Electrode “edge effects” analyzed by the Green function method |
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Authors: | Keith B Oldham |
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Institution: | aDepartment of Chemistry, Trent University, Peterborough, Ont., Canada K9J 7B8 |
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Abstract: | An exact method based on Green's equation is used to find the diffusion-controlled faradaic current for certain electrode geometries that incorporate edges and vertices. Thereby the magnitudes of the time-independent current density associated with angled electrode/electrode and electrode/insulator junctions are calculated. As well, the square-root-of-time-dependent currents associated with vertices, receive attention. These terms extend to longer times, the Cottrell formulation appropriate for short times. Though most of the problems solved here have been tackled previously, the novel Green function approach is shown to be straightforward and intuitive. |
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Keywords: | Green function method Edge effect Image Diffusion control Grooved electrode Diffusion to vertices Electrode/insulator junction |
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