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Derivation of Nucleation Kinetics in Solids by Examination of Plane Sections through the Samples
Author(s) -
Toschev S.,
Gutzow I.
Publication year - 1967
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19670240135
Subject(s) - nucleation , crystallization , kinetics , transient (computer programming) , materials science , plane (geometry) , distribution (mathematics) , crystal (programming language) , phase (matter) , volume (thermodynamics) , thermodynamics , crystal growth , crystallography , statistical physics , chemistry , physics , mathematics , geometry , classical mechanics , mathematical analysis , computer science , organic chemistry , operating system , programming language
Using a statistical approach, the basic formula is derived which relates the size distribution of spherical non‐communicating second phase particles embedded in a solid matrix to the distribution of their circular intersections revealed on an arbitrary plane through the specimen. Four types of crystallization kinetics are treated: steady state nucleation, transient nucleation, heterogeneous nucleation, and transient heterogeneous nucleation. The linear rate of crystal growth is assumed to be time‐independent in all cases. The corresponding size distribution functions in the volume and on the surface are derived. Their analysis permits the evaluation of important crystallization parameters from experimental data.