Evaluation and asymptotic behavior of Herman-Wallis factors for multiquantum vibrational transitions in symmetric top molecules

Vladimir M. Mikhailov; E. I. Lobodenko; M. A. Smirnov

doi:10.1117/12.411925

29 December 2000 Evaluation and asymptotic behavior of Herman-Wallis factors for multiquantum vibrational transitions in symmetric top molecules

Vladimir M. Mikhailov, E. I. Lobodenko, M. A. Smirnov

Author Affiliations +

Proceedings Volume 4341, Seventh International Symposium on Atmospheric and Ocean Optics; (2000) https://doi.org/10.1117/12.411925
Event: 7th International Symposium on Atmospheric and Ocean Optics, 2000, Tomsk, Russian Federation

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 M_eff equals M_n1 + M_n2 + M_n3 + ..., where n equals 1, 2, 3, ... . The results of group-theoretical analysis of tensorial parameters in M_1n (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 M_eff 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.

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Vladimir M. Mikhailov, E. I. Lobodenko, and M. A. Smirnov "Evaluation and asymptotic behavior of Herman-Wallis factors for multiquantum vibrational transitions in symmetric top molecules", Proc. SPIE 4341, Seventh International Symposium on Atmospheric and Ocean Optics, (29 December 2000); https://doi.org/10.1117/12.411925

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