Crystal Lab › Prototype structures › Tetragonal
LuNi₂B₂C
Tetragonal · space group I4/mmm (No. 139) · Pearson tI12
Symmetry elements and Wyckoff positions (interactive)
LuNi₂B₂C in I4/mmm
SettingUnit cell
- Lattice constants
- a = 3.464 Å, b = 3.464 Å, c = 10.631 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 127.6 ų
- Atoms in the conventional cell
- 12 (C 2, Lu 2, Nd 4, B 4)
- Formula units Z
- 2
- Pearson symbol
- tI12 — tetragonal, body-centred lattice, 12 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C2 | C | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Lu3 | Lu | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| Nd4 | Nd | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| B1 | B | 4e | 4 | 0.0000 | 0.0000 | 0.8618 |
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 12 atoms drawn above are these sites multiplied by all 32 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
A2BCD2_tI12_139_e_a_b_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI12, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (C: 2a; Lu: 2b; Nd: 4d; B: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
GdN₂B₂C, LaIr₂B₂C, LaN₂B₂C, LaPt₂B₂C, LaRh₂B₂C <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BCD2_tI12_139_e_a_b_d-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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