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Crystal Lab › Prototype structures › Orthorhombic

KCuZrS₃

Orthorhombic · space group Cmcm (No. 63) · Pearson oC24

Symmetry elements and Wyckoff positions (interactive)

KCuZrS₃ in Cmcm

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

Unit cell

Lattice constants
a = 3.730 Å, b = 13.915 Å, c = 9.754 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
506.3 ų
Atoms in the conventional cell
24 (Zr 4, Cu 4, K 4, S 12)
Formula units Z
4
Pearson symbol
oC24 — orthorhombic, base-centred lattice, 24 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zr5Zr4a40.00000.00000.0000
Cu1Cu4c40.00000.46360.2500
K2K4c40.00000.74400.2500
S3S4c40.00000.06360.2500
S4S8f80.00000.37700.0507

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 24 atoms drawn above are these sites multiplied by all 16 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

ABC3D_oC24_63_c_c_cf_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC24, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (Zr: 4a; Cu: 4c; K: 4c; S: 4c; S: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaCuYSe₃, Ba_{0.5}CuZrSe₃, KCuZrSe₃, KCuZrTe₃, Sr_{0.5}CuZrSe₃ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3D_oC24_63_c_c_cf_a-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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