Article,
Equivalence of the Wei potential model and Tietz potential model for diatomic molecules
The Journal of Chemical Physics, 137 (1): 014101 (July 2012)
DOI: 10.1063/1.4731340
Abstract
By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate improved expressions for the well-known Rosen-Morse, Manning-Rosen, Tietz, and Frost-Musulin potential energy functions. It is found that the well-known Tietz potential function that is conventionally defined in terms of five parameters T. Tietz, J. Chem. Phys. 38, 3036 (1963)10.1063/1.1733648 actually only has four independent parameters. It is shown exactly that the Wei Phys. Rev. A 42, 2524 (1990)10.1103/PhysRevA.42.2524 and the well-known Tietz potential functions are the same solvable empirical function. When the parameter h in the Tietz potential function has the values 0, +1, and −1, the Tietz potential becomes the standard Morse, Rosen-Morse, and Manning-Rosen potentials, respectively.
