Crystal Lab › Prototype structures › Tetragonal
α-Li₃BN₂ BLi₃N₂
Tetragonal · space group P42/mnm (No. 136) · Pearson tP12
Symmetry elements and Wyckoff positions (interactive)
α-Li₃BN₂ in P42/mnm
SettingUnit cell
- Lattice constants
- a = 4.644 Å, b = 4.644 Å, c = 5.259 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 113.4 ų
- Atoms in the conventional cell
- 12 (B 2, Li 6, N 4)
- Formula units Z
- 2
- Pearson symbol
- tP12 — tetragonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| Li3 | Li | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| N4 | N | 4f | 4 | 0.7962 | 0.7962 | 0.0000 |
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 16 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
AB3C2_tP12_136_a_bd_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP12, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (B: 2a; Li: 2b; Li: 4d; N: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-Li₃BN₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2_tP12_136_a_bd_f-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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