阶梯扫描伏安法与线性扫描伏安法相关性的理论研究──简单可逆体系

Theoretical Study on Correlation Between Linear Sweep Voltammetry and Staircase Voltammetry──Simple Reversible Electrode Proccess

本文采用Reimann－Stielties（黎曼－斯提杰斯）级数展开法，推导了简单可逆电极体系的线性扫描伏安法和阶梯扫描伏安法的电流方程式，得到了能有机地统一这两种最为基本的伏安法的电流函数表达式。表达式简明直观。在无因次电流函数的基础上，详细讨论了制约阶梯扫描伏安法和线性扫描伏安法之间相关程度的各因素，获得了一些新的结论。

By using Reimann-Stielties series expansion method, two new current equations of linear sweep voltammetry and staircase voltammetry are obtained, which natrually bring the two basic voltammetry togather. Analyzing their current function in non-dimentionl ev el, the results show: their 'resemblance' was constrained not only by the sampling fraction α, but also by the stair number N. When α=0. 303, the influence of N becomes very small,and when N→∞, the effect of α is negligible. Especially t in the case of N→∞, α= 1. 0, the current function of staircase voltammetry is thoroughly idential to that of linear sweep voltammetry.