view article
Figure 1
The NiZr structure (Kirkpatrick et al., 1962BB12) is a CrB-type structure Cmcm with lattice parameters |A| = 0.3268, |B| = 0.9973 and |C| = 0.4101 nm, defined by two Wyckoff positions: Ni at (0, 0.0817, 1/4) and Zr at (0, 0.3609, 1/4). Ni and Zr atoms projected in the [001] plane form hexagons that are the superimposition of two opposite regular pentagons (in red and blue in the figure) sharing the same diagonal with an accuracy better than 1%. The symbols + and − correspond to the z coordinates being equal, respectively, to 1/4 and −1/4. The two usual tiles of the Penrose tiling (rhombi of acute angles [\pi/10] and [\pi/5]) are outlined in light grey. All atomic positions belong to the [{\bb Z}]-module generated by the five vectors in green noted from 1 to 5. The structure can advantageously be described as a tiling of a unique equilateral hexagonal prototile drawn in purple (see Fig. 3[link]).

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733
Volume 74| Part 6| November 2018| Pages 647-658
https://doi.org/10.1107/S2053273318011439
Follow Acta Cryst. A
Sign up for e-alerts
E-alerts
Follow Acta Cryst. on Twitter
Twitter
Follow us on facebook
Facebook
Sign up for RSS feeds
RSS