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A simple classical model for predicting onset crystallization temperatures on curved substrates and its implications for phase transitions in confined volumes

Cooper, SJ; Nicholson, CE; Liu, J

A simple classical model for predicting onset crystallization temperatures on curved substrates and its implications for phase transitions in confined volumes Thumbnail


Authors

CE Nicholson

J Liu



Abstract

For small confinement volumes, phase transition temperatures are determined by the scarcity of the crystallizing material, rather than the magnitude of the energy barrier, as the supply of molecules undergoing the phase transition can be depleted before a stable nucleus is attained. We show this for the case of crystallization from the melt and from the solution by using a simple model based on an extended classical nucleation theory. This has important implications because it enables a simple and direct measurement of the critical nucleus size in crystallization. It also highlights that predicting the observable melting points of nanoparticles by using the Gibbs–Thomson equation can lead to substantial errors.

Citation

Cooper, S., Nicholson, C., & Liu, J. (2008). A simple classical model for predicting onset crystallization temperatures on curved substrates and its implications for phase transitions in confined volumes. The Journal of Chemical Physics, 129(12), Article 124715. https://doi.org/10.1063/1.2977993

Journal Article Type Article
Publication Date Sep 1, 2008
Deposit Date Feb 1, 2012
Publicly Available Date Nov 2, 2012
Journal Journal of Chemical Physics
Print ISSN 0021-9606
Electronic ISSN 1089-7690
Publisher American Institute of Physics
Peer Reviewed Peer Reviewed
Volume 129
Issue 12
Article Number 124715
DOI https://doi.org/10.1063/1.2977993
Keywords Crystallisation, melting, Nanoparticles, Nucleation, Phase transformations.

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Copyright Statement
Copyright (2008) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Cooper, S.J. and Nicholson, C.E. and Liu, J. (2008) 'A simple classical model for predicting onset crystallization temperatures on curved substrates and its implications for phase transitions in confined volumes.', Journal of chemical physics., 129 (12). p. 124715 and may be found at http://dx.doi.org/10.1063/1.2977993





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