Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry

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Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry.

Micelles are the simplest example of self-assembly found in nature. As many other colloids, they can self-assemble in aqueous solution to form ordered periodic structures. These structures so far all exhibited classical crystallographic symmetries. Here we report that micelles in solution can self-assemble into quasicrystalline phases. We observe phases with 12-fold and 18-fold diffraction symm...

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Square triangle tilings are relevant models for quasicrystals. We introduce a new self-similar tile-substitution which yields the well-known nonperiodic square triangle tilings of Schlottmann. It is shown that the new tilings are locally derivable from Schlottmann’s, but not vice versa, and that they are mutually locally derivable with the undecorated square triangle tilings. Furthermore, the r...

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ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 2011

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.1008695108