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New empirical kinetic equation of size dependent crystal growth and its use
Author(s) -
Rojkowski Z.
Publication year - 1977
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.19770121102
Subject(s) - nucleation , kinetic energy , crystal (programming language) , yield (engineering) , exponential function , product (mathematics) , mathematics , population , suspension (topology) , population balance equation , crystal growth , exponential growth , rate equation , thermodynamics , chemistry , statistical physics , mathematical analysis , kinetics , physics , classical mechanics , geometry , computer science , pure mathematics , demography , homotopy , sociology , programming language
Size dependent crystal growth kinetic can be measured indirectly in Mixed Suspension Mixed Product Removal Crystallizer by means of differential number balance of crystal product population. Some simple formula relating growth rate G and crystal size L is needed for statistical processing of scattered experimental crystal size distribution data. The new exponential formula\documentclass{article}\pagestyle{empty}\begin{document}$$ G(L) = G_t - (G_t - G_0)\exp (- cL) \\$$\end{document} has been proposed which provides physically realizable values of G at extreme size values. The formula is simple enough to yield analytic solution of the number balance. Methods of estimation of three formula parameters and nucleation rate and examples of experimental data fitting have been presented as well.