Battery knowledge · Electrochemistry fundamentals

Faraday’s law of electrolysis

The amount of substance transformed at an electrode is proportional to the charge passed: one mole of electrons per Faraday. It converts a material’s formula into its theoretical capacity in mAh/g. [1]

Relationship
m = Q·M / (n·F)

Example

Convert charge to ideal deposited mass

For a hypothetical one-electron species with molar mass 50 g/mol, transferring 1 Ah = 3600 C corresponds to about 1.87 g at 100% Faradaic efficiency. Side reactions reduce the intended deposited amount.

Explore the graph

Electron count and molar mass connect electrical charge to transformed material.

Theoretical capacity and molar mass
Theoretical capacity and molar massMolar mass (g/mol) versus Theoretical capacity (mAh/g). Ideal specific capacity. Interpretation follows the graphs.020335906701601,0102301,340300Molar mass (g/mol)Theoretical capacity(mAh/g)
Ideal specific capacity
Mass transformed by charge
Mass transformed by chargeTransferred charge (Ah) versus Transformed mass (g). Reaction-equivalent mass. Interpretation follows the graphs.004.661.259.332.5143.7518.75Transferred charge (Ah)Transformed mass (g)
Reaction-equivalent mass

268 mAh/g for 1 electron(s) and 100 g/mol.

Q_theoretical = nF / (3.6M); m = charge × M / (nF)

Illustrative model. Assumes complete Faradaic conversion and 100% utilization. Practical reversible capacity can be lower; the material identity is not inferred from molar mass.

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

    IUPAC · 2011

    Technical reference · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.