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Crystal Lab › Prototype structures › Orthorhombic

Cr₅O₁₂

Orthorhombic · space group Pbcn (No. 60) · Pearson oP68

Symmetry elements and Wyckoff positions (interactive)

Cr₅O₁₂ in Pbcn

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

Unit cell

Lattice constants
a = 12.044 Å, b = 8.212 Å, c = 8.177 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
808.7 ų
Atoms in the conventional cell
68 (Cr 20, O 48)
Formula units Z
4
Pearson symbol
oP68 — orthorhombic, primitive lattice, 68 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cr1Cr4c40.00000.39390.2500
Cr2Cr8d80.17190.88780.4768
Cr3Cr8d80.08570.75170.1119
O4O8d80.24540.73140.0906
O5O8d80.07500.77360.3535
O6O8d80.10030.98990.1032
O7O8d80.08060.50800.1356
O8O8d80.07070.27000.3741
O9O8d80.25380.48940.3625

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 68 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

A5B12_oP68_60_c2d_6d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP68, then the space-group number 60, then the Wyckoff letters occupied by each element in turn (Cr: 4c; Cr: 8d; Cr: 8d; O: 8d; O: 8d; O: 8d; O: 8d; O: 8d; O: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B12_oP68_60_c2d_6d-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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