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We extend results developed by Chandler [J. Chem. Phys. 65, 2925 (1976)] forthe dielectric constant of neutral site-site molecular models to mixtures ofboth charged and uncharged molecules. This provides a unified derivationconnecting the Stillinger-Lovett moment conditions for ions to standard resultsfor the dielectric constant for polar species and yields exact expressions forthe small-k expansion of the two-point intermolecular charge-density functionused to determine the total Coulomb energy. The latter is useful in determiningcorrections to the thermodynamics of uniform site-site molecular modelssimulated with spherically truncated Coulomb interactions.

Exact relations between charge-density functions determining the total  Coulomb energy and the dielectric constant for a mixture of neutral and  charged site-site molecules