Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Zr2CrFe3 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
4.9826 |
b (Å) |
4.9826 |
c (Å) |
8.0728 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
173.565 |
Density (g/cm3) |
7.692 |
DFT calculations (details) | |
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Formation energy (vs. elemental phases) |
-205.1 meV/atom |
Formation energy above hull |
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DFT calculations (details) | |
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Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
6.79 μB/cell |
Averaged magnetic moment |
0.57 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.46 T (= 366.1 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
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DFT calculations (details) | |
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Magnetic easy axis |
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Magnetic hardness parameter, κ |
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index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 4f | 0.333333 | 0.666667 | 0.937285 | -0.18 | . | . |
2 | Zr | 4f | 0.666667 | 0.333333 | 0.062715 | -0.18 | . | . |
3 | Zr | 4f | 0.666667 | 0.333333 | 0.437285 | -0.18 | . | . |
4 | Zr | 4f | 0.333333 | 0.666667 | 0.562715 | -0.18 | . | . |
5 | Cr | 2a | 0.000000 | 0.000000 | 0.000000 | -0.27 | . | . |
6 | Cr | 2a | 0.000000 | 0.000000 | 0.500000 | -0.27 | . | . |
7 | Fe | 6h | 0.832155 | 0.167845 | 0.750000 | 1.45 | . | . |
8 | Fe | 6h | 0.832155 | 0.664310 | 0.750000 | 1.45 | . | . |
9 | Fe | 6h | 0.335690 | 0.167845 | 0.750000 | 1.45 | . | . |
10 | Fe | 6h | 0.167845 | 0.832155 | 0.250000 | 1.45 | . | . |
11 | Fe | 6h | 0.167845 | 0.335690 | 0.250000 | 1.45 | . | . |
12 | Fe | 6h | 0.664310 | 0.832155 | 0.250000 | 1.45 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 4f | 2 | Zr | 4f | 3.05 | . |
1 | Zr | 4f | 3 | Zr | 4f | 4.96 | . |
1 | Zr | 4f | 4 | Zr | 4f | 3.02 | . |
1 | Zr | 4f | 5 | Cr | 2a | 2.92 | . |
1 | Zr | 4f | 6 | Cr | 2a | 4.55 | . |
1 | Zr | 4f | 7 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 8 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 9 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 10 | Fe | 6h | 2.90 | . |
1 | Zr | 4f | 11 | Fe | 6h | 2.90 | . |
1 | Zr | 4f | 12 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 3 | Zr | 4f | 3.02 | . |
2 | Zr | 4f | 4 | Zr | 4f | 4.96 | . |
2 | Zr | 4f | 5 | Cr | 2a | 2.92 | . |
2 | Zr | 4f | 6 | Cr | 2a | 4.55 | . |
2 | Zr | 4f | 7 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 8 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 9 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 10 | Fe | 6h | 2.91 | . |
2 | Zr | 4f | 11 | Fe | 6h | 2.91 | . |
2 | Zr | 4f | 12 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 4 | Zr | 4f | 3.05 | . |
3 | Zr | 4f | 5 | Cr | 2a | 4.55 | . |
3 | Zr | 4f | 6 | Cr | 2a | 2.92 | . |
3 | Zr | 4f | 7 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 8 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 9 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 10 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 11 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 12 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 5 | Cr | 2a | 4.55 | . |
4 | Zr | 4f | 6 | Cr | 2a | 2.92 | . |
4 | Zr | 4f | 7 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 8 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 9 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 10 | Fe | 6h | 2.90 | . |
4 | Zr | 4f | 11 | Fe | 6h | 2.90 | . |
4 | Zr | 4f | 12 | Fe | 6h | 2.90 | . |
5 | Cr | 2a | 6 | Cr | 2a | 4.04 | . |
5 | Cr | 2a | 7 | Fe | 6h | 2.48 | . |
5 | Cr | 2a | 8 | Fe | 6h | 2.48 | . |
5 | Cr | 2a | 9 | Fe | 6h | 2.48 | . |
5 | Cr | 2a | 10 | Fe | 6h | 2.48 | . |
5 | Cr | 2a | 11 | Fe | 6h | 2.48 | . |
5 | Cr | 2a | 12 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 7 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 8 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 9 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 10 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 11 | Fe | 6h | 2.48 | . |
6 | Cr | 2a | 12 | Fe | 6h | 2.48 | . |
7 | Fe | 6h | 8 | Fe | 6h | 2.47 | . |
7 | Fe | 6h | 9 | Fe | 6h | 2.47 | . |
7 | Fe | 6h | 10 | Fe | 6h | 4.95 | . |
7 | Fe | 6h | 11 | Fe | 6h | 4.29 | . |
7 | Fe | 6h | 12 | Fe | 6h | 4.29 | . |
8 | Fe | 6h | 9 | Fe | 6h | 2.47 | . |
8 | Fe | 6h | 10 | Fe | 6h | 4.29 | . |
8 | Fe | 6h | 11 | Fe | 6h | 4.95 | . |
8 | Fe | 6h | 12 | Fe | 6h | 4.29 | . |
9 | Fe | 6h | 10 | Fe | 6h | 4.29 | . |
9 | Fe | 6h | 11 | Fe | 6h | 4.29 | . |
9 | Fe | 6h | 12 | Fe | 6h | 4.95 | . |
10 | Fe | 6h | 11 | Fe | 6h | 2.47 | . |
10 | Fe | 6h | 12 | Fe | 6h | 2.47 | . |
11 | Fe | 6h | 12 | Fe | 6h | 2.47 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1215662 |