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Crystal Lab › Prototype structures › Monoclinic

Co₂Al₉ (D8_{d})

Monoclinic · space group P121/c1 (No. 14) · Pearson mP22

Symmetry elements and Wyckoff positions (interactive)

Co₂Al₉ (D8_{d}) in P121/c1

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

Unit cell

Lattice constants
a = 6.213 Å, b = 6.290 Å, c = 8.556 Å; α = 90.00°, β = 94.76°, γ = 90.00°
Cell volume
333.2 ų
Atoms in the conventional cell
22 (Al 18, Co 4)
Formula units Z
2
Pearson symbol
mP22 — monoclinic, primitive lattice, 22 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al2a20.00000.00000.0000
Al2Al4e40.59560.53810.2318
Al3Al4e40.91110.21010.2691
Al4Al4e40.61090.30690.5014
Al5Al4e40.78410.88520.4583
Co6Co4e40.73540.88510.1665

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 22 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

A9B2_mP22_14_a4e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP22, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 4e; Al: 4e; Al: 4e; Al: 4e; Co: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ir₂Al₉, Rh₂Al₉ <!--beginning with an

Note: D8_{d}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B2_mP22_14_a4e_e-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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