Symmetry elements and Wyckoff positions (interactive)
NiTi₂ in Fd-3m
SettingUnit cell
- Lattice constants
- a = 11.278 Å, b = 11.278 Å, c = 11.278 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1434.5 ų
- Atoms in the conventional cell
- 96 (Ti 64, Ni 32)
- Formula units Z
- 32
- Pearson symbol
- cF96 — cubic, face-centred lattice, 96 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ti2 | Ti | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| Ni1 | Ni | 32e | 32 | 0.2150 | 0.2150 | 0.2150 |
| Ti3 | Ti | 48f | 48 | 0.4400 | 0.1250 | 0.1250 |
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 96 atoms drawn above are these sites multiplied by all 192 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
AB2_cF96_227_e_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF96, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Ti: 16c; Ni: 32e; Ti: 48f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CoHf₂, CoTi₂, CoZr₂, FeTi₂, FeZr₂, IrHf₂, IrSc₂, IrZr₂, MnHf₂, NbCr₂, NiSc₂, OsHf₂, PdSc₂, PtHf₂, RhHf₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_cF96_227_e_cf-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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