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Crystal Lab › Prototype structures › Trigonal

Nukundamite [(Cu_{1-x}Fe_{x})₄S₄]

Trigonal · space group P-3m1 (No. 164) · Pearson hP8 · mineral: nukundamite

Symmetry elements and Wyckoff positions (interactive)

Nukundamite [(Cu_{1-x}Fe_{x})₄S₄] in P-3m1

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

Unit cell

Lattice constants
a = 3.783 Å, b = 3.783 Å, c = 11.195 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
138.7 ų
Atoms in the conventional cell
8 (S 4, Cu 2, Fe 2)
Formula units Z
2
Pearson symbol
hP8 — hexagonal / trigonal, primitive lattice, 8 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S3S2c20.00001.00000.0921
Cu1Cu2d20.33330.66670.8453
Fe2Fe2d20.33330.66670.4210
S4S2d20.33330.66670.6391

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 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

ABC2_hP8_164_d_d_cd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP8, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (S: 2c; Cu: 2d; Fe: 2d; S: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Nukundamite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hP8_164_d_d_cd-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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