We establish, in general terms, the conditions to be satisfied by a time-fractional approach formulation of the Poisson-Nernst-Planck model in order to guarantee that the total current across the sample be solenoidal, as required by the Maxwell equation. Only in this case the electric impedance of a cell can be determined as the ratio between the applied difference of potential and the current across the cell. We show that in the case of anomalous diffusion, the model predicts for the electric impedance of the cell a constant phase element behaviour in the low frequency region. In the parametric curve of the reactance versus the resistance, the slope coincides with the order of the fractional time derivative.
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）
Electrochemical Analysis of Na$_{0.74}$Co$_{1-x}$Nb$_x$O$_2$ ($x=$ 0, 0.05) as Cathode Materials in Sodium-ion Batteries
钠离子电池（SIB）由于钠的大量可用性和低成本而作为能量存储应用的有前途的替代品受到了极大的关注。本文研究了用固相反应法合成的Na $_{0.74}$ Co $_{1-x}$ Nb $_x$ O $_2$（$x=$ 0和0.05样品）的电化学行为。Rietveld精修的X-射线衍射图揭示了六方晶体对称性与P63/mmc空间群。Na $_{0.74}$ Co $_{0.95}$ Nb $_{0.05}$ O $_2$阴极在6 mAg $^{-1}$的电流密度下表现出约91 mAhg $^{-1}$的比容量，而Na $_{0.74}$ CoO $_2$表现出相对低的比容量（在6 mAg $^{-1}$的电流密度下为70 mAhg $^{-1}$）。进行循环伏安法（CV）和电子阻抗谱（EIS）以确定Na的扩散系数，发现其在10 $^{-10}$ cm $^2$ s $^{-1}$的范围内。
Revealing the interfacial kinetic mechanisms in high-entropy doped Na$_3$V$_2$(PO$_4$)$_3$ through electrochemical investigation and distribution of relaxation times
Electrochemical performance and diffusion kinetics of a NASICON type Na$_{3.3}$Mn$_{1.2}$Ti$_{0.75}$Mo$_{0.05}$(PO$_4$)$_3$/C cathode for low-cost sodium-ion batteries
Self-discharge mitigation in a liquid metal displacement battery
最近，一个颠覆性的想法是关于发现一种新型电池，称为液体置换电池（LDB），包括液体金属电极和熔融盐电解质。这种电池的特点是一个新的概念，多孔电子导电法拉第膜，而不是传统的离子选择性陶瓷膜。LDB对于固定存储应用是有吸引力的，但需要减轻自放电。在即时电池化学中，Li| LiCl-PbCl $_2$|铅，降低铅离子的扩散系数可以是一个前进的方向，解决方案可以是在电解液中加入PbO。后者作为一个补充屏障，补充了法拉第膜的功能。补救措施将电池的库仑效率从92%提高到97%，而不影响电压效率。此外，500 mAh电池的极限电流密度从575 mA cm $^{-2}$增加到831 mA cm，极限功率从2.53 W增加到3.66 W。最后，研究了PbO对电池阻抗和极化的影响。
