Crystal system |
orthorhombic |
Space group number |
63 |
Hermann-Mauguin |
Cmcm |
Hall |
-C 2c 2 |
Point group |
mmm |
Normalized formula |
Fe3Si |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
16 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
AGA search |
a (Å) |
5.5324 |
b (Å) |
7.9870 |
c (Å) |
3.9665 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
175.271 |
Density (g/cm3) |
7.413 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-284.4 meV/atom |
Formation energy above hull |
35.5 meV/atom |
Compounds with the same formula: Fe3Si |
6 entries found |
Compounds with the same elements: Fe-Si |
47 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
18.64 μB/cell |
Averaged magnetic moment |
1.17 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.24 T (= 986.8 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-0.30 MJ/m3 (= -0.33 meV/cell) |
Magnetic anisotropy constant, Kb-c |
0.28 MJ/m3 (= 0.30 meV/cell) |
Magnetic anisotropy constant, Kb-a |
0.58 MJ/m3 (= 0.63 meV/cell) |
Magnetic easy axis |
a |
Magnetic hardness parameter, κ |
0.49 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Fe | 4c | 0.000000 | 0.126030 | 0.250000 | 2.46 | . | . |
2 | Fe | 4c | 0.000000 | 0.873970 | 0.750000 | 2.46 | . | . |
3 | Fe | 4c | 0.500000 | 0.626030 | 0.250000 | 2.46 | . | . |
4 | Fe | 4c | 0.500000 | 0.373970 | 0.750000 | 2.46 | . | . |
5 | Fe | 8g | 0.756970 | 0.379770 | 0.250000 | 1.18 | . | . |
6 | Fe | 8g | 0.243030 | 0.620230 | 0.750000 | 1.18 | . | . |
7 | Fe | 8g | 0.243030 | 0.379770 | 0.250000 | 1.18 | . | . |
8 | Fe | 8g | 0.756970 | 0.620230 | 0.750000 | 1.18 | . | . |
9 | Fe | 8g | 0.256970 | 0.879770 | 0.250000 | 1.18 | . | . |
10 | Fe | 8g | 0.743030 | 0.120230 | 0.750000 | 1.18 | . | . |
11 | Fe | 8g | 0.743030 | 0.879770 | 0.250000 | 1.18 | . | . |
12 | Fe | 8g | 0.256970 | 0.120230 | 0.750000 | 1.18 | . | . |
13 | Si | 4c | 0.000000 | 0.638590 | 0.250000 | -0.07 | . | . |
14 | Si | 4c | 0.000000 | 0.361410 | 0.750000 | -0.07 | . | . |
15 | Si | 4c | 0.500000 | 0.138590 | 0.250000 | -0.07 | . | . |
16 | Si | 4c | 0.500000 | 0.861410 | 0.750000 | -0.07 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Fe | 4c | 2 | Fe | 4c | 2.83 | . |
1 | Fe | 4c | 3 | Fe | 4c | 4.86 | . |
1 | Fe | 4c | 4 | Fe | 4c | 3.94 | . |
1 | Fe | 4c | 5 | Fe | 8g | 2.43 | . |
1 | Fe | 4c | 6 | Fe | 8g | 4.62 | . |
