Bronze-mean hexagonal quasicrystal

Dotera, Tomonari (author), Bekku, Shinichi (author), Ziherl, Primož (author)

The most striking feature of conventional quasicrystals is their nontraditional symmetry characterised by icosahedral, dodecagonal, decagonal, or octagonal axes. The symmetry and the aperiodicity of these materials stem from an irrational ratio of two or more length scales controlling their structure, the best-known examples being the Penrose and the Ammann-Beenker tiling as two-dimensional models related to the golden and the silver mean, respectively. Surprisingly, no other metallic-mean tilings have been discovered so far. Here we propose a self-similar bronze-mean hexagonal pattern, which may be viewed as a projection of a higher-dimensional periodic lattice with a Koch-like snowflake projection window. We use numerical simulations to demonstrate that a disordered variant of this quasicrystal can be materialised in soft polymeric colloidal particles with a core-shell architecture. Moreover, by varying the geometry of the pattern we generate a continuous sequence of structures, which provide an alternative interpretation of quasicrystalline approximants observed in several metal- silicon alloys.

• Language: English
• Keywords: quasicrystals, colloids, metallic mean, bronze mean
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2017
• Number of pages: Str. 987-992
• Numbering: Vol. 16, no. 16
• PID: 20.500.12556/RUL-103180
• UDC: 53
• ISSN on article: 1476-1122
• DOI: 10.1038/NMAT4963
• COBISS.SI-ID: 30811175
• Publication date in RUL: 14.09.2018

Record is a part of a journal

• Title: Nature materials
• Publisher: Nature Pub. Group
• ISSN: 1476-1122
• COBISS.SI-ID: 2763034

Secondary language

• Language: Slovenian
• Keywords: kvazikristali, koloidi, kovinsko razmerje, bronasto razmerje

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 642774
• Name: Hybrid Colloidal Systems with Designed Response
• Acronym: COLLDENSE