chemical potential

symbol: $\mu_{\rm{B}}$
synonym: partial molar Gibbs energy
https://doi.org/10.1351/goldbook.C01032
The chemical potential of a substance B in a mixture of substances B, C ... is related to the Gibbs energy \(G\) of the mixture by: \[\mu _{\rm{B}}=(\frac{\partial G}{\partial n_{\rm{B}}})_{T,p,n_{\rm{C}\neq \rm{B}}}\] where \(T\) is the thermodynamic temperature, \(p\) is the pressure and \(n_{\rm{B}}\), \(n_{\rm{C}}\), ... are the amounts of substance of B, C, ... . For a pure substance B, the chemical potential \(\mu _{\rm{B}}^{*}\) is given by: \[\mu _{\rm{B}}^{*}=\frac{G^{*}}{n_{\rm{B}}}=G_{\rm{m}}^{*}\] where \(G_{\rm{m}}^{*}\) is the molar Gibbs energy, and where the superscript * attached to a symbol denotes the property of the pure substance. The superscript \(^{⦵}\) or \(^{\circ}\) attached to a symbol may be used to denote a standard thermodynamic quantity.
Sources:
Green Book, 2nd ed., p. 49 [Terms] [Book]
PAC, 1994, 66, 533. (Standard quantities in chemical thermodynamics. Fugacities, activities and equilibrium constants for pure and mixed phases (IUPAC Recommendations 1994)) on page 535 [Terms] [Paper]
PAC, 1996, 68, 957. (Glossary of terms in quantities and units in Clinical Chemistry (IUPAC-IFCC Recommendations 1996)) on page 966 [Terms] [Paper]