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The Deng-Fan-Eckart (DFE) potential is as good as the Morse potential instudying atomic interaction in diatomic molecules. By using the improvedPekeris-type approximation, to deal with the centrifugal term, we obtain thebound-state solutions of the radial Schr\"odinger equation with this adoptedmolecular model via the Factorization Method. With the energy equationobtained, the thermodynamic properties of some selected diatomic molecules(H2 ,CO , and ScN ) were obtained using Poisson summation method.. The unnormalizedwave function is also derived. The energy spectrum for a set of diatomicmolecules for different values of the vibrational n and rotational l areobtained. To show the accuracy of our results, we discuss some special cases byadjusting some potential parameters and also compute the numerical eigenvalueof the Deng-Fan potential for comparison sake. However, it was found out thatour results agree excellently with the results obtained via other methods.

Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach