Analytical computer calculations for vibration-rotation spectroscopy of high-symmetry polyatomic molecules

A. E. Cheglokov, O. N. Ulenikov, A. S. Zhilyakov, V. N. Cherepanov, Yu S. Makushkin, A. B. Malikova

Research School of High-Energy Physics

Research output: Contribution to journal › Article

Abstract

A method has been developed for a computer system of analytical calculations, "REDUCE", for the processing of complicated computations in perturbation theory, based on irreducible tensorial sets theory. The problem was to obtain exact analytical expressions for spectroscopic X^Ω(k,γ)_νΓ,νΓ constants of a high symmetry molecule up to high (third and fourth) orders of perturbation theory. The general scheme of the program package has been found to be useful for a wide range of similar problems. The obtained formulas for the X^Ω(k,γ)_νΓ,νΓ constants of the CH₄ molecule, being of special interest, are presented as results of the program package under discussion. The necessary theoretical background is supplied.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Spectrochimica Acta Part A: Molecular Spectroscopy
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/0584-8539(93)80003-S
Publication status	Published - 1 Jan 1990

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ASJC Scopus subject areas

Engineering(all)

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Cheglokov, A. E., Ulenikov, O. N., Zhilyakov, A. S., Cherepanov, V. N., Makushkin, Y. S., & Malikova, A. B. (1990). Analytical computer calculations for vibration-rotation spectroscopy of high-symmetry polyatomic molecules. Spectrochimica Acta Part A: Molecular Spectroscopy, 46(1), 1-12. https://doi.org/10.1016/0584-8539(93)80003-S

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AU - Ulenikov, O. N.

AU - Zhilyakov, A. S.

AU - Cherepanov, V. N.

AU - Makushkin, Yu S.

AU - Malikova, A. B.

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10.1016/0584-8539(93)80003-S