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Generation of Supramolecular Chirality around Twofold Rotational or Helical Axes in Crystalline Assemblies of Achiral Components

1
The Institute of Scientific and Industrial Research, Osaka University, Ibaraki, Osaka 567-0047, Japan
2
Department of Material and Life Science, Graduate School of Engineering, Osaka University, Suita, Osaka 565-0871, Japan
3
Department of Chemistry and Biology, Graduate School of Science and Engineering, Ehime University, Matsuyama, Ehime 790-8577, Japan
*
Author to whom correspondence should be addressed.
Academic Editor: Rui Tamura
Symmetry 2015, 7(4), 1914-1928; https://doi.org/10.3390/sym7041914
Received: 29 September 2015 / Revised: 14 October 2015 / Accepted: 14 October 2015 / Published: 21 October 2015
(This article belongs to the Special Issue Chiral Organic Crystal)
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. View Full-Text
Keywords: supramolecular assemblies; supramolecular chirality; twofold helix; multi-point approximation; chirality generation; achiral components; columnar bundles; chiral crystals; handedness determination supramolecular assemblies; supramolecular chirality; twofold helix; multi-point approximation; chirality generation; achiral components; columnar bundles; chiral crystals; handedness determination
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Miyata, M.; Tohnai, N.; Hisaki, I.; Sasaki, T. Generation of Supramolecular Chirality around Twofold Rotational or Helical Axes in Crystalline Assemblies of Achiral Components. Symmetry 2015, 7, 1914-1928.

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