An interaction potential of the form A/R10—B/R6 for two argon atoms is assumed. The values of A and B are evaluated using the heat of sublimation and the lattice constant at temperature T=0°K and pressure p=0. By assuming that each atom moves in a potential field because of all the other atoms at rest in their mean positions, a theory is developed for anharmonic vibrations using the perturbation theory for a harmonic oscillator. The partition function for each argon atom is obtained and the equation of state is calculated. The specific-heat equation obtained represents a correction of the Einstein form. The specific heats at constant pressure are calculated as a function of temperature and deviate from the experimental ones by only 3 percent at low temperatures (15°K—30°K) and only 1 percent at higher temperatures. The isothermal elastic coefficients C11, C12, and C44 are calculated by Born's method without neglecting the part played by the thermal energy. The Cauchy relation is found to be invalid, C44 being about twice C12 at the higher temperatures.

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The phenomenon of induced polarization is treated as an induced electromotive force, leading to a polarization constant which is included in the effective resistivity of polarizable materials, such as earth materials. The transmission of sinusoidal electromagnetic waves through a polarizable earth is treated for frequencies above 30 cps. The polarization induced in a two‐layer earth is treated theoretically and calculations are presented.