Crystallization statistics, thermal history and glass formation

R. W. Hopper, G. Scherer, Donald R Uhlmann

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

The formal theory of transformation kinetics describes the volume fraction of a phase transformed in a given time at a given temperature. The basic concepts are extended for isotropic crystal growth in a material having a known thermal history T(r, t). A crystal distribution function ψ(r, t, R) is defined such that the number of crystallites in a volume dυ at r having radii between R and R + dR at time t is ψ(r, t, R) dυ dR. The function ψ contains essentially complete statistical information about the state of crystallinity of a material. Formal expressions for ψ are obtained. Applications are discussed, including predictions of crystallinity when T(r, t) is known; predictions of glass-forming tendencies; experimental determination of nucleation rates; and the determination of the thermal history of a sample from post mortem crystallinity measurements. As an example, ψ(r, t, R) is calculated for a lunar glass composition subjected to a typical laboratory heat treatment.

Original languageEnglish (US)
Pages (from-to)45-62
Number of pages18
JournalJournal of Non-Crystalline Solids
Volume15
Issue number1
DOIs
StatePublished - 1974
Externally publishedYes

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Crystallization
crystallinity
Statistics
statistics
histories
crystallization
Glass
glass
Crystallites
Crystal growth
Distribution functions
Volume fraction
Nucleation
Heat treatment
predictions
Crystals
crystallites
Kinetics
crystal growth
tendencies

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

Cite this

Crystallization statistics, thermal history and glass formation. / Hopper, R. W.; Scherer, G.; Uhlmann, Donald R.

In: Journal of Non-Crystalline Solids, Vol. 15, No. 1, 1974, p. 45-62.

Research output: Contribution to journalArticle

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