Crystal system |
cubic |
Space group number |
225 |
Hermann-Mauguin |
Fm-3m |
Hall |
-F 4 2 3 |
Point group |
m-3m |
Normalized formula |
Mn3Si |
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 |
MP |
a (Å) |
5.6567 |
b (Å) |
5.6567 |
c (Å) |
5.6567 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
181.002 |
Density (g/cm3) |
7.079 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-314.1 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Mn3Si |
2 entries found |
Compounds with the same elements: Mn-Si |
11 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
4.07 μB/cell |
Averaged magnetic moment |
0.25 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.26 T (= 206.9 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 | Mn | 8c | 0.250000 | 0.750000 | 0.750000 | -0.75 | . | . |
2 | Mn | 8c | 0.750000 | 0.250000 | 0.250000 | -0.75 | . | . |
3 | Mn | 8c | 0.000000 | 0.000000 | 0.500000 | 2.45 | . | . |
4 | Mn | 8c | 0.250000 | 0.250000 | 0.250000 | -0.75 | . | . |
5 | Mn | 8c | 0.750000 | 0.750000 | 0.750000 | -0.75 | . | . |
6 | Mn | 8c | 0.000000 | 0.500000 | 0.000000 | 2.45 | . | . |
7 | Mn | 8c | 0.750000 | 0.750000 | 0.250000 | -0.75 | . | . |
8 | Mn | 8c | 0.250000 | 0.250000 | 0.750000 | -0.75 | . | . |
9 | Mn | 4b | 0.500000 | 0.000000 | 0.000000 | 2.45 | . | . |
10 | Mn | 4b | 0.750000 | 0.250000 | 0.750000 | -0.75 | . | . |
11 | Mn | 4b | 0.250000 | 0.750000 | 0.250000 | -0.75 | . | . |
12 | Mn | 4b | 0.500000 | 0.500000 | 0.500000 | 2.45 | . | . |
13 | Si | 4a | 0.000000 | 0.000000 | 0.000000 | 0.04 | . | . |
14 | Si | 4a | 0.000000 | 0.500000 | 0.500000 | 0.04 | . | . |
15 | Si | 4a | 0.500000 | 0.000000 | 0.500000 | 0.04 | . | . |
16 | Si | 4a | 0.500000 | 0.500000 | 0.000000 | 0.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 8c | 2 | Mn | 8c | 4.90 | . |
1 | Mn | 8c | 3 | Mn | 8c | 2.45 | . |
1 | Mn | 8c | 4 | Mn | 8c | 4.00 | . |
1 | Mn | 8c | 5 | Mn | 8c | 2.83 | . |
1 | Mn | 8c | 6 | Mn | 8c | 2.45 | . |
1 | Mn | 8c | 7 | Mn | 8c | 4.00 | . |
1 | Mn | 8c | 8 | Mn | 8c | 2.83 | . |
1 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
1 | Mn | 8c | 10 | Mn | 4b | 4.00 | . |
1 | Mn | 8c | 11 | Mn | 4b | 2.83 | . |
1 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
1 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
1 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
1 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
1 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
2 | Mn | 8c | 3 | Mn | 8c | 2.45 | . |
2 | Mn | 8c | 4 | Mn | 8c | 2.83 | . |
2 | Mn | 8c | 5 | Mn | 8c | 4.00 | . |
2 | Mn | 8c | 6 | Mn | 8c | 2.45 | . |
2 | Mn | 8c | 7 | Mn | 8c | 2.83 | . |
2 | Mn | 8c | 8 | Mn | 8c | 4.00 | . |
2 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
2 | Mn | 8c | 10 | Mn | 4b | 2.83 | . |
2 | Mn | 8c | 11 | Mn | 4b | 4.00 | . |
2 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
2 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
2 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
2 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
2 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
3 | Mn | 8c | 4 | Mn | 8c | 2.45 | . |
3 | Mn | 8c | 5 | Mn | 8c | 2.45 | . |
3 | Mn | 8c | 6 | Mn | 8c | 4.00 | . |
3 | Mn | 8c | 7 | Mn | 8c | 2.45 | . |
3 | Mn | 8c | 8 | Mn | 8c | 2.45 | . |
3 | Mn | 8c | 9 | Mn | 4b | 4.00 | . |
3 | Mn | 8c | 10 | Mn | 4b | 2.45 | . |
3 | Mn | 8c | 11 | Mn | 4b | 2.45 | . |
3 | Mn | 8c | 12 | Mn | 4b | 4.00 | . |
3 | Mn | 8c | 13 | Si | 4a | 2.83 | . |
3 | Mn | 8c | 14 | Si | 4a | 2.83 | . |
