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Crystal Lab › Prototype structures › Monoclinic

β-BaIrO₃ Perovskite

Monoclinic · space group C12/m1 (No. 12) · Pearson mC50

Symmetry elements and Wyckoff positions (interactive)

β-BaIrO₃ Perovskite in C12/m1

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

Unit cell

Lattice constants
a = 9.955 Å, b = 5.743 Å, c = 13.805 Å; α = 90.00°, β = 119.23°, γ = 90.00°
Cell volume
688.8 ų
Atoms in the conventional cell
50 (Ba 10, O 30, Ir 10)
Formula units Z
10
Pearson symbol
mC50 — monoclinic, base-centred lattice, 50 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
O7O2b20.00000.50000.0000
Ir4Ir2c20.00000.00000.5000
O8O4e40.25000.25000.0000
Ba2Ba4i40.25300.00000.3886
Ba3Ba4i40.80900.00000.2139
Ir5Ir4i40.54710.00000.3215
Ir6Ir4i40.39540.00000.0920
O9O4i40.70300.00000.8030
O10O4i40.21700.00000.5607
O11O8j80.55300.22100.2002
O12O8j80.49070.72900.6085

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 50 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

ABC3_mC50_12_a2i_c2i_be2i2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC50, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2b; Ir: 2c; O: 4e; Ba: 4i; Ba: 4i; Ir: 4i; Ir: 4i; O: 4i; O: 4i; O: 8j; O: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-BaIrO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_mC50_12_a2i_c2i_be2i2j-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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