On determination of the analytical formulas for reduction matrices of tetrahedral-symmetry molecules

Abstract

The formulas for the elements of ^(J)G matrices (J = 0, 1, 2 ⋯) determining reduction of irreducible representations D^(Jg) of the group 0(3) to the irreducible representations D^(Γ) of the T_d group have been obtained in an analytical form. It was shown how the transition was made from the G matrices of this paper to those determined by Moret-Bailly's basis [Cah. Phys., 15, 237-314 (1961)].

Original language	English
Pages (from-to)	53-64
Number of pages	12
Journal	Journal of Molecular Spectroscopy
Volume	110
Issue number	1
DOIs	https://doi.org/10.1016/0022-2852(85)90211-5
Publication status	Published - 1985

ASJC Scopus subject areas

Physical and Theoretical Chemistry
Spectroscopy
Atomic and Molecular Physics, and Optics

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10.1016/0022-2852(85)90211-5

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title = "On determination of the analytical formulas for reduction matrices of tetrahedral-symmetry molecules",

abstract = "The formulas for the elements of (J)G matrices (J = 0, 1, 2 ⋯) determining reduction of irreducible representations D(Jg) of the group 0(3) to the irreducible representations D(Γ) of the Td group have been obtained in an analytical form. It was shown how the transition was made from the G matrices of this paper to those determined by Moret-Bailly's basis [Cah. Phys., 15, 237-314 (1961)].",

author = "Cheglokov, {A. E.} and Ulenikov, {O. N.}",

year = "1985",

doi = "10.1016/0022-2852(85)90211-5",

language = "English",

volume = "110",

pages = "53--64",

journal = "Journal of Molecular Spectroscopy",

issn = "0022-2852",

publisher = "Academic Press Inc.",

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AU - Ulenikov, O. N.

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N2 - The formulas for the elements of (J)G matrices (J = 0, 1, 2 ⋯) determining reduction of irreducible representations D(Jg) of the group 0(3) to the irreducible representations D(Γ) of the Td group have been obtained in an analytical form. It was shown how the transition was made from the G matrices of this paper to those determined by Moret-Bailly's basis [Cah. Phys., 15, 237-314 (1961)].

AB - The formulas for the elements of (J)G matrices (J = 0, 1, 2 ⋯) determining reduction of irreducible representations D(Jg) of the group 0(3) to the irreducible representations D(Γ) of the Td group have been obtained in an analytical form. It was shown how the transition was made from the G matrices of this paper to those determined by Moret-Bailly's basis [Cah. Phys., 15, 237-314 (1961)].

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