Crystal Lab › Prototype structures › Orthorhombic
β-Li₃PS₄
Orthorhombic · space group Pnma (No. 62) · Pearson oP36
Symmetry elements and Wyckoff positions (interactive)
β-Li₃PS₄ in Pnma
SettingUnit cell
- Lattice constants
- a = 12.819 Å, b = 8.220 Å, c = 6.124 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 645.2 ų
- Atoms in the conventional cell
- 36 (Li 16, P 4, S 16)
- Formula units Z
- 4
- Pearson symbol
- oP36 — orthorhombic, primitive lattice, 36 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 4c | 4 | 0.9990 | 0.2500 | 0.3890 |
| P3 | P | 4c | 4 | 0.0872 | 0.2500 | 0.6719 |
| S4 | S | 4c | 4 | 0.9346 | 0.2500 | 0.7574 |
| S5 | S | 4c | 4 | 0.1068 | 0.2500 | 0.3366 |
| Li6 | Li | 8d | 8 | 0.3562 | 0.0130 | 0.9390 |
| S7 | S | 8d | 8 | 0.1551 | 0.0458 | 0.7852 |
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 36 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
A4BC4_oP36_62_acd_c_2cd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP36, then the space-group number 62, then the Wyckoff letters occupied by each element in turn (Li: 4a; Li: 4c; P: 4c; S: 4c; S: 4c; Li: 8d; S: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-Li₃PS₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC4_oP36_62_acd_c_2cd-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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