Crystal Lab › Prototype structures › Tetragonal
PPrS₄
Tetragonal · space group I41/acd (No. 142) · Pearson tI96
Symmetry elements and Wyckoff positions (interactive)
PPrS₄ in I41/acd
SettingUnit cell
- Lattice constants
- a = 10.914 Å, b = 10.914 Å, c = 19.361 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2306.2 ų
- Atoms in the conventional cell
- 96 (Pr 16, P 16, S 64)
- Formula units Z
- 16
- Pearson symbol
- tI96 — tetragonal, body-centred lattice, 96 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pr2 | Pr | 8a | 8 | 0.0000 | 0.2500 | 0.3750 |
| Pr3 | Pr | 8b | 8 | 0.0000 | 0.2500 | 0.1250 |
| P1 | P | 16e | 16 | 0.0375 | 0.0000 | 0.2500 |
| S4 | S | 32g | 32 | 0.7482 | 0.8197 | 0.4133 |
| S5 | S | 32g | 32 | 0.0923 | 0.1117 | 0.0025 |
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 96 atoms drawn above are these sites multiplied by all 32 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
ABC4_tI96_142_e_ab_2g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI96, then the space-group number 142, then the Wyckoff letters occupied by each element in turn (Pr: 8a; Pr: 8b; P: 16e; S: 32g; S: 32g). 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 ABC4_tI96_142_e_ab_2g-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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