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12-phosphotungstic acid [H₃PW₁₂O₄₀cdot5H₂O] (H4₁₆)
Cubic · space group Pn-3m (No. 224) · Pearson cP116 · Strukturbericht H416 · mineral: 12-phosphotungstic acid
Symmetry elements and Wyckoff positions (interactive)
12-phosphotungstic acid [H₃PW₁₂O₄₀cdot5H₂O] (H4₁₆) in Pn-3m
SettingUnit cell
- Lattice constants
- a = 12.141 Å, b = 12.141 Å, c = 12.141 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1789.6 ų
- Atoms in the conventional cell
- 116 (P 2, H 10, O 80, W 24)
- Formula units Z
- 2
- Pearson symbol
- cP116 — cubic, primitive lattice, 116 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P7 | P | 2a | 2 | 0.2500 | 0.2500 | 0.2500 |
| H1 | H | 4b | 4 | 0.0000 | 0.0000 | 0.0000 |
| H2 | H | 6d | 6 | 0.2500 | 0.7500 | 0.7500 |
| O3 | O | 8e | 8 | 0.3315 | 0.3315 | 0.3315 |
| O4 | O | 24k | 24 | 0.1701 | 0.1701 | 0.0161 |
| O5 | O | 24k | 24 | 0.3727 | 0.3727 | 0.5416 |
| O6 | O | 24k | 24 | 0.9378 | 0.9378 | 0.2418 |
| W8 | W | 24k | 24 | 0.4555 | 0.4555 | 0.2558 |
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 116 atoms drawn above are these sites multiplied by all 48 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
A5B40CD12_cP116_224_bd_e3k_a_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP116, then the space-group number 224, then the Wyckoff letters occupied by each element in turn (P: 2a; H: 4b; H: 6d; O: 8e; O: 24k; O: 24k; O: 24k; W: 24k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: H4₁₆, Phosphotungstic Acid.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B40CD12_cP116_224_bd_e3k_a_k-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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