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Mg₂Zn₁₁ (D8_{c})

Cubic · space group Pm-3 (No. 200) · Pearson cP39 · Strukturbericht D8c

Symmetry elements and Wyckoff positions (interactive)

Mg₂Zn₁₁ (D8_{c}) in Pm-3

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

Unit cell

Lattice constants
a = 8.552 Å, b = 8.552 Å, c = 8.552 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
625.5 ų
Atoms in the conventional cell
39 (Zn 33, Mg 6)
Formula units Z
3
Pearson symbol
cP39 — cubic, primitive lattice, 39 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zn2Zn1b10.50000.50000.5000
Zn4Zn6e60.76500.00000.0000
Mg1Mg6f60.68000.00000.5000
Zn3Zn6g60.84000.50000.0000
Zn5Zn8i80.77800.77800.7780
Zn6Zn12k120.50000.75700.6570

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 39 atoms drawn above are these sites multiplied by all 24 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

A2B11_cP39_200_f_begik-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP39, then the space-group number 200, then the Wyckoff letters occupied by each element in turn (Zn: 1b; Zn: 6e; Mg: 6f; Zn: 6g; Zn: 8i; Zn: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Na₂Cd₁₁, Mg₂Cu₆Al₅, Mg₂Cu₆Ga₅, Na₂Au₆In₅, Sc₂Co₇Ga₄, K₆Na₁₄CdTl₁₈, K₆Na₁₄HgTl₁₈, K₆Na₁₄MgTl₁₈, K₆Na₁₄ZnTl₁₈ <!--beginning with an

Note: D8_{c}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B11_cP39_200_f_begik-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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