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

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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

Fingerprint

ASJC Scopus subject areas

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

Cite this

Cheglokov, A. E., & Ulenikov, O. N. (1985). On determination of the analytical formulas for reduction matrices of tetrahedral-symmetry molecules. Journal of Molecular Spectroscopy, 110(1), 53-64. https://doi.org/10.1016/0022-2852(85)90211-5

@article{71d6126a2217429d9d4b2307a57eccef,

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.",

number = "1",

}

TY - JOUR

T1 - On determination of the analytical formulas for reduction matrices of tetrahedral-symmetry molecules

AU - Cheglokov, A. E.

AU - Ulenikov, O. N.

PY - 1985

Y1 - 1985

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)].

UR - http://www.scopus.com/inward/record.url?scp=46549098176&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46549098176&partnerID=8YFLogxK

U2 - 10.1016/0022-2852(85)90211-5

DO - 10.1016/0022-2852(85)90211-5

M3 - Article

AN - SCOPUS:46549098176

VL - 110

SP - 53

EP - 64

JO - Journal of Molecular Spectroscopy

JF - Journal of Molecular Spectroscopy

SN - 0022-2852

IS - 1

ER -

Access to Document

10.1016/0022-2852(85)90211-5