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Th₆Mn₂₃ (D8_{a})

Cubic · space group Fm-3m (No. 225) · Pearson cF116 · Strukturbericht D8a

Symmetry elements and Wyckoff positions (interactive)

Th₆Mn₂₃ (D8_{a}) in Fm-3m

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

Unit cell

Lattice constants
a = 12.523 Å, b = 12.523 Å, c = 12.523 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1963.9 ų
Atoms in the conventional cell
116 (Mn 92, Th 24)
Formula units Z
4
Pearson symbol
cF116 — cubic, face-centred lattice, 116 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn1Mn4a40.00000.00000.0000
Mn2Mn24d240.00000.25000.2500
Th5Th24e240.70300.00000.0000
Mn3Mn32f320.67800.67800.6780
Mn4Mn32f320.87800.87800.8780

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 116 atoms drawn above are these sites multiplied by all 192 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

A23B6_cF116_225_ad2f_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF116, then the space-group number 225, then the Wyckoff letters occupied by each element in turn (Mn: 4a; Mn: 24d; Th: 24e; Mn: 32f; Mn: 32f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Co₂₃Zr₆, Fe₂₃Er₆, Fe₂₃Ho₆, Fe₂₃Sm₆, Fe₂₃Tb₆, Li₂₃Sr₆, Mg₂₃Ba₆, Mg₂₃Dy₆, Mg₂₃Er₆, Mg₂₃Gd₆, Mg₂₃Ho₆, Mg₂₃Lu₆, Mg₂₃Nd₆, Mg₂₃Sr₆, Mg₂₃Tb₆, Mg₂₃Th₆, Mg₂₃Tm₆, Mg₂₃Y₆, Mn₂₃Th_{6-x}Y_{x}, Mn₂₃Th₆, Mn₂₃Y₆, Fe₃Zn, Ge₁₃Fe₁₀Ti₆ <!--beginning with an

Note: D8_{a}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A23B6_cF116_225_ad2f_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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