电化学系统中电流瞬变的一种简洁解析形式
A compact analytical formalism for current transients in electrochemical systems
摘要：
微结构和纳米结构的电极形成了各种各样的电化学系统的一个组成部分，用于生物分子检测，电池，太阳能电池，扫描电化学显微镜等。鉴于电极结构的复杂性，氧化还原反应的Butler-Volmer形式主义，以及氧化还原物种的扩散运输，这并不奇怪，只有少数问题是服从封闭形式，紧凑的分析解决方案。虽然数值解被广泛使用，但通常很难将所获得的见解整合到电化学系统的设计和优化中。在这篇文章中，我们开发了一个全面的分析形式主义的电流瞬变，不仅预测复杂的电极结构的响应复杂的伏安法测量，但也直观地解释不同的实验，如氧化还原检测的分子在纳米间隙电极，扫描电化学显微镜等分析模型的结果，以及支持通过详细的数值模拟和实验数据从文献中，对用于保健和能量存储应用的纳米结构电极的设计和优化具有广泛的影响。
英文摘要：
Micro and nanostructured electrodes form an integral part of a wide variety of electrochemical systems for biomolecule detection, batteries, solar cells, scanning electrochemical microscopy, etc. Given the complexity of the electrode structures, the Butler-Volmer formalism of redox reactions, and the diffusion transport of redox species, it is hardly surprising that only a few problems are amenable to closed form, compact analytical solutions. While numerical solutions are widely used, it is often difficult to integrate the insights gained to the design and optimization of electrochemical systems. In this article, we develop a comprehensive analytical formalism for current transients that not only anticipate the response of complex electrode structures to complicated voltammetry measurements, but also intuitively interpret diverse experiments such as redox detection of molecules at nanogap electrodes, scanning electrochemical microscopy, etc. The results from the analytical model, well supported through detailed numerical simulations and experimental data from literature, have broad implications for the design and optimization of nanostructured electrodes for healthcare and energy storage applications.
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