Eur. Phys. J. Plus (2018) 133: 422
https://doi.org/10.1140/epjp/i2018-12210-0

Regular Article

Energy spectra and the expectation values of diatomic molecules confined by the shifted Deng-Fan potential

¹ Department of Physics, Federal University Oye-Ekiti, P. M. B. 373, Ekiti State, Nigeria
² Theoretical Physics Section, Department of Physics, University of Ilorin, Ilorin, Nigeria

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 11 July 2018
Accepted: 22 August 2018
Published online: 18 October 2018

Abstract

The approximate bound state solutions of the Schrödinger equation with the shifted Deng-Fan potential was obtained via a proper quantization rule. The energy spectra for the homogenous diatomic molecules (H₂, I₂); the heterogeneous diatomic molecules (CO, HCl, LiH); the neutral transition metal hydrides (ScH, TiH, VH, CrH); the transition-metal lithide (CuLi); the transition-metal carbides (TiC, NiC); the transition metal nitrite (ScN) and the transition metal fluoride (ScF) were calculated. By applying the Hellmann-Feynman theorem, the expression for the expectation values of the square of inverse of position r^-2, potential energy V, kinetic energy T and the square of momentum p² were derived and the numerical values for diatomic molecules were presented. The result is reliable and very consistent with the available ones in the literature.