Crystal Lab › Prototype structures › Monoclinic
Hollandite (BaMn₂O₄)
Monoclinic · space group C12/m1 (No. 12) · Pearson mC26 · mineral: hollandite
Symmetry elements and Wyckoff positions (interactive)
Hollandite (BaMn₂O₄) in C12/m1
SettingUnit cell
- Lattice constants
- a = 14.110 Å, b = 2.866 Å, c = 10.006 Å; α = 90.00°, β = 136.32°, γ = 90.00°
- Cell volume
- 279.4 ų
- Atoms in the conventional cell
- 26 (Ba 2, Mn 8, O 16)
- Formula units Z
- 2
- Pearson symbol
- mC26 — monoclinic, base-centred lattice, 26 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Mn2 | Mn | 4i | 4 | 0.1531 | 0.0000 | 0.4890 |
| Mn3 | Mn | 4i | 4 | 0.6683 | 0.0000 | 0.8165 |
| O4 | O | 4i | 4 | 0.3505 | 0.0000 | 0.6449 |
| O5 | O | 4i | 4 | 0.6981 | 0.0000 | 0.0401 |
| O6 | O | 4i | 4 | 0.9569 | 0.0000 | 0.3021 |
| O7 | O | 4i | 4 | 0.6769 | 0.0000 | 0.6351 |
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 26 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
AB4C8_mC26_12_a_2i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC26, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Mn: 4i; Mn: 4i; O: 4i; O: 4i; O: 4i; O: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Hollandite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C8_mC26_12_a_2i_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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