Structure Model for Icosahedral Quasicrystal Based on Ammann Tiling |
| R. Strzałka and J. Wolny
Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland |
| Full Text PDF |
| 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. |
DOI: 10.12693/APhysPolA.126.585 PACS numbers: 61.44.Br, 61.50.Ah |