Abstract
The application is discussed of the expression for the compressibility, in terms of the long wavelength limit of the structure factor, to a liquid metal. Taking density-dependent pair potentials obtained by perturbation of the electron gas by a model potential, it is shown that in order to obtain agreement with the result obtained by direct differentiation of the pressure with respect to volume when phi q, the Fourier transform of the pair potential, is calculated to second order in the model potential for a general q, the contributions of second order in the model potential must be included in the mean value phi 0. These terms arise as the q to 0 limits of the terms which for a general q are of third and fourth order in the model potential. The author also shows by direct calculation, using the Ashcroft model potential, that the resulting contribution to the compressibilities of the simple liquid metals is considerable.
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