Crystal system |
trigonal |
Space group number |
162 |
Hermann-Mauguin |
P-31m |
Hall |
-P 3 2 |
Point group |
-3m |
Normalized formula |
Mn4FeGe3 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
16 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
7.1223 |
b (Å) |
7.1223 |
c (Å) |
4.9342 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
216.764 |
Density (g/cm3) |
7.561 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-91.8 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Mn4FeGe3 |
1 entry found |
Compounds with the same elements: Mn-Fe-Ge |
4 entries found |
Binary compounds in Mn-Fe system |
6 entries found |
Binary compounds in Mn-Ge system |
14 entries found |
Binary compounds in Fe-Ge system |
21 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
25.95 μB/cell |
Averaged magnetic moment |
1.62 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.40 T (= 1114.1 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-0.35 MJ/m3 (= -0.48 meV/cell) |
Magnetic easy axis |
ab plane |
Magnetic hardness parameter, κ |
0.48 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Mn | 2c | 0.333333 | 0.666667 | 0.000000 | 2.33 | . | . |
2 | Mn | 2c | 0.666667 | 0.333333 | 0.000000 | 2.33 | . | . |
3 | Mn | 6k | 0.753708 | 0.753708 | 0.246009 | 2.98 | . | . |
4 | Mn | 6k | 0.246292 | 0.000000 | 0.246009 | 2.98 | . | . |
5 | Mn | 6k | 0.000000 | 0.246292 | 0.246009 | 2.98 | . | . |
6 | Mn | 6k | 0.246292 | 0.246292 | 0.753991 | 2.98 | . | . |
7 | Mn | 6k | 0.753708 | 0.000000 | 0.753991 | 2.98 | . | . |
8 | Mn | 6k | -0.000000 | 0.753708 | 0.753991 | 2.98 | . | . |
9 | Fe | 2d | 0.666667 | 0.333333 | 0.500000 | 1.78 | . | . |
10 | Fe | 2d | 0.333333 | 0.666667 | 0.500000 | 1.78 | . | . |
11 | Ge | 6k | 0.392661 | 0.392661 | 0.255410 | -0.11 | . | . |
12 | Ge | 6k | 0.607339 | 0.000000 | 0.255410 | -0.11 | . | . |
13 | Ge | 6k | 0.000000 | 0.607339 | 0.255410 | -0.11 | . | . |
14 | Ge | 6k | 0.607339 | 0.607339 | 0.744590 | -0.11 | . | . |
15 | Ge | 6k | 0.392661 | 0.000000 | 0.744590 | -0.11 | . | . |
16 | Ge | 6k | -0.000000 | 0.392661 | 0.744590 | -0.11 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 2c | 2 | Mn | 2c | 4.11 | . |
1 | Mn | 2c | 3 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 4 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 5 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 6 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 7 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 8 | Mn | 6k | 2.99 | . |
1 | Mn | 2c | 9 | Fe | 2d | 4.80 | . |
1 | Mn | 2c | 10 | Fe | 2d | 2.47 | . |
1 | Mn | 2c | 11 | Ge | 6k | 2.53 | . |
1 | Mn | 2c | 12 | Ge | 6k | 2.53 | . |
1 | Mn | 2c | 13 | Ge | 6k | 2.53 | . |
1 | Mn | 2c | 14 | Ge | 6k | 2.53 | . |
1 | Mn | 2c | 15 | Ge | 6k | 2.53 | . |
1 | Mn | 2c | 16 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 3 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 4 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 5 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 6 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 7 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 8 | Mn | 6k | 2.99 | . |
2 | Mn | 2c | 9 | Fe | 2d | 2.47 | . |
2 | Mn | 2c | 10 | Fe | 2d | 4.80 | . |
2 | Mn | 2c | 11 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 12 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 13 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 14 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 15 | Ge | 6k | 2.53 | . |
2 | Mn | 2c | 16 | Ge | 6k | 2.53 | . |
3 | Mn | 6k | 4 | Mn | 6k | 3.04 | . |
3 | Mn | 6k | 5 | Mn | 6k | 3.04 | . |
3 | Mn | 6k | 6 | Mn | 6k | 4.27 | . |
3 | Mn | 6k | 7 | Mn | 6k | 3.00 | . |
3 | Mn | 6k | 8 | Mn | 6k | 3.00 | . |
