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electrocapillary equation

A form of the Gibbs adsorption equation which includes an expression of the phenomenon of electrocapillarity:
s d T − τ d p + d γ + σ α d E + ∑ Γ j d μ j = 0
where s is the surface excess of entropy of unit area of interphase, T is the temperature, τ is the thickness or excess volume of unit area of the interphase, p is the external pressure, γ is the interfacial tension, σ α is the free surface charge density on phase α (areal amount of charge on the surface of phase α),E is the generalized potential, Γ j is the surface excess, μ j is the chemical potential and j is an electrically neutral component of one or other of the phases; the sum is over all the components but one in each phase.
Source:
PAC, 1986, 58, 437 (Interphases in systems of conducting phases (Recommendations 1985)) on page 446
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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: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. https://doi.org/10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: https://doi.org/10.1351/goldbook.E01942.
Original PDF version: http://www.iupac.org/goldbook/E01942.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.
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