Dynamical Lie Algebra Method for Highly Excited Vibrational State of Quasi-linear Tetraatomic Molecules

Chem. J. Chinese Universities ›› 2003, Vol. 24 ›› Issue (7): 1299.

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Dynamical Lie Algebra Method for Highly Excited Vibrational State of Quasi-linear Tetraatomic Molecules

FENG Dong-Tai^1,2, DING Shi-Liang¹, WANG Mei-Shan^1,2

1. School of Physics and Microelectronics, School of Chemistry, Shandong University, Jinan 250100, China;
2. Department of Physics, Shandong University of Technology, Zibo 255000, China

Received:2002-11-05 Online:2003-07-24 Published:2003-07-24

Abstract

Abstract: The highly excited vibrational states of quasi-linear tetraatomic molecule HCNO are studied in the framework of U(4) algebra. By using symmetric group with which the tetraatomic molecules satisfy, we construct the algebraic Hamiltonian that not only includes Majorana operator M₁₂ but also M₁₃ and M₂₃ which are very useful for getting potential energy surface and force constants in Lie algebra method. And the eigenvalue of the Hamiltonian are obtained by Lie algebra treatment.

Key words: Lie algebra method, Algebraic Hamiltonian, Highly excited vibrational states

CLC Number:

O641

TrendMD:

FENG Dong-Tai, DING Shi-Liang, WANG Mei-Shan. Dynamical Lie Algebra Method for Highly Excited Vibrational State of Quasi-linear Tetraatomic Molecules[J]. Chem. J. Chinese Universities, 2003, 24(7): 1299.

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Dynamical Lie Algebra Method for Highly Excited Vibrational State of Quasi-linear Tetraatomic Molecules

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