Crystal Lab › Prototype structures › Tetragonal
Ba₂Ti₂Fe₂As₄O
Tetragonal · space group I4/mmm (No. 139) · Pearson tI22
Symmetry elements and Wyckoff positions (interactive)
Ba₂Ti₂Fe₂As₄O in I4/mmm
SettingUnit cell
- Lattice constants
- a = 4.028 Å, b = 4.028 Å, c = 27.344 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 443.6 ų
- Atoms in the conventional cell
- 22 (O 2, Ti 4, Fe 4, As 8, Ba 4)
- Formula units Z
- 2
- Pearson symbol
- tI22 — tetragonal, body-centred lattice, 22 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O5 | O | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ti6 | Ti | 4c | 4 | 0.0000 | 0.5000 | 0.0000 |
| Fe4 | Fe | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| As1 | As | 4e | 4 | 0.0000 | 0.0000 | 0.2996 |
| As2 | As | 4e | 4 | 0.0000 | 0.0000 | 0.5645 |
| Ba3 | Ba | 4e | 4 | 0.0000 | 0.0000 | 0.1321 |
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 22 atoms drawn above are these sites multiplied by all 32 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
A4B2C2DE2_tI22_139_2e_e_d_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI22, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (O: 2a; Ti: 4c; Fe: 4d; As: 4e; As: 4e; Ba: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C2DE2_tI22_139_2e_e_d_a_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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