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Lippman's equation

An equation which gives the electric charge per unit area of an interface (electrode):
( ∂ γ ∂ E A ) T , p , μ i ≠ μ = − Q A
where γ is the interfacial tension, E A is the potential of a cell in which the reference electrode has an interfacial equilibrium with one of the ionic components of A, Q A is the charge on unit area of the interface, μ i is the chemical potential of the combination of species i whose net charge is zero, T is the thermodynamic temperature and p is the external pressure. Since more than one type of reference electrode may be chosen, more than one quantity Q may be obtained. Consequently Q cannot be considered as equivalent to the physical charge on a particular region of the interphase. It is in fact an alternative way of expressing a surface excess or combination of surface excess of charged species.
Source:
PAC, 1974, 37, 499 (Electrochemical nomenclature) on page 508
PAC, 1986, 58, 437 (Interphases in systems of conducting phases (Recommendations 1985)) on page 445
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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.L03577.
Original PDF version: http://www.iupac.org/goldbook/L03577.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 The PDF version is out of date and is provided for reference purposes only.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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