2007/05/08 by Kenichi Hayashida, Tomonari Dotera, Atsushi Takano +1 · 8 citations
Chemistry · Materials Science · #Chemistry #Combinatorics #Condensed matter physics #Crystallography #Icosahedral symmetry #Liquid Crystal Research Advancements #Materials science #Mesoscopic physics #Physics #Quasicrystal #Quasicrystal Structures and Properties #Supramolecular Self-Assembly in Materials
paper · doi:10.1103/physrevlett.98.195502
openalex publication_date 2007/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
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 (approximately equal to 4/sqrt[3]), and a microbeam x-ray diffraction pattern shows dodecagonal symmetry. The same kind of quasicrystalline structures have been found for metal alloys (approximately 0.5 nm), chalcogenides (approximately 2 nm), and liquid crystals (approximately 10 nm). The present result (approximately 50 nm) confirms the universal nature of dodecagonal quasicrystals over several hierarchical length scales.