Havriliak-Negami Dielectric Functions and Transmission Line Models for Effective Impedance Spectroscopy in Materials Science and Research and More
Abstract: In contrast to conventional impedance analysis focusing on separation of the resistance components, series connected, a new paradigm in impedance analysis consists of modeling based on the capacitance effects, which are often additive and thus parallel connected. They can be parametrized by Havriliak-Negami dielectric functions and/or transmission line (TL) models, which can be directly related to the physicochemical mechanisms. These models, only with a few well-defined parameters, allow surprisingly excellent description of nontrivial impedance responses of various materials and systems. The examples are solid electrolytes of many kinds (Li+, Na+. H+, O2-), lithium-ion and sodium-ion batteries, solid oxide fuel cells, microbial fuel cells, supercapacitors, photoelectrochemical cells, electrolysis cells, photovoltaic (organic) solar cells, (organic) light emitting diodes, semiconductor sensors, … and even human bodies.