Crystal Lab › Prototype structures › Tetragonal
Luzonite (Cu₃AsS₄)
Tetragonal · space group I-42m (No. 121) · Pearson tI16 · mineral: luzonite
Symmetry elements and Wyckoff positions (interactive)
Luzonite (Cu₃AsS₄) in I-42m
SettingUnit cell
- Lattice constants
- a = 5.330 Å, b = 5.330 Å, c = 10.570 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 300.3 ų
- Atoms in the conventional cell
- 16 (As 2, Cu 6, S 8)
- Formula units Z
- 2
- Pearson symbol
- tI16 — tetragonal, body-centred lattice, 16 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| As1 | As | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Cu2 | Cu | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| Cu3 | Cu | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| S4 | S | 8i | 8 | 0.2442 | 0.2442 | 0.1248 |
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 16 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
AB3C4_tI16_121_a_bd_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI16, then the space-group number 121, then the Wyckoff letters occupied by each element in turn (As: 2a; Cu: 2b; Cu: 4d; S: 8i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ag₃VO₄, Cu₃SbS₄, Cu₃SbSe₄, Cu₃AsSe₄, Cu₃FeS₄, Cu₃VO₄, Si₃NiP₄ <!--beginning with an
Note: Luzonite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C4_tI16_121_a_bd_i-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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