Crystal Lab › Prototype structures › Triclinic
TaTi (BCC SQS-16)
Triclinic · space group P-1 (No. 2) · Pearson aP16
Symmetry elements and Wyckoff positions (interactive)
TaTi (BCC SQS-16) in P-1
SettingUnit cell
- Lattice constants
- a = 5.424 Å, b = 5.666 Å, c = 9.676 Å; α = 72.98°, β = 87.08°, γ = 79.97°
- Cell volume
- 280.0 ų
- Atoms in the conventional cell
- 16 (Ta 8, Ti 8)
- Formula units Z
- 8
- Pearson symbol
- aP16 — triclinic, primitive lattice, 16 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ta1 | Ta | 2i | 2 | 0.3750 | 0.7500 | 0.3750 |
| Ta2 | Ta | 2i | 2 | 0.8750 | 0.0000 | 0.3750 |
| Ta3 | Ta | 2i | 2 | 0.3750 | 0.5000 | 0.8750 |
| Ta4 | Ta | 2i | 2 | 0.6250 | 0.7500 | 0.6250 |
| Ti5 | Ti | 2i | 2 | 0.8750 | 0.5000 | 0.3750 |
| Ti6 | Ti | 2i | 2 | 0.1250 | 0.7500 | 0.1250 |
| Ti7 | Ti | 2i | 2 | 0.8750 | 0.7500 | 0.8750 |
| Ti8 | Ti | 2i | 2 | 0.3750 | 0.0000 | 0.8750 |
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 16 atoms drawn above are these sites multiplied by all 2 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
AB_aP16_2_4i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP16, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Ta: 2i; Ta: 2i; Ta: 2i; Ta: 2i; Ti: 2i; Ti: 2i; Ti: 2i; Ti: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: BCC SQS-16.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_aP16_2_4i_4i-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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