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:

$Δ a U i σ = U i σ − U i g$

$Δ a U i s = U i s − U i g$

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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Cite as:
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.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 The PDF version is out of date and is provided for reference purposes only.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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