Crystal system |
tetragonal |
Space group number |
140 |
Hermann-Mauguin |
I4/mcm |
Hall |
-I 4 2c |
Point group |
4/mmm |
Normalized formula |
Mn3GeN |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
20 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
5.2418 |
b (Å) |
5.2418 |
c (Å) |
8.1266 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
223.285 |
Density (g/cm3) |
7.480 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-193.3 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Mn3GeN |
1 entry found |
Compounds with the same elements: Mn-Ge-N |
5 entries found |
Binary compounds in Mn-Ge system |
14 entries found |
Binary compounds in Mn-N system |
12 entries found |
Binary compounds in Ge-N system |
No entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
21.28 μB/cell |
Averaged magnetic moment |
1.06 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.11 T (= 883.3 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 | 8h | 0.186280 | 0.686280 | 0.000000 | 1.38 | . | . |
2 | Mn | 8h | 0.813720 | 0.313720 | 0.000000 | 1.38 | . | . |
3 | Mn | 8h | 0.313720 | 0.186280 | 0.000000 | 1.38 | . | . |
4 | Mn | 8h | 0.686280 | 0.813720 | 0.000000 | 1.38 | . | . |
5 | Mn | 8h | 0.000000 | 0.000000 | 0.250000 | 2.13 | . | . |
6 | Mn | 8h | 0.500000 | 0.500000 | 0.250000 | 2.13 | . | . |
7 | Mn | 8h | 0.686280 | 0.186280 | 0.500000 | 1.38 | . | . |
8 | Mn | 8h | 0.313720 | 0.813720 | 0.500000 | 1.38 | . | . |
9 | Mn | 4a | 0.813720 | 0.686280 | 0.500000 | 1.38 | . | . |
10 | Mn | 4a | 0.186280 | 0.313720 | 0.500000 | 1.38 | . | . |
11 | Mn | 4a | 0.500000 | 0.500000 | 0.750000 | 2.13 | . | . |
12 | Mn | 4a | 0.000000 | 0.000000 | 0.750000 | 2.13 | . | . |
13 | Ge | 4b | 0.000000 | 0.500000 | 0.250000 | -0.11 | . | . |
14 | Ge | 4b | 0.500000 | 0.000000 | 0.250000 | -0.11 | . | . |
15 | Ge | 4b | 0.500000 | 0.000000 | 0.750000 | -0.11 | . | . |
16 | Ge | 4b | 0.000000 | 0.500000 | 0.750000 | -0.11 | . | . |
17 | N | 4c | 0.000000 | 0.000000 | 0.000000 | -0.10 | . | . |
18 | N | 4c | 0.500000 | 0.500000 | 0.000000 | -0.10 | . | . |
19 | N | 4c | 0.500000 | 0.500000 | 0.500000 | -0.10 | . | . |
20 | N | 4c | 0.000000 | 0.000000 | 0.500000 | -0.10 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 8h | 2 | Mn | 8h | 2.76 | . |
1 | Mn | 8h | 3 | Mn | 8h | 2.70 | . |
1 | Mn | 8h | 4 | Mn | 8h | 2.70 | . |
1 | Mn | 8h | 5 | Mn | 8h | 2.79 | . |
1 | Mn | 8h | 6 | Mn | 8h | 2.79 | . |
1 | Mn | 8h | 7 | Mn | 8h | 5.50 | . |
1 | Mn | 8h | 8 | Mn | 8h | 4.17 | . |
