Crystal Lab › Prototype structures › Orthorhombic
Low Temperature BaBi₄Ti₄O₁₅ BaBi₄O₁₅Ti₄
Orthorhombic · space group Cmc21 (No. 36) · Pearson oC96
Symmetry elements and Wyckoff positions (interactive)
Low Temperature BaBi₄Ti₄O₁₅ in Cmc21
SettingUnit cell
- Lattice constants
- a = 41.865 Å, b = 5.457 Å, c = 5.471 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1249.7 ų
- Atoms in the conventional cell
- 96 (Ba 4, O 60, Bi 16, Ti 16)
- Formula units Z
- 4
- Pearson symbol
- oC96 — orthorhombic, base-centred lattice, 96 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 4a | 4 | 0.0000 | 0.7530 | 0.2500 |
| O4 | O | 4a | 4 | 0.0000 | 0.2910 | 0.3210 |
| Bi2 | Bi | 8b | 8 | 0.6065 | 0.2530 | 0.2740 |
| Bi3 | Bi | 8b | 8 | 0.7208 | 0.2510 | 0.2800 |
| O10 | O | 8b | 8 | 0.5435 | 0.5200 | 0.0360 |
| O11 | O | 8b | 8 | 0.6440 | 0.4910 | 0.0530 |
| O5 | O | 8b | 8 | 0.5495 | 0.9630 | 0.5910 |
| O6 | O | 8b | 8 | 0.9053 | 0.2310 | 0.3070 |
| O7 | O | 8b | 8 | 0.6437 | 0.0000 | 0.5450 |
| O8 | O | 8b | 8 | 0.8047 | 0.2610 | 0.2860 |
| O9 | O | 8b | 8 | 0.7499 | 0.0010 | 0.5370 |
| Ti12 | Ti | 8b | 8 | 0.9494 | 0.2560 | 0.2770 |
| Ti13 | Ti | 8b | 8 | 0.8465 | 0.2510 | 0.2960 |
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 96 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
AB4C15D4_oC96_36_a_2b_a7b_2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC96, then the space-group number 36, then the Wyckoff letters occupied by each element in turn (Ba: 4a; O: 4a; Bi: 8b; Bi: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; Ti: 8b; Ti: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: RT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C15D4_oC96_36_a_2b_a7b_2b-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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