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Crystal Lab › Prototype structures › Hexagonal

CsSO₃ (K1₂)

Hexagonal · space group P-62c (No. 190) · Pearson hP20 · Strukturbericht K12

Symmetry elements and Wyckoff positions (interactive)

CsSO₃ (K1₂) in P-62c

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

Unit cell

Lattice constants
a = 6.326 Å, b = 6.326 Å, c = 11.535 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
399.8 ų
Atoms in the conventional cell
20 (Cs 4, S 4, O 12)
Formula units Z
4
Pearson symbol
hP20 — hexagonal / trigonal, primitive lattice, 20 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cs1Cs2a20.00000.00000.0000
Cs2Cs2c20.33330.66670.2500
S4S4f40.33330.66670.6600
O3O12i120.44000.33330.1250

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 20 atoms drawn above are these sites multiplied by all 12 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

AB3C_hP20_190_ac_i_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP20, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (Cs: 2a; Cs: 2c; S: 4f; O: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: K1₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_hP20_190_ac_i_f-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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