Structure Model for Icosahedral Quasicrystal Based on Ammann Tiling

• Authors: R. Strzałka , J. Wolny
• Languages of publication: EN

Abstracts

EN

We derive a structure model for icosahedral quasicrystals. The model is based on a statistical approach involving the concept of average unit cell. This approach enables limiting calculations to real space as opposed to higher-dimensional analysis involving to unphysical atomic surface modeling. We start with the three-dimensional Ammann tiling with its two rhombohedral prototiles. For monoatomic decoration of the lattice nodes the perfect agreement with the higher-dimensional description was recently shown. In this paper we discuss the shape of the average unit cell and the first attempts for decoration scheme.

Keywords

EN

61.44.Br; 61.50.Ah

Discipline

• 61.50.Ah: Theory of crystal structure, crystal symmetry; calculations and modeling
• 61.44.Br: Quasicrystals

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 585-587

Dates

published

2014-08

Contributors

author

R. Strzałka

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland

author

J. Wolny

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.126.585