We develop a mathematical framework to analyze electrochemical impedance spectra in terms of a distribution of diffusion times (DDT) for a parallel array of random finite-length Warburg (diffusion) or Gerischer (reaction-diffusion) circuit elements. A robust DDT inversion method is presented based on Complex Nonlinear Least Squares (CNLS) regression with Tikhonov regularization and illustrated for three cases of nanostructured electrodes for energy conversion: (i) a carbon nanotube supercapacitor, (ii) a silicon nanowire Li-ion battery, and (iii) a porous-carbon vanadium flow battery. The results demonstrate the feasibility of non-destructive "impedance imaging" to infer microstructural statistics of random, heterogeneous materials.
Accelerating Electrochemical Impedance Spectroscopy Measurements by Reducing Reliance on Noisy Low-Frequency Data
University of Toronto（多伦多大学）；SEKISUI CHEMICAL CO., LTD（积水化学工业株式会社）；National Research Council Canada（加拿大国家研究委员会）；Schwartz Reisman Institute for Technology and Society（施瓦茨·莱斯曼技术与社会研究所）；Acceleration Consortium, University of Toronto（加速联盟，多伦多大学）；CanmetMATERIALS, Natural Resources Canada（加拿大自然资源部CanmetMATERIALS材料研究中心）；Vector Institute for Artificial Intelligence（向量人工智能研究所）
Molecular interpretability of the bulk electrochemical impedance of concentrated electrolytes
Yusuf Hamied Department of Chemistry, University of Cambridge（剑桥大学尤素夫·哈米德化学系）；Department of Chemistry, Durham University（杜伦大学化学系）；Sorbonne Université, CNRS, Physical Chemistry of Electrolytes and Interfacial Nanosystems (PHENIX)（索邦大学，法国国家科学研究中心，电解质和界面纳米系统物理化学（PHENIX））；Réseau sur le Stockage Electrochimique de l’Energie (RS2E), FR CNRS 3459（电化学储能网络（RS2E），FR CNRS 3459）
Revealing the interfacial kinetic mechanisms in high-entropy doped Na$_3$V$_2$(PO$_4$)$_3$ through electrochemical investigation and distribution of relaxation times
