Crystal Lab › Prototype structures › Trigonal
CsV(SO₄)₂: AB8C2D_hP12_147_a_dg_d_b-001
Trigonal · space group P-3 (No. 147) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
CsV(SO₄)₂: AB8C2D_hP12_147_a_dg_d_b-001 in P-3
SettingUnit cell
- Lattice constants
- a = 4.868 Å, b = 4.868 Å, c = 8.767 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 179.9 ų
- Atoms in the conventional cell
- 12 (Cs 1, V 1, O 8, S 2)
- Formula units Z
- 1
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cs1 | Cs | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| V2 | V | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| O3 | O | 2d | 2 | 0.3333 | 0.6667 | 0.1434 |
| S4 | S | 2d | 2 | 0.3333 | 0.6667 | 0.3086 |
| O5 | O | 6g | 6 | 0.7097 | 0.0704 | 0.6340 |
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 12 atoms drawn above are these sites multiplied by all 6 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
AB8C2D_hP12_147_a_dg_d_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (Cs: 1a; V: 1b; O: 2d; S: 2d; O: 6g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CsFe(MoO₄)₂, CsSb(PO₄)₂, RbFe(MoO₄)₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB8C2D_hP12_147_a_dg_d_b-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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