Symmetry elements and Wyckoff positions (interactive)
PrRu₄P₁₂ in P23
SettingUnit cell
- Lattice constants
- a = 8.036 Å, b = 8.036 Å, c = 8.036 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 518.9 ų
- Atoms in the conventional cell
- 34 (Pr 2, Ru 8, P 24)
- Formula units Z
- 2
- Pearson symbol
- cP34 — cubic, primitive lattice, 34 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pr1 | Pr | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Pr2 | Pr | 1b | 1 | 0.5000 | 0.5000 | 0.5000 |
| Ru3 | Ru | 4e | 4 | 0.2507 | 0.2507 | 0.2507 |
| Ru4 | Ru | 4e | 4 | 0.7493 | 0.7493 | 0.7493 |
| P5 | P | 12j | 12 | 0.0000 | 0.3578 | 0.1442 |
| P6 | P | 12j | 12 | 0.4998 | 0.8583 | 0.6429 |
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 34 atoms drawn above are these sites multiplied by all 12 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
A12BC4_cP34_195_2j_ab_2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP34, then the space-group number 195, then the Wyckoff letters occupied by each element in turn (Pr: 1a; Pr: 1b; Ru: 4e; Ru: 4e; P: 12j; P: 12j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A12BC4_cP34_195_2j_ab_2e-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.
· Space group P23 (2 prototypes) · All prototypes · Cd₈As₇Cl →