Crystal system |
trigonal |
Space group number |
166 |
Hermann-Mauguin |
R-3m |
Hall |
-R 3 2" |
Point group |
-3m |
Normalized formula |
Zr2AlFe3 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
18 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
5.0120 |
b (Å) |
5.0120 |
c (Å) |
12.3730 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
269.168 |
Density (g/cm3) |
6.977 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-387.0 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Zr2AlFe3 |
2 entries found |
Compounds with the same elements: Zr-Al-Fe |
6 entries found |
Binary compounds in Zr-Al system |
No entries found |
Binary compounds in Zr-Fe system |
7 entries found |
Binary compounds in Al-Fe system |
10 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
10.90 μB/cell |
Averaged magnetic moment |
0.61 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.47 T (= 374.0 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic easy axis |
|
Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 6c | 0.000000 | 0.000000 | 0.121492 | -0.34 | . | . |
2 | Zr | 6c | 0.000000 | 0.000000 | 0.878508 | -0.34 | . | . |
3 | Zr | 6c | 0.666667 | 0.333333 | 0.454825 | -0.34 | . | . |
4 | Zr | 6c | 0.666667 | 0.333333 | 0.211841 | -0.34 | . | . |
5 | Zr | 6c | 0.333333 | 0.666667 | 0.788159 | -0.34 | . | . |
6 | Zr | 6c | 0.333333 | 0.666667 | 0.545175 | -0.34 | . | . |
7 | Al | 3b | 0.333333 | 0.666667 | 0.166667 | -0.04 | . | . |
8 | Al | 3b | 0.000000 | 0.000000 | 0.500000 | -0.04 | . | . |
9 | Al | 3b | 0.666667 | 0.333333 | 0.833333 | -0.04 | . | . |
10 | Fe | 9e | 0.000000 | 0.500000 | 0.000000 | 1.62 | . | . |
11 | Fe | 9e | 0.500000 | 0.500000 | 0.000000 | 1.62 | . | . |
12 | Fe | 9e | 0.500000 | 0.000000 | 0.000000 | 1.62 | . | . |
13 | Fe | 9e | 0.666667 | 0.833333 | 0.333333 | 1.62 | . | . |
14 | Fe | 9e | 0.166667 | 0.833333 | 0.333333 | 1.62 | . | . |
15 | Fe | 9e | 0.166667 | 0.333333 | 0.333333 | 1.62 | . | . |
16 | Fe | 9e | 0.333333 | 0.166667 | 0.666667 | 1.62 | . | . |
17 | Fe | 9e | 0.833333 | 0.166667 | 0.666667 | 1.62 | . | . |
18 | Fe | 9e | 0.833333 | 0.666667 | 0.666667 | 1.62 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 6c | 2 | Zr | 6c | 3.01 | . |
1 | Zr | 6c | 3 | Zr | 6c | 5.04 | . |
1 | Zr | 6c | 4 | Zr | 6c | 3.10 | . |
1 | Zr | 6c | 5 | Zr | 6c | 5.04 | . |
1 | Zr | 6c | 6 | Zr | 6c | 5.99 | . |
1 | Zr | 6c | 7 | Al | 3b | 2.95 | . |
1 | Zr | 6c | 8 | Al | 3b | 4.68 | . |
1 | Zr | 6c | 9 | Al | 3b | 4.59 | . |
1 | Zr | 6c | 10 | Fe | 9e | 2.92 | . |
1 | Zr | 6c | 11 | Fe | 9e | 2.92 | . |
1 | Zr | 6c | 12 | Fe | 9e | 2.92 | . |
1 | Zr | 6c | 13 | Fe | 9e | 2.99 | . |
1 | Zr | 6c | 14 | Fe | 9e | 2.99 | . |
1 | Zr | 6c | 15 | Fe | 9e | 2.99 | . |
1 | Zr | 6c | 16 | Fe | 9e | 5.81 | . |
1 | Zr | 6c | 17 | Fe | 9e | 5.81 | . |
1 | Zr | 6c | 18 | Fe | 9e | 5.81 | . |
