Validity of Tolman's equation : How large should a droplet be?

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)4063-4070
Journal / PublicationJournal of Chemical Physics
Volume109
Issue number10
Publication statusPublished - 1998
Externally publishedYes

Abstract

Surface tension and the length δ (distance between the Gibbs surface of tension Rs and the equimolar surface Re) of simple liquid droplet (Lennard-Jones and Yukawa) are computed over a wide range of droplet sizes up to about 4×106 molecules. The study is based on the Gibbs theory of capillarity combined with the density-functional approach to gas-liquid nucleation. Since this method provides behavior of the surface tension fully consistent with the tension of the planner surface, the constant in Tolman's equation δ can be determined unequivocally from the asymptotic behavior of σs. Comparison of the tension given by Tolman's equation against the result of exact thermodynamic relations reveals that Tolman's equation is valid only when the droplet holds more than 106 molecules for the simple fluid systems near their triple points, in contrast to the conventional wisdom that Tolman's equation may be applicable down to droplets holding a few hundreds of molecules. © 1998 American Institute of Physics.

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Citation Format(s)

Validity of Tolman's equation: How large should a droplet be? / Koga, Kenichiro; Zeng, X. C.; Shchekin, A. K.
In: Journal of Chemical Physics, Vol. 109, No. 10, 1998, p. 4063-4070.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review