Study of Solid-state Diffusion Impedance in Li-ion Batteries using Parallel-diffusion Warburg Model

19 March 2024, Version 1
This content is a preprint and has not undergone peer review at the time of posting.


Anomalous diffusion impedance due to the solid-state Li+ diffusion in Li-ion batteries is often troublesome for the analysis. In this work, we propose a novel analytical Parallel-diffusion Warburg (PDW) model and couple it with the conventional equivalent electrical circuit model (EECM) analysis to tackle this long-standing challenge. The analytical expression of the PDW is derived from the classical Fickian diffusion framework, introducing non-unified diffusion coefficients that originate from the diverse crystalline conditions of Li+ diffusion paths, as theoretically demonstrated in the atomistic modelling results. The proposed approach (EECM + PDW) is successfully employed to study the diffusion impedance of thin-film LiNi0.5Mn1.5O2 (LNMO) electrodes and porous LiNi0.80Co0.15Al0.05O2 (NCA) electrodes, demonstrating the applicability and robustness of this method.


Electrochemical impedance spectroscopy
Lithium-ion battery
Solid-state diffusion
Warburg model
EIS analysis

Supplementary materials

Supplementary Figures and Tables
This document includes supplementary Figures and Tables that were presented in the manuscript. Although these figures and tables are not essential for understanding the manuscript's primary conclusions, they offer extensive background information that can enhance the reader's comprehension.

Supplementary weblinks


Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.