Analysis of Experimental Results by the Havriliak-Negami Model in Dielectric Spectroscopy

摘要

The problem of identifying experimental results on studying frequency dependences of the real and imaginary parts of dielectric permittivity concerning the correspondence to one of accepted frequency dispersion models: Debye, Cole-Cole, Davidson-Cole, and Havriliak-Negami models is considered. Based on expressions for components of complex dielectric permittivity with the use of mathematical analysis, a sequence of steps for the determination of the following characteristic parameters of the generalized Havriliak-Negami model is developed: static epsilon (S) and high-frequency epsilon(a) dielectric permittivity, frequency dispersion indices alpha and beta, and relaxation time tau. As an example, the parameters epsilon (S) , epsilon(a), alpha, beta, and tau are calculated for a sample of a frozen disperse medium based on fine-grained quartz powder at a humidity of 13% in a temperature range from -140 to 0A degrees C.