1 | Fe | 4c | 7 | Fe | 8g | 2.43 | . |
1 | Fe | 4c | 8 | Fe | 8g | 4.62 | . |
1 | Fe | 4c | 9 | Fe | 8g | 2.43 | . |
1 | Fe | 4c | 10 | Fe | 8g | 2.44 | . |
1 | Fe | 4c | 11 | Fe | 8g | 2.43 | . |
1 | Fe | 4c | 12 | Fe | 8g | 2.44 | . |
1 | Fe | 4c | 13 | Si | 4c | 3.89 | . |
1 | Fe | 4c | 14 | Si | 4c | 2.73 | . |
1 | Fe | 4c | 15 | Si | 4c | 2.77 | . |
1 | Fe | 4c | 16 | Si | 4c | 4.01 | . |
2 | Fe | 4c | 3 | Fe | 4c | 3.94 | . |
2 | Fe | 4c | 4 | Fe | 4c | 4.86 | . |
2 | Fe | 4c | 5 | Fe | 8g | 4.62 | . |
2 | Fe | 4c | 6 | Fe | 8g | 2.43 | . |
2 | Fe | 4c | 7 | Fe | 8g | 4.62 | . |
2 | Fe | 4c | 8 | Fe | 8g | 2.43 | . |
2 | Fe | 4c | 9 | Fe | 8g | 2.44 | . |
2 | Fe | 4c | 10 | Fe | 8g | 2.43 | . |
2 | Fe | 4c | 11 | Fe | 8g | 2.44 | . |
2 | Fe | 4c | 12 | Fe | 8g | 2.43 | . |
2 | Fe | 4c | 13 | Si | 4c | 2.73 | . |
2 | Fe | 4c | 14 | Si | 4c | 3.89 | . |
2 | Fe | 4c | 15 | Si | 4c | 4.01 | . |
2 | Fe | 4c | 16 | Si | 4c | 2.77 | . |
3 | Fe | 4c | 4 | Fe | 4c | 2.83 | . |
3 | Fe | 4c | 5 | Fe | 8g | 2.43 | . |
3 | Fe | 4c | 6 | Fe | 8g | 2.44 | . |
3 | Fe | 4c | 7 | Fe | 8g | 2.43 | . |
3 | Fe | 4c | 8 | Fe | 8g | 2.44 | . |
3 | Fe | 4c | 9 | Fe | 8g | 2.43 | . |
3 | Fe | 4c | 10 | Fe | 8g | 4.62 | . |
3 | Fe | 4c | 11 | Fe | 8g | 2.43 | . |
3 | Fe | 4c | 12 | Fe | 8g | 4.62 | . |
3 | Fe | 4c | 13 | Si | 4c | 2.77 | . |
3 | Fe | 4c | 14 | Si | 4c | 4.01 | . |
3 | Fe | 4c | 15 | Si | 4c | 3.89 | . |
3 | Fe | 4c | 16 | Si | 4c | 2.73 | . |
4 | Fe | 4c | 5 | Fe | 8g | 2.44 | . |
4 | Fe | 4c | 6 | Fe | 8g | 2.43 | . |
4 | Fe | 4c | 7 | Fe | 8g | 2.44 | . |
4 | Fe | 4c | 8 | Fe | 8g | 2.43 | . |
4 | Fe | 4c | 9 | Fe | 8g | 4.62 | . |
4 | Fe | 4c | 10 | Fe | 8g | 2.43 | . |
4 | Fe | 4c | 11 | Fe | 8g | 4.62 | . |
4 | Fe | 4c | 12 | Fe | 8g | 2.43 | . |
4 | Fe | 4c | 13 | Si | 4c | 4.01 | . |
4 | Fe | 4c | 14 | Si | 4c | 2.77 | . |
4 | Fe | 4c | 15 | Si | 4c | 2.73 | . |
4 | Fe | 4c | 16 | Si | 4c | 3.89 | . |
5 | Fe | 8g | 6 | Fe | 8g | 3.85 | . |
5 | Fe | 8g | 7 | Fe | 8g | 2.69 | . |
5 | Fe | 8g | 8 | Fe | 8g | 2.76 | . |
5 | Fe | 8g | 9 | Fe | 8g | 4.86 | . |
5 | Fe | 8g | 10 | Fe | 8g | 2.87 | . |
5 | Fe | 8g | 11 | Fe | 8g | 3.99 | . |
5 | Fe | 8g | 12 | Fe | 8g | 3.99 | . |
5 | Fe | 8g | 13 | Si | 4c | 2.47 | . |
5 | Fe | 8g | 14 | Si | 4c | 2.40 | . |
5 | Fe | 8g | 15 | Si | 4c | 2.39 | . |
