Symmetry elements and Wyckoff positions (interactive)
Cu₄SnMg in F-43m
SettingUnit cell
- Lattice constants
- a = 7.042 Å, b = 7.042 Å, c = 7.042 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 349.2 ų
- Atoms in the conventional cell
- 24 (Mg 4, Sn 4, Cu 16)
- Formula units Z
- 4
- Pearson symbol
- cF24 — cubic, face-centred lattice, 24 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mg2 | Mg | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Sn3 | Sn | 4c | 4 | 0.2500 | 0.2500 | 0.2500 |
| Cu1 | Cu | 16e | 16 | 0.6250 | 0.6250 | 0.6250 |
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 24 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
A4BC_cF24_216_e_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF24, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Mg: 4a; Sn: 4c; Cu: 16e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Co₄CeMg, Co₄TbMg, Co₄USn, Co₄YMg, Cu₄AgZr, Cu₄CaIn, Cu₄DyAg, Cu₄DyAu, Cu₄DyIn, Cu₄ErAg, Cu₄ErAu, Cu₄ErCd, Cu₄ErPd, Cu₄GdAg, Cu₄GdAu, Cu₄GdIn, Cu₄GdPd, Cu₄HoAg, Cu₄HoAu, Cu₄HoCd, Cu₄HoIn, Cu₄InCa, Cu₄InMg, Cu₄InYb, Cu₄LuAu, Cu₄MnSn, Cu₄NdAg, Cu₄NdAu, Cu₄NdMg, Cu₄NdPd, Cu₄ScIn, Cu₄ScSn, Cu₄SmAg, Cu₄SmPd, Cu₄TbAg, Cu₄TbAu, Cu₄TbIn, Cu₄TmAg, Cu₄TmBe, Cu₄TmCd, Cu₄UAg, Cu₄UAu, Cu₄UPd, Cu₄YIn, Cu₄YMg, Cu₄YbAg, Cu₄YbAu, Cu₄YbCd, Cu₄YbIn, Cu₄YbNi, Cu₄YbPd, Ni₄AlU, Ni₄CaMg, Ni₄CeCd, Ni₄CeMg, Ni₄CeMn, Ni₄DyAu, Ni₄DyCd, Ni₄ErAu, Ni₄ErCd, Ni₄ErMn, Ni₄GdAu, Ni₄GdCd, Ni₄GdIn, Ni₄GdMg, Ni₄HoAu, Ni₄HoCd, Ni₄In
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC_cF24_216_e_a_c-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.
← LiGaCr₄O₈ · Space group F-43m (22 prototypes) · All prototypes · Gd₄RhIn →