Crystallization kinetics and the JMAK equation

Michael C. Weinberg, Dunbar P Birnie, Vitaly A. Shneidman

Research output: Contribution to journalArticlepeer-review

124 Citations (Scopus)


In the present work the application of the Johnson-Mehl-Avrami-Kolmogorov (JMAK) theory for the calculation of the volume fraction crystallized is discussed for several particular cases of isothermal transformations. In particular, the following three situations, for which the JMAK theory requires extensions, are considered: (1) finite size effects and non-uniform nucleation, (2) anisotropic particle formation, and (3) transient nucleation. We present new equations which describe these three situations. In general, we find that anisotropic particle formation, finite size effects and non-uniform nucleation lead to a reduction of the crystallization rate. Furthermore, transformations which produce anisotropic particles are characterized by reduced values of the Avrami exponents. Finally, we demonstrate that corrections to the JMAK f4 law arising from time dependent nucleation must include size-dependent growth effects to obtain a logically consistent result.

Original languageEnglish
Pages (from-to)89-99
Number of pages11
JournalJournal of Non-Crystalline Solids
Publication statusPublished - Oct 1 1997

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

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