Crystal Lab › Prototype structures › Tetragonal
Intermediate Temperature Tetragonal TlS STl
Tetragonal · space group P41212 (No. 92) · Pearson tP64
Symmetry elements and Wyckoff positions (interactive)
Intermediate Temperature Tetragonal TlS in P41212
SettingUnit cell
- Lattice constants
- a = 7.803 Å, b = 7.803 Å, c = 29.550 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1799.2 ų
- Atoms in the conventional cell
- 64 (S 32, Tl 32)
- Formula units Z
- 32
- Pearson symbol
- tP64 — tetragonal, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S1 | S | 4a | 4 | 0.6410 | 0.6410 | 0.0000 |
| S2 | S | 4a | 4 | 0.1120 | 0.1120 | 0.0000 |
| S3 | S | 8b | 8 | 0.1220 | 0.6370 | 0.0058 |
| S4 | S | 8b | 8 | 0.3770 | 0.3320 | 0.1011 |
| S5 | S | 8b | 8 | 0.8710 | 0.3200 | 0.1006 |
| Tl6 | Tl | 8b | 8 | 0.6217 | 0.3699 | 0.4760 |
| Tl7 | Tl | 8b | 8 | 0.1273 | 0.3735 | 0.0518 |
| Tl8 | Tl | 8b | 8 | 0.8708 | 0.9014 | 0.0665 |
| Tl9 | Tl | 8b | 8 | 0.3774 | 0.9021 | 0.0648 |
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 64 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
AB_tP64_92_2a3b_4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP64, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (S: 4a; S: 4a; S: 8b; S: 8b; S: 8b; Tl: 8b; Tl: 8b; Tl: 8b; Tl: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Tetragonal TlS (IT).
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_tP64_92_2a3b_4b-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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