Engel M, Haji-Akbari A, Glotzer SC (2011)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2011
Publisher: American Physical Society
Book Volume: 107
Journal Issue: 21
DOI: 10.1103/PhysRevLett.107.215702
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.
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).
BibTeX: Download