Crystal Lab › Prototype structures › Tetragonal
Ba₂ZnGe₂S₆O
Tetragonal · space group P-421m (No. 113) · Pearson tP24
Symmetry elements and Wyckoff positions (interactive)
Ba₂ZnGe₂S₆O in P-421m
SettingUnit cell
- Lattice constants
- a = 9.636 Å, b = 9.636 Å, c = 6.451 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 598.9 ų
- Atoms in the conventional cell
- 24 (Zn 2, O 2, Ba 4, Ge 4, S 12)
- Formula units Z
- 2
- Pearson symbol
- tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zn1 | Zn | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 2c | 2 | 0.0000 | 0.5000 | 0.1830 |
| Ba3 | Ba | 4e | 4 | 0.1603 | 0.6603 | 0.5022 |
| Ge4 | Ge | 4e | 4 | 0.3749 | 0.8749 | 0.9304 |
| S5 | S | 4e | 4 | 0.3647 | 0.8647 | 0.2635 |
| S6 | S | 8f | 8 | 0.3200 | 0.4379 | 0.2282 |
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 24 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
A2B2CD6E_tP24_113_e_e_c_ef_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP24, then the space-group number 113, then the Wyckoff letters occupied by each element in turn (Zn: 2a; O: 2c; Ba: 4e; Ge: 4e; S: 4e; S: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
La₂ZnGa₂S₆O, Sr₂CdGe₂S₆O, Sr₂MnGe₂S₆O, Sr₂ZnGe₂S₆O <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2CD6E_tP24_113_e_e_c_ef_a-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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