1 | Mn | 8h | 9 | Mn | 4a | 4.51 | . |
1 | Mn | 8h | 10 | Mn | 4a | 4.51 | . |
1 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
1 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
1 | Mn | 8h | 13 | Ge | 4b | 2.46 | . |
1 | Mn | 8h | 14 | Ge | 4b | 3.09 | . |
1 | Mn | 8h | 15 | Ge | 4b | 3.09 | . |
1 | Mn | 8h | 16 | Ge | 4b | 2.46 | . |
1 | Mn | 8h | 17 | N | 4c | 1.91 | . |
1 | Mn | 8h | 18 | N | 4c | 1.91 | . |
1 | Mn | 8h | 19 | N | 4c | 4.49 | . |
1 | Mn | 8h | 20 | N | 4c | 4.49 | . |
2 | Mn | 8h | 3 | Mn | 8h | 2.70 | . |
2 | Mn | 8h | 4 | Mn | 8h | 2.70 | . |
2 | Mn | 8h | 5 | Mn | 8h | 2.79 | . |
2 | Mn | 8h | 6 | Mn | 8h | 2.79 | . |
2 | Mn | 8h | 7 | Mn | 8h | 4.17 | . |
2 | Mn | 8h | 8 | Mn | 8h | 5.50 | . |
2 | Mn | 8h | 9 | Mn | 4a | 4.51 | . |
2 | Mn | 8h | 10 | Mn | 4a | 4.51 | . |
2 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
2 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
2 | Mn | 8h | 13 | Ge | 4b | 2.46 | . |
2 | Mn | 8h | 14 | Ge | 4b | 3.09 | . |
2 | Mn | 8h | 15 | Ge | 4b | 3.09 | . |
2 | Mn | 8h | 16 | Ge | 4b | 2.46 | . |
2 | Mn | 8h | 17 | N | 4c | 1.91 | . |
2 | Mn | 8h | 18 | N | 4c | 1.91 | . |
2 | Mn | 8h | 19 | N | 4c | 4.49 | . |
2 | Mn | 8h | 20 | N | 4c | 4.49 | . |
3 | Mn | 8h | 4 | Mn | 8h | 2.76 | . |
3 | Mn | 8h | 5 | Mn | 8h | 2.79 | . |
3 | Mn | 8h | 6 | Mn | 8h | 2.79 | . |
3 | Mn | 8h | 7 | Mn | 8h | 4.51 | . |
3 | Mn | 8h | 8 | Mn | 8h | 4.51 | . |
3 | Mn | 8h | 9 | Mn | 4a | 5.50 | . |
3 | Mn | 8h | 10 | Mn | 4a | 4.17 | . |
3 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
3 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
3 | Mn | 8h | 13 | Ge | 4b | 3.09 | . |
3 | Mn | 8h | 14 | Ge | 4b | 2.46 | . |
3 | Mn | 8h | 15 | Ge | 4b | 2.46 | . |
3 | Mn | 8h | 16 | Ge | 4b | 3.09 | . |
3 | Mn | 8h | 17 | N | 4c | 1.91 | . |
3 | Mn | 8h | 18 | N | 4c | 1.91 | . |
3 | Mn | 8h | 19 | N | 4c | 4.49 | . |
3 | Mn | 8h | 20 | N | 4c | 4.49 | . |
4 | Mn | 8h | 5 | Mn | 8h | 2.79 | . |
4 | Mn | 8h | 6 | Mn | 8h | 2.79 | . |
4 | Mn | 8h | 7 | Mn | 8h | 4.51 | . |
4 | Mn | 8h | 8 | Mn | 8h | 4.51 | . |
4 | Mn | 8h | 9 | Mn | 4a | 4.17 | . |
4 | Mn | 8h | 10 | Mn | 4a | 5.50 | . |
4 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
4 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
4 | Mn | 8h | 13 | Ge | 4b | 3.09 | . |
4 | Mn | 8h | 14 | Ge | 4b | 2.46 | . |
4 | Mn | 8h | 15 | Ge | 4b | 2.46 | . |
4 | Mn | 8h | 16 | Ge | 4b | 3.09 | . |
4 | Mn | 8h | 17 | N | 4c | 1.91 | . |
