Journal
ELECTROCHEMISTRY COMMUNICATIONS
Volume 3, Issue 3, Pages 107-112Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S1388-2481(01)00110-2
Keywords
Nernst-Planck equation; Poisson equation; numerical solution; membrane potential; diffusion potential; ion-selective membrane electrodes
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In this paper, we show a numerical model designed for analysing the propagation of ionic concentrations and electrical potential in space and time in the liquid-junction and in the solution I ion-exchanging membrane system. In this model, diffusion and migration according to the Nernst-Planck flux equation govern the transport of ions. The electrical interaction of the species is described by the Poisson equation. These two equations and the continuity equation make a system of partial differential equations that is numerically resolved by the finite difference method. Consequently, the contact and/or boundary potential and diffusion potential are presented as a result of the physicochemical properties of the system rather than assumed a priori in order to find an analytical solution in the form of an equation. We show that the paradigmatic equations in potentiometry, such as Henderson and Nikolskii-Eisenman (N-E), are special cases in our model. Although we discuss the examples relevant to electroanalytical potentiometry and, in particular, to the field of ion-selective membrane electrodes (ISE), it is evident that the method presented here is a good tool for solving broader problems in membrane biology and electrochemistry with membranes. (C) 2001 Elsevier Science B.V. All rights reserved.
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