Crystal Lab › Prototype structures › Trigonal
PdAl
Trigonal · space group R-3 (No. 148) · Pearson hR26
Symmetry elements and Wyckoff positions (interactive)
PdAl in R-3
SettingUnit cell
- Lattice constants
- a = 15.659 Å, b = 15.659 Å, c = 5.251 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1115.1 ų
- Atoms in the conventional cell
- 78 (Al 39, Pd 39)
- Formula units Z
- 39
- Pearson symbol
- hR26 — hexagonal / trigonal, rhombohedral lattice, 26 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Pd4 | Pd | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| Al2 | Al | 18f | 18 | 0.8467 | 0.4013 | 0.9993 |
| Al3 | Al | 18f | 18 | 0.6533 | 0.9037 | 0.0037 |
| Pd5 | Pd | 18f | 18 | 0.8447 | 0.4003 | 0.4993 |
| Pd6 | Pd | 18f | 18 | 0.6533 | 0.9037 | 0.5017 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 78 atoms drawn above are these sites multiplied by all 18 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
AB_hR26_148_a2f_b2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR26, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Al: 3a; Pd: 3b; Al: 18f; Al: 18f; Pd: 18f; Pd: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hR26_148_a2f_b2f-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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