Transformation kinetics for randomly oriented anisotropic particles

Michael C. Weinberg, Dunbar P. Birnie

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The transformation kinetics for a system undergoing classical nucleation and growth are described. Growth velocity anisotropy is allowed which causes non-spherical particle morphologies. The present derivation solves for the transformation rate if these anisotropic particles are randomly distributed and randomly oriented in space, in contrast to earlier derivations. Three specific derivations are examined which cover both 2D and 3D spaces and both instantaneous and continuous nucleation. Although the expressions that are developed for randomly oriented anisotropic particles are the same as the traditional Johnson-Mehl-Avrami-Kolmogorov (JMAK) expressions, the restriction that the orientation of particles are cooperatively aligned is lifted. The results are discussed within the framework of practical limitations imposed by the basic JMAK derivation conditions.

Original languageEnglish
Pages (from-to)161-166
Number of pages6
JournalJournal of Non-Crystalline Solids
Issue number1-2
Publication statusPublished - Aug 2 1995

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Condensed Matter Physics
  • Materials Chemistry

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