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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
K1K2b20.00000.00000.5000
O3O2c20.00000.50000.5000
W8W2d20.00000.50000.0000
O4O4g40.30000.80000.0000
K2K4h40.17500.67500.5000
O5O8i80.00000.34500.0000
O6O8i80.15000.07000.0000
W9W8i80.07800.20900.0000
O7O8j80.07500.21500.5000

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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