Approximate energy spectra of improved generalized Mobius square potential (IGMSP) for some diatomic hydride molecules.

By employing the dissociation energy and equilibrium bond length as explicit parameters, we obtained the improved generalized Mobius square potential (IGMSP) model. We also defined the IGMSP parameters in terms of the molecular spectroscopic parameters. The IGMSP has been used to model inter-nuclear interaction potential curves for different diatomic hydrides.

Bound state solutions of Schrödinger equation with modified Mobius square potential (MMSP) and its thermodynamic properties.

We solved the Schrödinger equation with the modified Mobius square potential model using the modified factorization method. Within the framework of the Greene-Aldrich approximation for the centrifugal term and using a suitable transformation scheme, we obtained the energy eigenvalues equation and the corresponding eigenfunction in terms of the hypergeometric function. Using the resulting eigenvalues equation, we calculated the vibrational partition function and other relevant thermodynamic properties.