An analytical expression for short-range pair potential in polyvalent metals has been derived in the framework of the pseudopotential model. The similarity between new expression and well- known Morse functions is emphasized. Moreover, it is shown that within actual region of inter-atom distances in metal these expressions are interchangeable. A validity of the nearest- neighbor approximation, i.e. prevalence of short-range interaction in the cohesion, was found to be a sufficient base for calculation of compression dependences of the Gruneisen parameters for certain polyvalent metals. Besides this, by the use of experimental data, reasonable values for the pseudopotential model parameters have been obtained.
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