Crystal Lab › Prototype structures › Trigonal
Pd₇P₃
Trigonal · space group R3 (No. 146) · Pearson hR20
Symmetry elements and Wyckoff positions (interactive)
Pd₇P₃ in R3
SettingUnit cell
- Lattice constants
- a = 11.976 Å, b = 11.976 Å, c = 7.055 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 876.3 ų
- Atoms in the conventional cell
- 60 (Pd 42, P 18)
- Formula units Z
- 6
- Pearson symbol
- hR20 — hexagonal / trigonal, rhombohedral lattice, 20 atoms per conventional cell
- Symmetry operations
- 9 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pd3 | Pd | 3a | 3 | 0.0000 | 0.0000 | 0.2890 |
| Pd4 | Pd | 3a | 3 | 0.0000 | 0.0000 | 0.8740 |
| P1 | P | 9b | 9 | 0.2060 | 0.1950 | 0.3210 |
| P2 | P | 9b | 9 | 0.1750 | 0.9870 | 0.7400 |
| Pd5 | Pd | 9b | 9 | 0.4263 | 0.4997 | 0.6667 |
| Pd6 | Pd | 9b | 9 | 0.2620 | 0.0990 | 0.0260 |
| Pd7 | Pd | 9b | 9 | 0.2090 | 0.9680 | 0.3890 |
| Pd8 | Pd | 9b | 9 | 0.2340 | 0.2060 | 0.6360 |
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 60 atoms drawn above are these sites multiplied by all 9 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
A3B7_hR20_146_2b_2a4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR20, then the space-group number 146, then the Wyckoff letters occupied by each element in turn (Pd: 3a; Pd: 3a; P: 9b; P: 9b; Pd: 9b; Pd: 9b; Pd: 9b; Pd: 9b). 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 A3B7_hR20_146_2b_2a4b-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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