Clausius-Mossotti, continuum

We saw in Ref. 4 that when H (r) is set equal to zero in the pair potential given by (2.44), we recover in the continuum limit the Clausius-Mossotti equation for e. We can relate this directly to our discussion here by noting that as Y- 0, c(12) assumes the form given by (2.62) and (2.71) because... 

Continuum models have a long and honorable tradition in solvation modeling they ultimately have their roots in the classical formulas of Mossotti (1850), Clausius (1879), Lorentz (1880), and Lorenz (1881), based on the polarization fields in condensed media [32, 57], Chemical thermodynamics is based on free energies [58], and the modem theory of free energies in solution is traceable to Bom s derivation (1920) of the electrostatic free energy of insertion of a monatomic ion in a continuum dielectric [59], and Kirkwood and Onsager s... 

H. A. Lorentz, Theory of Electrons, Teubner, Leipzig, 1909 (reprinted by Dover, New York, 1952). O. F. Mossotti, Bibl. Univ. Modena, 6, 193 (1847) Mem. Math. Fis. Modena, 24 11, 49 (1850). R. Clausius, Die mechanische Warmetheorie Vol. 11, Braunschweig, 1879. In Ann. Phy., 49, 1 (1916), Ewald showed that for a lattice of polarizable atoms of cubic symmetry, the local field is essentially that of the continuum considered by Lorentz. 

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