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surface chemical potential

Defined by:
μ i σ = ( ∂ A σ ∂ n i σ ) T , A S , n j σ = ( ∂ G σ ∂ n i σ ) T , p , γ , n j σ
μ i S = ( ∂ A S ∂ n i S ) T , V S , A S , n j S = ( ∂ G S ∂ n i S ) T , p , γ , n j S
where A σ is the surface excess Helmholtz energy, G σ is the surface excess Gibbs energyA S is the interfacial Helmholtz energy, G S is the interfacial Gibbs energy, and A S 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 α = μ i σ = μ i S = μ i β
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 = ∑ i n i σ μ i σ
G S = ∑ i n i S μ i S
PAC, 1972, 31, 577 (Manual of Symbols and Terminology for Physicochemical Quantities and Units, Appendix II: Definitions, Terminology and Symbols in Colloid and Surface Chemistry) on page 602
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IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8.
Last update: 2014-02-24; version: 2.3.3.
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