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Digital Simulation in Electrochemistry pp 251–337Cite as

Two (and Three) Dimensions

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Part of the book series: Monographs in Electrochemistry ((MOEC))

Abstract

Electrochemical cells are of course three-dimensional (and in fact there is a section in this chapter on three-dimensional geometry, Sect. 12.4.1). In preceding chapters, symmetry or the absence of concentration gradients in two of these dimensions has been assumed, thus conveniently reducing the system to one dimension. This is not always possible, and in fact in recent decades, some of the most popular electrodes require at least two dimensions for reasonable simulations. These are first and foremost the ultramicroelectrodes (UMEs), in their various forms of disk and band electrodes, among others. Some modern electrochemical techniques such as scanning electrochemical microscopy employ UMEs. UMEs have also been assembled into arrays of such, increasing the simulation difficulties. Fortunately, the vast majority of these UMEs have zero gradients in one of the three directions, or two of the three directions share the same geometry and thus require “only” two dimensions for their representation.

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Notes

  1. 1.

    These values were kindly communicated to us by Dr. Peter Mahon, Swinburne University of Technology, Melbourne, Australia.

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  1. Aarhus University, Aarhus, Denmark

    Dieter Britz

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    Jörg Strutwolf

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Britz, D., Strutwolf, J. (2016). Two (and Three) Dimensions. In: Digital Simulation in Electrochemistry. Monographs in Electrochemistry. Springer, Cham. https://doi.org/10.1007/978-3-319-30292-8_12

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