Title

Application of Fractals and Kinetic Equation in Modelling Cluster and Ultrafine Particle Size Distributions

Author(s)/Creator(s)

Joseph Chaiken, Syracuse UniversityFollow
Jerry Goodisman, Syracuse UniversityFollow

Document Type

Article

Date

11-1994

Keywords

Agglomeration; Annealing; Coalescence; Energy conversion; Film growth; Fractals; Mathematical models; Metallic films; Particle size analysis; Solutions; Coalescence growth system; Kinetic equation; Particle size distribution; Thermal annealing condition; Translational effect

Disciplines

Chemistry

Description/Abstract

We briefly describe a model which seems to be applicable to a variety of coalescence growth systems. Spanning cluster growth, particle growth and hillock formation in thin metal films, this model is based on the Smoluchowski kinetic equations and fractals. We describe how this model has been able to suggest the effect of translational to internal energy conversion in coalescing systems in determining the shape of particle size distributions. We also suggest how this model can be employed to account for the behavior of hillocks in supersaturated alloy films under thermal annealing conditions.

Additional Information

Copyright 1994 Materials Research Society Symposium - Proceedings. This article may be downloaded for personal use only. Any other use requires prior permission of the author and Materials Research Society Symposium - Proceedings.

The article may be found at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8086413

Recommended Citation

Chaiken, Joseph and Goodisman, Jerry, "Application of Fractals and Kinetic Equation in Modelling Cluster and Ultrafine Particle Size Distributions" (1994). Chemistry - All Scholarship. 14.
https://surface.syr.edu/che/14

Source

local input

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.