CALCULATION OF VARIOUS RELAXATION-TIMES AND CONDUCTIVITY FOR A SINGLE DIELECTRIC-RELAXATION PROCESS

Various dielectric functions, i.e., ε{lunate}*, tanδ, M*, Z* and Y*, have been used to calculate the corresponding time constants for three relaxation models: (1) Debye, (2) Cole-Cole and (3) ideal conduction. It has been proved that each dielectric function gives rise to a different relaxation time which follows the general order: τε{lunate}≥τy>τtanδ>τz≥τm. The difference between them depends largely on the dielectric relaxation ratio, ε{lunate}s ε{lunate}∞, as well as the distribution parameter, α. Moreover, on a logarithmic scale, the loss tangent relaxation time is equal to the average relaxation time for any pair of inverse complex functions, e.g., ε{lunate}* and M*, Z* and Y*. The relationships between the relaxation times illustrate the advantages of using different dielectric functions to analyze experimental data. The relaxation times have also been related to the dielectric conductivity in the Debye and ideal conduction cases. © 1990.