5 | Fe | 8g | 16 | Si | 4c | 4.56 | . |
6 | Fe | 8g | 7 | Fe | 8g | 2.76 | . |
6 | Fe | 8g | 8 | Fe | 8g | 2.69 | . |
6 | Fe | 8g | 9 | Fe | 8g | 2.87 | . |
6 | Fe | 8g | 10 | Fe | 8g | 4.86 | . |
6 | Fe | 8g | 11 | Fe | 8g | 3.99 | . |
6 | Fe | 8g | 12 | Fe | 8g | 3.99 | . |
6 | Fe | 8g | 13 | Si | 4c | 2.40 | . |
6 | Fe | 8g | 14 | Si | 4c | 2.47 | . |
6 | Fe | 8g | 15 | Si | 4c | 4.56 | . |
6 | Fe | 8g | 16 | Si | 4c | 2.39 | . |
7 | Fe | 8g | 8 | Fe | 8g | 3.85 | . |
7 | Fe | 8g | 9 | Fe | 8g | 3.99 | . |
7 | Fe | 8g | 10 | Fe | 8g | 3.99 | . |
7 | Fe | 8g | 11 | Fe | 8g | 4.86 | . |
7 | Fe | 8g | 12 | Fe | 8g | 2.87 | . |
7 | Fe | 8g | 13 | Si | 4c | 2.47 | . |
7 | Fe | 8g | 14 | Si | 4c | 2.40 | . |
7 | Fe | 8g | 15 | Si | 4c | 2.39 | . |
7 | Fe | 8g | 16 | Si | 4c | 4.56 | . |
8 | Fe | 8g | 9 | Fe | 8g | 3.99 | . |
8 | Fe | 8g | 10 | Fe | 8g | 3.99 | . |
8 | Fe | 8g | 11 | Fe | 8g | 2.87 | . |
8 | Fe | 8g | 12 | Fe | 8g | 4.86 | . |
8 | Fe | 8g | 13 | Si | 4c | 2.40 | . |
8 | Fe | 8g | 14 | Si | 4c | 2.47 | . |
8 | Fe | 8g | 15 | Si | 4c | 4.56 | . |
8 | Fe | 8g | 16 | Si | 4c | 2.39 | . |
9 | Fe | 8g | 10 | Fe | 8g | 3.85 | . |
9 | Fe | 8g | 11 | Fe | 8g | 2.69 | . |
9 | Fe | 8g | 12 | Fe | 8g | 2.76 | . |
9 | Fe | 8g | 13 | Si | 4c | 2.39 | . |
9 | Fe | 8g | 14 | Si | 4c | 4.56 | . |
9 | Fe | 8g | 15 | Si | 4c | 2.47 | . |
9 | Fe | 8g | 16 | Si | 4c | 2.40 | . |
10 | Fe | 8g | 11 | Fe | 8g | 2.76 | . |
10 | Fe | 8g | 12 | Fe | 8g | 2.69 | . |
10 | Fe | 8g | 13 | Si | 4c | 4.56 | . |
10 | Fe | 8g | 14 | Si | 4c | 2.39 | . |
10 | Fe | 8g | 15 | Si | 4c | 2.40 | . |
10 | Fe | 8g | 16 | Si | 4c | 2.47 | . |
11 | Fe | 8g | 12 | Fe | 8g | 3.85 | . |
11 | Fe | 8g | 13 | Si | 4c | 2.39 | . |
11 | Fe | 8g | 14 | Si | 4c | 4.56 | . |
11 | Fe | 8g | 15 | Si | 4c | 2.47 | . |
11 | Fe | 8g | 16 | Si | 4c | 2.40 | . |
12 | Fe | 8g | 13 | Si | 4c | 4.56 | . |
12 | Fe | 8g | 14 | Si | 4c | 2.39 | . |
12 | Fe | 8g | 15 | Si | 4c | 2.40 | . |
12 | Fe | 8g | 16 | Si | 4c | 2.47 | . |
13 | Si | 4c | 14 | Si | 4c | 2.97 | . |
13 | Si | 4c | 15 | Si | 4c | 4.86 | . |
13 | Si | 4c | 16 | Si | 4c | 3.84 | . |
14 | Si | 4c | 15 | Si | 4c | 3.84 | . |
14 | Si | 4c | 16 | Si | 4c | 4.86 | . |
15 | Si | 4c | 16 | Si | 4c | 2.97 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
J. App. Phys. 124, 073901 (2018). DOI: 10.1063/1.5036992 |