Crystal Lab › Prototype structures › Orthorhombic
α-Li₃PS₄
Orthorhombic · space group Pbcn (No. 60) · Pearson oP28
Symmetry elements and Wyckoff positions (interactive)
α-Li₃PS₄ in Pbcn
SettingUnit cell
- Lattice constants
- a = 8.613 Å, b = 9.021 Å, c = 8.426 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 654.7 ų
- Atoms in the conventional cell
- 28 (P 4, Li 8, S 16)
- Formula units Z
- 4
- Pearson symbol
- oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P1 | P | 4c | 4 | 0.0000 | 0.8273 | 0.2500 |
| Li2 | Li | 8d | 8 | 0.7080 | 0.6310 | 0.0690 |
| S3 | S | 8d | 8 | 0.3069 | 0.4533 | 0.2500 |
| S4 | S | 8d | 8 | 0.0042 | 0.2941 | 0.5498 |
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 28 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
A2BC4_oP28_60_d_c_2d-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP28, then the space-group number 60, then the Wyckoff letters occupied by each element in turn (P: 4c; Li: 8d; S: 8d; S: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-Li₃PS₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_oP28_60_d_c_2d-002 (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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