A Partition Function Model for Nucleation on Surfaces
Using a procedure to minimize the total Helmholtz free energy of a system composed of an idealized substrate, a collection of surface clusters, and a vapor in contact with the surface, an expression is derived for the concentration of clusters of a given size on the substrate. The result is based on several assumptions about the system, the most important being that the surface clusters do not interact and that the substrate remains intact. The expression for the concentration of surface clusters together with the conventional form for the growth rate of clusters on a surface can be used to calculate surface nucleation rates.
B. N. Hale and J. Kiefer, "A Partition Function Model for Nucleation on Surfaces," Journal of Statistical Physics, vol. 12, no. 5, pp. 437-444, Kluwer Academic Publishers-Plenum Publishers, May 1975.
The definitive version is available at https://doi.org/10.1007/BF01012887
Keywords and Phrases
Atomistic Model; Helmholtz Free Energy Of Formation; Heterogeneous Nucleation; Molecular Surface Clusters; Nonkinetic Nucleation Theory; Surface Nucleation; Vapor-substrate-bulk System; Variational Technique
International Standard Serial Number (ISSN)
Article - Journal
© 1975 Kluwer Academic Publishers-Plenum Publishers, All rights reserved.