Abstract:
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 $\varepsilon_ S$ and high-frequency $\varepsilon_\infty$ dielectric permittivity, frequency dispersion indices $\alpha$ and $\beta$, and relaxation time $\tau$. As an example, the parameters $\varepsilon_{S}$, $\varepsilon_\infty$, $\alpha$, $\beta$, 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 0$^{\circ}$C.