Crystal Lab › Prototype structures › Monoclinic
α-BiI
Monoclinic · space group C12/m1 (No. 12) · Pearson mC32
Symmetry elements and Wyckoff positions (interactive)
α-BiI in C12/m1
SettingUnit cell
- Lattice constants
- a = 14.245 Å, b = 4.428 Å, c = 25.120 Å; α = 90.00°, β = 127.45°, γ = 90.00°
- Cell volume
- 1257.8 ų
- Atoms in the conventional cell
- 32 (Bi 16, I 16)
- Formula units Z
- 16
- Pearson symbol
- mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Bi1 | Bi | 4i | 4 | 0.3076 | 0.0000 | 0.2541 |
| Bi2 | Bi | 4i | 4 | 0.9390 | 0.0000 | 0.2413 |
| Bi3 | Bi | 4i | 4 | 0.1049 | 0.0000 | 0.1037 |
| Bi4 | Bi | 4i | 4 | 0.8610 | 0.0000 | 0.6086 |
| I5 | I | 4i | 4 | 0.6949 | 0.0000 | 0.0558 |
| I6 | I | 4i | 4 | 0.5107 | 0.0000 | 0.1501 |
| I7 | I | 4i | 4 | 0.5509 | 0.0000 | 0.4408 |
| I8 | I | 4i | 4 | 0.7558 | 0.0000 | 0.3626 |
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 32 atoms drawn above are these sites multiplied by all 8 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
AB_mC32_12_4i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Bi: 4i; Bi: 4i; Bi: 4i; Bi: 4i; I: 4i; I: 4i; I: 4i; I: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-BiI.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_mC32_12_4i_4i-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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