic nonlinear molecule, the motions are separated exactly. The problem of a polyatomic molecule is reduced to a "triatomic" molecule.

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