Crystal Lab › Prototype structures › Tetragonal
β-BeO
Tetragonal · space group P42/mnm (No. 136) · Pearson tP8
Symmetry elements and Wyckoff positions (interactive)
β-BeO in P42/mnm
SettingUnit cell
- Lattice constants
- a = 4.750 Å, b = 4.750 Å, c = 2.740 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 61.8 ų
- Atoms in the conventional cell
- 8 (Be 4, O 4)
- Formula units Z
- 4
- Pearson symbol
- tP8 — tetragonal, primitive lattice, 8 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Be1 | Be | 4f | 4 | 0.8360 | 0.8360 | 0.0000 |
| O2 | O | 4g | 4 | 0.1900 | 0.8100 | 0.0000 |
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 8 atoms drawn above are these sites multiplied by all 16 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
AB_tP8_136_f_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP8, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (Be: 4f; O: 4g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
ZnO <!--beginning with an
Note: \beta-BeO.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_tP8_136_f_g-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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