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Monoclinic BiMn₇O₁₂
Monoclinic · space group C1m1 (No. 8) · Pearson mC40
Symmetry elements and Wyckoff positions (interactive)
Monoclinic BiMn₇O₁₂ in C1m1
SettingUnit cell
- Lattice constants
- a = 10.530 Å, b = 7.384 Å, c = 7.535 Å; α = 90.00°, β = 134.45°, γ = 90.00°
- Cell volume
- 418.2 ų
- Atoms in the conventional cell
- 40 (Bi 2, Mn 14, O 24)
- Formula units Z
- 2
- Pearson symbol
- mC40 — monoclinic, base-centred lattice, 40 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Bi1 | Bi | 2a | 2 | 0.0173 | 0.0000 | 0.9889 |
| Mn2 | Mn | 2a | 2 | 0.4951 | 0.0000 | 0.4921 |
| Mn3 | Mn | 2a | 2 | 0.5019 | 0.0000 | 0.0022 |
| Mn4 | Mn | 2a | 2 | 0.9978 | 0.0000 | 0.5023 |
| O7 | O | 2a | 2 | 0.6827 | 0.0000 | 0.8461 |
| O8 | O | 2a | 2 | 0.6755 | 0.0000 | 0.4839 |
| O9 | O | 2a | 2 | 0.3031 | 0.0000 | 0.1289 |
| O10 | O | 2a | 2 | 0.3094 | 0.0000 | 0.4842 |
| Mn5 | Mn | 4b | 4 | 0.2540 | 0.7419 | 0.9998 |
| Mn6 | Mn | 4b | 4 | 0.2459 | 0.2493 | 0.4983 |
| O11 | O | 4b | 4 | 0.8282 | 0.3086 | 0.8372 |
| O12 | O | 4b | 4 | 0.4895 | 0.3259 | 0.6814 |
| O13 | O | 4b | 4 | 0.6765 | 0.1830 | 0.1598 |
| O14 | O | 4b | 4 | 0.0112 | 0.1800 | 0.3316 |
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 40 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
AB7C12_mC40_8_a_3a2b_4a4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC40, then the space-group number 8, then the Wyckoff letters occupied by each element in turn (Bi: 2a; Mn: 2a; Mn: 2a; Mn: 2a; O: 2a; O: 2a; O: 2a; O: 2a; Mn: 4b; Mn: 4b; O: 4b; O: 4b; O: 4b; O: 4b). 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 AB7C12_mC40_8_a_3a2b_4a4b-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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