Degenerate Quasicrystal of Hard Triangular Bipyramids

Engel M, Haji-Akbari A, Glotzer SC (2011)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Physical Review Letters American Physical Society

Publisher: American Physical Society

Book Volume: 107

Journal Issue: 21

DOI: 10.1103/PhysRevLett.107.215702

Abstract

We report a degenerate quasicrystal in Monte Carlo simulations of hard triangular bipyramids each composed of two regular tetrahedra sharing a single face. The dodecagonal quasicrystal is similar to that recently reported for hard tetrahedra [Haji-Akbari et al., Nature (London) 462, 773 (2009)] but degenerate in the pairing of tetrahedra, and self-assembles at packing fractions above 54%. This notion of degeneracy differs from the degeneracy of a quasiperiodic random tiling arising through phason flips. Free energy calculations show that a triclinic crystal is preferred at high packing fractions.

Authors with CRIS profile

Michael Engel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

University of Michigan US United States (USA) (US)

How to cite

APA:

Engel, M., Haji-Akbari, A., & Glotzer, S.C. (2011). Degenerate Quasicrystal of Hard Triangular Bipyramids. Physical Review Letters, 107(21). https://doi.org/10.1103/PhysRevLett.107.215702

MLA:

Engel, Michael, Amir Haji-Akbari, and Sharon C. Glotzer. "Degenerate Quasicrystal of Hard Triangular Bipyramids." Physical Review Letters 107.21 (2011).

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