Crystal Lab › Prototype structures › Trigonal
PtAl₄
Trigonal · space group P3c1 (No. 158) · Pearson hP102
Symmetry elements and Wyckoff positions (interactive)
PtAl₄ in P3c1
SettingUnit cell
- Lattice constants
- a = 13.077 Å, b = 13.077 Å, c = 9.634 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1426.8 ų
- Atoms in the conventional cell
- 102 (Al 84, Pt 18)
- Formula units Z
- 6
- Pearson symbol
- hP102 — hexagonal / trigonal, primitive lattice, 102 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2a | 2 | 0.0000 | 0.0000 | 0.9991 |
| Al2 | Al | 2b | 2 | 0.3333 | 0.6667 | 0.0366 |
| Al3 | Al | 2c | 2 | 0.6667 | 0.3333 | 0.4953 |
| Al10 | Al | 6d | 6 | 0.1486 | 0.1049 | 0.2508 |
| Al11 | Al | 6d | 6 | 0.2874 | 0.5164 | 0.2591 |
| Al12 | Al | 6d | 6 | 0.3262 | 0.3372 | 0.1197 |
| Al13 | Al | 6d | 6 | 0.3388 | 0.3260 | 0.3956 |
| Al14 | Al | 6d | 6 | 0.3852 | 0.1090 | 0.3519 |
| Al15 | Al | 6d | 6 | 0.4330 | 0.1921 | 0.0979 |
| Al16 | Al | 6d | 6 | 0.6239 | 0.1853 | 0.2650 |
| Al4 | Al | 6d | 6 | 0.0490 | 0.4530 | 0.1688 |
| Al5 | Al | 6d | 6 | 0.0593 | 0.2628 | 0.1575 |
| Al6 | Al | 6d | 6 | 0.0871 | 0.2331 | 0.0929 |
| Al7 | Al | 6d | 6 | 0.0985 | 0.2392 | 0.4129 |
| Al8 | Al | 6d | 6 | 0.0850 | 0.2727 | 0.3552 |
| Al9 | Al | 6d | 6 | 0.1046 | 0.5228 | 0.4241 |
| Pt17 | Pt | 6d | 6 | 0.2069 | 0.4422 | 0.0147 |
| Pt18 | Pt | 6d | 6 | 0.2258 | 0.1165 | 0.0036 |
| Pt19 | Pt | 6d | 6 | 0.5639 | 0.1088 | 0.0130 |
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 102 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
A14B3_hP102_158_abc13d_3d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP102, then the space-group number 158, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 2b; Al: 2c; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Pt: 6d; Pt: 6d; Pt: 6d). 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 A14B3_hP102_158_abc13d_3d-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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