ROTATIONAL-VIBRATIONAL EIGEN SOLUTIONS OF THE D-DIMENSIONAL SCHRÖDINGER EQUATION FOR THE IMPROVED WEI POTENTIAL

In this present study, we have employed the techniques of exact quantization rule and ansatz solution method to obtain closed form expressions for the rotational-vibrational eigensolutions of the D-dimensional Schrödinger equation for the improved Wei potential, for cases of h′ ≠ 0 and h′ = 0. By using our derived energy equation and choosing arbitrary values of n and ℓ, we have computed the bound state rotational-vibrational energies of CO, H2 and LiH for various quantum states. The mean absolute percentage deviation (MAPD) and the Lippincott criterion ware used as a goodness-of-fit indices to compare our result with the Rydberg-Klein-Rees (RKR) and improved Tietz potential data in the literature. MAPD of 0.2862%, 0.2896% and 0.0662% relative to the RKR data for CO ware obtained. For the improved Wei and Morse potential, our computed energy eigenvalues for CO, H2 and LiH are in excellent agreement with existing results in the literature

Relationship of the deformed hyperbolic Kratzer-like and Tietz potential energy models for diatomic molecules

Taking the dissociation energy and the equilibrium bond length as explicit parameters, we construct an improved form of the deformed hyperbolic Kratzer-like potential function for diatomic molecules. We show that the deformed hyperbolic Kratzer-like potential model is equivalent to the Tietz potential model for diatomic molecules. We observe that the Tietz potential is superior to the Morse potential in reproducing the interaction potential energy curve for the 23Πg state of the 7Li2 molecule.