T. Pajkossy, POTENTIAL PROGRAM INVARIANT REPRESENTATION OF VOLTAMMETRIC MEASUREMENT RESULTS OF REVERSIBLE REDOX COUPLES, Journal of electroanalytical chemistry [1992], 422(1-2), 1997, pp. 13-19
The use of a transformation is proposed by which the results of voltam
metric measurements based on diffusion of reversible redox couples to
an electrode of any geometry can be presented in the form of a standar
dized function T. To characterize the time dependence of the diffusion
we define the function G(s) by writing the Cottrell response of the s
pecies i in the form (I) over bar(i,Cottrell)(s) = +/- K(i)c(i) G(s)/
s where K-i is a constant, c(i) the bulk concentration of the diffusi
ng species, s the Laplace variable; then we show that: (a) any voltamm
etric curve ((I) over bar(s)) measured in the same system can be trans
formed to potential program invariant form by computing the function T
= L-1{(I) over bar(s)/G(s)}; (b) the diffusional admittance of the sa
me system is expressed by Y(s) = G(s)dT/dE; (c) one can perform the tr
ansformation yielding the potential program invariant form by passing
the I(t) function through a numeric filter having 1/G(s) transfer char
acteristics.