2 | Zr | 6c | 3 | Zr | 6c | 5.99 | . |
2 | Zr | 6c | 4 | Zr | 6c | 5.04 | . |
2 | Zr | 6c | 5 | Zr | 6c | 3.10 | . |
2 | Zr | 6c | 6 | Zr | 6c | 5.04 | . |
2 | Zr | 6c | 7 | Al | 3b | 4.59 | . |
2 | Zr | 6c | 8 | Al | 3b | 4.68 | . |
2 | Zr | 6c | 9 | Al | 3b | 2.95 | . |
2 | Zr | 6c | 10 | Fe | 9e | 2.92 | . |
2 | Zr | 6c | 11 | Fe | 9e | 2.92 | . |
2 | Zr | 6c | 12 | Fe | 9e | 2.92 | . |
2 | Zr | 6c | 13 | Fe | 9e | 5.81 | . |
2 | Zr | 6c | 14 | Fe | 9e | 5.81 | . |
2 | Zr | 6c | 15 | Fe | 9e | 5.81 | . |
2 | Zr | 6c | 16 | Fe | 9e | 2.99 | . |
2 | Zr | 6c | 17 | Fe | 9e | 2.99 | . |
2 | Zr | 6c | 18 | Fe | 9e | 2.99 | . |
3 | Zr | 6c | 4 | Zr | 6c | 3.01 | . |
3 | Zr | 6c | 5 | Zr | 6c | 5.04 | . |
3 | Zr | 6c | 6 | Zr | 6c | 3.10 | . |
3 | Zr | 6c | 7 | Al | 3b | 4.59 | . |
3 | Zr | 6c | 8 | Al | 3b | 2.95 | . |
3 | Zr | 6c | 9 | Al | 3b | 4.68 | . |
3 | Zr | 6c | 10 | Fe | 9e | 5.81 | . |
3 | Zr | 6c | 11 | Fe | 9e | 5.81 | . |
3 | Zr | 6c | 12 | Fe | 9e | 5.81 | . |
3 | Zr | 6c | 13 | Fe | 9e | 2.92 | . |
3 | Zr | 6c | 14 | Fe | 9e | 2.92 | . |
3 | Zr | 6c | 15 | Fe | 9e | 2.92 | . |
3 | Zr | 6c | 16 | Fe | 9e | 2.99 | . |
3 | Zr | 6c | 17 | Fe | 9e | 2.99 | . |
3 | Zr | 6c | 18 | Fe | 9e | 2.99 | . |
4 | Zr | 6c | 5 | Zr | 6c | 5.99 | . |
4 | Zr | 6c | 6 | Zr | 6c | 5.04 | . |
4 | Zr | 6c | 7 | Al | 3b | 2.95 | . |
4 | Zr | 6c | 8 | Al | 3b | 4.59 | . |
4 | Zr | 6c | 9 | Al | 3b | 4.68 | . |
4 | Zr | 6c | 10 | Fe | 9e | 2.99 | . |
4 | Zr | 6c | 11 | Fe | 9e | 2.99 | . |
4 | Zr | 6c | 12 | Fe | 9e | 2.99 | . |
4 | Zr | 6c | 13 | Fe | 9e | 2.92 | . |
4 | Zr | 6c | 14 | Fe | 9e | 2.92 | . |
4 | Zr | 6c | 15 | Fe | 9e | 2.92 | . |
4 | Zr | 6c | 16 | Fe | 9e | 5.81 | . |
4 | Zr | 6c | 17 | Fe | 9e | 5.81 | . |
4 | Zr | 6c | 18 | Fe | 9e | 5.81 | . |
5 | Zr | 6c | 6 | Zr | 6c | 3.01 | . |
5 | Zr | 6c | 7 | Al | 3b | 4.68 | . |
5 | Zr | 6c | 8 | Al | 3b | 4.59 | . |
5 | Zr | 6c | 9 | Al | 3b | 2.95 | . |
5 | Zr | 6c | 10 | Fe | 9e | 2.99 | . |
5 | Zr | 6c | 11 | Fe | 9e | 2.99 | . |
5 | Zr | 6c | 12 | Fe | 9e | 2.99 | . |
5 | Zr | 6c | 13 | Fe | 9e | 5.81 | . |
5 | Zr | 6c | 14 | Fe | 9e | 5.81 | . |
5 | Zr | 6c | 15 | Fe | 9e | 5.81 | . |
5 | Zr | 6c | 16 | Fe | 9e | 2.92 | . |
5 | Zr | 6c | 17 | Fe | 9e | 2.92 | . |
5 | Zr | 6c | 18 | Fe | 9e | 2.92 | . |
6 | Zr | 6c | 7 | Al | 3b | 4.68 | . |
6 | Zr | 6c | 8 | Al | 3b | 2.95 | . |
6 | Zr | 6c | 9 | Al | 3b | 4.59 | . |
6 | Zr | 6c | 10 | Fe | 9e | 5.81 | . |
6 | Zr | 6c | 11 | Fe | 9e | 5.81 | . |
6 | Zr | 6c | 12 | Fe | 9e | 5.81 | . |
6 | Zr | 6c | 13 | Fe | 9e | 2.99 | . |
6 | Zr | 6c | 14 | Fe | 9e | 2.99 | . |
6 | Zr | 6c | 15 | Fe | 9e | 2.99 | . |
6 | Zr | 6c | 16 | Fe | 9e | 2.92 | . |
6 | Zr | 6c | 17 | Fe | 9e | 2.92 | . |
6 | Zr | 6c | 18 | Fe | 9e | 2.92 | . |
7 | Al | 3b | 8 | Al | 3b | 5.04 | . |
