Crystal Lab › Prototype structures › Tetragonal
ThBC
Tetragonal · space group P4122 (No. 91) · Pearson tP24
Symmetry elements and Wyckoff positions (interactive)
ThBC in P4122
SettingUnit cell
- Lattice constants
- a = 3.762 Å, b = 3.762 Å, c = 25.246 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 357.3 ų
- Atoms in the conventional cell
- 24 (B 8, C 8, Th 8)
- Formula units Z
- 8
- Pearson symbol
- tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 8d | 8 | 0.3030 | 0.2020 | 0.0190 |
| C2 | C | 8d | 8 | 0.2960 | 0.1890 | 0.0800 |
| Th3 | Th | 8d | 8 | 0.2975 | 0.1983 | 0.1795 |
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 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
ABC_tP24_91_d_d_d-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 91, then the Wyckoff letters occupied by each element in turn (B: 8d; C: 8d; Th: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Enantiomorph of sg \#95.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC_tP24_91_d_d_d-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.