Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions

Joseph Chaiken, Jerry Goodisman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationMaterials Research Society Symposium - Proceedings
PublisherMaterials Research Society
Pages355-359
Number of pages5
Volume351
StatePublished - 1994
EventProceedings of the 1994 MRS Symposium - San Francisco, CA, USA
Duration: Apr 4 1994Apr 8 1994

Other

OtherProceedings of the 1994 MRS Symposium
CitySan Francisco, CA, USA
Period4/4/944/8/94

Fingerprint

Particle size analysis
Fractals
Kinetics
Coalescence
Energy conversion
Particles (particulate matter)
Metals
Annealing
Ultrafine

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials

Cite this

Chaiken, J., & Goodisman, J. (1994). Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions. In Materials Research Society Symposium - Proceedings (Vol. 351, pp. 355-359). Materials Research Society.

Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions. / Chaiken, Joseph; Goodisman, Jerry.

Materials Research Society Symposium - Proceedings. Vol. 351 Materials Research Society, 1994. p. 355-359.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chaiken, J & Goodisman, J 1994, Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions. in Materials Research Society Symposium - Proceedings. vol. 351, Materials Research Society, pp. 355-359, Proceedings of the 1994 MRS Symposium, San Francisco, CA, USA, 4/4/94.
Chaiken J, Goodisman J. Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions. In Materials Research Society Symposium - Proceedings. Vol. 351. Materials Research Society. 1994. p. 355-359
Chaiken, Joseph ; Goodisman, Jerry. / Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions. Materials Research Society Symposium - Proceedings. Vol. 351 Materials Research Society, 1994. pp. 355-359
@inproceedings{bc5ff6a5f7d64224a4d9e5f41ccf728d,
title = "Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions",
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.",
author = "Joseph Chaiken and Jerry Goodisman",
year = "1994",
language = "English (US)",
volume = "351",
pages = "355--359",
booktitle = "Materials Research Society Symposium - Proceedings",
publisher = "Materials Research Society",

}

TY - GEN

T1 - Application of fractals and kinetic equation in modelling cluster and ultrafine particle size distributions

AU - Chaiken, Joseph

AU - Goodisman, Jerry

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028554388&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028554388&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0028554388

VL - 351

SP - 355

EP - 359

BT - Materials Research Society Symposium - Proceedings

PB - Materials Research Society

ER -