## Quick Reference

An equation relating the limiting molar conductivity Λ_{m}^{0} (see Kohlrausch's law) to the ionic diffusion coefficients, devised by Nernst and Albert Einstein. The Nernst-Einstein equation is Λ_{m}^{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.

Λ_{m}^{0}=(*F*^{2}/*RT*)(*v*_{+}*z*_{+}^{2}*D*_{+}+*v*_{–}*z*_{–}^{2}*D*_{–})

*Subjects:*
Chemistry.

## Related content in Oxford Index

##### Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.