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Tetragonal Potassium Bronze (K₃W₅O₁₅)
Tetragonal · space group P4/mbm (No. 127) · Pearson tP46 · mineral: bronze
Symmetry elements and Wyckoff positions (interactive)
Tetragonal Potassium Bronze (K₃W₅O₁₅) in P4/mbm
SettingUnit cell
- Lattice constants
- a = 12.317 Å, b = 12.317 Å, c = 3.841 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 582.7 ų
- Atoms in the conventional cell
- 46 (K 6, O 30, W 10)
- Formula units Z
- 2
- Pearson symbol
- tP46 — tetragonal, primitive lattice, 46 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K1 | K | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| O3 | O | 2c | 2 | 0.0000 | 0.5000 | 0.5000 |
| W8 | W | 2d | 2 | 0.0000 | 0.5000 | 0.0000 |
| O4 | O | 4g | 4 | 0.3000 | 0.8000 | 0.0000 |
| K2 | K | 4h | 4 | 0.1750 | 0.6750 | 0.5000 |
| O5 | O | 8i | 8 | 0.0000 | 0.3450 | 0.0000 |
| O6 | O | 8i | 8 | 0.1500 | 0.0700 | 0.0000 |
| W9 | W | 8i | 8 | 0.0780 | 0.2090 | 0.0000 |
| O7 | O | 8j | 8 | 0.0750 | 0.2150 | 0.5000 |
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 46 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
A3B15C5_tP46_127_bh_cg2ij_di-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP46, then the space-group number 127, then the Wyckoff letters occupied by each element in turn (K: 2b; O: 2c; W: 2d; O: 4g; K: 4h; O: 8i; O: 8i; W: 8i; O: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Potassium Bronze.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B15C5_tP46_127_bh_cg2ij_di-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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