Skip to content

Crystal Lab › Prototype structures › Monoclinic

Monoclinic (II) Ba₃CoIr₂O₉

Monoclinic · space group P12/c1 (No. 13) · Pearson mP60

Symmetry elements and Wyckoff positions (interactive)

Monoclinic (II) Ba₃CoIr₂O₉ in P12/c1

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

Unit cell

Lattice constants
a = 5.755 Å, b = 9.945 Å, c = 14.263 Å; α = 90.00°, β = 90.23°, γ = 90.00°
Cell volume
816.4 ų
Atoms in the conventional cell
60 (Co 4, Ba 12, O 36, Ir 8)
Formula units Z
4
Pearson symbol
mP60 — monoclinic, primitive lattice, 60 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co5Co2a20.00000.00000.0000
Co6Co2b20.50000.50000.0000
Ba1Ba2e20.00000.98300.2500
O9O2e20.00000.52100.2500
Ba2Ba2f20.50000.50140.2500
O10O2f20.50000.99200.2500
Ba3Ba4g40.49510.16600.0844
Ba4Ba4g40.00180.66760.0908
Ir7Ir4g40.50110.16710.8446
Ir8Ir4g40.00150.66540.8468
O11O4g40.27100.24100.7370
O12O4g40.82000.74800.7530
O13O4g40.72300.08900.5858
O14O4g40.20100.56360.5791
O15O4g40.98100.16500.0838
O16O4g40.51800.67400.0810
O17O4g40.27200.07100.5382
O18O4g40.73300.56200.5923

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 4 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_mP60_13_ef2g_ab_2g_ef8g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP60, then the space-group number 13, then the Wyckoff letters occupied by each element in turn (Co: 2a; Co: 2b; Ba: 2e; O: 2e; Ba: 2f; O: 2f; Ba: 4g; Ba: 4g; Ir: 4g; Ir: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Monoclinic (II).

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC2D9_mP60_13_ef2g_ab_2g_ef8g-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.

← H₂S (15 GPa)  ·  Space group P12/c1 (13 prototypes)  ·  All prototypes  ·  Room Temperature V₃O₅ — O₅V₃ →