Crystal Lab › Prototype structures › Trigonal
URu₃B₂
Trigonal · space group P-3 (No. 147) · Pearson hP48
Symmetry elements and Wyckoff positions (interactive)
URu₃B₂ in P-3
SettingUnit cell
- Lattice constants
- a = 10.953 Å, b = 10.953 Å, c = 5.935 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 616.7 ų
- Atoms in the conventional cell
- 48 (U 8, B 16, Ru 24)
- Formula units Z
- 8
- Pearson symbol
- hP48 — hexagonal / trigonal, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| U9 | U | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| U10 | U | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| B1 | B | 2d | 2 | 0.3333 | 0.6667 | 0.0120 |
| B2 | B | 2d | 2 | 0.3333 | 0.6667 | 0.4880 |
| U11 | U | 3e | 3 | 0.5000 | 0.0000 | 0.0000 |
| U12 | U | 3f | 3 | 0.5000 | 0.0000 | 0.5000 |
| B3 | B | 6g | 6 | 0.1640 | 0.3280 | 0.0060 |
| B4 | B | 6g | 6 | 0.1660 | 0.3300 | 0.4950 |
| Ru5 | Ru | 6g | 6 | 0.2457 | 0.4920 | 0.2497 |
| Ru6 | Ru | 6g | 6 | 0.7460 | 0.4920 | 0.2504 |
| Ru7 | Ru | 6g | 6 | 0.2536 | 0.2459 | 0.2497 |
| Ru8 | Ru | 6g | 6 | 0.7551 | 0.7473 | 0.2489 |
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 48 atoms drawn above are these sites multiplied by all 6 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
A2B3C_hP48_147_2d2g_4g_abef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP48, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (U: 1a; U: 1b; B: 2d; B: 2d; U: 3e; U: 3f; B: 6g; B: 6g; Ru: 6g; Ru: 6g; Ru: 6g; Ru: 6g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
UOs₃B₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C_hP48_147_2d2g_4g_abef-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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