Abstract
Though literature reports the trends of the significant quantities of the responses for different potential controlled techniques for many different types of mechanisms, direct comparisons between experimental and theoretical responses are often necessary. For an experimenter who wants to calculate a theoretical response, numerical methods are particularly appealing. In particular, digital simulation methods based on finite difference expressions of the differential equations accounting for diffusion and kinetics of the electrode process are probably the simplest numerical techniques to use. Many different models have been proposed. Nonuniform space or space-time discretizations have been suggested to speed up the simulation procedure. As to the analysis of the response, more or less trivial treatments (filtering of noise, background subtraction, convolution or deconvolution procedures, etc.) can lead to signals where the significant quantities can be estimated more accurately. The qualitative and quantitative definition of the operative mechanism can be in part or completely computerized. A key point consists of some general optimization method, such as the Simplex.
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References
Bard, Allen J. and Faulkner, Larry R. (1980) Electrochemical Methods. Fundamentals and Applications, Wiley, New York, and references therein.
Bontempelli, G., Magno, F., Mazzocchin, G.A. and Seeber, R. (1989) ‘Linear sweep and cyclic voltammetry’, Ann.Chim. 79, 103–216, and references therein.
Feldberg, Stephen W. (1969) ‘Digital simulation: a general method for solving electrochemical diffusion-kinetic problems’, in A. J. Bard (ed.), Electroanalytical Chemistry, Vol. 3, M. Dekker, New York, pp.199–296.
Britz, D. (1980) Digital Simulation in Electrochemistry, Springer-Verlag, Berlin, and references therein; Britz, D. (1988) Digital Simulation in Electrochemistry, 2nd Edition, Springer-Verlag, Berlin, and references therein.
Feldberg, Stephen W. (1990) ‘A fast quasi-explicit finite difference method for simulating electrochemical phenomena. Part I. Application to cyclic voltammetric problems’, J. Electroanal. Chem. 290, 49–65.
Rudolph, M. (1991) ‘A fast implicit finite difference algorithm for the digital simulation of electrochemical processes’, J. Electroanal.Chem. 314, 13–22.
Seeber, R. and Stefani, S. (1981) ‘Explicit finite difference method in simulating electrode processes’, Anal.Chem. 53, 1011–1016.
Pilo, Maria I., Sanna, G. and Seeber, R. (1992) ‘Analysis of cyclic voltammetric responses by Fourier transform-based deconvolution and convolution procedures’, J. Electroanal. Chem. 323, 103–115. See references therein for semiintegral and semidifferential electroanalysis, as well as for convolutive potential sweep voltammetry.
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© 1993 Springer Science+Business Media Dordrecht
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Seeber, R., Pilo, M.I., Sanna, G. (1993). Numerical Methods in Synthesis and Analysis of Electrochemical Responses. In: Pombeiro, A.J.L., McCleverty, J.A. (eds) Molecular Electrochemistry of Inorganic, Bioinorganic and Organometallic Compounds. NATO ASI Series, vol 385. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1628-2_42
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DOI: https://doi.org/10.1007/978-94-011-1628-2_42
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