Solid Mixture Permittivities

摘要: A macroscopically homogeneous aggregate contains two materials A, B, with dielectric constants eA, eB, in volume ratio p: (1—p); what is the constant of aggregate? By a method used by Yvon and others molecular theory, this very old problem formulated rigorously solved series form. One form solution e/e′ = 1+⅓p(1—p)(δ′/e′)2+..., where e′ peA+(1—p)eB, δ′ eA — eB. The cubic higher terms depend on statistical properties particle geometry: namely, such functions as p(3)123, probability that three specified points 1, 2, 3 are all material A. relation to earlier calculations discussed.