Extending the double-dispersion Cole-Cole, Cole-Davidson and Havriliak-Negami electrochemical impedance spectroscopy models

Ahmed S Elwakil; Abdulwadood A Al-Ali; Brent J Maundy

doi:10.1007/s00249-021-01545-1

Extending the double-dispersion Cole-Cole, Cole-Davidson and Havriliak-Negami electrochemical impedance spectroscopy models

Eur Biophys J. 2021 Sep;50(6):915-926. doi: 10.1007/s00249-021-01545-1. Epub 2021 May 19.

Authors

Ahmed S Elwakil^{1

2

3}, Abdulwadood A Al-Ali⁴, Brent J Maundy¹

Affiliations

¹ Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. N.W., Calgary, Canada.
² Department of Electrical and Computer Engineering, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates.
³ Nano Integrated Systems Center (NISC), Nile University, Cairo, Egypt.
⁴ Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. N.W., Calgary, Canada. a.a.alali@ieee.org.

PMID: 34009404
DOI: 10.1007/s00249-021-01545-1

Abstract

Double-dispersion impedance models are important for the accurate fitting of spectral impedance measurements in Electrical Impedance Spectroscopy (EIS). While the Cole-Cole model is the most widely known, it is possible to define double-dispersion Cole-Davidson and Havriliak-Negami models as well. In this work, we show that more freedom can be exercised when these three models are combined together and that this combination can be done in various forms. Experimental results using a two-stage optimization algorithm applied on the suggested models are provided.

Keywords: Cole-Cole model; Cole-Davidson model; Double dispersion models; Havriliak-Negami model; Impedance modeling; Impedance spectroscopy; fractional-order models.

MeSH terms

Algorithms*
Dielectric Spectroscopy*
Electric Impedance