Crystal Lab › Prototype structures › Orthorhombic
CsV₈Sb₁₂
Orthorhombic · space group Fmmm (No. 69) · Pearson oF84
Symmetry elements and Wyckoff positions (interactive)
CsV₈Sb₁₂ in Fmmm
SettingUnit cell
- Lattice constants
- a = 36.227 Å, b = 5.556 Å, c = 9.523 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1916.8 ų
- Atoms in the conventional cell
- 84 (Cs 4, V 32, Sb 48)
- Formula units Z
- 4
- Pearson symbol
- oF84 — orthorhombic, face-centred lattice, 84 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cs1 | Cs | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| V6 | V | 8f | 8 | 0.2500 | 0.2500 | 0.2500 |
| Sb2 | Sb | 8g | 8 | 0.8625 | 0.0000 | 0.0000 |
| Sb3 | Sb | 8g | 8 | 0.2224 | 0.0000 | 0.0000 |
| V7 | V | 8g | 8 | 0.3735 | 0.0000 | 0.0000 |
| V8 | V | 16l | 16 | 0.8734 | 0.2500 | 0.2500 |
| Sb4 | Sb | 16n | 16 | 0.4345 | 0.0000 | 0.1672 |
| Sb5 | Sb | 16n | 16 | 0.3115 | 0.0000 | 0.8385 |
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 84 atoms drawn above are these sites multiplied by all 32 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
AB12C8_oF84_69_a_2g2n_fgl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oF84, then the space-group number 69, then the Wyckoff letters occupied by each element in turn (Cs: 4a; V: 8f; Sb: 8g; Sb: 8g; V: 8g; V: 16l; Sb: 16n; Sb: 16n). 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 AB12C8_oF84_69_a_2g2n_fgl-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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