Thermal properties of three-dimensional Morse potential for some diatomic molecules via Euler-Maclaurin approximation

The purpose of this study is to develop a method of calculating the vibration partition function of diatomic molecules for the Morse potential energy. After a brief introduction about the eigensolutions obtained for the problem in question.Via the Euler-Maclaurin formula, we determine the thermal properties for four diatomic molecules, such as H-2, HCl, LiH, and CO. These different cases are exposed and explained by the appropriate plots of the thermal properties. In addition, we show that our method to calculate the thermal properties can be used to determine important thermodynamic quantities.