Crystal system |
tetragonal |
Space group number |
136 |
Hermann-Mauguin |
P4_2/mnm |
Hall |
-P 4n 2n |
Point group |
4/mmm |
Normalized formula |
Zr(Fe2Si)2 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
14 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
6.9178 |
b (Å) |
6.9178 |
c (Å) |
3.7273 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
178.372 |
Density (g/cm3) |
6.903 |
DFT calculations (details) | |
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Formation energy (vs. elemental phases) |
-512.7 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Zr(Fe2Si)2 |
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 |
7.32 μB/cell |
Averaged magnetic moment |
0.52 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.48 T (= 382.0 emu/cm3) |
LMTO-GF calculations (details) | |
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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 | 2b | 0.500000 | 0.500000 | 0.000000 | -0.11 | . | . |
2 | Zr | 2b | 0.000000 | 0.000000 | 0.500000 | -0.11 | . | . |
3 | Fe | 8i | 0.588272 | 0.147685 | 0.500000 | 0.99 | . | . |
4 | Fe | 8i | 0.411728 | 0.852315 | 0.500000 | 0.99 | . | . |
5 | Fe | 8i | 0.147685 | 0.588272 | 0.500000 | 0.99 | . | . |
6 | Fe | 8i | 0.852315 | 0.411728 | 0.500000 | 0.99 | . | . |
7 | Fe | 8i | 0.088272 | 0.352315 | 0.000000 | 0.99 | . | . |
8 | Fe | 8i | 0.911728 | 0.647685 | 0.000000 | 0.99 | . | . |
9 | Fe | 8i | 0.647685 | 0.911728 | 0.000000 | 0.99 | . | . |
10 | Fe | 8i | 0.352315 | 0.088272 | 0.000000 | 0.99 | . | . |
11 | Si | 4g | 0.217268 | 0.782732 | 0.000000 | -0.04 | . | . |
12 | Si | 4g | 0.282732 | 0.282732 | 0.500000 | -0.04 | . | . |
13 | Si | 4g | 0.717268 | 0.717268 | 0.500000 | -0.04 | . | . |
14 | Si | 4g | 0.782732 | 0.217268 | 0.000000 | -0.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 2b | 2 | Zr | 2b | 5.23 | . |
1 | Zr | 2b | 3 | Fe | 8i | 3.13 | . |
1 | Zr | 2b | 4 | Fe | 8i | 3.13 | . |
1 | Zr | 2b | 5 | Fe | 8i | 3.13 | . |
1 | Zr | 2b | 6 | Fe | 8i | 3.13 | . |
1 | Zr | 2b | 7 | Fe | 8i | 3.03 | . |
1 | Zr | 2b | 8 | Fe | 8i | 3.03 | . |
1 | Zr | 2b | 9 | Fe | 8i | 3.03 | . |
1 | Zr | 2b | 10 | Fe | 8i | 3.03 | . |
1 | Zr | 2b | 11 | Si | 4g | 2.77 | . |
1 | Zr | 2b | 12 | Si | 4g | 2.83 | . |
1 | Zr | 2b | 13 | Si | 4g | 2.83 | . |
1 | Zr | 2b | 14 | Si | 4g | 2.77 | . |
2 | Zr | 2b | 3 | Fe | 8i | 3.03 | . |
2 | Zr | 2b | 4 | Fe | 8i | 3.03 | . |
2 | Zr | 2b | 5 | Fe | 8i | 3.03 | . |
2 | Zr | 2b | 6 | Fe | 8i | 3.03 | . |
2 | Zr | 2b | 7 | Fe | 8i | 3.13 | . |
2 | Zr | 2b | 8 | Fe | 8i | 3.13 | . |
2 | Zr | 2b | 9 | Fe | 8i | 3.13 | . |
2 | Zr | 2b | 10 | Fe | 8i | 3.13 | . |
2 | Zr | 2b | 11 | Si | 4g | 2.83 | . |
2 | Zr | 2b | 12 | Si | 4g | 2.77 | . |
