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Proceedings Paper

Evaluation and asymptotic behavior of Herman-Wallis factors for multiquantum vibrational transitions in symmetric top molecules
Author(s): Vladimir M. Mikhailov; E. I. Lobodenko; M. A. Smirnov
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Paper Abstract

Within the framework of the linked ordering schemes theory of vibration-rotational interactions in molecules the introduction of Herman-Wallis factors into intensities of multiquantum vibrational transitions has been presented in effective dipole moment operator by sequences of types Meff equals Mn1 + Mn2 + Mn3 + ..., where n equals 1, 2, 3, ... . The results of group-theoretical analysis of tensorial parameters in M1n (n equals 1 divided by 3) for symmetric top molecules have been presented. Generalization of these results for multiquantum vibrational transitions is analyzed. The another goal of the contribution was the analysis of the ways of the construction of nonpolynomial models for Herman-Wallis factors on the base of the representation of Meff in forms of infinite sequences on angular momentum operators. Some simple models for HW factors in Pade-approximant form are considered. On the base of developed and presented theory of vibration rotation line intensities in molecular spectra the conception of fitting molecular dipole moment transition of quasirigid molecules is discussed for the first time.

Paper Details

Date Published: 29 December 2000
PDF: 7 pages
Proc. SPIE 4341, Seventh International Symposium on Atmospheric and Ocean Optics, (29 December 2000); doi: 10.1117/12.411925
Show Author Affiliations
Vladimir M. Mikhailov, Institute of Atmospheric Optics (Russia)
E. I. Lobodenko, Institute of Atmospheric Optics (Russia)
M. A. Smirnov, Institute of Atmospheric Optics (Russia)


Published in SPIE Proceedings Vol. 4341:
Seventh International Symposium on Atmospheric and Ocean Optics
Gennadii G. Matvienko; Mikhail V. Panchenko, Editor(s)

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