Publication costs assisted by the CUNY Faculty Research A ward ProgramGeneral expressions for the free energy of an arbitrary discrete electrostatic charge distribution in a prolate or oblate spheroidal cavity in a homogeneous polarizable dielectric continuum are derived and discussed. The derivation is checked by correspondence with expressions for special cases previously reported and by correspondence with the analogous expression for the spherical case as the cavity dimensions approach those of a sphere. The results are useful for elementary theoretical treatments of environmental effects on molecular structure and properties.
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