2 NEW EXACT CRITERIA FOR HARD-SPHERE MIXTURES

Two exact criteria are derived for multicomponent hard-sphere mixtures with additive diameters, based on geometrical arguments similar to th ose employed by scaled particle theory. Both criteria involve derivati ves with respect to particle size of excess chemical potentials at inf inite dilution in the mixture. One relates these derivatives to the co ntact values of the pair distribution functions and the other to the c ompressibility factor of the mixture. We show an application of the se cond criterion to evaluating hard-sphere mixture equations of state.