A Comparison Between Algebraic Models of Molecular Spectroscopy

R. Bijker, A. Frank, R. Lemus, J. M. Arias and F. Pérez-Bernal
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R. Bijker: U.N.A.M., Instituto de Ciencias Nucleares
A. Frank: U.N.A.M., Instituto de Ciencias Nucleares
R. Lemus: U.N.A.M., Instituto de Ciencias Nucleares
J. M. Arias: Universidad de Sevilla, Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física
F. Pérez-Bernal: Universidad de Sevilla, Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física

A chapter in Symmetries in Science X, 1998, pp 37-46 from Springer

Abstract: Abstract We discuss a symmetry-adapted algebraic (or vibron) model for molecular spec-troscopy. The model is formulated in terms of tensor operators under the molecular point group. In this way, we have identified interactions that are absent in previous versions of the vibron model, in which the Hamiltonian is expressed in terms of Casimir operators and their products. The inclusion of these new interactions leads to reliable spectroscopic predictions. As an example we study the vibrational excitations of the methane molecule, and compare our results with those obtained in other algebraic models.

Keywords: Algebraic Model; Polyatomic Molecule; Vibrational Excitation; Casimir Operator; Methane Molecule (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4899-1537-5_2

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