线性扫描伏安法电流方程及其导数的研究

Studies on the Current Equation of Linear Scanning Voltammetry and Its Derivatives

用半微积分算符推导出线性扫描伏安法的电流方程,并用G1-算法编程解这电流函数,得到的结果与Oldham的结果一致,同为当前测得最准确的值;还用一个式子综合表示各阶导数,较准确地得到常规和各阶(一、二、三阶)导数的理论图形及其峰电流和峰电势方程。

Derivation of the current equation of linear scanning voltammetry with areversible electrode reaction on a plane electrode with convenient semidifferentialoperator and semiintegral operator was presented. The values of the current func-tion were calculated with Cl-algorithm by means of programming and the dataobtained were compared with those of Oldham's. It was found that they agreewith each other completely and both are the most accuratae data up to now, at thepeak potantial (nF/RT) (E_p-E 1/2)=1.1090, the peak value of current was 0.44629.The curves and expressions of the current function and its first, second andthird order differentiations were also given.