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Mathematical Modeling of Chiral Symmetry Breaking due to Differences in Crystal Growth Kinetics
Author(s) -
Suwannasang Kittisak,
Coquerel Gerard,
Rougeot Celine,
Flood Adrian E.
Publication year - 2014
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.201400056
Subject(s) - nucleation , kinetics , crystal growth , thermodynamics , enantiomer , chemistry , crystal (programming language) , suspension (topology) , crystallization , growth rate , chemical physics , materials science , crystallography , stereochemistry , physics , mathematics , classical mechanics , geometry , homotopy , pure mathematics , computer science , programming language
Two simple models are proposed and tested for the mechanism of ripening of a conglomerate suspension to a single enantiomorph by temperature cycles. In both models, the initial crystal size distributions and masses of the two enantiomorphs are equal, but either the crystal growth rate or the growth rate distribution is varied. The difference in the crystal growth kinetics of the two enantiomorphs may be caused by the intrinsic thermodynamic stability of the crystals occurring in the initial suspension. The initial nucleation of one of the two enantiomers will occur earlier than that of the counter‐enantiomer. This results in the formation of two populations occurring under different conditions, leading to different internal crystalline perfection and therefore different thermodynamic stability.