A Brownian quasi-crystal of pre-assembled colloidal Penrose tiles

Nature
Po-Yuan Wang, T G Mason

Abstract

Penrose's pentagonal P2 quasi-crystal1-4 is a beautiful, hierarchically organized multiscale structure in which kite- and dart-shaped tiles are arranged into local motifs, such as pentagonal stars, which are in turn arranged into various close-packed superstructural patterns that become increasingly complex at larger length scales. Although certain types of quasi-periodic structure have been observed in hard and soft matter, such structures are difficult to engineer, especially over large areas, because generating the necessary, highly specific interactions between constituent building blocks is challenging. Previously reported soft-matter quasi-crystals of dendrimers5, triblock copolymers6, nanoparticles7 and polymeric micelles8 have been limited to 12- or 18-fold symmetries. Because routes for self-assembling complex colloidal building blocks9-11 into low-defect dynamic superstructures remain limited12, alternative methods, such as using optical and directed assembly, are being explored13,14. Holographic laser tweezers15 and optical standing waves16 have been used to hold microspheres in local quasi-crystalline arrangements, and magnetic microspheres of two different sizes have been assembled into local five-fold-symmetric qu...Continue Reading

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Citations

Sep 13, 2019·Nature Communications·Yanqiu JiangChao Gao
Jun 4, 2020·The Journal of Chemical Physics·Etienne FayenFrank Smallenburg
Dec 18, 2020·Physical Review. E·Yuri Martínez-Ratón, Enrique Velasco
Jan 30, 2021·Nature Materials·Mohammad-Amin MoradiJoseph P Patterson
Jun 3, 2021·Journal of Materials Chemistry. B, Materials for Biology and Medicine·Yadu Nath Vakkipurath KodakkadanIvan Rehor
Nov 20, 2021·Langmuir : the ACS Journal of Surfaces and Colloids·David M Goggin, Joseph R Samaniuk

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Methods Mentioned

BETA
light-scattering
optical diffraction
optical microscopy
using electron beam

Software Mentioned

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