Crystal Lab › Prototype structures › Orthorhombic
Bertrandite (Be₄Si₂O₇(OH)₂, S4₆)
Orthorhombic · space group Cmc21 (No. 36) · Pearson oC60 · Strukturbericht S46 · mineral: bertrandite
Symmetry elements and Wyckoff positions (interactive)
Bertrandite (Be₄Si₂O₇(OH)₂, S4₆) in Cmc21
SettingUnit cell
- Lattice constants
- a = 8.713 Å, b = 15.268 Å, c = 4.568 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 607.8 ų
- Atoms in the conventional cell
- 60 (O 36, Be 16, Si 8)
- Formula units Z
- 4
- Pearson symbol
- oC60 — orthorhombic, base-centred lattice, 60 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O3 | O | 4a | 4 | 0.0000 | 0.5852 | 0.5951 |
| OH7 | O | 4a | 4 | 0.0000 | 0.7553 | 0.0886 |
| OH8 | O | 4a | 4 | 0.0000 | 0.0872 | 0.0993 |
| Be1 | Be | 8b | 8 | 0.6735 | 0.5527 | 0.1628 |
| Be2 | Be | 8b | 8 | 0.8264 | 0.7203 | 0.1517 |
| O4 | O | 8b | 8 | 0.7897 | 0.6244 | 0.0000 |
| O5 | O | 8b | 8 | 0.7101 | 0.5431 | 0.5074 |
| O6 | O | 8b | 8 | 0.7934 | 0.7093 | 0.5024 |
| Si9 | Si | 8b | 8 | 0.8254 | 0.6144 | 0.6523 |
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 60 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
A4B7C2D2_oC60_36_2b_a3b_2a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC60, then the space-group number 36, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4a; O: 4a; Be: 8b; Be: 8b; O: 8b; O: 8b; O: 8b; Si: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S4₆, Bertrandite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B7C2D2_oC60_36_2b_a3b_2a_b-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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