7 | Al | 3b | 9 | Al | 3b | 5.04 | . |
7 | Al | 3b | 10 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 11 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 12 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 13 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 14 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 15 | Fe | 9e | 2.52 | . |
7 | Al | 3b | 16 | Fe | 9e | 6.67 | . |
7 | Al | 3b | 17 | Fe | 9e | 6.67 | . |
7 | Al | 3b | 18 | Fe | 9e | 6.67 | . |
8 | Al | 3b | 9 | Al | 3b | 5.04 | . |
8 | Al | 3b | 10 | Fe | 9e | 6.67 | . |
8 | Al | 3b | 11 | Fe | 9e | 6.67 | . |
8 | Al | 3b | 12 | Fe | 9e | 6.67 | . |
8 | Al | 3b | 13 | Fe | 9e | 2.52 | . |
8 | Al | 3b | 14 | Fe | 9e | 2.52 | . |
8 | Al | 3b | 15 | Fe | 9e | 2.52 | . |
8 | Al | 3b | 16 | Fe | 9e | 2.52 | . |
8 | Al | 3b | 17 | Fe | 9e | 2.52 | . |
8 | Al | 3b | 18 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 10 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 11 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 12 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 13 | Fe | 9e | 6.67 | . |
9 | Al | 3b | 14 | Fe | 9e | 6.67 | . |
9 | Al | 3b | 15 | Fe | 9e | 6.67 | . |
9 | Al | 3b | 16 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 17 | Fe | 9e | 2.52 | . |
9 | Al | 3b | 18 | Fe | 9e | 2.52 | . |
10 | Fe | 9e | 11 | Fe | 9e | 2.51 | . |
10 | Fe | 9e | 12 | Fe | 9e | 2.51 | . |
10 | Fe | 9e | 13 | Fe | 9e | 5.04 | . |
10 | Fe | 9e | 14 | Fe | 9e | 4.37 | . |
10 | Fe | 9e | 15 | Fe | 9e | 4.37 | . |
10 | Fe | 9e | 16 | Fe | 9e | 5.04 | . |
10 | Fe | 9e | 17 | Fe | 9e | 4.37 | . |
10 | Fe | 9e | 18 | Fe | 9e | 4.37 | . |
11 | Fe | 9e | 12 | Fe | 9e | 2.51 | . |
11 | Fe | 9e | 13 | Fe | 9e | 4.37 | . |
11 | Fe | 9e | 14 | Fe | 9e | 5.04 | . |
11 | Fe | 9e | 15 | Fe | 9e | 4.37 | . |
11 | Fe | 9e | 16 | Fe | 9e | 4.37 | . |
11 | Fe | 9e | 17 | Fe | 9e | 5.04 | . |
11 | Fe | 9e | 18 | Fe | 9e | 4.37 | . |
12 | Fe | 9e | 13 | Fe | 9e | 4.37 | . |
12 | Fe | 9e | 14 | Fe | 9e | 4.37 | . |
12 | Fe | 9e | 15 | Fe | 9e | 5.04 | . |
12 | Fe | 9e | 16 | Fe | 9e | 4.37 | . |
12 | Fe | 9e | 17 | Fe | 9e | 4.37 | . |
12 | Fe | 9e | 18 | Fe | 9e | 5.04 | . |
13 | Fe | 9e | 14 | Fe | 9e | 2.51 | . |
13 | Fe | 9e | 15 | Fe | 9e | 2.51 | . |
13 | Fe | 9e | 16 | Fe | 9e | 5.04 | . |
13 | Fe | 9e | 17 | Fe | 9e | 4.37 | . |
13 | Fe | 9e | 18 | Fe | 9e | 4.37 | . |
14 | Fe | 9e | 15 | Fe | 9e | 2.51 | . |
14 | Fe | 9e | 16 | Fe | 9e | 4.37 | . |
14 | Fe | 9e | 17 | Fe | 9e | 5.04 | . |
14 | Fe | 9e | 18 | Fe | 9e | 4.37 | . |
15 | Fe | 9e | 16 | Fe | 9e | 4.37 | . |
15 | Fe | 9e | 17 | Fe | 9e | 4.37 | . |
15 | Fe | 9e | 18 | Fe | 9e | 5.04 | . |
16 | Fe | 9e | 17 | Fe | 9e | 2.51 | . |
16 | Fe | 9e | 18 | Fe | 9e | 2.51 | . |
17 | Fe | 9e | 18 | Fe | 9e | 2.51 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1215552 |