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An equation relating the limiting molar conductivity Λm 0 (see Kohlrausch's law) to the ionic diffusion coefficients, devised by Nernst and Albert Einstein. The Nernst-Einstein equation is Λm 0=(F 2/RT)(v+ z+ 2 D++v– z– 2 D–), where F is the Faraday constant, R is the gas constant, T is the thermodynamic temperature, v+ and v– are the number of cations and anions per formula unit of electrolyte, z+ and z– are the valences of the ions, and D+ and D– are the diffusion coefficients of the ions. An application of the Nernst-Einstein equation is to calculate the ionic diffusion coefficients from experimental determinations of conductivity.
Λm 0=(F 2/RT)(v+ z+ 2 D++v– z– 2 D–)
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