Some remarks on the theory of the dielectric constant of non-polar dense gases

Abstract

It is pointed out that the usual simple theory of the dielectric constant in isotropic nonpolar media, based on a model with constant polarizability and with dipolar interaction between atoms, is consistent only if the atoms are assumed to have a hard core, so that they cannot approach each other too closely.The expansion of the dielectric constant in powers of the polarizability o¢ is obtained in a simple way. The two-particle contribution to the deviation S (c¢, o, T) from the law of Clausius-Mossotti is summed to all orders in ~ and in particular the term of S(oqg, T) linear in the density 9 is discussed.

Two-particle cluster integral in the expansion of the dielectric constant

“…We first note that (with e 1 = 1) the result (5.4) is equivalent with that obtained by Buckingham and Pople (4) and by Isihara (15) in their discussions of the virial expansion of the Clausius-Mossotti function (e*-1) /(e* + 2). We have commented on this expansion in paper I. Nijboer (16) found the same result by a resummation of the Kirkwood-Yvon series expansion. We remark incidentally that the statement by Buckingham and Pople that the singularity in the integral (5.4) at R 3 = 2a/q is artificial is not correct.…”