Battery knowledge · Electrochemistry fundamentals

Nernst equation

The relation between an electrode’s potential and the concentrations, or activities, of the species in its half-reaction. It explains why open-circuit voltage changes with state of charge and temperature. [1]

Relationship
E = E° − (RT/nF)·ln Q

Example

Change a reaction quotient by a decade

At 298.15 K with n = 1, increasing the dimensionless reaction quotient from 1 to 10 lowers E by about 59.2 mV. Use activities or a justified concentration approximation.

Explore the graph

The logarithm of the reaction quotient changes equilibrium potential; reference electrodes set the voltage zero.

Potential shift by activity quotient
Potential shift by activity quotientlog₁₀(reaction quotient Q) versus E − E° (mV). Nernst shift. Interpretation follows the graphs.-177-3-88.7-1.50088.71.51773log₁₀(reaction quotient Q)E − E° (mV)
Nernst shift
Reference-scale conversion
Reference-scale conversionPotential vs Li/Li⁺ (V) versus Potential vs SHE (V). Approximate conversion. Interpretation follows the graphs.-3.040-1.791.25-0.542.50.713.751.965Potential vs Li/Li⁺ (V)Potential vs SHE (V)
Approximate conversion

A tenfold increase in Q shifts E by −59.16 mV at 25 °C for n = 1.

E − E° = −(RT/nF) ln Q; E(vs SHE) ≈ E(vs Li/Li⁺) − 3.04 V

Illustrative model. Q is dimensionless activity quotient, not electrical charge. The −3.04 V reference offset is an approximate conventional value; it is not recomputed with temperature.

Use in Lemonergy

Connect reaction sites and transport paths.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

Technical references

  1. Nernst equation

    IUPAC Gold Book · 2025

    Technical reference · Equilibrium potential as a function of activities; distinguishes activities from concentration approximations.

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing

    IUPAC · 2011

    Topic background · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.