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Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in ABC Star Polymers

Kenichi Hayashida, Tomonari Dotera, Atsushi Takano, and Yushu Matsushita
Phys. Rev. Lett. 98, 195502 – Published 8 May 2007
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Abstract

A mesoscopic tiling pattern with 12-fold symmetry has been observed in a three-component polymer system composed of polyisoprene, polystyrene, and poly(2-vinylpyridine) which forms a star-shaped terpolymer, and a polystyrene homopolymer blend. Transmission electron microscopy images reveal a nonperiodic tiling pattern covered with equilateral triangles and squares, their triangle/square number ratio of 2.3 (4/3), and a microbeam x-ray diffraction pattern shows dodecagonal symmetry. The same kind of quasicrystalline structures have been found for metal alloys (0.5nm), chalcogenides (2nm), and liquid crystals (10nm). The present result (50nm) confirms the universal nature of dodecagonal quasicrystals over several hierarchical length scales.

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  • Received 10 January 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.195502

©2007 American Physical Society

Authors & Affiliations

Kenichi Hayashida1, Tomonari Dotera2, Atsushi Takano1, and Yushu Matsushita1

  • 1Department of Applied Chemistry, Nagoya University, Nagoya 464-8603 Japan
  • 2Department of Polymer Chemistry, Kyoto University, Kyoto 615-8510, Japan

See Also

Quasicrystalline Polymers

Michael Schirber
Phys. Rev. Focus 19, 15 (2007)

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Issue

Vol. 98, Iss. 19 — 11 May 2007

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