Symmetry elements and Wyckoff positions (interactive)
YCd₆ in Im-3
SettingUnit cell
- Lattice constants
- a = 15.482 Å, b = 15.482 Å, c = 15.482 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 3710.9 ų
- Atoms in the conventional cell
- 184 (Cd 160, Y 24)
- Formula units Z
- 8
- Pearson symbol
- cI184 — cubic, body-centred lattice, 184 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cd1 | Cd | 12d | 12 | 0.4055 | 0.0000 | 0.0000 |
| Cd2 | Cd | 12e | 12 | 0.6902 | 0.0000 | 0.5000 |
| Cd3 | Cd | 16f | 16 | 0.6608 | 0.6608 | 0.6608 |
| Cd4 | Cd | 24g | 24 | 0.0000 | 0.0923 | 0.2407 |
| Cd5 | Cd | 24g | 24 | 0.0000 | 0.3460 | 0.4044 |
| Cd6 | Cd | 24g | 24 | 0.0000 | 0.0832 | 0.0741 |
| Y8 | Y | 24g | 24 | 0.0000 | 0.2997 | 0.1898 |
| Cd7 | Cd | 48h | 48 | 0.6183 | 0.7003 | 0.8405 |
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 184 atoms drawn above are these sites multiplied by all 48 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
A20B3_cI184_204_def3gh_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI184, then the space-group number 204, then the Wyckoff letters occupied by each element in turn (Cd: 12d; Cd: 12e; Cd: 16f; Cd: 24g; Cd: 24g; Cd: 24g; Y: 24g; Cd: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CeCd₆, DyCd₆, ErCd₆, EuCd₆, GdCd₆, HoCd₆, LuCd₆, NdCd₆, PrCd₆, PuCd₆, SmCd₆, TbCd₆, TmCd₆ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A20B3_cI184_204_def3gh_g-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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