4 | Mn | 8h | 18 | N | 4c | 1.91 | . |
4 | Mn | 8h | 19 | N | 4c | 4.49 | . |
4 | Mn | 8h | 20 | N | 4c | 4.49 | . |
5 | Mn | 8h | 6 | Mn | 8h | 3.71 | . |
5 | Mn | 8h | 7 | Mn | 8h | 2.79 | . |
5 | Mn | 8h | 8 | Mn | 8h | 2.79 | . |
5 | Mn | 8h | 9 | Mn | 4a | 2.79 | . |
5 | Mn | 8h | 10 | Mn | 4a | 2.79 | . |
5 | Mn | 8h | 11 | Mn | 4a | 5.50 | . |
5 | Mn | 8h | 12 | Mn | 4a | 4.06 | . |
5 | Mn | 8h | 13 | Ge | 4b | 2.62 | . |
5 | Mn | 8h | 14 | Ge | 4b | 2.62 | . |
5 | Mn | 8h | 15 | Ge | 4b | 4.84 | . |
5 | Mn | 8h | 16 | Ge | 4b | 4.84 | . |
5 | Mn | 8h | 17 | N | 4c | 2.03 | . |
5 | Mn | 8h | 18 | N | 4c | 4.23 | . |
5 | Mn | 8h | 19 | N | 4c | 4.23 | . |
5 | Mn | 8h | 20 | N | 4c | 2.03 | . |
6 | Mn | 8h | 7 | Mn | 8h | 2.79 | . |
6 | Mn | 8h | 8 | Mn | 8h | 2.79 | . |
6 | Mn | 8h | 9 | Mn | 4a | 2.79 | . |
6 | Mn | 8h | 10 | Mn | 4a | 2.79 | . |
6 | Mn | 8h | 11 | Mn | 4a | 4.06 | . |
6 | Mn | 8h | 12 | Mn | 4a | 5.50 | . |
6 | Mn | 8h | 13 | Ge | 4b | 2.62 | . |
6 | Mn | 8h | 14 | Ge | 4b | 2.62 | . |
6 | Mn | 8h | 15 | Ge | 4b | 4.84 | . |
6 | Mn | 8h | 16 | Ge | 4b | 4.84 | . |
6 | Mn | 8h | 17 | N | 4c | 4.23 | . |
6 | Mn | 8h | 18 | N | 4c | 2.03 | . |
6 | Mn | 8h | 19 | N | 4c | 2.03 | . |
6 | Mn | 8h | 20 | N | 4c | 4.23 | . |
7 | Mn | 8h | 8 | Mn | 8h | 2.76 | . |
7 | Mn | 8h | 9 | Mn | 4a | 2.70 | . |
7 | Mn | 8h | 10 | Mn | 4a | 2.70 | . |
7 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
7 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
7 | Mn | 8h | 13 | Ge | 4b | 3.09 | . |
7 | Mn | 8h | 14 | Ge | 4b | 2.46 | . |
7 | Mn | 8h | 15 | Ge | 4b | 2.46 | . |
7 | Mn | 8h | 16 | Ge | 4b | 3.09 | . |
7 | Mn | 8h | 17 | N | 4c | 4.49 | . |
7 | Mn | 8h | 18 | N | 4c | 4.49 | . |
7 | Mn | 8h | 19 | N | 4c | 1.91 | . |
7 | Mn | 8h | 20 | N | 4c | 1.91 | . |
8 | Mn | 8h | 9 | Mn | 4a | 2.70 | . |
8 | Mn | 8h | 10 | Mn | 4a | 2.70 | . |
8 | Mn | 8h | 11 | Mn | 4a | 2.79 | . |
8 | Mn | 8h | 12 | Mn | 4a | 2.79 | . |
8 | Mn | 8h | 13 | Ge | 4b | 3.09 | . |
8 | Mn | 8h | 14 | Ge | 4b | 2.46 | . |
8 | Mn | 8h | 15 | Ge | 4b | 2.46 | . |
8 | Mn | 8h | 16 | Ge | 4b | 3.09 | . |
8 | Mn | 8h | 17 | N | 4c | 4.49 | . |
8 | Mn | 8h | 18 | N | 4c | 4.49 | . |
8 | Mn | 8h | 19 | N | 4c | 1.91 | . |
8 | Mn | 8h | 20 | N | 4c | 1.91 | . |
9 | Mn | 4a | 10 | Mn | 4a | 2.76 | . |
9 | Mn | 4a | 11 | Mn | 4a | 2.79 | . |
9 | Mn | 4a | 12 | Mn | 4a | 2.79 | . |
9 | Mn | 4a | 13 | Ge | 4b | 2.46 | . |
9 | Mn | 4a | 14 | Ge | 4b | 3.09 | . |
