Critical nucleus composition in a multicomponent system

T. Philippe; D. Blavette; P. W. Voorhees

doi:10.1063/1.4896222

Critical nucleus composition in a multicomponent system

T. Philippe^*, D. Blavette, P. W. Voorhees

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The properties of a critical nucleus are derived using the capillarity theory in the framework of classical nucleation. An analytical solution for the composition of a critical nucleus is given for low supersaturation. The theory is valid for any multicomponent systems. It is found that the deviation in nucleus composition from the equilibrium tie-line is mainly due to the difference in the Hessian of the Gibbs energy of the phases and the magnitude of the deviation in composition from equilibrium is order of the supersaturation. Despite our analysis strictly holds for low supersaturation, this suggests strong deviations near the spinodal line.

Original language	English (US)
Article number	124306
Journal	Journal of Chemical Physics
Volume	141
Issue number	12
DOIs	https://doi.org/10.1063/1.4896222
State	Published - Sep 28 2014

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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abstract = "The properties of a critical nucleus are derived using the capillarity theory in the framework of classical nucleation. An analytical solution for the composition of a critical nucleus is given for low supersaturation. The theory is valid for any multicomponent systems. It is found that the deviation in nucleus composition from the equilibrium tie-line is mainly due to the difference in the Hessian of the Gibbs energy of the phases and the magnitude of the deviation in composition from equilibrium is order of the supersaturation. Despite our analysis strictly holds for low supersaturation, this suggests strong deviations near the spinodal line.",

author = "T. Philippe and D. Blavette and Voorhees, {P. W.}",

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AU - Philippe, T.

AU - Blavette, D.

AU - Voorhees, P. W.

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N2 - The properties of a critical nucleus are derived using the capillarity theory in the framework of classical nucleation. An analytical solution for the composition of a critical nucleus is given for low supersaturation. The theory is valid for any multicomponent systems. It is found that the deviation in nucleus composition from the equilibrium tie-line is mainly due to the difference in the Hessian of the Gibbs energy of the phases and the magnitude of the deviation in composition from equilibrium is order of the supersaturation. Despite our analysis strictly holds for low supersaturation, this suggests strong deviations near the spinodal line.

AB - The properties of a critical nucleus are derived using the capillarity theory in the framework of classical nucleation. An analytical solution for the composition of a critical nucleus is given for low supersaturation. The theory is valid for any multicomponent systems. It is found that the deviation in nucleus composition from the equilibrium tie-line is mainly due to the difference in the Hessian of the Gibbs energy of the phases and the magnitude of the deviation in composition from equilibrium is order of the supersaturation. Despite our analysis strictly holds for low supersaturation, this suggests strong deviations near the spinodal line.

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Critical nucleus composition in a multicomponent system

Abstract

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