Impedance spectroscopy – comparison of dielectric models with a real RC circuit

Abstract

When studying heterogeneous systems, it is necessary to know properties of all present phases and also structure and behaviour of their mutual interfaces. A discrete model respects atomic structure of bodies (atomic in the sense of particles as carriers of homogeneous properties). It replaces individual atoms with mass points called particles whilst each one of them is a carrier of properties (attributes). The goal of the mathematical formulation of a discrete model is assigning values to particles’ properties. These are displays from a set of particles into a set of attribute values. In general, each one of these displays is a time function. In the paper, we compare a parallel RC circuit with a model outcome. Real electrotechnical components were used: a resistor and a capacitor, which are commonly available in electrical component shops. The accuracy of the value of electrical capacity is below 20 %, the accuracy of the value of electrical resistance is below 5%. The guide value was determined using the Tesla BM595 bridge RLCG meter. R = 9.58 MΩ, C = 10.25 pF – measured at frequency of 1000 Hz. An electrically conductive parallel connection of the resistor and the capacitor was inserted between electrodes and a conductive contact was made.