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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Cs1Cs1a10.00000.00000.0000
V2V1b10.00000.00000.5000
O3O2d20.33330.66670.1434
S4S2d20.33330.66670.3086
O5O6g60.70970.07040.6340

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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