Transformation kinetics in one-dimensional processes with continuous nucleation

The effect of shielding

Michael C. Weinberg, Dunbar P Birnie

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations which occur via continuous nucleation and growth and which produce anisotropic particles. This derivation, which accounts for shielding effects and does not assume site saturation, is the first such derivation given for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of growth rate anisotropy. The results are compared with numerical simulations, and it is shown that the expressions derived are highly accurate.

Original languageEnglish
Pages (from-to)5138-5144
Number of pages7
JournalJournal of Chemical Physics
Volume105
Issue number12
Publication statusPublished - 1996

Fingerprint

Shielding
shielding
Anisotropy
Nucleation
derivation
Phase transitions
nucleation
Kinetics
Computer simulation
kinetics
phase transformations
saturation
anisotropy
simulation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Transformation kinetics in one-dimensional processes with continuous nucleation : The effect of shielding. / Weinberg, Michael C.; Birnie, Dunbar P.

In: Journal of Chemical Physics, Vol. 105, No. 12, 1996, p. 5138-5144.

Research output: Contribution to journalArticle

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