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Murataite [(Y,Na)₆(Zn,Fe)₅Ti₁₂O₂₉(O,F)₁₀F₄]
Cubic · space group F-43m (No. 216) · Pearson cF316 · mineral: murataite
Symmetry elements and Wyckoff positions (interactive)
Murataite [(Y,Na)₆(Zn,Fe)₅Ti₁₂O₂₉(O,F)₁₀F₄] in F-43m
SettingUnit cell
- Lattice constants
- a = 14.886 Å, b = 14.886 Å, c = 14.886 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 3298.6 ų
- Atoms in the conventional cell
- 316 (Zn 20, F 64, O 160, Y 24, Ti 48)
- Formula units Z
- 4
- Pearson symbol
- cF316 — cubic, face-centred lattice, 316 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zn10 | Zn | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| F1 | F | 16e | 16 | 0.5790 | 0.5790 | 0.5790 |
| O3 | O | 16e | 16 | 0.9262 | 0.9262 | 0.9262 |
| Zn11 | Zn | 16e | 16 | 0.6722 | 0.6722 | 0.6722 |
| Y9 | Y | 24f | 24 | 0.6812 | 0.0000 | 0.0000 |
| O4 | O | 24g | 24 | 0.7670 | 0.2500 | 0.2500 |
| O5 | O | 24g | 24 | 0.0150 | 0.2500 | 0.2500 |
| F2 | F | 48h | 48 | 0.8940 | 0.8940 | 0.4150 |
| O6 | O | 48h | 48 | 0.9271 | 0.9271 | 0.2024 |
| O7 | O | 48h | 48 | 0.1038 | 0.1038 | 0.7580 |
| Ti8 | Ti | 48h | 48 | 0.8371 | 0.8371 | 0.9913 |
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 316 atoms drawn above are these sites multiplied by all 96 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
A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF316, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Zn: 4a; F: 16e; O: 16e; Zn: 16e; Y: 24f; O: 24g; O: 24g; F: 48h; O: 48h; O: 48h; Ti: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Murataite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-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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