Phys. Rev. A 53, 2173 - 2180 (1996)Boson-realization model for the vibrational spectra of tetrahedral molecules |
Zhong-Qi Ma
China Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People's Republic of China
Institute of High Energy Physics, P.O. Box 918(4), Beijing 100039, Peoples Republic of China
Xi-Wen Hou
Institute of High Energy Physics, P.O. Box 918(4), Beijing 100039, People's Republic of China
Department of Physics, University of Three Gorges, Yichang 443000, People's Republic of China
Mi Xie
Graduate School, Chinese Academy of Sciences, Beijing 100039, People's Republic of China
Received 20 November 1995
An algebraic model of boson realization is proposed to study the vibrational spectra of a tetrahedral molecule, where ten sets of boson creation and annihilation operators are used to construct the Hamiltonian with Td symmetry. There are two schemes in our model. The first scheme provides an eight-parameter fit to the published experimental vibrational eigenvalues of methane with a root-mean-square deviation 11.61 cm-1. The second scheme, where the bending oscillators are assumed to be harmonic and the interactions between the bending vibrations are neglected, provides a five-parameter fit with a root-mean-square deviation 12.42 cm-1. ©1996 The American Physical Society.
©1996 The American Physical Society
URL: http://link.aps.org/abstract/PRA/v53/p2173
DOI: 10.1103/PhysRevA.53.2173
PACS: 33.20.Tp
See Also
Comment: Zhong-Qi Ma, Xi-Wen Hou, and Mi Xie, Removal of the spurious components from the vibrations of a polyatomic molecule, Phys. Rev. A 56, 4341 (1997)
Comment: R. Lemus, F. Pérez-Bernal, A. Frank, R. Bijker, and J. M. Arias, Comment on “Boson-realization model for the vibrational spectra of tetrahedral molecules”, Phys. Rev. A 56, 4337 (1997)
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