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

. 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 (H 2 , I 2 ); 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 p 2 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.