Crystal Lab › Prototype structures › Tetragonal
Low Temperature KBD₄ BD₄K
Tetragonal · space group P42/nmc (No. 137) · Pearson tP12
Symmetry elements and Wyckoff positions (interactive)
Low Temperature KBD₄ in P42/nmc
SettingUnit cell
- Lattice constants
- a = 4.636 Å, b = 4.636 Å, c = 6.571 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 141.2 ų
- Atoms in the conventional cell
- 12 (B 2, K 2, D 8)
- 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 | 0.7500 | 0.2500 | 0.7500 |
| K3 | K | 2b | 2 | 0.7500 | 0.2500 | 0.2500 |
| D2 | D | 8g | 8 | 0.2500 | 0.5400 | 0.1440 |
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
AB4C_tP12_137_a_g_b-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 137, then the Wyckoff letters occupied by each element in turn (B: 2a; K: 2b; D: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: LT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_tP12_137_a_g_b-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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