Skip to content

Crystal Lab › Prototype structures › Tetragonal

KCu₄S₃

Tetragonal · space group P4/mmm (No. 123) · Pearson tP8

Symmetry elements and Wyckoff positions (interactive)

KCu₄S₃ in P4/mmm

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

Unit cell

Lattice constants
a = 3.899 Å, b = 3.899 Å, c = 9.262 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
140.8 ų
Atoms in the conventional cell
8 (K 1, S 3, Cu 4)
Formula units Z
1
Pearson symbol
tP8 — tetragonal, primitive lattice, 8 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
K2K1a10.00000.00000.0000
S3S1b10.00000.00000.5000
S4S2h20.50000.50000.7944
Cu1Cu4i40.00000.50000.6603

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 8 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

A4BC3_tP8_123_i_a_bh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP8, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (K: 1a; S: 1b; S: 2h; Cu: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CsCu₄S₃, CsCu₄Se₃, KCu₄Se₃, RbCu₄S₃, RbCu₄Se₃, TlCu₄S₃, TlCu₄Se₃ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC3_tP8_123_i_a_bh-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.

← K₂PtCl₄ (H1₅)  ·  Space group P4/mmm (31 prototypes)  ·  All prototypes  ·  CaRbFe₄As₄ (Superconducting) →