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Ca₃Al₂O₆ (E9₁)

Cubic · space group Pm-3m (No. 221) · Pearson cP33 · Strukturbericht E91

Symmetry elements and Wyckoff positions (interactive)

Ca₃Al₂O₆ (E9₁) in Pm-3m

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

Unit cell

Lattice constants
a = 7.624 Å, b = 7.624 Å, c = 7.624 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
443.1 ų
Atoms in the conventional cell
33 (Ca 9, Al 6, O 18)
Formula units Z
3
Pearson symbol
cP33 — cubic, primitive lattice, 33 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca3Ca1a10.00000.00000.0000
Al1Al3c30.00000.50000.5000
Al2Al3d30.50000.00000.0000
O5O6f60.30000.50000.5000
Ca4Ca8g80.20000.20000.2000
O6O12h120.20000.50000.0000

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 33 atoms drawn above are these sites multiplied by all 48 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

A2B3C6_cP33_221_cd_ag_fh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP33, then the space-group number 221, then the Wyckoff letters occupied by each element in turn (Ca: 1a; Al: 3c; Al: 3d; O: 6f; Ca: 8g; O: 12h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: E9₁.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C6_cP33_221_cd_ag_fh-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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