Crystal Lab › Prototype structures › Monoclinic
β-K₂Bi₈Se₁₃ Bi₈K₂Se₁₃
Monoclinic · space group P121/m1 (No. 11) · Pearson mP46
Symmetry elements and Wyckoff positions (interactive)
β-K₂Bi₈Se₁₃ in P121/m1
SettingUnit cell
- Lattice constants
- a = 17.492 Å, b = 4.205 Å, c = 18.461 Å; α = 90.00°, β = 90.49°, γ = 90.00°
- Cell volume
- 1357.8 ų
- Atoms in the conventional cell
- 46 (Bi 16, K 4, Se 26)
- Formula units Z
- 2
- Pearson symbol
- mP46 — monoclinic, primitive lattice, 46 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Bi1 | Bi | 2e | 2 | 0.0808 | 0.2500 | 0.9215 |
| Bi2 | Bi | 2e | 2 | 0.8271 | 0.2500 | 0.8761 |
| Bi3 | Bi | 2e | 2 | 0.3273 | 0.2500 | 0.9816 |
| Bi4 | Bi | 2e | 2 | 0.1062 | 0.2500 | 0.5239 |
| Bi5 | Bi | 2e | 2 | 0.6954 | 0.2500 | 0.4509 |
| Bi6 | Bi | 2e | 2 | 0.0145 | 0.2500 | 0.2524 |
| Bi7 | Bi | 2e | 2 | 0.5061 | 0.2500 | 0.6118 |
| Bi8 | Bi | 2e | 2 | 0.2936 | 0.2500 | 0.3281 |
| K9 | K | 2e | 2 | 0.7323 | 0.2500 | 0.2102 |
| K10 | K | 2e | 2 | 0.4900 | 0.2500 | 0.1560 |
| Se11 | Se | 2e | 2 | 0.9829 | 0.2500 | 0.4039 |
| Se12 | Se | 2e | 2 | 0.1019 | 0.2500 | 0.7736 |
| Se13 | Se | 2e | 2 | 0.8058 | 0.2500 | 0.0596 |
| Se14 | Se | 2e | 2 | 0.6115 | 0.2500 | 0.7227 |
| Se15 | Se | 2e | 2 | 0.8098 | 0.2500 | 0.5582 |
| Se16 | Se | 2e | 2 | 0.2291 | 0.2500 | 0.6289 |
| Se17 | Se | 2e | 2 | 0.0430 | 0.2500 | 0.0924 |
| Se18 | Se | 2e | 2 | 0.8666 | 0.2500 | 0.7340 |
| Se19 | Se | 2e | 2 | 0.3664 | 0.2500 | 0.8361 |
| Se20 | Se | 2e | 2 | 0.5739 | 0.2500 | 0.9894 |
| Se21 | Se | 2e | 2 | 0.5764 | 0.2500 | 0.3224 |
| Se22 | Se | 2e | 2 | 0.2776 | 0.2500 | 0.1493 |
| Se23 | Se | 2e | 2 | 0.3923 | 0.2500 | 0.4642 |
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 46 atoms drawn above are these sites multiplied by all 4 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
A8B2C13_mP46_11_8e_2e_13e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP46, then the space-group number 11, then the Wyckoff letters occupied by each element in turn (Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; K: 2e; K: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Eu₄Bi₆Se₁₃, Sr₄Bi₆Se₁₃ <!--beginning with an
Note: \beta-phase.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B2C13_mP46_11_8e_2e_13e-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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