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Crystal Lab › Prototype structures › Hexagonal

Hexagonal Ba₃CoIr₂O₉

Hexagonal · space group P63/mmc (No. 194) · Pearson hP30

Symmetry elements and Wyckoff positions (interactive)

Hexagonal Ba₃CoIr₂O₉ in P63/mmc

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

Unit cell

Lattice constants
a = 5.764 Å, b = 5.764 Å, c = 14.295 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
411.3 ų
Atoms in the conventional cell
30 (Co 2, Ba 6, Ir 4, O 18)
Formula units Z
2
Pearson symbol
hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co3Co2a20.00000.00000.0000
Ba1Ba2b20.00000.00000.2500
Ba2Ba4f40.33330.66670.9120
Ir4Ir4f40.33330.66670.1540
O5O6h60.50040.00080.2500
O6O12k120.16190.32380.4196

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 30 atoms drawn above are these sites multiplied by all 24 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

A3BC2D9_hP30_194_bf_a_f_hk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Co: 2a; Ba: 2b; Ba: 4f; Ir: 4f; O: 6h; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ba₃CoSb₂O₉, Ba₃NiIr₂O₉, Ba₃(W_{0.5}Fe_{0.5})₂FeO₉ <!--beginning with an

Note: Hexagonal.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC2D9_hP30_194_bf_a_f_hk-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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