Equivalence of the deformed modified Rosen-Morse potential energy model and the Tietz potential energy model

Author: Sun Yu   He Su   Jia Chun-Sheng  

Publisher: IOP Publishing

ISSN: 1402-4896

Source: Physica Scripta, Vol.87, Iss.2, 2013-02, pp. : 25301-25305

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Abstract

By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed modified Rosen-Morse potential energy model. It is found that the deformed modified Rosen-Morse potential model and the well-known Tietz potential model are the same empirical potential function for diatomic molecules. In terms of the energy spectrum expression of the deformed modified Rosen-Morse potential model, we obtain exact closed-form expressions for diatomic anharmonicity constants ω e xe and ω e ye . The anharmonicity constants for the X1Σ+g state of the N2 molecule have been computed and compared with the observed data.