Crystal system |
cubic |
Space group number |
225 |
Hermann-Mauguin |
Fm-3m |
Hall |
-F 4 2 3 |
Point group |
m-3m |
Normalized formula |
TiMn2Ge |
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) |
5.8720 |
b (Å) |
5.8720 |
c (Å) |
5.8720 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
202.467 |
Density (g/cm3) |
7.558 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-321.5 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: TiMn2Ge |
1 entry found |
Compounds with the same elements: Ti-Mn-Ge |
3 entries found |
Binary compounds in Ti-Mn system |
2 entries found |
Binary compounds in Ti-Ge system |
No entries found |
Binary compounds in Mn-Ge system |
14 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
7.86 μB/cell |
Averaged magnetic moment |
0.49 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.45 T (= 358.1 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 | Ti | 4a | 0.000000 | 0.000000 | 0.000000 | -0.37 | . | . |
2 | Ti | 4a | 0.000000 | 0.500000 | 0.500000 | -0.37 | . | . |
3 | Ti | 4a | 0.500000 | 0.000000 | 0.500000 | -0.37 | . | . |
4 | Ti | 4a | 0.500000 | 0.500000 | 0.000000 | -0.37 | . | . |
5 | Mn | 8c | 0.250000 | 0.250000 | 0.750000 | 1.19 | . | . |
6 | Mn | 8c | 0.750000 | 0.250000 | 0.750000 | 1.19 | . | . |
7 | Mn | 8c | 0.250000 | 0.750000 | 0.250000 | 1.19 | . | . |
8 | Mn | 8c | 0.750000 | 0.750000 | 0.250000 | 1.19 | . | . |
9 | Mn | 8c | 0.750000 | 0.250000 | 0.250000 | 1.19 | . | . |
10 | Mn | 8c | 0.250000 | 0.250000 | 0.250000 | 1.19 | . | . |
11 | Mn | 8c | 0.750000 | 0.750000 | 0.750000 | 1.19 | . | . |
12 | Mn | 8c | 0.250000 | 0.750000 | 0.750000 | 1.19 | . | . |
13 | Ge | 4b | 0.000000 | 0.500000 | 0.000000 | -0.03 | . | . |
14 | Ge | 4b | 0.000000 | 0.000000 | 0.500000 | -0.03 | . | . |
15 | Ge | 4b | 0.500000 | 0.500000 | 0.500000 | -0.03 | . | . |
16 | Ge | 4b | 0.500000 | 0.000000 | 0.000000 | -0.03 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 4a | 2 | Ti | 4a | 4.15 | . |
1 | Ti | 4a | 3 | Ti | 4a | 4.15 | . |
1 | Ti | 4a | 4 | Ti | 4a | 4.15 | . |
1 | Ti | 4a | 5 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 6 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 7 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 8 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 9 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 10 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 11 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 12 | Mn | 8c | 2.54 | . |
1 | Ti | 4a | 13 | Ge | 4b | 2.94 | . |
1 | Ti | 4a | 14 | Ge | 4b | 2.94 | . |
1 | Ti | 4a | 15 | Ge | 4b | 5.09 | . |
1 | Ti | 4a | 16 | Ge | 4b | 2.94 | . |
2 | Ti | 4a | 3 | Ti | 4a | 4.15 | . |
2 | Ti | 4a | 4 | Ti | 4a | 4.15 | . |
2 | Ti | 4a | 5 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 6 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 7 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 8 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 9 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 10 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 11 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 12 | Mn | 8c | 2.54 | . |
2 | Ti | 4a | 13 | Ge | 4b | 2.94 | . |
2 | Ti | 4a | 14 | Ge | 4b | 2.94 | . |
2 | Ti | 4a | 15 | Ge | 4b | 2.94 | . |
2 | Ti | 4a | 16 | Ge | 4b | 5.09 | . |
3 | Ti | 4a | 4 | Ti | 4a | 4.15 | . |
3 | Ti | 4a | 5 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 6 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 7 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 8 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 9 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 10 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 11 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 12 | Mn | 8c | 2.54 | . |
3 | Ti | 4a | 13 | Ge | 4b | 5.09 | . |
