Symmetry elements and Wyckoff positions (interactive)
Hf₁₀Ta₃S₃ in I23
SettingUnit cell
- Lattice constants
- a = 10.832 Å, b = 10.832 Å, c = 10.832 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1270.9 ų
- Atoms in the conventional cell
- 64 (Hf 44, Ta 8, S 12)
- Formula units Z
- 4
- Pearson symbol
- cI64 — cubic, body-centred lattice, 64 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Hf1 | Hf | 8c | 8 | 0.3399 | 0.3399 | 0.3399 |
| Ta5 | Ta | 8c | 8 | 0.0971 | 0.0971 | 0.0971 |
| Hf2 | Hf | 12d | 12 | 0.3368 | 0.0000 | 0.0000 |
| S4 | S | 12e | 12 | 0.6730 | 0.5000 | 0.0000 |
| Hf3 | Hf | 24f | 24 | 0.7964 | 0.7816 | 0.5671 |
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 24 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
A11B3C2_cI64_197_cdf_e_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI64, then the space-group number 197, then the Wyckoff letters occupied by each element in turn (Hf: 8c; Ta: 8c; Hf: 12d; S: 12e; Hf: 24f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Hf₉ZrTa₃S₃, Hf₁₀TeNb₂S₃ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A11B3C2_cI64_197_cdf_e_c-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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