Crystal Lab › Prototype structures › Monoclinic
Al₁₃Fe₄
Monoclinic · space group C12/m1 (No. 12) · Pearson mC102
Symmetry elements and Wyckoff positions (interactive)
Al₁₃Fe₄ in C12/m1
SettingUnit cell
- Lattice constants
- a = 15.489 Å, b = 8.083 Å, c = 12.476 Å; α = 90.00°, β = 107.72°, γ = 90.00°
- Cell volume
- 1487.9 ų
- Atoms in the conventional cell
- 102 (Al 78, Fe 24)
- Formula units Z
- 6
- Pearson symbol
- mC102 — monoclinic, base-centred lattice, 102 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Al2 | Al | 4h | 4 | 0.0000 | 0.7440 | 0.5000 |
| Al10 | Al | 4i | 4 | 0.4140 | 0.0000 | 0.7190 |
| Al3 | Al | 4i | 4 | 0.4360 | 0.0000 | 0.3270 |
| Al4 | Al | 4i | 4 | 0.1780 | 0.0000 | 0.2230 |
| Al5 | Al | 4i | 4 | 0.2650 | 0.0000 | 0.9610 |
| Al6 | Al | 4i | 4 | 0.4190 | 0.0000 | 0.9180 |
| Al7 | Al | 4i | 4 | 0.2690 | 0.0000 | 0.5280 |
| Al8 | Al | 4i | 4 | 0.0200 | 0.0000 | 0.6730 |
| Al9 | Al | 4i | 4 | 0.1900 | 0.0000 | 0.7310 |
| Fe16 | Fe | 4i | 4 | 0.4140 | 0.0000 | 0.1170 |
| Fe17 | Fe | 4i | 4 | 0.0990 | 0.0000 | 0.8760 |
| Fe18 | Fe | 4i | 4 | 0.4100 | 0.0000 | 0.5110 |
| Fe19 | Fe | 4i | 4 | 0.1000 | 0.0000 | 0.5150 |
| Al11 | Al | 8j | 8 | 0.8120 | 0.7160 | 0.3890 |
| Al12 | Al | 8j | 8 | 0.6270 | 0.7110 | 0.3930 |
| Al13 | Al | 8j | 8 | 0.8240 | 0.7160 | 0.1660 |
| Al14 | Al | 8j | 8 | 0.5050 | 0.7830 | 0.1710 |
| Al15 | Al | 8j | 8 | 0.6340 | 0.7230 | 0.0210 |
| Fe20 | Fe | 8j | 8 | 0.6820 | 0.7850 | 0.2230 |
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 8 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
A13B4_mC102_12_ah8i5j_4ij-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC102, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 4h; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Fe: 4i; Fe: 4i; Fe: 4i; Fe: 4i; Al: 8j; Al: 8j; Al: 8j; Al: 8j; Al: 8j; Fe: 8j). 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 A13B4_mC102_12_ah8i5j_4ij-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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