Abstract The cyclic voltammetry of a reversible one-electron-transfer electrochemical reaction is investigated using finite difference simulations at three electrode geometries: an ‘infinitely long cylinder’ electrode featuring a cylindrical electrode with an infinite length, an ‘annular band’ electrode, whose band-shape electrochemically active area is located around an infinitely long insulating cylinder, and a ‘full cylinder’ electrode which resembles the microwire electrodes widely used in electrochemical experiments with both side and end active. Following the simulation of the infinitely long cylindrical electrode, a polynomial equation is introduced to describe the forward peak potentials at different scan rates. Based on further simulations of the other two electrodes, we find if the lengths of the latter are greater than ~ 104 times the radius of the cylinders, the electrochemical reversible cyclic voltammetry of them can be well described by the infinitely long cylinder model with errors of less than 1%.

中文翻译：

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圆柱形电极的可逆伏安法：一维模型的有效性

摘要 可逆单电子转移电化学反应的循环伏安法在三个电极几何形状上使用有限差分模拟进行了研究：“无限长圆柱”电极具有无限长的圆柱电极，“环形带”电极，其带-形电化学活性区域位于无限长的绝缘圆柱体周围，以及类似于电化学实验中广泛使用的微丝电极的“全圆柱体”电极，具有侧面和末端活性。在模拟无限长圆柱电极之后，引入多项式方程来描述不同扫描速率下的正向峰值电位。基于另外两个电极的进一步模拟，