Crystal Lab › Prototype structures › Trigonal
Trigonal (h') Al₅Mo
Trigonal · space group P3 (No. 143) · Pearson hP60
Symmetry elements and Wyckoff positions (interactive)
Trigonal (h') Al₅Mo in P3
SettingUnit cell
- Lattice constants
- a = 4.933 Å, b = 4.933 Å, c = 43.980 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 926.8 ų
- Atoms in the conventional cell
- 60 (Al 50, Mo 10)
- Formula units Z
- 10
- Pearson symbol
- hP60 — hexagonal / trigonal, primitive lattice, 60 atoms per conventional cell
- Symmetry operations
- 3 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.0100 |
| Al2 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.1000 |
| Al3 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.2000 |
| Al4 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.3000 |
| Al5 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.5000 |
| Al6 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.7000 |
| Al7 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.8000 |
| Mo31 | Mo | 1a | 1 | 0.0000 | 0.0000 | 0.4000 |
| Mo32 | Mo | 1a | 1 | 0.0000 | 0.0000 | 0.6000 |
| Mo33 | Mo | 1a | 1 | 0.0000 | 0.0000 | 0.9000 |
| Al10 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.4000 |
| Al11 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.5000 |
| Al12 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.6000 |
| Al13 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.7000 |
| Al14 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.9000 |
| Al8 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.0000 |
| Al9 | Al | 1b | 1 | 0.3333 | 0.6667 | 0.2000 |
| Mo34 | Mo | 1b | 1 | 0.3333 | 0.6667 | 0.1000 |
| Mo35 | Mo | 1b | 1 | 0.3333 | 0.6667 | 0.3000 |
| Mo36 | Mo | 1b | 1 | 0.3333 | 0.6667 | 0.8000 |
| Al15 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.1000 |
| Al16 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.3000 |
| Al17 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.4000 |
| Al18 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.6000 |
| Al19 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.8000 |
| Al20 | Al | 1c | 1 | 0.6667 | 0.3333 | 0.9000 |
| Mo37 | Mo | 1c | 1 | 0.6667 | 0.3333 | 0.0000 |
| Mo38 | Mo | 1c | 1 | 0.6667 | 0.3333 | 0.2000 |
| Mo39 | Mo | 1c | 1 | 0.6667 | 0.3333 | 0.5000 |
| Mo40 | Mo | 1c | 1 | 0.6667 | 0.3333 | 0.7000 |
| Al21 | Al | 3d | 3 | 0.6667 | 0.6667 | 0.0500 |
| Al22 | Al | 3d | 3 | 0.3333 | 0.3333 | 0.1500 |
| Al23 | Al | 3d | 3 | 0.6667 | 0.6667 | 0.2500 |
| Al24 | Al | 3d | 3 | 0.3333 | 0.3333 | 0.3500 |
| Al25 | Al | 3d | 3 | 0.6667 | 0.6667 | 0.4500 |
| Al26 | Al | 3d | 3 | 0.3333 | 0.3333 | 0.5500 |
| Al27 | Al | 3d | 3 | 0.6667 | 0.6667 | 0.6500 |
| Al28 | Al | 3d | 3 | 0.3333 | 0.3333 | 0.7500 |
| Al29 | Al | 3d | 3 | 0.6667 | 0.6667 | 0.8500 |
| Al30 | Al | 3d | 3 | 0.3333 | 0.3333 | 0.9500 |
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 60 atoms drawn above are these sites multiplied by all 3 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
A5B_hP60_143_7a7b6c10d_3a3b4c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP60, then the space-group number 143, then the Wyckoff letters occupied by each element in turn (Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Mo: 1a; Mo: 1a; Mo: 1a; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Mo: 1b; Mo: 1b; Mo: 1b; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Mo: 1c; Mo: 1c; Mo: 1c; Mo: 1c; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Trigonal (h').
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B_hP60_143_7a7b6c10d_3a3b4c-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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