Crystal Lab › Prototype structures › Orthorhombic
BPS₄
Orthorhombic · space group I222 (No. 23) · Pearson oI12
Symmetry elements and Wyckoff positions (interactive)
BPS₄ in I222
SettingUnit cell
- Lattice constants
- a = 5.250 Å, b = 9.040 Å, c = 5.600 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 265.8 ų
- Atoms in the conventional cell
- 12 (B 2, P 2, S 8)
- Formula units Z
- 2
- Pearson symbol
- oI12 — orthorhombic, body-centred lattice, 12 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| P2 | P | 2b | 2 | 0.5000 | 0.0000 | 0.0000 |
| S3 | S | 8k | 8 | 0.7900 | 0.8850 | 0.2000 |
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 12 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
ABC4_oI12_23_a_b_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oI12, then the space-group number 23, then the Wyckoff letters occupied by each element in turn (B: 2a; P: 2b; S: 8k). 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 ABC4_oI12_23_a_b_k-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.