The number of vibrational and rovibrational states for the Wei four-parameter potential
- 28 March 1992
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic, Molecular and Optical Physics
- Vol. 25 (6) , L151-L155
- https://doi.org/10.1088/0953-4075/25/6/002
Abstract
The number of vibrational (j=0) and rovibrational (j not=0) states of the Morse-type, four-parameter potential recently introduced by Wei (1990) are obtained in analytical form. Because of its four parameters, this potential can be easily fitted to other potential forms by matching not only the second derivatives at the minimum, but also the total number of rovibrational states. The Lennard-Jones LJ(12, 6) potential is used as a test case of this fitting procedure. The eigenvalues of such a fitted Wei potential, which are expressed analytically, are in good agreement with the LJ(12, 6) eigenvalues, especially for low and high vibrational quantum numbers.Keywords
This publication has 6 references indexed in Scilit:
- Four-parameter exactly solvable potential for diatomic moleculesPhysical Review A, 1990
- Energy eigenvalues for Lennard-Jones potentials using the hypervirial perturbative methodJournal of Physics B: Atomic, Molecular and Optical Physics, 1990
- Vibrational and rovibrational eigenenergies for Lennard-Jones potentialsJournal of Physics B: Atomic and Molecular Physics, 1987
- Four-term WKBJ approximation and its application to Varshni V and Lennard-Jones potentialsCanadian Journal of Physics, 1980
- Some properties of bound and quasi-bound states for various interatomic potential functionsMolecular Physics, 1970
- The Rotation-Vibration Coupling in Diatomic MoleculesPhysical Review B, 1934