Crystal Lab › Prototype structures › Tetragonal
H₂S III
Tetragonal · space group P42 (No. 77) · Pearson tP48
Symmetry elements and Wyckoff positions (interactive)
H₂S III in P42
SettingUnit cell
- Lattice constants
- a = 13.470 Å, b = 13.470 Å, c = 4.100 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 743.9 ų
- Atoms in the conventional cell
- 48 (H 32, S 16)
- Formula units Z
- 16
- Pearson symbol
- tP48 — tetragonal, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| H1 | H | 4d | 4 | 0.1930 | 0.1400 | 0.1630 |
| H2 | H | 4d | 4 | 0.0910 | 0.0590 | 0.8370 |
| H3 | H | 4d | 4 | 0.6930 | 0.1400 | 0.1630 |
| H4 | H | 4d | 4 | 0.5910 | 0.0590 | 0.8370 |
| H5 | H | 4d | 4 | 0.1930 | 0.6400 | 0.1630 |
| H6 | H | 4d | 4 | 0.0910 | 0.5590 | 0.8370 |
| H7 | H | 4d | 4 | 0.6930 | 0.6400 | 0.8370 |
| H8 | H | 4d | 4 | 0.5910 | 0.5590 | 0.1630 |
| S9 | S | 4d | 4 | 0.1100 | 0.1400 | 0.0000 |
| S10 | S | 4d | 4 | 0.6100 | 0.1400 | 0.0000 |
| S11 | S | 4d | 4 | 0.1100 | 0.6400 | 0.0000 |
| S12 | S | 4d | 4 | 0.6100 | 0.6400 | 0.0000 |
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 4 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
A2B_tP48_77_8d_4d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP48, then the space-group number 77, then the Wyckoff letters occupied by each element in turn (H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; S: 4d; S: 4d; S: 4d; S: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: H₂S III.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tP48_77_8d_4d-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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