A statistical calculation of the average internal field in a dielectric is carried out. The following relation is obtained between the dielectric constant, ε, and the molecular polarizability, p₀: ε-1ε+2V=4πNp₀311-λ_0ρ where V is the molal volume, ρ is the density and λ₀=32π²N²P₀²45B(1+1/3A/BRT). Here A and B are the constants of a van der Waal type equation of state. This expression becomes identical with the familiar Clausius-Mosotti relation in the limit of zero density. The formula is applied to dielectric constant measurements on several gases.
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Keyes et al. (1931) studied this question.
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