Crystal Lab › Prototype structures › Trigonal
Ni₁₃Ga₃Ge₆
Trigonal · space group P3121 (No. 152) · Pearson hP66
Symmetry elements and Wyckoff positions (interactive)
Ni₁₃Ga₃Ge₆ in P3121
SettingUnit cell
- Lattice constants
- a = 7.849 Å, b = 7.849 Å, c = 15.036 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 802.2 ų
- Atoms in the conventional cell
- 66 (Ga 9, Ni 39, Ge 18)
- Formula units Z
- 3
- Pearson symbol
- hP66 — hexagonal / trigonal, primitive lattice, 66 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 3a | 3 | 0.4961 | 0.0000 | 0.3333 |
| Ni6 | Ni | 3a | 3 | 0.9990 | 0.0000 | 0.3333 |
| Ni7 | Ni | 3b | 3 | 0.0043 | 0.0000 | 0.8333 |
| Ni8 | Ni | 3b | 3 | 0.4941 | 0.0000 | 0.8333 |
| Ga2 | Ga | 6c | 6 | 0.3093 | 0.1926 | 0.4206 |
| Ge3 | Ge | 6c | 6 | 0.6162 | 0.3069 | 0.5782 |
| Ge4 | Ge | 6c | 6 | 0.3390 | 0.1703 | 0.7514 |
| Ge5 | Ge | 6c | 6 | 0.3111 | 0.1178 | 0.0894 |
| Ni10 | Ni | 6c | 6 | 0.5010 | 0.0011 | 0.6659 |
| Ni11 | Ni | 6c | 6 | 0.6783 | 0.3390 | 0.7456 |
| Ni12 | Ni | 6c | 6 | 0.3382 | 0.1775 | 0.9259 |
| Ni13 | Ni | 6c | 6 | 0.3381 | 0.1615 | 0.2526 |
| Ni9 | Ni | 6c | 6 | 0.5034 | 0.9977 | 0.4970 |
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 66 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
A3B6C13_hP66_152_ac_3c_a2b5c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP66, then the space-group number 152, then the Wyckoff letters occupied by each element in turn (Ga: 3a; Ni: 3a; Ni: 3b; Ni: 3b; Ga: 6c; Ge: 6c; Ge: 6c; Ge: 6c; Ni: 6c; Ni: 6c; Ni: 6c; Ni: 6c; Ni: 6c). 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 A3B6C13_hP66_152_ac_3c_a2b5c-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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