Nernst equation

https://doi.org/10.1351/goldbook.09068
Fundamental equation in electrochemistry that describes the dependence of the equilibrium electrode potential on the composition of the contacting phases, written as a reduction: Eeq=E(RT/zF)iνiln(ai) where Eeq is the equilibrium electrode potential, E the standard electrode potential of the reaction, R the gas constant, T the thermodynamic temperature, F the Faraday constant, z the electron number of an electrochemical reaction, and νi are the stoichiometric coefficients (numbers of species) in the equation of the electrode reaction, positive for products and negative for reactants, while ai represents the activities of the species involved (most usually ions).
Notes:
  1. For a solution containing oxidized (ox) and reduced (red) forms of a redox couple at activities aox and ared, respectively, the equilibrium electrode potential is Eeq=E(RT/zF)ln(ared/aox) where E is the standard electrode potential of the redox couple.
  2. In analytical chemistry, concentrations, rather than activities, are often considered (see Note to formal electrode potential) Eeq=E(RT/zF)ln(cred/cox) where E is the formal potential which can differ from the standard electrode potential owing to the influence of real conditions (pH, ionic strength, concentration of complex forming substances, etc.), and cred and cox are the amount concentrations of reduced and oxidized species, respectively. At 25 C, and for practical purposes, this equation is often written as EeqE(0.0592/z)log10(cred/cox) where the factor 0.0592(RT/F)/log10(e) at 298.15 K.
Source:
PAC, 2020, 92, 641. (Terminology of Electrochemical Methods of Analysis (IUPAC Recommendations 2019)) on page 649 [Terms] [Paper]