Preferred Label : surface chemical potential;
IUPAC definition : Defined by: \[μ _{i} {σ } (\frac{ A {σ }}{ n_{i} {σ }})_{T,A_{{S}},n_{j} {σ }} (\frac{
G {σ }}{ n_{i} {σ }})_{T,p,γ ,n_{j} {σ }}\] \[μ _{i} {{S}} (\frac{ A {{S}}}{ n_{i}
{{S}}})_{T,V {{S}},A_{{S}},n_{j} {{S}}} (\frac{ G {{S}}}{ n_{i} {{S}}})_{T,p,γ ,n_{j}
{{S}}}\] where Aσ is the surface excess Helmholtz energy, Gσ is the surface excess
Gibbs energy, AS is the interfacial Helmholtz energy, GS is the interfacial Gibbs
energy, and AS is the surface area. The quantities thus defined can be shown to be
identical, and the conditions of equilibrium of component i in the system to be \[μ
_{i} {\alpha } μ _{i} {σ } μ _{i} {{S}} μ _{i} {\beta }\] where µ i α and µ i β are
the chemical potentials of i in the bulk phases α and β. (µ i α or µ i β have to be
omitted from this equlibrium condition if component i is not present in the respective
bulk phase.) The surface chemical potentials are related to the Gibbs energy functions
by the equations \[G {σ } \sum _{\begin{array}{c};
Origin ID : S06161;
See also
Defined by: \[μ _{i} {σ } (\frac{ A {σ }}{ n_{i} {σ }})_{T,A_{{S}},n_{j} {σ }} (\frac{
G {σ }}{ n_{i} {σ }})_{T,p,γ ,n_{j} {σ }}\] \[μ _{i} {{S}} (\frac{ A {{S}}}{ n_{i}
{{S}}})_{T,V {{S}},A_{{S}},n_{j} {{S}}} (\frac{ G {{S}}}{ n_{i} {{S}}})_{T,p,γ ,n_{j}
{{S}}}\] where Aσ is the surface excess Helmholtz energy, Gσ is the surface excess
Gibbs energy, AS is the interfacial Helmholtz energy, GS is the interfacial Gibbs
energy, and AS is the surface area. The quantities thus defined can be shown to be
identical, and the conditions of equilibrium of component i in the system to be \[μ
_{i} {\alpha } μ _{i} {σ } μ _{i} {{S}} μ _{i} {\beta }\] where µ i α and µ i β are
the chemical potentials of i in the bulk phases α and β. (µ i α or µ i β have to be
omitted from this equlibrium condition if component i is not present in the respective
bulk phase.) The surface chemical potentials are related to the Gibbs energy functions
by the equations \[G {σ } \sum _{\begin{array}{c}