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- W2140390858 abstract "AbstractElectrochemical cells are of course three-dimensional. In preceding chapters, symmetry or a lack 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 ultramicro electrodes (UMEs), in the various forms of a disk, band electrodes, and more recently the scanning electrochemical microelectrodes, as well as others. UMEs have also been assembled into arrays of such, increasing the difficulties. All of these fortunately have zero gradients in one of the three directions and thus require “only” two dimensions for their representation. Going from one to two dimensions, however, is a major step, requiring programming sophistication in order to avoid using too much computing time for a given simulation. In what follows here, the ultramicrodisk electrode (UMDE) will serve as the model for how to proceed, although the others are mentioned, and references and some theory are provided.KeywordsConformal MappingDisk ElectrodeCurrent IntegrationDisk RadiusPotential JumpThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W2140390858 created "2016-06-24" @default.
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- W2140390858 date "2005-01-01" @default.
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- W2140390858 title "Two-Dimensional Systems" @default.
- W2140390858 doi "https://doi.org/10.1007/978-3-540-31524-7_12" @default.
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