Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Zr2Fe3Si |
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) |
4.9922 |
b (Å) |
4.9922 |
c (Å) |
8.0672 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
174.116 |
Density (g/cm3) |
7.211 |
DFT calculations (details) | |
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Formation energy (vs. elemental phases) |
-549.9 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Zr2Fe3Si |
1 entry found |
Compounds with the same elements: Zr-Fe-Si |
10 entries found |
Binary compounds in Zr-Fe system |
7 entries found |
Binary compounds in Zr-Si system |
No entries found |
Binary compounds in Fe-Si system |
47 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
7.90 μB/cell |
Averaged magnetic moment |
0.66 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.53 T (= 421.8 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic easy axis |
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Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 4f | 0.666667 | 0.333333 | 0.936164 | -0.30 | . | . |
2 | Zr | 4f | 0.333333 | 0.666667 | 0.436164 | -0.30 | . | . |
3 | Zr | 4f | 0.666667 | 0.333333 | 0.563836 | -0.30 | . | . |
4 | Zr | 4f | 0.333333 | 0.666667 | 0.063836 | -0.30 | . | . |
5 | Fe | 6h | 0.169653 | 0.830347 | 0.750000 | 1.66 | . | . |
6 | Fe | 6h | 0.660695 | 0.830347 | 0.750000 | 1.66 | . | . |
7 | Fe | 6h | 0.830347 | 0.169653 | 0.250000 | 1.66 | . | . |
8 | Fe | 6h | 0.169653 | 0.339305 | 0.750000 | 1.66 | . | . |
9 | Fe | 6h | 0.830347 | 0.660695 | 0.250000 | 1.66 | . | . |
10 | Fe | 6h | 0.339305 | 0.169653 | 0.250000 | 1.66 | . | . |
11 | Si | 2a | 0.000000 | 0.000000 | 0.500000 | -0.02 | . | . |
12 | Si | 2a | 0.000000 | 0.000000 | 0.000000 | -0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 4f | 2 | Zr | 4f | 4.96 | . |
1 | Zr | 4f | 3 | Zr | 4f | 3.00 | . |
1 | Zr | 4f | 4 | Zr | 4f | 3.06 | . |
1 | Zr | 4f | 5 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 6 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 7 | Fe | 6h | 2.90 | . |
1 | Zr | 4f | 8 | Fe | 6h | 2.91 | . |
1 | Zr | 4f | 9 | Fe | 6h | 2.90 | . |
1 | Zr | 4f | 10 | Fe | 6h | 2.90 | . |
1 | Zr | 4f | 11 | Si | 2a | 4.55 | . |
1 | Zr | 4f | 12 | Si | 2a | 2.93 | . |
2 | Zr | 4f | 3 | Zr | 4f | 3.06 | . |
2 | Zr | 4f | 4 | Zr | 4f | 3.00 | . |
2 | Zr | 4f | 5 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 6 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 7 | Fe | 6h | 2.91 | . |
2 | Zr | 4f | 8 | Fe | 6h | 2.90 | . |
2 | Zr | 4f | 9 | Fe | 6h | 2.91 | . |
2 | Zr | 4f | 10 | Fe | 6h | 2.91 | . |
2 | Zr | 4f | 11 | Si | 2a | 2.93 | . |
2 | Zr | 4f | 12 | Si | 2a | 4.55 | . |
3 | Zr | 4f | 4 | Zr | 4f | 4.96 | . |
3 | Zr | 4f | 5 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 6 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 7 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 8 | Fe | 6h | 2.91 | . |
3 | Zr | 4f | 9 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 10 | Fe | 6h | 2.90 | . |
3 | Zr | 4f | 11 | Si | 2a | 2.93 | . |
3 | Zr | 4f | 12 | Si | 2a | 4.55 | . |
4 | Zr | 4f | 5 | Fe | 6h | 2.90 | . |
4 | Zr | 4f | 6 | Fe | 6h | 2.90 | . |
4 | Zr | 4f | 7 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 8 | Fe | 6h | 2.90 | . |
4 | Zr | 4f | 9 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 10 | Fe | 6h | 2.91 | . |
4 | Zr | 4f | 11 | Si | 2a | 4.55 | . |
4 | Zr | 4f | 12 | Si | 2a | 2.93 | . |
5 | Fe | 6h | 6 | Fe | 6h | 2.45 | . |
5 | Fe | 6h | 7 | Fe | 6h | 4.94 | . |
5 | Fe | 6h | 8 | Fe | 6h | 2.45 | . |
5 | Fe | 6h | 9 | Fe | 6h | 4.29 | . |
5 | Fe | 6h | 10 | Fe | 6h | 4.29 | . |
5 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
5 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
6 | Fe | 6h | 7 | Fe | 6h | 4.29 | . |
6 | Fe | 6h | 8 | Fe | 6h | 2.45 | . |
6 | Fe | 6h | 9 | Fe | 6h | 4.29 | . |
6 | Fe | 6h | 10 | Fe | 6h | 4.94 | . |
6 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
6 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
7 | Fe | 6h | 8 | Fe | 6h | 4.29 | . |
7 | Fe | 6h | 9 | Fe | 6h | 2.45 | . |
7 | Fe | 6h | 10 | Fe | 6h | 2.45 | . |
7 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
7 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
8 | Fe | 6h | 9 | Fe | 6h | 4.94 | . |
8 | Fe | 6h | 10 | Fe | 6h | 4.29 | . |
8 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
8 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
9 | Fe | 6h | 10 | Fe | 6h | 2.45 | . |
9 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
9 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
10 | Fe | 6h | 11 | Si | 2a | 2.49 | . |
10 | Fe | 6h | 12 | Si | 2a | 2.49 | . |
11 | Si | 2a | 12 | Si | 2a | 4.03 | . |
DFT calculations |
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LMTO-GF calculations |
|
References |
Materials Project: mp-16336 |