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Neopolarogram
The term neopolarogram refers to mathematical derivatives of polarograms or cyclic voltammograms that in effect deconvolute diffusion and electrochemical kinetics. This is achieved by analog or digital implementations of fractional calculus.〔Keith Oldham, Jerome Spanier; "The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order" (Dover Books on Mathematics)〕 The implementation of fractional derivative calculations by means of numerical methods is straight forward. The G1- (Grünwald–Letnikov derivative) and the RL0-algorithms (Riemann–Liouville integral) are recursive methods to implement a numerical calculation of fractional differintegrals. Yet differintegrals are faster to compute in discrete fourier space using FFT.〔Jun-Sheng Yu, Zu-Xun Zhanga; "Differentiation, semidifferentiation and semi-integration of a digital signals based on Fourier transformations"; Journal of Electroanalytical Chemistry; Volume 403, Issues 1-2, 21 February 1996, Pages 1-9; 〕
== Applications ==
The graphs below show the behaviour of fractional derivatives calculated by different algorithms for ferrocene in acetonitrile at 100mV/s, the reference electrode is 0.1M Ag+/Ag in acetonitrile (+0.04V vs. Fc〔Vitaly V. Pavlishchuk and Anthony W. Addison; "Conversion constants for redox potentials measured versus different reference electrodes in acetonitrile solutions at 25 °C"; Inorganica Chimica Acta Volume 298, Issue 1, 30 January 2000, Pages 97-102; 〕).
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