generation of supramolecular chirality around twofold rotational or helical axes in crystalline assemblies of achiral components

generation of supramolecular chirality around twofold rotational or helical axes in crystalline assemblies of achiral components

;Mikiji Miyata;Norimitsu Tohnai;Ichiro Hisaki;Toshiyuki Sasaki
journal of hospitality and tourism management 2015 Vol. 7 pp. 1914-1928
182
miyata2015symmetrygeneration

Abstract

A multi-point approximation method clarifies supramolecular chirality of twofold rotational or helical assemblies as well as bundles of the one-dimensional (1D) assemblies. While one-point approximation of materials claims no chirality generation of such assemblies, multi-point approximations do claim possible generation in the 1D assemblies of bars and plates. Such chirality derives from deformations toward three-axial directions around the helical axes. The chiral columns are bundled in chiral ways through symmetry operations. The preferable right- or left-handed columns are bundled together to yield chiral crystals with right- or left-handedness, respectively, indicating that twofold helix symmetry operations cause chiral crystals composed of achiral components via a three-stepwise and three-directional process.

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10.3390/sym7041914
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