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Orthorhombic CrO₃

Orthorhombic · space group Ama2 (No. 40) · Pearson oC16

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic CrO₃ in Ama2

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

Unit cell

Lattice constants
a = 5.743 Å, b = 8.856 Å, c = 4.789 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
243.6 ų
Atoms in the conventional cell
16 (O 12, Cr 4)
Formula units Z
4
Pearson symbol
oC16 — orthorhombic, base-centred lattice, 16 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O4a40.00000.00000.4440
Cr1Cr4b40.25000.09700.3060
O3O4b40.25000.27800.5000
O4O4b40.25000.22200.0000

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 16 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

AB3_oC16_40_b_a2b-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC16, then the space-group number 40, then the Wyckoff letters occupied by each element in turn (O: 4a; Cr: 4b; O: 4b; O: 4b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Orthorhombic CrO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_oC16_40_b_a2b-002 (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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