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Equivalence of the deformed modified Rosen-Morse potential energy model and the tietz potential energy model. (English) Zbl 1264.81340

Summary: 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 \(\omega_{e}x_{e}\) and \(\omega_{e}y_{e}\). The anharmonicity constants for the \(X^1\Sigma^+_g\) state of the \(N_2\) molecule have been computed and compared with the observed data.

MSC:

81V55 Molecular physics
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