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Crystal Lab › Prototype structures › Monoclinic

α-BaIrO₃ Perovskite

Monoclinic · space group C12/m1 (No. 12) · Pearson mC60

Symmetry elements and Wyckoff positions (interactive)

α-BaIrO₃ Perovskite in C12/m1

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

Unit cell

Lattice constants
a = 10.005 Å, b = 5.751 Å, c = 20.002 Å; α = 90.00°, β = 132.41°, γ = 90.00°
Cell volume
849.9 ų
Atoms in the conventional cell
60 (Ir 12, Ba 12, O 36)
Formula units Z
12
Pearson symbol
mC60 — monoclinic, base-centred lattice, 60 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ir1Ir2a20.00000.00000.0000
Ir2Ir2c20.00000.00000.5000
Ba3Ba4i40.97310.00000.7510
Ba4Ba4i40.55770.00000.9266
Ba5Ba4i40.42750.00000.5772
Ir6Ir4i40.73850.00000.8236
Ir7Ir4i40.20970.00000.6772
O8O4i40.48570.00000.7705
O9O4i40.00910.00000.9010
O10O4i40.93590.00000.5766
O11O8j80.18540.74600.7381
O12O8j80.80250.23500.9176
O13O8j80.19130.23140.5953

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 60 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_mC60_12_3i_ac2i_3i3j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC60, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Ir: 2a; Ir: 2c; Ba: 4i; Ba: 4i; Ba: 4i; Ir: 4i; Ir: 4i; O: 4i; O: 4i; O: 4i; O: 8j; O: 8j; O: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-BaIrO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_mC60_12_3i_ac2i_3i3j-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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