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In this paper we use the Nikiforv-Uvarov method to obtain the approximatesolutions of the Klein-Gordon equation with deformed five parameter exponentialtype potential (DFPEP) model. We also obtain the solutions of the Schr\"odingerequation in the presence of the DFPEP in the non-relativistic limits. Inaddition, we calculate in the nonrelativistic limits the thermodynamicsproperties such as vibrational mean energy U, free energy F and the specificheat capacity C . Special cases of the potential are also discussed.

Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions