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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
P7P2a20.25000.25000.2500
H1H4b40.00000.00000.0000
H2H6d60.25000.75000.7500
O3O8e80.33150.33150.3315
O4O24k240.17010.17010.0161
O5O24k240.37270.37270.5416
O6O24k240.93780.93780.2418
W8W24k240.45550.45550.2558

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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