Crystal Lab › Prototype structures › Monoclinic
Al₈Mo₃
Monoclinic · space group C12/m1 (No. 12) · Pearson mC22
Symmetry elements and Wyckoff positions (interactive)
Al₈Mo₃ in C12/m1
SettingUnit cell
- Lattice constants
- a = 9.218 Å, b = 3.642 Å, c = 14.871 Å; α = 90.00°, β = 138.29°, γ = 90.00°
- Cell volume
- 332.2 ų
- Atoms in the conventional cell
- 22 (Mo 6, Al 16)
- Formula units Z
- 2
- Pearson symbol
- mC22 — monoclinic, base-centred lattice, 22 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mo5 | Mo | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Al1 | Al | 4i | 4 | 0.4629 | 0.0000 | 0.2749 |
| Al2 | Al | 4i | 4 | 0.1834 | 0.0000 | 0.9114 |
| Al3 | Al | 4i | 4 | 0.9068 | 0.0000 | 0.5398 |
| Al4 | Al | 4i | 4 | 0.6400 | 0.0000 | 0.1790 |
| Mo6 | Mo | 4i | 4 | 0.7552 | 0.0000 | 0.6601 |
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 22 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
A8B3_mC22_12_4i_ai-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC22, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Mo: 2a; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Mo: 4i). 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 A8B3_mC22_12_4i_ai-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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