Crystal Lab › Prototype structures › Hexagonal
α-Sm₃Ge₅ (High-temperature)
Hexagonal · space group P-62c (No. 190) · Pearson hP16
Symmetry elements and Wyckoff positions (interactive)
α-Sm₃Ge₅ (High-temperature) in P-62c
SettingUnit cell
- Lattice constants
- a = 6.924 Å, b = 6.924 Å, c = 8.491 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 352.5 ų
- Atoms in the conventional cell
- 16 (Ge 10, Sm 6)
- Formula units Z
- 2
- Pearson symbol
- hP16 — hexagonal / trigonal, primitive lattice, 16 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ge1 | Ge | 2b | 2 | 0.0000 | 0.0000 | 0.2500 |
| Ge2 | Ge | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| Sm4 | Sm | 6g | 6 | 0.3313 | 0.0000 | 0.0000 |
| Ge3 | Ge | 6h | 6 | 0.6682 | 0.0628 | 0.2500 |
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 16 atoms drawn above are these sites multiplied by all 12 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
A5B3_hP16_190_bch_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP16, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (Ge: 2b; Ge: 2c; Sm: 6g; Ge: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-Sm₃Ge₅.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B3_hP16_190_bch_g-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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