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arXiv · 2408.05003

A patchy-particle 3-dimensional octagonal quasicrystal

Akie Kowaguchi·Savan Mehta·Jonathan P. K. Doye·Eva G. Noya
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Abstract

We devise an ideal 3-dimensional octagonal quasicrystal that is based upon the 2-dimensional Ammann-Beenker tiling and that is potentially suitable for realization with patchy particles. Based on an analysis of its local environments we design a binary system of 8- and 5-patch particles that in simulations assembles into a 3-dimensional octagonal quasicrystal. The local structure is subtly different from the original ideal quasicrystal possessing a narrower coordination-number distribution; in fact, the 8-patch particles are not needed and a one-component system of the 5-patch particles assembles into an essentially identical octagonal quasicrystal. We also consider a one-component system of the 8-patch particles; this assembles into a cluster with a number of crystalline domains, but which, because of the coherent boundaries between the crystallites, has approximate eight-fold order. We envisage that these systems could be realized using DNA origami or protein design.

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Akie Kowaguchi, Savan Mehta, Jonathan P. K. Doye, Eva G. Noya. 2024-08-09. A patchy-particle 3-dimensional octagonal quasicrystal. https://doi.org/10.1063/5.0292922

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