Crystal Lab › Prototype structures › Tetragonal
Pinnoite (MgB₂O[OH]₆)
Tetragonal · space group P42 (No. 77) · Pearson tP64 · mineral: pinnoite
Symmetry elements and Wyckoff positions (interactive)
Pinnoite (MgB₂O[OH]₆) in P42
SettingUnit cell
- Lattice constants
- a = 7.614 Å, b = 7.614 Å, c = 8.190 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 474.8 ų
- Atoms in the conventional cell
- 64 (O 28, B 8, H 24, Mg 4)
- Formula units Z
- 4
- Pearson symbol
- tP64 — tetragonal, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O10 | O | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O11 | O | 2b | 2 | 0.5000 | 0.5000 | 0.4650 |
| B1 | B | 4d | 4 | 0.3833 | 0.3797 | 0.8830 |
| B2 | B | 4d | 4 | 0.1080 | 0.1183 | 0.5970 |
| H3 | H | 4d | 4 | 0.1380 | 0.4010 | 0.8090 |
| H4 | H | 4d | 4 | 0.3640 | 0.1070 | 0.6610 |
| H5 | H | 4d | 4 | 0.3080 | 0.1450 | 0.9420 |
| H6 | H | 4d | 4 | 0.1880 | 0.3670 | 0.5300 |
| H7 | H | 4d | 4 | 0.4720 | 0.3600 | 0.6400 |
| H8 | H | 4d | 4 | 0.0300 | 0.1500 | 0.8200 |
| Mg9 | Mg | 4d | 4 | 0.2483 | 0.2509 | 0.2380 |
| O12 | O | 4d | 4 | 0.2398 | 0.4812 | 0.8130 |
| O13 | O | 4d | 4 | 0.2684 | 0.0166 | 0.6490 |
| O14 | O | 4d | 4 | 0.3356 | 0.2423 | 0.9940 |
| O15 | O | 4d | 4 | 0.1594 | 0.2635 | 0.4770 |
| O16 | O | 4d | 4 | 0.4818 | 0.2881 | 0.7400 |
| O17 | O | 4d | 4 | 0.0192 | 0.1992 | 0.7330 |
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 64 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
A2B6CD7_tP64_77_2d_6d_d_ab6d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP64, then the space-group number 77, then the Wyckoff letters occupied by each element in turn (O: 2a; O: 2b; B: 4d; B: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; Mg: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Pinnoite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B6CD7_tP64_77_2d_6d_d_ab6d-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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