Crystal Lab › Prototype structures › Tetragonal
High Temperature Bi₅PbTi₃O₁₄Cl Bi₅ClO₁₄PbTi₃
Tetragonal · space group P4/mmm (No. 123) · Pearson tP24
Symmetry elements and Wyckoff positions (interactive)
High Temperature Bi₅PbTi₃O₁₄Cl in P4/mmm
SettingUnit cell
- Lattice constants
- a = 3.894 Å, b = 3.894 Å, c = 22.675 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 343.8 ų
- Atoms in the conventional cell
- 24 (Ti 3, Cl 1, O 14, Bi 6)
- Formula units Z
- 1
- Pearson symbol
- tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ti1 | Ti | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Cl2 | Cl | 1c | 1 | 0.5000 | 0.5000 | 0.0000 |
| O3 | O | 2e | 2 | 0.0000 | 0.5000 | 0.5000 |
| Bi4 | Bi | 2g | 2 | 0.0000 | 0.0000 | 0.9126 |
| O5 | O | 2g | 2 | 0.0000 | 0.0000 | 0.5851 |
| O6 | O | 2g | 2 | 0.0000 | 0.0000 | 0.7636 |
| Ti7 | Ti | 2g | 2 | 0.0000 | 0.0000 | 0.6851 |
| Bi8 | Bi | 2h | 2 | 0.5000 | 0.5000 | 0.5969 |
| Bi9 | Bi | 2h | 2 | 0.5000 | 0.5000 | 0.8008 |
| O10 | O | 4i | 4 | 0.0000 | 0.5000 | 0.6700 |
| O11 | O | 4i | 4 | 0.0000 | 0.5000 | 0.8620 |
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 24 atoms drawn above are these sites multiplied by all 16 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
A6BC14D3_tP24_123_g2h_c_e2g2i_bg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP24, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Ti: 1b; Cl: 1c; O: 2e; Bi: 2g; O: 2g; O: 2g; Ti: 2g; Bi: 2h; Bi: 2h; O: 4i; O: 4i). 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 A6BC14D3_tP24_123_g2h_c_e2g2i_bg-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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