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- W1987677941 abstract "The existence of the dielectric constant ε is investigated for fluid mixtures of rigid polar molecules. The investigation is performed using the functional-derivative formalism for mixtures, and is closely analogous to that previously carried out for pure dipolar fluids [J. Chem. Phys. 68, 5199 (1978)]. Sufficient conditions for the existence of ε are obtained in terms of the direct correlation function matrix cαβ(12). It is found that ε exists if cαβ(12) depends only on relative positions and orientations, and becomes asymptotic to −ϑαβ(12)/kT at long range, where ϑαβ(12) is the dipole–dipole potential between a molecule of species α and one of species β. An expression for ε in terms of the short-range total correlation function matrix emerges automatically from the development. This expression is equivalent to an earlier result obtained by a different method. Expressions for ε in terms of cαβ(12) are derived for axially symmetric molecules and for molecules of arbitrary symmetry. In the former case, the expression involves the inverse of an Nc×Nc matrix, where Nc is the number of components in the mixture. This expression facilitates the evaluation of ε in the mean spherical approximation. For molecules of arbitrary symmetry, the expression for ε in terms of cαβ(12) involves the inverse of an Nc×Nc supermatrix, each element of which is a 3×3 matrix." @default.
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- W1987677941 date "1981-10-01" @default.
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- W1987677941 title "Existence of the dielectric constant in dipolar fluid mixtures" @default.
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- W1987677941 doi "https://doi.org/10.1063/1.442460" @default.
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