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KBrO₃ (G0₇)

Trigonal · space group R3m (No. 160) · Pearson hR5 · Strukturbericht G07

Symmetry elements and Wyckoff positions (interactive)

KBrO₃ (G0₇) in R3m

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

Unit cell

Lattice constants
a = 6.011 Å, b = 6.011 Å, c = 8.152 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
255.1 ų
Atoms in the conventional cell
15 (Br 3, K 3, O 9)
Formula units Z
3
Pearson symbol
hR5 — hexagonal / trigonal, rhombohedral lattice, 5 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Br1Br3a30.00000.00000.4827
K2K3a30.00000.00000.0000
O3O9b90.14460.85540.4002

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 15 atoms drawn above are these sites multiplied by all 18 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

ABC3_hR5_160_a_a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR5, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Br: 3a; K: 3a; O: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AgBaI₃, AsAlO₃, AsGaO₃, AsInO₃, AsYO₃, BaTiO₃, BiFeO₃, BiYO₃, CsBrO₃, CsClO₃, CsGeBr₃, CsGeCl₃, CsGeI₃, CsIO₃, CsMnN₃, CsSnI₃, CsTaO₃, FeBiO₃, Ge2O₃, GePbO₃, GeSnO₃, GeTiO₃, HeNH₃, KBrO₃, KClO₃, KIO₃, KNbO₃, LaAlO₃, LaCoO₃, LaWN₃, LiUO₃, PbSnO₃, PrCoO₃, RbBrO₃, RbClO₃, RbIO₃, RbNO₃, RbNbO₃, SbAlO₃, SbGaO₃, SbInO₃, SbYO₃, Si2O₃, TlBrO₃, TlClO₃, TlIO₃ <!--beginning with an

Note: G0₇.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_hR5_160_a_a_b-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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