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.