A Mathematical Treatment of the Electric Conductivity and Capacity of Disperse Systems ii. The Capacity of a Suspension of Conducting Spheroids Surrounded by a Non-Conducting Membrane for a Current of Low Frequency

Mathematical theory.---The following formula for the specific capacity C of the suspension, i.e., the parallel capacity of a one centimeter cube of the suspension, is derived in terms of the capacity C₀ of one cm² of the membrane surrounding the spheroids, the major axis $2q$ of a spheroid, the specific resistances r and r₁ of suspension and suspending phase, and a constant a which depends only on the axis ratio a/b of the spheroid: C=C₀aq(1-r₁r). The values of a are given in a table. One application of the formula is the determination of the thickness of interphasial membranes (biological, adsorptive, chemical). The formula can also be used for a suspension of polarizable homogeneous spheroids when the polarization resistance is small compared to the impedance of the polarization capacity.