English

Ab-initio tiling and atomic structure for decagonal ZnMgDy quasicrystal

Materials Science 2011-12-19 v1

Abstract

We discover the detailed atomic structure of dd-MgZnY, a stable decagonal quasicrystal alloy of the layered Frank-Kasper type, and related phases, using the "tiling and decoration" approach. The atoms have invariable sites in the rectangle and triangle tiles of a 10-fold-symmetric planar tiling. To discover the lowest-energy structures, we combine the methods of density functional theory (DFT) total energy calculations, empirical oscillating pair potentials (fitted to DFT), fitting effective Hamiltonians for tilings, and discovering optimum tiling structures using a nonlocal tile-reshuffling algorithm. We find a family of practically stable compounds with varying composition, including the decagonal quasicrystal and the known Mg4_4Zn7_7 phase these are more stable than competing icosahedral structures by a small margi

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Cite

@article{arxiv.1112.3951,
  title  = {Ab-initio tiling and atomic structure for decagonal ZnMgDy quasicrystal},
  author = {M. Mihalkovic and C. L. Henley and J. Richmond-Decker and M. Oxborrow},
  journal= {arXiv preprint arXiv:1112.3951},
  year   = {2011}
}
R2 v1 2026-06-21T19:52:56.681Z