Crystal Lab › Prototype structures › Cubic
Al₁₃Cr₄Si₄
Cubic · space group F-43m (No. 216) · Pearson cF84
Symmetry elements and Wyckoff positions (interactive)
Al₁₃Cr₄Si₄ in F-43m
SettingUnit cell
- Lattice constants
- a = 10.917 Å, b = 10.917 Å, c = 10.917 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1301.1 ų
- Atoms in the conventional cell
- 84 (Al 52, Cr 16, Si 16)
- Formula units Z
- 4
- Pearson symbol
- cF84 — cubic, face-centred lattice, 84 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Cr4 | Cr | 16e | 16 | 0.3421 | 0.3421 | 0.3421 |
| Si5 | Si | 16e | 16 | 0.1260 | 0.1260 | 0.1260 |
| Al2 | Al | 24f | 24 | 0.3103 | 0.0000 | 0.0000 |
| Al3 | Al | 24g | 24 | 0.5600 | 0.2500 | 0.2500 |
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 84 atoms drawn above are these sites multiplied by all 96 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
A13B4C4_cF84_216_afg_e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF84, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Al: 4a; Cr: 16e; Si: 16e; Al: 24f; Al: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Al₁₇Mn₄ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B4C4_cF84_216_afg_e_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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