CXXXIII. Dielectric polarization of a dipolar lattice

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Abstract
This paper is concerned with a rigorous treatment of the dielectric polarization of a model consisting of unpolarizable point dipoles fixed on the sites of a lattice but free to rotate. The dielectric constant of this system is expanded in inverse powers of the temperature as far as T -3. It is shown that for small dipole moments the Debye and Onsager approximate formulae both overestimate the polarization, the Onsager result being the more accurate of the two. Previous treatments of this problem did not make adequate allowance for the long-range effects of boundary field polarization.

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