Crystal Lab › Prototype structures › Trigonal
Ag₅Pb₂O₆
Trigonal · space group P31m (No. 157) · Pearson hP13
Symmetry elements and Wyckoff positions (interactive)
Ag₅Pb₂O₆ in P31m
SettingUnit cell
- Lattice constants
- a = 5.939 Å, b = 5.939 Å, c = 6.428 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 196.4 ų
- Atoms in the conventional cell
- 13 (Ag 5, Pb 2, O 6)
- Formula units Z
- 1
- Pearson symbol
- hP13 — hexagonal / trigonal, primitive lattice, 13 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 1a | 1 | 0.0000 | 1.0000 | 0.2640 |
| Ag2 | Ag | 1a | 1 | 0.0000 | 1.0000 | 0.7360 |
| Pb6 | Pb | 2b | 2 | 0.3333 | 0.6667 | 0.0220 |
| Ag3 | Ag | 3c | 3 | 0.5000 | 1.0000 | 0.5220 |
| O4 | O | 3c | 3 | 0.6030 | 1.0000 | 0.2150 |
| O5 | O | 3c | 3 | 0.3970 | 1.0000 | 0.8290 |
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 13 atoms drawn above are these sites multiplied by all 6 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
A5B6C2_hP13_157_2ac_2c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP13, then the space-group number 157, then the Wyckoff letters occupied by each element in turn (Ag: 1a; Ag: 1a; Pb: 2b; Ag: 3c; O: 3c; O: 3c). 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 A5B6C2_hP13_157_2ac_2c_b-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.