3 | Mn | 8c | 15 | Si | 4a | 2.83 | . |
3 | Mn | 8c | 16 | Si | 4a | 4.90 | . |
4 | Mn | 8c | 5 | Mn | 8c | 4.90 | . |
4 | Mn | 8c | 6 | Mn | 8c | 2.45 | . |
4 | Mn | 8c | 7 | Mn | 8c | 4.00 | . |
4 | Mn | 8c | 8 | Mn | 8c | 2.83 | . |
4 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
4 | Mn | 8c | 10 | Mn | 4b | 4.00 | . |
4 | Mn | 8c | 11 | Mn | 4b | 2.83 | . |
4 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
4 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
4 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
4 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
4 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
5 | Mn | 8c | 6 | Mn | 8c | 2.45 | . |
5 | Mn | 8c | 7 | Mn | 8c | 2.83 | . |
5 | Mn | 8c | 8 | Mn | 8c | 4.00 | . |
5 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
5 | Mn | 8c | 10 | Mn | 4b | 2.83 | . |
5 | Mn | 8c | 11 | Mn | 4b | 4.00 | . |
5 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
5 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
5 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
5 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
5 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
6 | Mn | 8c | 7 | Mn | 8c | 2.45 | . |
6 | Mn | 8c | 8 | Mn | 8c | 2.45 | . |
6 | Mn | 8c | 9 | Mn | 4b | 4.00 | . |
6 | Mn | 8c | 10 | Mn | 4b | 2.45 | . |
6 | Mn | 8c | 11 | Mn | 4b | 2.45 | . |
6 | Mn | 8c | 12 | Mn | 4b | 4.00 | . |
6 | Mn | 8c | 13 | Si | 4a | 2.83 | . |
6 | Mn | 8c | 14 | Si | 4a | 2.83 | . |
6 | Mn | 8c | 15 | Si | 4a | 4.90 | . |
6 | Mn | 8c | 16 | Si | 4a | 2.83 | . |
7 | Mn | 8c | 8 | Mn | 8c | 4.90 | . |
7 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
7 | Mn | 8c | 10 | Mn | 4b | 4.00 | . |
7 | Mn | 8c | 11 | Mn | 4b | 2.83 | . |
7 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
7 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
7 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
7 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
7 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
8 | Mn | 8c | 9 | Mn | 4b | 2.45 | . |
8 | Mn | 8c | 10 | Mn | 4b | 2.83 | . |
8 | Mn | 8c | 11 | Mn | 4b | 4.00 | . |
8 | Mn | 8c | 12 | Mn | 4b | 2.45 | . |
8 | Mn | 8c | 13 | Si | 4a | 2.45 | . |
8 | Mn | 8c | 14 | Si | 4a | 2.45 | . |
8 | Mn | 8c | 15 | Si | 4a | 2.45 | . |
8 | Mn | 8c | 16 | Si | 4a | 2.45 | . |
9 | Mn | 4b | 10 | Mn | 4b | 2.45 | . |
9 | Mn | 4b | 11 | Mn | 4b | 2.45 | . |
9 | Mn | 4b | 12 | Mn | 4b | 4.00 | . |
9 | Mn | 4b | 13 | Si | 4a | 2.83 | . |
9 | Mn | 4b | 14 | Si | 4a | 4.90 | . |
9 | Mn | 4b | 15 | Si | 4a | 2.83 | . |
9 | Mn | 4b | 16 | Si | 4a | 2.83 | . |
10 | Mn | 4b | 11 | Mn | 4b | 4.90 | . |
10 | Mn | 4b | 12 | Mn | 4b | 2.45 | . |
10 | Mn | 4b | 13 | Si | 4a | 2.45 | . |
10 | Mn | 4b | 14 | Si | 4a | 2.45 | . |
10 | Mn | 4b | 15 | Si | 4a | 2.45 | . |
10 | Mn | 4b | 16 | Si | 4a | 2.45 | . |
11 | Mn | 4b | 12 | Mn | 4b | 2.45 | . |
11 | Mn | 4b | 13 | Si | 4a | 2.45 | . |
11 | Mn | 4b | 14 | Si | 4a | 2.45 | . |
11 | Mn | 4b | 15 | Si | 4a | 2.45 | . |
11 | Mn | 4b | 16 | Si | 4a | 2.45 | . |
12 | Mn | 4b | 13 | Si | 4a | 4.90 | . |
12 | Mn | 4b | 14 | Si | 4a | 2.83 | . |
12 | Mn | 4b | 15 | Si | 4a | 2.83 | . |
12 | Mn | 4b | 16 | Si | 4a | 2.83 | . |
13 | Si | 4a | 14 | Si | 4a | 4.00 | . |
13 | Si | 4a | 15 | Si | 4a | 4.00 | . |
13 | Si | 4a | 16 | Si | 4a | 4.00 | . |
14 | Si | 4a | 15 | Si | 4a | 4.00 | . |
14 | Si | 4a | 16 | Si | 4a | 4.00 | . |
15 | Si | 4a | 16 | Si | 4a | 4.00 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-20211 |