“…In this study, we apply the mean-spherical-approximation for deriving a specific heat formula of Morse potential which can be derived in multiple form such as: where Κ 0 represents the energy (equilibrium) of the interaction potential, a is the width of well parameter and r 0 is the equilibrium bond distance. The Morse potential has multiple applications in lots of chemical physics subjects, for instance: the discussing of the thermal properties of a specific system such as the diamond class materials and finding the constants of the vibrational force and the elastic properties [ 10 – 12 ], the discussing of the correlations in alloys phases [ 13 ], the discussing of the spectral analysis [ 14 ], in the study of some quantum effects [ 15 , 16 ], discussing the energy vibrational states [ 17 , 18 ], discussing the alpha decay [ 19 ], the study of the structures with other potentials [ 20 – 22 ], the study of the some dimers where this potential has wide applications [ 22 , 23 ]. In the section-2 of this article, we illustrate the method of deriving of the specific heat equation, and in the section-3, we discussed some aspects of the equation which we derive in addition to the applications of it.…”