Crystal Lab › Prototype structures › Trigonal
PtBi₂
Trigonal · space group P-3 (No. 147) · Pearson hP9
Symmetry elements and Wyckoff positions (interactive)
PtBi₂ in P-3
SettingUnit cell
- Lattice constants
- a = 6.570 Å, b = 6.570 Å, c = 6.160 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 230.3 ų
- Atoms in the conventional cell
- 9 (Pt 3, Bi 6)
- Formula units Z
- 3
- Pearson symbol
- hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pt2 | Pt | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Pt3 | Pt | 2d | 2 | 0.3333 | 0.6667 | 0.9200 |
| Bi1 | Bi | 6g | 6 | 0.0500 | 0.3650 | 0.2600 |
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 9 atoms drawn above are these sites multiplied by all 6 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
A2B_hP9_147_g_ad-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (Pt: 1a; Pt: 2d; Bi: 6g). 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 A2B_hP9_147_g_ad-002 (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.
← γ-AgZn (B_{b}) · Space group P-3 (7 prototypes) · All prototypes · Na₂BaNi(PO₄)₂ →