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Author Wilemski, G.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ CHEMISTRY ♦ FREE ENERGY ♦ ATOMIC CLUSTERS ♦ NUCLEATION ♦ KINETICS ♦ SOLID CLUSTERS ♦ CHEMICAL COMPOSITION ♦ PHASE TRANSFORMATIONS ♦ DIFFUSION
Abstract Using a new approach, Stauffer{close_quote}s expression for the rate of steady state binary nucleation and Trinkaus{close_quote}s expression for the steady state cluster concentrations f are derived directly from the diffusion equation that governs the evolution of f in composition space. The behavior of {Phi} ({equivalent_to}f/N, where N is the equilibrium cluster concentration) is explored since this function provides a characterization of the nucleating binary system that, to lowest order, is independent of the actual composition of the mother phase. The angle {omega} that describes the direction of {nabla}{Phi} at the saddle point differs, in general, from the angle {phi} found by Stauffer for the direction of the nucleation current at the saddle point. These two angles are related by the formula: tan&hthinsp;{phi}=r&hthinsp;tan&hthinsp;{omega}, where r is the ratio of impingement frequencies defined by Stauffer. In general, at the saddle point, {nabla}{Phi} also fails to lie in the direction of steepest descent on the free energy surface. {copyright} {ital 1999 American Institute of Physics.}
ISSN 00219606
Educational Use Research
Learning Resource Type Article
Publisher Date 1999-04-01
Publisher Place United States
Journal Journal of Chemical Physics
Volume Number 110
Issue Number 13


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