Molecular theory of dielectric relaxation

Abstract
A new formal relation is obtained for the frequency−dependent dielectric constant of a polar material in terms of a dipole ’’memory function,’’ i.e., a modified correlation function with projected propagator. In contrast to conventional expressions for the dielectric constant in terms of dipole−dipole correlation functions, the memory function expression does not depend on sample shape. The memory function may thus be calculated either by considering the total dipole moment of a molecular sample in vacuum or the dipole moment of a smaller region embedded in the sample. It is shown that this formalism agrees with usual expressions for the dielectric constant and particular relations between the dielectric constant and dipole correlation functions of embedded regions.

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