Crystal Lab › Prototype structures › Tetragonal
Tetragonal Ba₃Zr₂S₇ Ba₃S₇Zr₂
Tetragonal · space group P42/mnm (No. 136) · Pearson tP48
Symmetry elements and Wyckoff positions (interactive)
Tetragonal Ba₃Zr₂S₇ in P42/mnm
SettingUnit cell
- Lattice constants
- a = 7.056 Å, b = 7.056 Å, c = 25.371 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1263.3 ų
- Atoms in the conventional cell
- 48 (S 28, Ba 12, Zr 8)
- Formula units Z
- 4
- Pearson symbol
- tP48 — tetragonal, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S1 | S | 4e | 4 | 0.0000 | 0.0000 | 0.4159 |
| S2 | S | 4e | 4 | 0.0000 | 0.0000 | 0.1089 |
| Ba3 | Ba | 4f | 4 | 0.7538 | 0.7538 | 0.0000 |
| S4 | S | 4g | 4 | 0.2141 | 0.7859 | 0.0000 |
| S5 | S | 8h | 8 | 0.0000 | 0.5000 | 0.4045 |
| Ba6 | Ba | 8j | 8 | 0.2605 | 0.2605 | 0.8185 |
| S7 | S | 8j | 8 | 0.2218 | 0.2218 | 0.3020 |
| Zr8 | Zr | 8j | 8 | 0.2503 | 0.2503 | 0.4002 |
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 16 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
A3B7C2_tP48_136_fj_2eghj_j-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 136, then the Wyckoff letters occupied by each element in turn (S: 4e; S: 4e; Ba: 4f; S: 4g; S: 8h; Ba: 8j; S: 8j; Zr: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: LT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B7C2_tP48_136_fj_2eghj_j-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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