Battery knowledge · Electrochemistry fundamentals

Standard hydrogen electrode

The reference electrode that defines zero on the electrochemical potential scale: platinum in a solution of unit hydrogen-ion activity, bubbled with hydrogen at 1 bar. Battery work mostly uses the Li/Li⁺ scale instead, which sits 3.04 V below it, so 4.2 V vs Li/Li⁺ is about 1.16 V vs SHE.

Abbreviation
SHE
Unit
V
Relationship
E(vs SHE) ≈ E(vs Li/Li⁺) − 3.04 V

Example

Convert a reference potential

Using the approximate standard-state offset of −3.04 V for Li/Li⁺ versus SHE, an electrode at 4.0 V versus Li/Li⁺ is approximately 0.96 V versus SHE. Actual reference conditions and solvent conventions matter.

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

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.