Crystal Lab › Prototype structures › Tetragonal
Ba₃Ir₄Ge₁₆
Tetragonal · space group I4/mmm (No. 139) · Pearson tI46
Symmetry elements and Wyckoff positions (interactive)
Ba₃Ir₄Ge₁₆ in I4/mmm
SettingUnit cell
- Lattice constants
- a = 6.544 Å, b = 6.544 Å, c = 22.283 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 954.3 ų
- Atoms in the conventional cell
- 46 (Ba 6, Ge 32, Ir 8)
- Formula units Z
- 2
- Pearson symbol
- tI46 — tetragonal, body-centred lattice, 46 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ba2 | Ba | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| Ge3 | Ge | 4e | 4 | 0.0000 | 0.0000 | 0.1973 |
| Ge4 | Ge | 4e | 4 | 0.0000 | 0.0000 | 0.3098 |
| Ir7 | Ir | 8g | 8 | 0.0000 | 0.5000 | 0.0897 |
| Ge5 | Ge | 8j | 8 | 0.2300 | 0.5000 | 0.0000 |
| Ge6 | Ge | 16m | 16 | 0.2424 | 0.2424 | 0.1291 |
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 46 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
A3B16C4_tI46_139_ad_2ejm_g2-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI46, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Ba: 4d; Ge: 4e; Ge: 4e; Ir: 8g; Ge: 8j; Ge: 16m). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ba₃Rh₄Ge₁₆ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B16C4_tI46_139_ad_2ejm_g2-001 (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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