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Crystal size distribution in precipitates
Author(s) -
Dunning W. J.
Publication year - 1973
Publication title -
kristall und technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0023-4753
DOI - 10.1002/crat.19730080902
Subject(s) - nucleation , crystallization , crystal (programming language) , residence time (fluid dynamics) , volume (thermodynamics) , particle size distribution , distribution (mathematics) , series (stratigraphy) , thermodynamics , crystal growth , crystallography , chemistry , mathematics , materials science , physics , particle size , mathematical analysis , computer science , engineering , paleontology , geotechnical engineering , biology , programming language
After a short introduction on the principles of nucleation and growth – here especially considering defect crystals – particle size distribution in precipitates is discussed. At first batch crystallization is referred to briefly. The situation in stirred continuous tank crystallizers is investigated in detail. Size distribution is considered in dependence on steady state flow rates of the reacting solutions, residence time of crystals in the tank, resulting in an exponential equation for the number of crystals per unit volume: \documentclass{article}\pagestyle{empty}\begin{document}$ n\left(r \right) = \frac{{\dot n_0 }}{{f\left(s \right)}}e^ - \frac{{vr}}{{V \cdot f\left(s \right)}} $\end{document} . With two and more tanks in series size distribution additionally becomes dependent on the difference of the supersaturations, of the occurrence of nucleation, and of the residence time of crystals in the various tanks. Equations for the size distribution are given for special conditions with two and more tanks in series.