Crystal Lab › Prototype structures › Monoclinic
TaTi₃-I (BCC SQS-16)
Monoclinic · space group C1m1 (No. 8) · Pearson mC32
Symmetry elements and Wyckoff positions (interactive)
TaTi₃-I (BCC SQS-16) in C1m1
SettingUnit cell
- Lattice constants
- a = 13.878 Å, b = 4.626 Å, c = 9.252 Å; α = 90.00°, β = 109.47°, γ = 90.00°
- Cell volume
- 560.0 ų
- Atoms in the conventional cell
- 32 (Ta 8, Ti 24)
- Formula units Z
- 8
- Pearson symbol
- mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ta1 | Ta | 2a | 2 | 0.0000 | 0.0000 | 0.5000 |
| Ta2 | Ta | 2a | 2 | 0.5000 | 0.0000 | 0.2500 |
| Ta3 | Ta | 2a | 2 | 0.6250 | 0.0000 | 0.0625 |
| Ta4 | Ta | 2a | 2 | 0.8750 | 0.0000 | 0.1875 |
| Ti10 | Ti | 2a | 2 | 0.5000 | 0.0000 | 0.7500 |
| Ti11 | Ti | 2a | 2 | 0.3750 | 0.0000 | 0.4375 |
| Ti12 | Ti | 2a | 2 | 0.2500 | 0.0000 | 0.1250 |
| Ti13 | Ti | 2a | 2 | 0.7500 | 0.0000 | 0.8750 |
| Ti14 | Ti | 2a | 2 | 0.6250 | 0.0000 | 0.5625 |
| Ti15 | Ti | 2a | 2 | 0.8750 | 0.0000 | 0.6875 |
| Ti16 | Ti | 2a | 2 | 0.7500 | 0.0000 | 0.3750 |
| Ti5 | Ti | 2a | 2 | 0.1250 | 0.0000 | 0.8125 |
| Ti6 | Ti | 2a | 2 | 0.3750 | 0.0000 | 0.9375 |
| Ti7 | Ti | 2a | 2 | 0.2500 | 0.0000 | 0.6250 |
| Ti8 | Ti | 2a | 2 | 0.1250 | 0.0000 | 0.3125 |
| Ti9 | Ti | 2a | 2 | 0.0000 | 0.0000 | 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 4 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
AB3_mC32_8_4a_12a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 8, then the Wyckoff letters occupied by each element in turn (Ta: 2a; Ta: 2a; Ta: 2a; Ta: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a). 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 AB3_mC32_8_4a_12a-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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