Vapour pressure over curved surfaces-the Kelvin equation

Lisgarten, N. D.; Sambles, J. R.; Skinner, Les

doi:10.1080/00107517108205661

Cited by 13 publications

(8 citation statements)

References 2 publications

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“…To obtain (1), the assumption was made [29] that the melting temperature T m of small particles is equal to the triple point where solid and liquid phases and vapour are in equilibrium. This starting assumption agrees with the experimental fact that the vapour pressure of minute crystal near melting is notably higher than that of the bulk material [30,31]. It follows from (1) that the temperature shift is inversely proportional to the surface curvature, that is to the pore size.…”

Section: Discussionsupporting

confidence: 85%

Nuclear magnetic resonance and acoustic investigations of the melting - freezing phase transition of gallium in a porous glass

Borisov¹,

Charnaya²,

Hoffmann³

et al. 1997

J. Phys.: Condens. Matter

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The melting-freezing phase transition of gallium in a porous glass was studied by NMR and acoustical techniques. A depression of the freezing and melting phase transition temperatures and a pronounced hysteresis in the melting-freezing processes were found. An intricate 71 Ga NMR lineshape for liquid gallium was observed with a temperature coefficient of the Knight shift more than twice that measured for the bulk melt. The results are discussed on the basis of the Gibbs-Thompson equation and by means of a geometric freezing model.

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Section: Discussionsupporting

confidence: 85%

Nuclear magnetic resonance and acoustic investigations of the melting - freezing phase transition of gallium in a porous glass

Borisov¹,

Charnaya²,

Hoffmann³

et al. 1997

J. Phys.: Condens. Matter

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“…These nanocrystals have large curvatures, and low vapor pressure according to the kelvin equation. 16,[31][32][33][34] To check the disappearance of Ag from the Si surface, XPS spectra were measured for specimens with Ag thickness of 1.6 ML ͑d = 2.4 nm͒ and 4.8 ML ͑d = 3.7 nm͒. The obtained XPS spectra of Ag 3d for both specimens are shown in Figs.…”

Section: Resultsmentioning

confidence: 99%

Size-dependent structural transition from multiple-twinned particles to epitaxial fcc nanocrystals and nanocrystal decay

et al. 2007

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The size dependence of structural transition from multiple-twinned particles ͑MTP͒ to epitaxial face centered cubic nanocrystals was investigated for Ag nanoparticles formed on Si͑001͒ surfaces by in situ reflection high-energy electron diffraction and ex situ transmission electron microscopy. The transition from MTP to nanocrystals was promoted by postdeposition annealing. Clear particle size dependence is found in the epitaxial formation temperatures ͑T E ͒, which is about 2 / 3 of the calculated, size-dependent, melting temperature ͑T M ͒ using the value of surface energy ␥ S =1.2 J/m 2 for larger particles ͑Ͼ2 nm͒. Once nanocrystals are formed, they decay and disappear in a narrow temperature range between 795 and 850 K. No evidence of nanocrystal melting was detected from the reflection high-energy electron diffraction observations.

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“…It is worth noting that this replacement in the term of pressure difference does not invalidate the derivation of the Kelvin equation. 2,11 The other quantities can be obtained by equating the grand potential functions of the liquid and gas sides (or heuristically by writing the hydrostatic pressure drop of the water and gas columns in a Jurin-like experiment 2,11 ) and do not depend on the confinement.…”

Section: Of Ref 3)mentioning

confidence: 99%

Capillary Condensation of Water in Graphene Nanocapillaries

Faraji,

Neyts,

Milošević

et al. 2024

Nano Lett.

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Recent experiments have revealed that the macroscopic Kelvin equation remains surprisingly accurate even for nanoscale capillaries. This phenomenon was so far explained by the oscillatory behavior of the solid−liquid interfacial free energy. We here demonstrate thermodynamic and capillarity inconsistencies with this explanation. After revising the Kelvin equation, we ascribe its validity at nanoscale confinement to the effect of disjoining pressure. To substantiate our hypothesis, we employed molecular dynamics simulations to evaluate interfacial heat transfer and wetting properties. Our assessments unveil a breakdown in a previously established proportionality between the work of adhesion and the Kapitza conductance at capillary heights below 1.3 nm, where the dominance of the work of adhesion shifts primarily from energy to entropy. Alternatively, the peak density of the initial water layer can effectively probe the work of adhesion. Unlike under bulk conditions, high confinement renders the work of adhesion entropically unfavorable.

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Vapour pressure over curved surfaces-the Kelvin equation

Cited by 13 publications

References 2 publications

Nuclear magnetic resonance and acoustic investigations of the melting - freezing phase transition of gallium in a porous glass

Nuclear magnetic resonance and acoustic investigations of the melting - freezing phase transition of gallium in a porous glass

Size-dependent structural transition from multiple-twinned particles to epitaxial fcc nanocrystals and nanocrystal decay

Capillary Condensation of Water in Graphene Nanocapillaries

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