Crystal Lab › Prototype structures › Trigonal
Bohdanowiczite (AgBiSe₂)
Trigonal · space group P-3m1 (No. 164) · Pearson hP12 · mineral: bohdanowiczite
Symmetry elements and Wyckoff positions (interactive)
Bohdanowiczite (AgBiSe₂) in P-3m1
SettingUnit cell
- Lattice constants
- a = 4.180 Å, b = 4.180 Å, c = 19.670 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 297.6 ų
- Atoms in the conventional cell
- 12 (Ag 3, Bi 3, Se 6)
- Formula units Z
- 3
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Bi3 | Bi | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Se5 | Se | 2c | 2 | 0.0000 | 0.0000 | 0.2480 |
| Ag2 | Ag | 2d | 2 | 0.3333 | 0.6667 | 0.6730 |
| Bi4 | Bi | 2d | 2 | 0.3333 | 0.6667 | 0.1630 |
| Se6 | Se | 2d | 2 | 0.3333 | 0.6667 | 0.9260 |
| Se7 | Se | 2d | 2 | 0.3333 | 0.6667 | 0.4060 |
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 12 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
ABC2_hP12_164_ad_bd_c2d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Ag: 1a; Bi: 1b; Se: 2c; Ag: 2d; Bi: 2d; Se: 2d; Se: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
AgBiS₂, AgBiTe₂ <!--beginning with an
Note: Bohdanowiczite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hP12_164_ad_bd_c2d-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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