Nernst-Planck equation

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The Nernst-Planck equation , after the physicists Walther Nernst and Max Planck , describes the movement of ions taking into account the electrical field .

Formally the equation for the ion current is :


The Nernst-Planck equation is particularly important for the theory of electrophoresis . More generally, it plays a major role in the description of non-equilibrium states of charged systems in electrolyte solution .


  • Gerold Adam, Peter Läuger, Günther Stark: Physical chemistry and biophysics . 5th edition. Springer, 2009, ISBN 978-3-642-00424-7 , Chapter 8.4: Nernst-Planck equation and diffusion potential.