Kinetic model for the chiral symmetry breaking transition in the growth front of a conglomerate crystal phase.
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.
Asakura
Kouichi
K
Department of Applied Chemistry, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku, Yokohama 223-8522, Japan. asakura@applc.keio.ac.jp
Nagasaka
Yasushi
Y
Osanai
Shuichi
S
Kondepudi
Dilip K
DK