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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
U9U1a10.00000.00000.0000
U10U1b10.00000.00000.5000
B1B2d20.33330.66670.0120
B2B2d20.33330.66670.4880
U11U3e30.50000.00000.0000
U12U3f30.50000.00000.5000
B3B6g60.16400.32800.0060
B4B6g60.16600.33000.4950
Ru5Ru6g60.24570.49200.2497
Ru6Ru6g60.74600.49200.2504
Ru7Ru6g60.25360.24590.2497
Ru8Ru6g60.75510.74730.2489

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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