Crystal Lab › Prototype structures › Orthorhombic
Ta₃Ti₅ (BCC SQS-16)
Orthorhombic · space group Amm2 (No. 38) · Pearson oC32
Symmetry elements and Wyckoff positions (interactive)
Ta₃Ti₅ (BCC SQS-16) in Amm2
SettingUnit cell
- Lattice constants
- a = 6.542 Å, b = 9.252 Å, c = 9.252 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 560.0 ų
- Atoms in the conventional cell
- 32 (Ta 12, Ti 20)
- Formula units Z
- 4
- Pearson symbol
- oC32 — orthorhombic, base-centred lattice, 32 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ta2 | Ta | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ti6 | Ti | 2a | 2 | 0.0000 | 0.0000 | 0.5000 |
| Ta1 | Ta | 2b | 2 | 0.5000 | 0.0000 | 0.5000 |
| Ti5 | Ti | 2b | 2 | 0.5000 | 0.0000 | 0.0000 |
| Ta3 | Ta | 4c | 4 | 0.7500 | 0.0000 | 0.7500 |
| Ti7 | Ti | 4c | 4 | 0.7500 | 0.0000 | 0.2500 |
| Ta4 | Ta | 4d | 4 | 0.0000 | 0.7500 | 0.2500 |
| Ti8 | Ti | 4e | 4 | 0.5000 | 0.7500 | 0.2500 |
| Ti9 | Ti | 8f | 8 | 0.7500 | 0.7500 | 0.0000 |
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 32 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
A3B5_oC32_38_abcd_abcef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC32, then the space-group number 38, then the Wyckoff letters occupied by each element in turn (Ta: 2a; Ti: 2a; Ta: 2b; Ti: 2b; Ta: 4c; Ti: 4c; Ta: 4d; Ti: 4e; Ti: 8f). 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 A3B5_oC32_38_abcd_abcef-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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