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Crystal Lab › Prototype structures › Tetragonal

BaRu₆O₁₂

Tetragonal · space group P4/n (No. 85) · Pearson tP76

Symmetry elements and Wyckoff positions (interactive)

BaRu₆O₁₂ in P4/n

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

Unit cell

Lattice constants
a = 9.838 Å, b = 9.838 Å, c = 9.368 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
906.7 ų
Atoms in the conventional cell
76 (Ba 4, O 48, Ru 24)
Formula units Z
4
Pearson symbol
tP76 — tetragonal, primitive lattice, 76 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2c20.25000.25000.2911
Ba2Ba2c20.25000.25000.8790
O3O8g80.39390.44350.0892
O4O8g80.79460.41180.0770
O5O8g80.89640.94650.2420
O6O8g80.29600.90840.2568
O7O8g80.39840.44770.4229
O8O8g80.79730.40840.4114
Ru10Ru8g80.41780.89960.7474
Ru11Ru8g80.58170.09730.9205
Ru9Ru8g80.58110.10220.5860

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 76 atoms drawn above are these sites multiplied by all 8 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

AB12C6_tP76_85_2c_6g_3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP76, then the space-group number 85, then the Wyckoff letters occupied by each element in turn (Ba: 2c; Ba: 2c; O: 8g; O: 8g; O: 8g; O: 8g; O: 8g; O: 8g; Ru: 8g; Ru: 8g; Ru: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB12C6_tP76_85_2c_6g_3g-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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