Crystal Lab › Prototype structures › Hexagonal
Ca₅Pb₃
Hexagonal · space group P63mc (No. 186) · Pearson hP48
Symmetry elements and Wyckoff positions (interactive)
Ca₅Pb₃ in P63mc
SettingUnit cell
- Lattice constants
- a = 16.230 Å, b = 16.230 Å, c = 7.040 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1606.0 ų
- Atoms in the conventional cell
- 48 (Ca 30, Pb 18)
- Formula units Z
- 6
- Pearson symbol
- hP48 — hexagonal / trigonal, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 6c | 6 | 0.4210 | 0.5790 | 0.2800 |
| Ca2 | Ca | 6c | 6 | 0.9130 | 0.0870 | 0.7800 |
| Ca3 | Ca | 6c | 6 | 0.2440 | 0.7560 | 0.7760 |
| Pb5 | Pb | 6c | 6 | 0.1300 | 0.8700 | 0.7400 |
| Pb6 | Pb | 6c | 6 | 0.2030 | 0.7970 | 0.2500 |
| Pb7 | Pb | 6c | 6 | 0.4630 | 0.5370 | 0.7480 |
| Ca4 | Ca | 12d | 12 | 0.3333 | 0.0000 | 0.0000 |
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 48 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
A5B3_hP48_186_3cd_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP48, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Ca: 6c; Ca: 6c; Ca: 6c; Pb: 6c; Pb: 6c; Pb: 6c; Ca: 12d). 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 A5B3_hP48_186_3cd_3c-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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