Equivalence of the deformed Rosen–Morse potential energy model and Tietz potential energy model
Journal of Mathematical Chemistry, 51 (8):
2165-2172 (September 2013)DOI: 10.1007/s10910-013-0204-1
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 Rosen–Morse potential energy model. It is found that the deformed Rosen–Morse potential model and the well-known Tietz potential model are the same empirical potential function for diatomic molecules. With the help of the energy spectrum expression of the deformed Rosen–Morse potential model, we obtain exact closed-form expressions of diatomic anharmonicity constants