Crystal system |
tetragonal |
Space group number |
140 |
Hermann-Mauguin |
I4/mcm |
Hall |
-I 4 2c |
Point group |
4/mmm |
Normalized formula |
MnGe2 |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
5.9617 |
b (Å) |
5.9617 |
c (Å) |
4.8518 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
172.442 |
Density (g/cm3) |
7.712 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-23.8 meV/atom |
Formation energy above hull |
44.1 meV/atom |
Compounds with the same formula: MnGe2 |
1 entry found |
Compounds with the same elements: Mn-Ge |
14 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
5.52 μB/cell |
Averaged magnetic moment |
0.46 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.37 T (= 294.4 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-0.17 MJ/m3 (= -0.19 meV/cell) |
Magnetic easy axis |
ab plane |
Magnetic hardness parameter, κ |
1.24 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Mn | 4a | 0.000000 | 0.000000 | 0.750000 | 1.53 | . | . |
2 | Mn | 4a | 0.000000 | 0.000000 | 0.250000 | 1.53 | . | . |
3 | Mn | 4a | 0.500000 | 0.500000 | 0.250000 | 1.53 | . | . |
4 | Mn | 4a | 0.500000 | 0.500000 | 0.750000 | 1.53 | . | . |
5 | Ge | 8h | 0.155419 | 0.655419 | 0.000000 | -0.06 | . | . |
6 | Ge | 8h | 0.844581 | 0.655419 | 0.500000 | -0.06 | . | . |
7 | Ge | 8h | 0.155419 | 0.344581 | 0.500000 | -0.06 | . | . |
8 | Ge | 8h | 0.844581 | 0.344581 | 0.000000 | -0.06 | . | . |
9 | Ge | 8h | 0.655419 | 0.155419 | 0.500000 | -0.06 | . | . |
10 | Ge | 8h | 0.344581 | 0.155419 | 0.000000 | -0.06 | . | . |
11 | Ge | 8h | 0.655419 | 0.844581 | 0.000000 | -0.06 | . | . |
12 | Ge | 8h | 0.344581 | 0.844581 | 0.500000 | -0.06 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 4a | 2 | Mn | 4a | 2.43 | . |
1 | Mn | 4a | 3 | Mn | 4a | 4.86 | . |
1 | Mn | 4a | 4 | Mn | 4a | 4.22 | . |
1 | Mn | 4a | 5 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 6 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 7 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 8 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 9 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 10 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 11 | Ge | 8h | 2.56 | . |
1 | Mn | 4a | 12 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 3 | Mn | 4a | 4.22 | . |
2 | Mn | 4a | 4 | Mn | 4a | 4.86 | . |
2 | Mn | 4a | 5 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 6 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 7 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 8 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 9 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 10 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 11 | Ge | 8h | 2.56 | . |
2 | Mn | 4a | 12 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 4 | Mn | 4a | 2.43 | . |
3 | Mn | 4a | 5 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 6 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 7 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 8 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 9 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 10 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 11 | Ge | 8h | 2.56 | . |
3 | Mn | 4a | 12 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 5 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 6 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 7 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 8 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 9 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 10 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 11 | Ge | 8h | 2.56 | . |
4 | Mn | 4a | 12 | Ge | 8h | 2.56 | . |
5 | Ge | 8h | 6 | Ge | 8h | 3.05 | . |
5 | Ge | 8h | 7 | Ge | 8h | 3.05 | . |
5 | Ge | 8h | 8 | Ge | 8h | 2.62 | . |
5 | Ge | 8h | 9 | Ge | 8h | 4.86 | . |
5 | Ge | 8h | 10 | Ge | 8h | 3.19 | . |
5 | Ge | 8h | 11 | Ge | 8h | 3.19 | . |
5 | Ge | 8h | 12 | Ge | 8h | 2.90 | . |
6 | Ge | 8h | 7 | Ge | 8h | 2.62 | . |
6 | Ge | 8h | 8 | Ge | 8h | 3.05 | . |
6 | Ge | 8h | 9 | Ge | 8h | 3.19 | . |
6 | Ge | 8h | 10 | Ge | 8h | 4.86 | . |
6 | Ge | 8h | 11 | Ge | 8h | 2.90 | . |
6 | Ge | 8h | 12 | Ge | 8h | 3.19 | . |
7 | Ge | 8h | 8 | Ge | 8h | 3.05 | . |
7 | Ge | 8h | 9 | Ge | 8h | 3.19 | . |
7 | Ge | 8h | 10 | Ge | 8h | 2.90 | . |
7 | Ge | 8h | 11 | Ge | 8h | 4.86 | . |
7 | Ge | 8h | 12 | Ge | 8h | 3.19 | . |
8 | Ge | 8h | 9 | Ge | 8h | 2.90 | . |
8 | Ge | 8h | 10 | Ge | 8h | 3.19 | . |
8 | Ge | 8h | 11 | Ge | 8h | 3.19 | . |
8 | Ge | 8h | 12 | Ge | 8h | 4.86 | . |
9 | Ge | 8h | 10 | Ge | 8h | 3.05 | . |
9 | Ge | 8h | 11 | Ge | 8h | 3.05 | . |
9 | Ge | 8h | 12 | Ge | 8h | 2.62 | . |
10 | Ge | 8h | 11 | Ge | 8h | 2.62 | . |
10 | Ge | 8h | 12 | Ge | 8h | 3.05 | . |
11 | Ge | 8h | 12 | Ge | 8h | 3.05 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1094140 |