Template:Table of thermodynamic potentials

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Name Symbol Formula Natural variables
Internal energy [math]\displaystyle{ U }[/math] [math]\displaystyle{ \int ( T \text{d}S - p \text{d}V + \sum_i \mu_i \text{d}N_i ) }[/math] [math]\displaystyle{ S, V, \{N_i\} }[/math]
Helmholtz free energy [math]\displaystyle{ F }[/math] [math]\displaystyle{ U-TS }[/math] [math]\displaystyle{ T, V, \{N_i\} }[/math]
Enthalpy [math]\displaystyle{ H }[/math] [math]\displaystyle{ U+pV }[/math] [math]\displaystyle{ S, p, \{N_i\} }[/math]
Gibbs free energy [math]\displaystyle{ G }[/math] [math]\displaystyle{ U+pV-TS }[/math] [math]\displaystyle{ T, p, \{N_i\} }[/math]
Landau Potential (Grand potential) [math]\displaystyle{ \Omega }[/math], [math]\displaystyle{ \Phi_\text{G} }[/math] [math]\displaystyle{ U - T S - }[/math][math]\displaystyle{ \sum_i\, }[/math][math]\displaystyle{ \mu_i N_i }[/math] [math]\displaystyle{ T, V, \{\mu_i\} }[/math]