Sun, Yu; He, Su; Jia, Chun-Sheng Equivalence of the deformed modified Rosen-Morse potential energy model and the tietz potential energy model. (English) Zbl 1264.81340 Phys. Scr. 87, No. 2, Article ID 025301, 5 p. (2013). 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. Cited in 5 Documents MSC: 81V55 Molecular physics PDFBibTeX XMLCite \textit{Y. Sun} et al., Phys. Scr. 87, No. 2, Article ID 025301, 5 p. (2013; Zbl 1264.81340) Full Text: DOI