Crystal Lab › Prototype structures › Tetragonal
Bi₄Fe₅O₁₃F
Tetragonal · space group P42/mbc (No. 135) · Pearson tP108
Symmetry elements and Wyckoff positions (interactive)
Bi₄Fe₅O₁₃F in P42/mbc
SettingUnit cell
- Lattice constants
- a = 8.300 Å, b = 8.300 Å, c = 18.057 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1243.8 ų
- Atoms in the conventional cell
- 108 (Fe 20, O 56, Bi 16, F 16)
- Formula units Z
- 4
- Pearson symbol
- tP108 — tetragonal, primitive lattice, 108 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Fe3 | Fe | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| O6 | O | 8e | 8 | 0.0000 | 0.0000 | 0.0072 |
| Fe4 | Fe | 8f | 8 | 0.0000 | 0.5000 | 0.0800 |
| O7 | O | 8g | 8 | 0.3268 | 0.8268 | 0.2500 |
| Fe5 | Fe | 8h | 8 | 0.8515 | 0.8388 | 0.0000 |
| O8 | O | 8h | 8 | 0.1362 | 0.5900 | 0.0000 |
| Bi1 | Bi | 16i | 16 | 0.6706 | 0.6592 | 0.1570 |
| F2 | F | 16i | 16 | 0.0240 | 0.0000 | 0.2597 |
| O10 | O | 16i | 16 | 0.5823 | 0.8603 | 0.3331 |
| O9 | O | 16i | 16 | 0.2914 | 0.8760 | 0.5858 |
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 108 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
A4B4C5D14_tP108_135_i_i_dfh_egh2i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP108, then the space-group number 135, then the Wyckoff letters occupied by each element in turn (Fe: 4d; O: 8e; Fe: 8f; O: 8g; Fe: 8h; O: 8h; Bi: 16i; F: 16i; O: 16i; O: 16i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B4C5D14_tP108_135_i_i_dfh_egh2i-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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