Two families of analytic γ-plots and their influence upon homogeneous nucleation kinetics
Document Type
Article
Publication Date
2-1977
Department
Department of Materials Science and Engineering
Abstract
The equilibrium shapes corresponding to two different families of γ-plots are constructed. One γ-plot family comprises continuous variations from a sphere to an oblate ellipsoid. This set of γ-plots yields a sharp edge in the corresponding equilibrium shape when its aspect ratio is less than 1 √2. The other family consists of nephroids of revolution, varied in cross-sectional form from two slightly overlapping near-circles to an ellipse-like morphology. This family exhibits a facet at one boundary orientation in the equilibrium shape. For the analytical expression of the equilibrium shape, the ξ-vector formalism of Cahn and Hoffman is used and found to give results identical to those from the Euler-Lagrange method. The effects of the variations in equilibrium shape within the two families treated upon the principal parameters in the general equation for the time-dependent rate of nucleation are assessed in order to ascertain their relative influence on nucleation kinetics.
Publication Title
Surface Science
Recommended Citation
Lee, J.,
Dooley, D.,
Graham, D.,
Clough, S.,
White, C.,
&
Aaronson, H.
(1977).
Two families of analytic γ-plots and their influence upon homogeneous nucleation kinetics.
Surface Science,
62(2), 695-706.
http://doi.org/10.1016/0039-6028(77)90110-8
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5502