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Application of the Smoluchowski equation to the formation kinetics of cluster ions

  • R. B. Huang
  • Q. Zhang
  • H. Chen
  • L. S. Zheng
Conference paper

Abstract

Cluster ions with various sizes and compositions have been generated from direct laser vaporization. The Smoluchowski rate equation is extended to describe the formation kinetics of the cluster ions, which have been assumed to be produced from ion-molecule reactions with same-rate constants. By solving the kinetic equation analytically, we obtained the distribution function of the cluster ions, Analysis of the distribution function showed that the function can characterize the statistical size distribution of the cluster ions and can be reduced to the asymptotic solution suggested by Jullien [1].

PACS

36.40.-c Atomic and molecular clusters 

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Copyright information

© Springer-Verlag Italia 1999

Authors and Affiliations

  • R. B. Huang
    • 1
  • Q. Zhang
    • 1
  • H. Chen
    • 1
  • L. S. Zheng
    • 1
  1. 1.State Key Laboratory for Physical Chemistry of Solid Surface, Department of ChemistryXiamen UniversityXiamenP.R. China

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