Kinetic model for the chiral symmetry breaking transition in the growth front of a conglomerate crystal phase

Kouichi Asakura, Yasushi Nagasaka, Shuichi Osanai, Dilip K. Kondepudi

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In its molten phase, 1,1′-binaphthyl is racemic due to its high racemization rate, but it can crystallize as a conglomerate of R and S crystals. Our experiments have indicated that, under some conditions, the crystal growth front of 1,1′-binaphthyl shows many of the characteristics of an open system in which chiral symmetry is broken; i.e., the growing solid phase becomes predominantly R or S. Here we present a kinetic model to explain the observed chiral symmetry breaking. The model is based on growth due to attachment of R or S growth units to a crystal surface in a supercooled melt, Chiral symmetry breaking occurs due to chirally autocatalytic formation of R or S growth units on the growth surface. Unlike the many models suggested and studied in the 1980s, there is no cross-inhibition between R- and S-enantiomer in the model presented here. In our model, asymmetric and symmetric steady-state solutions that do not intersect were found. Through linear stability analysis, the critical point, at which a symmetric solution becomes unstable and makes a transition to an asymmetric solution, is determined.

Original languageEnglish
Pages (from-to)1586-1592
Number of pages7
JournalJournal of Physical Chemistry B
Volume109
Issue number4
DOIs
Publication statusPublished - 2005 Feb 3

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broken symmetry
Crystals
Kinetics
kinetics
crystals
Linear stability analysis
Enantiomers
enantiomers
Open systems
Crystal symmetry
Crystallization
crystal surfaces
Crystal growth
attachment
solid phases
Molten materials
crystal growth
critical point
Experiments

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Kinetic model for the chiral symmetry breaking transition in the growth front of a conglomerate crystal phase. / Asakura, Kouichi; Nagasaka, Yasushi; Osanai, Shuichi; Kondepudi, Dilip K.

In: Journal of Physical Chemistry B, Vol. 109, No. 4, 03.02.2005, p. 1586-1592.

Research output: Contribution to journalArticle

Asakura, Kouichi ; Nagasaka, Yasushi ; Osanai, Shuichi ; Kondepudi, Dilip K. / Kinetic model for the chiral symmetry breaking transition in the growth front of a conglomerate crystal phase. In: Journal of Physical Chemistry B. 2005 ; Vol. 109, No. 4. pp. 1586-1592.
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