Crystal Lab › Prototype structures › Trigonal
Trigonal Au₇P₁₀I Au₇IP₁₀
Trigonal · space group P-31m (No. 162) · Pearson hP18
Symmetry elements and Wyckoff positions (interactive)
Trigonal Au₇P₁₀I in P-31m
SettingUnit cell
- Lattice constants
- a = 6.180 Å, b = 6.180 Å, c = 11.122 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 367.9 ų
- Atoms in the conventional cell
- 18 (I 1, Au 7, P 10)
- Formula units Z
- 1
- Pearson symbol
- hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| I4 | I | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Au1 | Au | 2c | 2 | 0.3333 | 0.6667 | 0.0000 |
| Au2 | Au | 2e | 2 | 0.0000 | 0.0000 | 0.2760 |
| Au3 | Au | 3g | 3 | 0.5000 | 0.0000 | 0.5000 |
| P5 | P | 4h | 4 | 0.3333 | 0.6667 | 0.2087 |
| P6 | P | 6k | 6 | 0.3756 | 0.0000 | 0.6982 |
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 18 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
A7BC10_hP18_162_ceg_a_hk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 162, then the Wyckoff letters occupied by each element in turn (I: 1a; Au: 2c; Au: 2e; Au: 3g; P: 4h; P: 6k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Trigonal Au₇P₁₀I.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7BC10_hP18_162_ceg_a_hk-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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