Crystal Lab › Prototype structures › Tetragonal
High Temperature BaBi₄Ti₄O₁₅ m = 4 Aurivillius BaBi₄O₁₅Ti₄
Tetragonal · space group I4/mmm (No. 139) · Pearson tI48
Symmetry elements and Wyckoff positions (interactive)
High Temperature BaBi₄Ti₄O₁₅ m = 4 Aurivillius in I4/mmm
SettingUnit cell
- Lattice constants
- a = 3.894 Å, b = 3.894 Å, c = 42.291 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 641.1 ų
- Atoms in the conventional cell
- 48 (Ba 2, O 30, Bi 8, Ti 8)
- Formula units Z
- 2
- Pearson symbol
- tI48 — tetragonal, body-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O4 | O | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| O5 | O | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| Bi2 | Bi | 4e | 4 | 0.0000 | 0.0000 | 0.1065 |
| Bi3 | Bi | 4e | 4 | 0.0000 | 0.0000 | 0.2208 |
| O6 | O | 4e | 4 | 0.0000 | 0.0000 | 0.4053 |
| O7 | O | 4e | 4 | 0.0000 | 0.0000 | 0.3047 |
| Ti10 | Ti | 4e | 4 | 0.0000 | 0.0000 | 0.4494 |
| Ti11 | Ti | 4e | 4 | 0.0000 | 0.0000 | 0.3465 |
| O8 | O | 8g | 8 | 0.0000 | 0.5000 | 0.0495 |
| O9 | O | 8g | 8 | 0.0000 | 0.5000 | 0.1437 |
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 48 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
AB4C15D4_tI48_139_a_2e_bd2e2g_2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI48, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2b; O: 4d; Bi: 4e; Bi: 4e; O: 4e; O: 4e; Ti: 4e; Ti: 4e; O: 8g; O: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
PbBi₄Ti₄O₁₅, Bi₅Ti₃GaO₁₅ <!--beginning with an
Note: HT m=4 Aurivillius.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C15D4_tI48_139_a_2e_bd2e2g_2e-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.
← AuCsCl₃ (K7₆) · Space group I4/mmm (51 prototypes) · All prototypes · CePt₂In₇ →