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Rigorous analytical solution for a preceding chemical reaction in Normal Pulse Voltammetry at spherical electrodes and microelectrodes

机译:球形电极和微电极上常规脉冲伏安法中先前化学反应的严格分析溶液

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摘要

The study of electrochemical processes preceded by a homogeneous chemical reaction has been exten_sively tackled in electrochemistry due to the fact that these embrace many real systems of relevance in several scientific fields. The literature abounds with approaches to these systems, most of which assume simplifying hypotheses such as the well-known kinetic steady state approximation, even in pla_nar diffusion. In this paper we present a rigorous analytical solution for CE mechanism in Normal Pulse Voltammetry valid for spherical electrodes of any size, as a series of two dimensionless variables, one related to the chemical kinetics and the other to the electrode sphericity. The rigorous solution has shown an excellent convergence and has permitted us to study, without any limitation, the CE mechanism response and the influence of kinetic rate constants, equilibrium constant, electrode sphericity and initial presence of electrode product. Furthermore, it has been possible to establish the validity of kinetic steady state approximated solution, indicating that this involves significant errors for small values of electrode sphericity, kinetic rate constants and equilibrium constant.
机译:在电化学中研究均相化学反应之前的电化学过程已经得到了广泛解决,因为它们包含了许多科学领域中许多相关的真实系统。关于这些系统的文献很多,其中大多数假设简化了假设,例如众所周知的动力学稳态近似,甚至在等离子体扩散中。在本文中,我们针对正则脉冲伏安法中的CE机理提供了一套严格的分析解决方案,该解决方案适用于任何大小的球形电极,是一系列两个无量纲变量,一个与化学动力学有关,另一个与电极球形有关。严格的解决方案显示出极好的收敛性,使我们能够不受任何限制地研究CE机制响应以及动力学速率常数,平衡常数,电极球形度和电极产物的初始存在的影响。此外,有可能确定动力学稳态近似解的有效性,这表明对于电极球形度,动力学速率常数和平衡常数较小的值,这涉及很大的误差。

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