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differential molar energy of adsorption

Also contains definitions of: differential molar interfacial energy, differential molar surface excess energy

When the addition of a differential amount d n i σ or d n i s is effected at constant gas volume, the differential molar energy of adsorption of component i, Δ a U i σ or Δ a U i s, is defined as:
Δ a U i σ = U i σ − U i g
or
Δ a U i s = U i s − U i g
where the differential molar surface excess energy, U i σ, is given by
U i σ = ( ∂ U σ ∂ n i s ) T , m , n j σ = ( ∂ U ∂ n i σ ) T , m , V g , p i , n j σ
and the differential molar interfacial energy, U i s, by
U i s = ( ∂ U ∂ n i s ) T , m , V g , p i , n j σ = ( ∂ U ∂ n i s ) T , m , V g , V s , p i , n j s
U i g is the differential molar energy of component i in the gas phase, i.e.
( ∂ U ∂ n i g ) T , V , n i g
Source:
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 603
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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. doi:10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: doi:10.1351/goldbook.D01705.
Original PDF version: http://www.iupac.org/goldbook/D01705.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 The PDF version is out of date and is provided for reference purposes only.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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