Crystal Lab › Prototype structures › Triclinic
α-K₂Bi₈Se₁₃ Bi₈K₂Se₁₃
Triclinic · space group P-1 (No. 2) · Pearson aP23
Symmetry elements and Wyckoff positions (interactive)
α-K₂Bi₈Se₁₃ in P-1
SettingUnit cell
- Lattice constants
- a = 13.788 Å, b = 12.096 Å, c = 4.166 Å; α = 89.98°, β = 98.64°, γ = 87.96°
- Cell volume
- 686.4 ų
- Atoms in the conventional cell
- 23 (Se 13, Bi 8, K 2)
- Formula units Z
- 1
- Pearson symbol
- aP23 — triclinic, primitive lattice, 23 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Se1 | Se | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Bi2 | Bi | 2i | 2 | 0.8809 | 0.8803 | 0.4408 |
| Bi3 | Bi | 2i | 2 | 0.3787 | 0.0464 | 0.1887 |
| Bi4 | Bi | 2i | 2 | 0.1510 | 0.7940 | 0.0758 |
| Bi5 | Bi | 2i | 2 | 0.5628 | 0.3671 | 0.2822 |
| K6 | K | 2i | 2 | 0.8310 | 0.5510 | 0.4150 |
| Se7 | Se | 2i | 2 | 0.2625 | 0.9267 | 0.6320 |
| Se8 | Se | 2i | 2 | 0.0370 | 0.6977 | 0.5160 |
| Se9 | Se | 2i | 2 | 0.7788 | 0.7707 | 0.8870 |
| Se10 | Se | 2i | 2 | 0.5094 | 0.8536 | 0.2540 |
| Se11 | Se | 2i | 2 | 0.2811 | 0.6169 | 0.1400 |
| Se12 | Se | 2i | 2 | 0.5837 | 0.5886 | 0.2930 |
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 23 atoms drawn above are these sites multiplied by all 2 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_aP23_2_4i_i_a6i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP23, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Se: 1a; Bi: 2i; Bi: 2i; Bi: 2i; Bi: 2i; K: 2i; Se: 2i; Se: 2i; Se: 2i; Se: 2i; Se: 2i; Se: 2i). 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 A8B2C13_aP23_2_4i_i_a6i-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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