3 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
3 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
3 | Mn | 6k | 11 | Ge | 6k | 2.57 | . |
3 | Mn | 6k | 12 | Ge | 6k | 2.45 | . |
3 | Mn | 6k | 13 | Ge | 6k | 2.45 | . |
3 | Mn | 6k | 14 | Ge | 6k | 2.67 | . |
3 | Mn | 6k | 15 | Ge | 6k | 4.50 | . |
3 | Mn | 6k | 16 | Ge | 6k | 4.50 | . |
4 | Mn | 6k | 5 | Mn | 6k | 3.04 | . |
4 | Mn | 6k | 6 | Mn | 6k | 3.00 | . |
4 | Mn | 6k | 7 | Mn | 6k | 4.27 | . |
4 | Mn | 6k | 8 | Mn | 6k | 3.00 | . |
4 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
4 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
4 | Mn | 6k | 11 | Ge | 6k | 2.45 | . |
4 | Mn | 6k | 12 | Ge | 6k | 2.57 | . |
4 | Mn | 6k | 13 | Ge | 6k | 2.45 | . |
4 | Mn | 6k | 14 | Ge | 6k | 4.50 | . |
4 | Mn | 6k | 15 | Ge | 6k | 2.67 | . |
4 | Mn | 6k | 16 | Ge | 6k | 4.50 | . |
5 | Mn | 6k | 6 | Mn | 6k | 3.00 | . |
5 | Mn | 6k | 7 | Mn | 6k | 3.00 | . |
5 | Mn | 6k | 8 | Mn | 6k | 4.27 | . |
5 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
5 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
5 | Mn | 6k | 11 | Ge | 6k | 2.45 | . |
5 | Mn | 6k | 12 | Ge | 6k | 2.45 | . |
5 | Mn | 6k | 13 | Ge | 6k | 2.57 | . |
5 | Mn | 6k | 14 | Ge | 6k | 4.50 | . |
5 | Mn | 6k | 15 | Ge | 6k | 4.50 | . |
5 | Mn | 6k | 16 | Ge | 6k | 2.67 | . |
6 | Mn | 6k | 7 | Mn | 6k | 3.04 | . |
6 | Mn | 6k | 8 | Mn | 6k | 3.04 | . |
6 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
6 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
6 | Mn | 6k | 11 | Ge | 6k | 2.67 | . |
6 | Mn | 6k | 12 | Ge | 6k | 4.50 | . |
6 | Mn | 6k | 13 | Ge | 6k | 4.50 | . |
6 | Mn | 6k | 14 | Ge | 6k | 2.57 | . |
6 | Mn | 6k | 15 | Ge | 6k | 2.45 | . |
6 | Mn | 6k | 16 | Ge | 6k | 2.45 | . |
7 | Mn | 6k | 8 | Mn | 6k | 3.04 | . |
7 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
7 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
7 | Mn | 6k | 11 | Ge | 6k | 4.50 | . |
7 | Mn | 6k | 12 | Ge | 6k | 2.67 | . |
7 | Mn | 6k | 13 | Ge | 6k | 4.50 | . |
7 | Mn | 6k | 14 | Ge | 6k | 2.45 | . |
7 | Mn | 6k | 15 | Ge | 6k | 2.57 | . |
7 | Mn | 6k | 16 | Ge | 6k | 2.45 | . |
8 | Mn | 6k | 9 | Fe | 2d | 3.01 | . |
8 | Mn | 6k | 10 | Fe | 2d | 3.01 | . |
8 | Mn | 6k | 11 | Ge | 6k | 4.50 | . |
8 | Mn | 6k | 12 | Ge | 6k | 4.50 | . |
8 | Mn | 6k | 13 | Ge | 6k | 2.67 | . |
8 | Mn | 6k | 14 | Ge | 6k | 2.45 | . |
8 | Mn | 6k | 15 | Ge | 6k | 2.45 | . |
8 | Mn | 6k | 16 | Ge | 6k | 2.57 | . |
9 | Fe | 2d | 10 | Fe | 2d | 4.11 | . |
9 | Fe | 2d | 11 | Ge | 6k | 2.50 | . |
9 | Fe | 2d | 12 | Ge | 6k | 2.50 | . |
9 | Fe | 2d | 13 | Ge | 6k | 2.50 | . |
9 | Fe | 2d | 14 | Ge | 6k | 2.50 | . |
9 | Fe | 2d | 15 | Ge | 6k | 2.50 | . |
9 | Fe | 2d | 16 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 11 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 12 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 13 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 14 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 15 | Ge | 6k | 2.50 | . |
10 | Fe | 2d | 16 | Ge | 6k | 2.50 | . |
11 | Ge | 6k | 12 | Ge | 6k | 3.80 | . |
11 | Ge | 6k | 13 | Ge | 6k | 3.80 | . |
11 | Ge | 6k | 14 | Ge | 6k | 2.86 | . |
11 | Ge | 6k | 15 | Ge | 6k | 3.69 | . |
11 | Ge | 6k | 16 | Ge | 6k | 3.69 | . |
12 | Ge | 6k | 13 | Ge | 6k | 3.80 | . |
12 | Ge | 6k | 14 | Ge | 6k | 3.69 | . |
12 | Ge | 6k | 15 | Ge | 6k | 2.86 | . |
12 | Ge | 6k | 16 | Ge | 6k | 3.69 | . |
13 | Ge | 6k | 14 | Ge | 6k | 3.69 | . |
13 | Ge | 6k | 15 | Ge | 6k | 3.69 | . |
13 | Ge | 6k | 16 | Ge | 6k | 2.86 | . |
14 | Ge | 6k | 15 | Ge | 6k | 3.80 | . |
14 | Ge | 6k | 16 | Ge | 6k | 3.80 | . |
15 | Ge | 6k | 16 | Ge | 6k | 3.80 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1222161 |