Analysis of Experimental Results by the Havriliak–Negami Model in Dielectric Spectroscopy
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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 ε S and high-frequency ε∞ dielectric permittivity, frequency dispersion indices α and β, and relaxation time τ. As an example, the parameters ε S , ε∞, α, β, and τ 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°C.
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