Based on the formalism of irreducible tensor operators, the operator matrix of the effective rotational operator is determined in the general form for XYZ 3-type molecules of axial symmetry. Based on the symmetric properties of the Hamiltonian and the vibrational wave functions of molecules of this type, a number of previously unknown relationships are derived for the spectroscopic parameters.
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References
H. H. Nielsen, Rev. Mod. Phys., 23, 90 (1951).
D. Papousek and M. R. Aliev, Molecular Vibrational-Rotational Spectra, Elsevier Scientific Publishing Company, Amsterdam; Oxford; New York (1982).
Yu. S. Makushkin, O. N. Ulenikov, and A. E. Cheglokov, Symmetry and Its Application to Problems of Vibrational-Rotational Spectroscopy of Molecules, Parts I and II [in Russian], Publishing House of Tomsk State University, Tomsk (1990).
A. E. Cehglokov, O. N. Ulenikov, A. S. Zhilyakov, et al., J. Phys., 23, 1149–1163 (1990).
A. E. Cehglokov, O. N. Ulenikov, A. S. Zhilyakov, et al., Spectrochim. Acta, 46A, 1–12 (1990).
O. N. Ulenikov, R. N. Tolchenov, and Q.-S. Zhu, Spectrochim. Acta, 52, 1829 (1996).
U. Fano and G. Racah, Irreducible Tensorial Sets, Academic Press, New York (1959).
O. N. Ulenikov, E. S. Bekhtereva, S. Albert, et al., Mol. Phys., 108, 1209–1240 (2010).
O. N. Ulenikov, E. S. Bekhtereva, Yu. B. Yuhnik, and H. Bürger, J. Mol. Struct., 780–781, 115–123 (2006).
O. N. Ulenikov, G. A. Onopenko, N. E. Tyabaeva, et al., J. Mol. Spectr., 186, 293–313 (1997).
O. N. Ulenikov, A. B. Malikova, S. Alanko, et al., J. Mol. Spectr., 179, 175–194 (1996).
O. N. Ulenikov, G. A. Onopenko, N. E. Tyabaeva, et al., J. Mol. Spectr., 186, 293 (1997).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 104–109, July, 2013.
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Fomchenko, A.L., Litvinovskaya, A.G., Bolotova, I.B. et al. On the Determination of the Spectroscopic Parameters of Axially Symmetric XYZ 3 (C 3v) Molecules. Russ Phys J 56, 837–844 (2013). https://doi.org/10.1007/s11182-013-0107-4
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DOI: https://doi.org/10.1007/s11182-013-0107-4