Crystal Lab › Prototype structures › Orthorhombic
CsB₄O₆F
Orthorhombic · space group Pna21 (No. 33) · Pearson oP48
Symmetry elements and Wyckoff positions (interactive)
CsB₄O₆F in Pna21
SettingUnit cell
- Lattice constants
- a = 7.924 Å, b = 11.400 Å, c = 6.664 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 602.0 ų
- Atoms in the conventional cell
- 48 (B 16, Cs 4, F 4, O 24)
- Formula units Z
- 4
- Pearson symbol
- oP48 — orthorhombic, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 4a | 4 | 0.2971 | 0.5446 | 0.6555 |
| B2 | B | 4a | 4 | 0.2977 | 0.5006 | 0.0044 |
| B3 | B | 4a | 4 | 0.2304 | 0.2003 | 0.3942 |
| B4 | B | 4a | 4 | 0.2327 | 0.4189 | 0.3480 |
| Cs5 | Cs | 4a | 4 | 0.4958 | 0.2212 | 0.8520 |
| F6 | F | 4a | 4 | 0.0566 | 0.4371 | 0.3269 |
| O10 | O | 4a | 4 | 0.2626 | 0.3109 | 0.4526 |
| O11 | O | 4a | 4 | 0.3038 | 0.4165 | 0.1445 |
| O12 | O | 4a | 4 | 0.2784 | 0.6167 | 0.0497 |
| O7 | O | 4a | 4 | 0.3060 | 0.4658 | 0.8049 |
| O8 | O | 4a | 4 | 0.2888 | 0.6655 | 0.7010 |
| O9 | O | 4a | 4 | 0.3000 | 0.5194 | 0.4588 |
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 48 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
A4BCD6_oP48_33_4a_a_a_6a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP48, then the space-group number 33, then the Wyckoff letters occupied by each element in turn (B: 4a; B: 4a; B: 4a; B: 4a; Cs: 4a; F: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a). 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 A4BCD6_oP48_33_4a_a_a_6a-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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