Systematic Analysis to Determine the Dielectric Phase Parameters from Dielectric Relaxations Caused by Diphasic Structure of Disperse Systems

A systematic method is proposed to estimate the relative permittivity, the electrical conductivity and the volume fraction of the disperse phase from dielectric relaxation due to diphasic structure in spherical disperse systems. On the basis of Wagner's and Hanai's theory of interfacial polari-zation, theoretical expressions of practical use are derived for i) a system with non-conducting disperse phase, ii) a system with non-conducting continuous phase, and iii) a general system. Since the relations derived for the general case are of a complicated nature on evaluating the roots, some remarks are given to perform computer-searching for numerical solutions of the equations. The relations derived were applied to dielectric data of an oil-in-water emulsion, a water-in-oil emulsion, and a suspension of Sephadex G-25 in water to estimate the permittivity, the conductivity and the concentration of the disperse phase for the respective systems. For the disperse systems considered, the dielectric relaxation profiles were represented satisfactorily by Hanai's theory. I