Surface nucleation and anisotropic growth model for solid state reactions

Mario A. Bianchet, Graciela Rigotti, Miguel A. Blesa

Research output: Contribution to journalArticlepeer-review


Mathematical equations are derived that relate the extent of reaction α to time for the case of a reaction starting through surface nucleation and proceeding inwards and laterally through two growth-rate constants. The model is based in Avrami's theorem, and may therefore be considered as a modified Avrami model. The relation between -In(1-α) and time involves first-order Bessel functions Y1[2ωμ(t)] and J1[2ωμ(t)], where μ(t)=exp(-kn t 2) and ω2,=σδ0k1kn-1, ω is one of the model basic parameters. The final equations may be solved analytically under certain conditions, and numerically in the more general cases.

Original languageEnglish (US)
Pages (from-to)21-27
Number of pages7
JournalSolid State Ionics
Issue number1-2
StatePublished - Sep 1990
Externally publishedYes

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics


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