9 | Mn | 4a | 15 | Ge | 4b | 3.09 | . |
9 | Mn | 4a | 16 | Ge | 4b | 2.46 | . |
9 | Mn | 4a | 17 | N | 4c | 4.49 | . |
9 | Mn | 4a | 18 | N | 4c | 4.49 | . |
9 | Mn | 4a | 19 | N | 4c | 1.91 | . |
9 | Mn | 4a | 20 | N | 4c | 1.91 | . |
10 | Mn | 4a | 11 | Mn | 4a | 2.79 | . |
10 | Mn | 4a | 12 | Mn | 4a | 2.79 | . |
10 | Mn | 4a | 13 | Ge | 4b | 2.46 | . |
10 | Mn | 4a | 14 | Ge | 4b | 3.09 | . |
10 | Mn | 4a | 15 | Ge | 4b | 3.09 | . |
10 | Mn | 4a | 16 | Ge | 4b | 2.46 | . |
10 | Mn | 4a | 17 | N | 4c | 4.49 | . |
10 | Mn | 4a | 18 | N | 4c | 4.49 | . |
10 | Mn | 4a | 19 | N | 4c | 1.91 | . |
10 | Mn | 4a | 20 | N | 4c | 1.91 | . |
11 | Mn | 4a | 12 | Mn | 4a | 3.71 | . |
11 | Mn | 4a | 13 | Ge | 4b | 4.84 | . |
11 | Mn | 4a | 14 | Ge | 4b | 4.84 | . |
11 | Mn | 4a | 15 | Ge | 4b | 2.62 | . |
11 | Mn | 4a | 16 | Ge | 4b | 2.62 | . |
11 | Mn | 4a | 17 | N | 4c | 4.23 | . |
11 | Mn | 4a | 18 | N | 4c | 2.03 | . |
11 | Mn | 4a | 19 | N | 4c | 2.03 | . |
11 | Mn | 4a | 20 | N | 4c | 4.23 | . |
12 | Mn | 4a | 13 | Ge | 4b | 4.84 | . |
12 | Mn | 4a | 14 | Ge | 4b | 4.84 | . |
12 | Mn | 4a | 15 | Ge | 4b | 2.62 | . |
12 | Mn | 4a | 16 | Ge | 4b | 2.62 | . |
12 | Mn | 4a | 17 | N | 4c | 2.03 | . |
12 | Mn | 4a | 18 | N | 4c | 4.23 | . |
12 | Mn | 4a | 19 | N | 4c | 4.23 | . |
12 | Mn | 4a | 20 | N | 4c | 2.03 | . |
13 | Ge | 4b | 14 | Ge | 4b | 3.71 | . |
13 | Ge | 4b | 15 | Ge | 4b | 5.50 | . |
13 | Ge | 4b | 16 | Ge | 4b | 4.06 | . |
13 | Ge | 4b | 17 | N | 4c | 3.32 | . |
13 | Ge | 4b | 18 | N | 4c | 3.32 | . |
13 | Ge | 4b | 19 | N | 4c | 3.32 | . |
13 | Ge | 4b | 20 | N | 4c | 3.32 | . |
14 | Ge | 4b | 15 | Ge | 4b | 4.06 | . |
14 | Ge | 4b | 16 | Ge | 4b | 5.50 | . |
14 | Ge | 4b | 17 | N | 4c | 3.32 | . |
14 | Ge | 4b | 18 | N | 4c | 3.32 | . |
14 | Ge | 4b | 19 | N | 4c | 3.32 | . |
14 | Ge | 4b | 20 | N | 4c | 3.32 | . |
15 | Ge | 4b | 16 | Ge | 4b | 3.71 | . |
15 | Ge | 4b | 17 | N | 4c | 3.32 | . |
15 | Ge | 4b | 18 | N | 4c | 3.32 | . |
15 | Ge | 4b | 19 | N | 4c | 3.32 | . |
15 | Ge | 4b | 20 | N | 4c | 3.32 | . |
16 | Ge | 4b | 17 | N | 4c | 3.32 | . |
16 | Ge | 4b | 18 | N | 4c | 3.32 | . |
16 | Ge | 4b | 19 | N | 4c | 3.32 | . |
16 | Ge | 4b | 20 | N | 4c | 3.32 | . |
17 | N | 4c | 18 | N | 4c | 3.71 | . |
17 | N | 4c | 19 | N | 4c | 5.50 | . |
17 | N | 4c | 20 | N | 4c | 4.06 | . |
18 | N | 4c | 19 | N | 4c | 4.06 | . |
18 | N | 4c | 20 | N | 4c | 5.50 | . |
19 | N | 4c | 20 | N | 4c | 3.71 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1205588 |