Linked from

The 13 pages that link to Helmholtz free energy, each with the reason it gives.

• Gibbs free energyCompared with: It is the corresponding spontaneity criterion at constant temperature and volume.

• CrystallizationRelated: Changes in free energy determine whether forming a crystal is favorable.

• EnthalpyCompared with: Unlike Gibbs free energy, it is especially useful for constant-volume conditions.

• Isothermal processRelated: At fixed temperature and volume, its change constrains the maximum useful work.

• Thermodynamic potentialBroader topic: It is minimized at equilibrium when temperature and volume are fixed.

• Free energyBroader topic: It gives the corresponding criterion when volume, rather than pressure, is held fixed.

• Canonical ensembleRelated: The canonical partition function determines this ensemble's central thermodynamic potential.

• Maxwell relationsRelated: Its differential produces the relation between entropy’s volume derivative and pressure’s temperature derivative.

• Fundamental thermodynamic relationCompared with: It replaces entropy with temperature as a natural variable for fixed-temperature systems.

• Gibbs–Helmholtz equationCompared with: Its natural constraints differ from the constant-pressure setting of this equation.

• Thermodynamic free energyCompared with: It is the constant-volume counterpart to Gibbs free energy.

• Internal pressureRelated: Its volume derivative gives mechanical pressure and helps relate pressure to internal energy.

• Principle of minimum energyCompared with: At fixed temperature and volume, equilibrium minimizes this free energy rather than internal energy.