Crystal Lab › Prototype structures › Monoclinic
Clinometaborite (β-HBO₂, monoclinic)
Monoclinic · space group P121/c1 (No. 14) · Pearson mP48 · mineral: clinometaborite
Symmetry elements and Wyckoff positions (interactive)
Clinometaborite (β-HBO₂, monoclinic) in P121/c1
SettingUnit cell
- Lattice constants
- a = 6.771 Å, b = 8.842 Å, c = 7.122 Å; α = 90.00°, β = 93.26°, γ = 90.00°
- Cell volume
- 425.7 ų
- Atoms in the conventional cell
- 48 (B 12, H 12, O 24)
- Formula units Z
- 12
- Pearson symbol
- mP48 — monoclinic, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 4e | 4 | 0.5220 | 0.7109 | 0.7382 |
| B2 | B | 4e | 4 | 0.8286 | 0.6617 | 0.5985 |
| B3 | B | 4e | 4 | 0.6705 | 0.4578 | 0.7676 |
| H4 | H | 4e | 4 | 0.8490 | 0.3800 | 0.9800 |
| H5 | H | 4e | 4 | 0.0510 | 0.6430 | 0.4530 |
| H6 | H | 4e | 4 | 0.6580 | 0.4480 | 0.0670 |
| O10 | O | 4e | 4 | 0.8176 | 0.5134 | 0.6443 |
| O11 | O | 4e | 4 | 0.9820 | 0.7162 | 0.5021 |
| O12 | O | 4e | 4 | 0.7763 | 0.4533 | 0.9667 |
| O7 | O | 4e | 4 | 0.3792 | 0.8061 | 0.7879 |
| O8 | O | 4e | 4 | 0.5055 | 0.5610 | 0.7840 |
| O9 | O | 4e | 4 | 0.6841 | 0.7621 | 0.6462 |
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 48 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
ABC2_mP48_14_3e_3e_6e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP48, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (B: 4e; B: 4e; B: 4e; H: 4e; H: 4e; H: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Clinometaborite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_mP48_14_3e_3e_6e-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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