3 | Ti | 4a | 14 | Ge | 4b | 2.94 | . |
3 | Ti | 4a | 15 | Ge | 4b | 2.94 | . |
3 | Ti | 4a | 16 | Ge | 4b | 2.94 | . |
4 | Ti | 4a | 5 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 6 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 7 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 8 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 9 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 10 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 11 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 12 | Mn | 8c | 2.54 | . |
4 | Ti | 4a | 13 | Ge | 4b | 2.94 | . |
4 | Ti | 4a | 14 | Ge | 4b | 5.09 | . |
4 | Ti | 4a | 15 | Ge | 4b | 2.94 | . |
4 | Ti | 4a | 16 | Ge | 4b | 2.94 | . |
5 | Mn | 8c | 6 | Mn | 8c | 2.94 | . |
5 | Mn | 8c | 7 | Mn | 8c | 4.15 | . |
5 | Mn | 8c | 8 | Mn | 8c | 5.09 | . |
5 | Mn | 8c | 9 | Mn | 8c | 4.15 | . |
5 | Mn | 8c | 10 | Mn | 8c | 2.94 | . |
5 | Mn | 8c | 11 | Mn | 8c | 4.15 | . |
5 | Mn | 8c | 12 | Mn | 8c | 2.94 | . |
5 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
5 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
5 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
5 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
6 | Mn | 8c | 7 | Mn | 8c | 5.09 | . |
6 | Mn | 8c | 8 | Mn | 8c | 4.15 | . |
6 | Mn | 8c | 9 | Mn | 8c | 2.94 | . |
6 | Mn | 8c | 10 | Mn | 8c | 4.15 | . |
6 | Mn | 8c | 11 | Mn | 8c | 2.94 | . |
6 | Mn | 8c | 12 | Mn | 8c | 4.15 | . |
6 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
6 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
6 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
6 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
7 | Mn | 8c | 8 | Mn | 8c | 2.94 | . |
7 | Mn | 8c | 9 | Mn | 8c | 4.15 | . |
7 | Mn | 8c | 10 | Mn | 8c | 2.94 | . |
7 | Mn | 8c | 11 | Mn | 8c | 4.15 | . |
7 | Mn | 8c | 12 | Mn | 8c | 2.94 | . |
7 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
7 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
7 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
7 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
8 | Mn | 8c | 9 | Mn | 8c | 2.94 | . |
8 | Mn | 8c | 10 | Mn | 8c | 4.15 | . |
8 | Mn | 8c | 11 | Mn | 8c | 2.94 | . |
8 | Mn | 8c | 12 | Mn | 8c | 4.15 | . |
8 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
8 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
8 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
8 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
9 | Mn | 8c | 10 | Mn | 8c | 2.94 | . |
9 | Mn | 8c | 11 | Mn | 8c | 4.15 | . |
9 | Mn | 8c | 12 | Mn | 8c | 5.09 | . |
9 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
9 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
9 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
9 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
10 | Mn | 8c | 11 | Mn | 8c | 5.09 | . |
10 | Mn | 8c | 12 | Mn | 8c | 4.15 | . |
10 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
10 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
10 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
10 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
11 | Mn | 8c | 12 | Mn | 8c | 2.94 | . |
11 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
11 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
11 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
11 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
12 | Mn | 8c | 13 | Ge | 4b | 2.54 | . |
12 | Mn | 8c | 14 | Ge | 4b | 2.54 | . |
12 | Mn | 8c | 15 | Ge | 4b | 2.54 | . |
12 | Mn | 8c | 16 | Ge | 4b | 2.54 | . |
13 | Ge | 4b | 14 | Ge | 4b | 4.15 | . |
13 | Ge | 4b | 15 | Ge | 4b | 4.15 | . |
13 | Ge | 4b | 16 | Ge | 4b | 4.15 | . |
14 | Ge | 4b | 15 | Ge | 4b | 4.15 | . |
14 | Ge | 4b | 16 | Ge | 4b | 4.15 | . |
15 | Ge | 4b | 16 | Ge | 4b | 4.15 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-866376 |