The values of atomic parameters, k and dk/dN, used in the analysis of Auger parameter shifts have been determined from the results of atomic structure calculations for the elements K to Kr. The values of the parameters for free atoms have been corrected for the effect of valence electron compression in solids. Calculations for Ni and Ge shows that the values obtained for the atomic parameters are independent of the configuration of passive valence electrons and of the character of the inner shell core hole.