Current and Optimal Dimensions Predictions for a Porous Micro‐Electrode,ChemElectroChem

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Current and Optimal Dimensions Predictions for a Porous Micro‐Electrode
ChemElectroChem ( IF 3.5 ) Pub Date : 2020-05-10 , DOI: 10.1002/celc.202000508
Tien D. Le ₁ , Didier Lasseux ₂

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The expression of the current delivered by a cylindrical porous micro‐electrode operating a single heterogeneous reaction and mass diffusion of the reagent is analytically derived in this work from a complete solution of the diffusion/reaction macroscopic problem. This solution is valid regardless of the aspect (thickness to inner radius) ratio. It encompasses the hybrid solution reported elsewhere, valid only when this ratio remains small compared to unity, and, consequently, the case of a planar electrode as well. The asymptotic form of the solution in this latter case is also provided. The complete solution is used to predict the optimal thickness of the electrode and its optimal inner radius (i. e . the supporting wire radius) corresponding to the best compromise between a minimum electrode volume and a maximum current per unit volume. This work hence provides a complete optimization procedure that can be used as predictive tools for the design of porous electrodes.

中文翻译：

多孔微电极的电流和最佳尺寸预测

在这项工作中，从扩散/反应宏观问题的完整解决方案中，分析性地得出了由圆柱形多孔微电极进行的单次异质反应和试剂的质量扩散所传递的电流的表达式。无论纵横比（厚度与内半径）的比率如何，此解决方案都是有效的。它涵盖了其他地方报道的混合溶液，仅当该比率相对于单位比率保持较小时才有效，因此，对于平面电极也是如此。在后一种情况下，还提供了解决方案的渐近形式。完整的解决方案用于预测电极的最佳厚度及其最佳内半径（即。支撑线半径）对应于最小电极体积和每单位体积最大电流之间的最佳折衷。因此，这项工作提供了一个完整的优化程序，可用作多孔电极设计的预测工具。

更新日期：2020-07-16

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