2 | Zr | 2b | 13 | Si | 4g | 2.77 | . |
2 | Zr | 2b | 14 | Si | 4g | 2.83 | . |
3 | Fe | 8i | 4 | Fe | 8i | 2.38 | . |
3 | Fe | 8i | 5 | Fe | 8i | 4.31 | . |
3 | Fe | 8i | 6 | Fe | 8i | 2.58 | . |
3 | Fe | 8i | 7 | Fe | 8i | 4.18 | . |
3 | Fe | 8i | 8 | Fe | 8i | 4.52 | . |
3 | Fe | 8i | 9 | Fe | 8i | 2.51 | . |
3 | Fe | 8i | 10 | Fe | 8i | 2.51 | . |
3 | Fe | 8i | 11 | Si | 4g | 4.05 | . |
3 | Fe | 8i | 12 | Si | 4g | 2.31 | . |
3 | Fe | 8i | 13 | Si | 4g | 3.11 | . |
3 | Fe | 8i | 14 | Si | 4g | 2.35 | . |
4 | Fe | 8i | 5 | Fe | 8i | 2.58 | . |
4 | Fe | 8i | 6 | Fe | 8i | 4.31 | . |
4 | Fe | 8i | 7 | Fe | 8i | 4.52 | . |
4 | Fe | 8i | 8 | Fe | 8i | 4.18 | . |
4 | Fe | 8i | 9 | Fe | 8i | 2.51 | . |
4 | Fe | 8i | 10 | Fe | 8i | 2.51 | . |
4 | Fe | 8i | 11 | Si | 4g | 2.35 | . |
4 | Fe | 8i | 12 | Si | 4g | 3.11 | . |
4 | Fe | 8i | 13 | Si | 4g | 2.31 | . |
4 | Fe | 8i | 14 | Si | 4g | 4.05 | . |
5 | Fe | 8i | 6 | Fe | 8i | 2.38 | . |
5 | Fe | 8i | 7 | Fe | 8i | 2.51 | . |
5 | Fe | 8i | 8 | Fe | 8i | 2.51 | . |
5 | Fe | 8i | 9 | Fe | 8i | 4.52 | . |
5 | Fe | 8i | 10 | Fe | 8i | 4.18 | . |
5 | Fe | 8i | 11 | Si | 4g | 2.35 | . |
5 | Fe | 8i | 12 | Si | 4g | 2.31 | . |
5 | Fe | 8i | 13 | Si | 4g | 3.11 | . |
5 | Fe | 8i | 14 | Si | 4g | 4.05 | . |
6 | Fe | 8i | 7 | Fe | 8i | 2.51 | . |
6 | Fe | 8i | 8 | Fe | 8i | 2.51 | . |
6 | Fe | 8i | 9 | Fe | 8i | 4.18 | . |
6 | Fe | 8i | 10 | Fe | 8i | 4.52 | . |
6 | Fe | 8i | 11 | Si | 4g | 4.05 | . |
6 | Fe | 8i | 12 | Si | 4g | 3.11 | . |
6 | Fe | 8i | 13 | Si | 4g | 2.31 | . |
6 | Fe | 8i | 14 | Si | 4g | 2.35 | . |
7 | Fe | 8i | 8 | Fe | 8i | 2.38 | . |
7 | Fe | 8i | 9 | Fe | 8i | 4.31 | . |
7 | Fe | 8i | 10 | Fe | 8i | 2.58 | . |
7 | Fe | 8i | 11 | Si | 4g | 3.11 | . |
7 | Fe | 8i | 12 | Si | 4g | 2.35 | . |
7 | Fe | 8i | 13 | Si | 4g | 4.05 | . |
7 | Fe | 8i | 14 | Si | 4g | 2.31 | . |
8 | Fe | 8i | 9 | Fe | 8i | 2.58 | . |
8 | Fe | 8i | 10 | Fe | 8i | 4.31 | . |
8 | Fe | 8i | 11 | Si | 4g | 2.31 | . |
8 | Fe | 8i | 12 | Si | 4g | 4.05 | . |
8 | Fe | 8i | 13 | Si | 4g | 2.35 | . |
8 | Fe | 8i | 14 | Si | 4g | 3.11 | . |
9 | Fe | 8i | 10 | Fe | 8i | 2.38 | . |
9 | Fe | 8i | 11 | Si | 4g | 3.11 | . |
9 | Fe | 8i | 12 | Si | 4g | 4.05 | . |
9 | Fe | 8i | 13 | Si | 4g | 2.35 | . |
9 | Fe | 8i | 14 | Si | 4g | 2.31 | . |
10 | Fe | 8i | 11 | Si | 4g | 2.31 | . |
10 | Fe | 8i | 12 | Si | 4g | 2.35 | . |
10 | Fe | 8i | 13 | Si | 4g | 4.05 | . |
10 | Fe | 8i | 14 | Si | 4g | 3.11 | . |
11 | Si | 4g | 12 | Si | 4g | 3.96 | . |
11 | Si | 4g | 13 | Si | 4g | 3.96 | . |
11 | Si | 4g | 14 | Si | 4g | 4.25 | . |
12 | Si | 4g | 13 | Si | 4g | 4.25 | . |
12 | Si | 4g | 14 | Si | 4g | 3.96 | . |
13 | Si | 4g | 14 | Si | 4g | 3.96 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-19792 |