Crystal Lab › Prototype structures › Tetragonal
Kesterite [Cu₂(Zn,Fe)SnS₄]
Tetragonal · space group I-4 (No. 82) · Pearson tI16 · mineral: kesterite
Symmetry elements and Wyckoff positions (interactive)
Kesterite [Cu₂(Zn,Fe)SnS₄] in I-4
SettingUnit cell
- Lattice constants
- a = 5.427 Å, b = 5.427 Å, c = 10.871 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 320.2 ų
- Atoms in the conventional cell
- 16 (Cu 4, Sn 2, Zn 2, S 8)
- Formula units Z
- 2
- Pearson symbol
- tI16 — tetragonal, body-centred lattice, 16 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Sn4 | Sn | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| Cu2 | Cu | 2c | 2 | 0.0000 | 0.5000 | 0.2500 |
| Zn5 | Zn | 2d | 2 | 0.0000 | 0.5000 | 0.7500 |
| S3 | S | 8g | 8 | 0.7560 | 0.7566 | 0.8722 |
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 8 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
A2B4CD_tI16_82_ac_g_b_d-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 82, then the Wyckoff letters occupied by each element in turn (Cu: 2a; Sn: 2b; Cu: 2c; Zn: 2d; S: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Cu₂ZnSnS₄ <!--beginning with an
Note: Kesterite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4CD_tI16_82_ac_g_b_d-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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