Crystal Lab › Prototype structures › Tetragonal
NaS₂
Tetragonal · space group I-42d (No. 122) · Pearson tI48
Symmetry elements and Wyckoff positions (interactive)
NaS₂ in I-42d
SettingUnit cell
- Lattice constants
- a = 9.597 Å, b = 9.597 Å, c = 11.789 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1085.6 ų
- Atoms in the conventional cell
- 48 (Na 16, S 32)
- Formula units Z
- 16
- Pearson symbol
- tI48 — tetragonal, body-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 8c | 8 | 0.0000 | 0.0000 | 0.1695 |
| Na2 | Na | 8d | 8 | 0.2765 | 0.2500 | 0.1250 |
| S3 | S | 16e | 16 | 0.0337 | 0.2495 | 0.2964 |
| S4 | S | 16e | 16 | 0.6469 | 0.6160 | 0.8996 |
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 48 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
AB2_tI48_122_cd_2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI48, then the space-group number 122, then the Wyckoff letters occupied by each element in turn (Na: 8c; Na: 8d; S: 16e; S: 16e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_tI48_122_cd_2e-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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