Symmetry elements and Wyckoff positions (interactive)
KGe in P-43n
SettingUnit cell
- Lattice constants
- a = 12.780 Å, b = 12.780 Å, c = 12.780 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2087.3 ų
- Atoms in the conventional cell
- 64 (Ge 32, K 32)
- Formula units Z
- 32
- Pearson symbol
- cP64 — cubic, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ge1 | Ge | 8e | 8 | 0.0710 | 0.0710 | 0.0710 |
| K3 | K | 8e | 8 | 0.3320 | 0.3320 | 0.3320 |
| Ge2 | Ge | 24i | 24 | 0.0640 | 0.3200 | 0.4220 |
| K4 | K | 24i | 24 | 0.3360 | 0.1420 | 0.0640 |
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 64 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
AB_cP64_218_ei_ei-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP64, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (Ge: 8e; K: 8e; Ge: 24i; K: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CsGe, CsSi, KSi, RbGe, RbSi <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_cP64_218_ei_ei-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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