Crystal system |
tetragonal |
Space group number |
122 |
Hermann-Mauguin |
I-42d |
Hall |
I -4 2bw |
Point group |
-42m |
Normalized formula |
MnAlN2 |
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) |
4.4896 |
b (Å) |
4.4896 |
c (Å) |
8.9704 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
180.808 |
Density (g/cm3) |
4.038 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-618.0 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: MnAlN2 |
2 entries found |
Compounds with the same elements: Mn-Al-N |
5 entries found |
Binary compounds in Mn-Al system |
11 entries found |
Binary compounds in Mn-N system |
12 entries found |
Binary compounds in Al-N system |
No entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
15.50 μB/cell |
Averaged magnetic moment |
0.97 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.00 T (= 795.8 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 | 4b | 0.500000 | 0.000000 | 0.250000 | 3.06 | . | . |
2 | Mn | 4b | 0.500000 | 0.500000 | 0.000000 | 3.06 | . | . |
3 | Mn | 4b | 0.000000 | 0.500000 | 0.750000 | 3.06 | . | . |
4 | Mn | 4b | 0.000000 | 0.000000 | 0.500000 | 3.06 | . | . |
5 | Al | 4a | 0.000000 | 0.500000 | 0.250000 | 0.02 | . | . |
6 | Al | 4a | 0.000000 | 0.000000 | 0.000000 | 0.02 | . | . |
7 | Al | 4a | 0.500000 | 0.000000 | 0.750000 | 0.02 | . | . |
8 | Al | 4a | 0.500000 | 0.500000 | 0.500000 | 0.02 | . | . |
9 | N | 8d | 0.235481 | 0.750000 | 0.125000 | 0.02 | . | . |
10 | N | 8d | 0.764519 | 0.250000 | 0.125000 | 0.02 | . | . |
11 | N | 8d | 0.250000 | 0.264519 | 0.375000 | 0.02 | . | . |
12 | N | 8d | 0.750000 | 0.735481 | 0.375000 | 0.02 | . | . |
13 | N | 8d | 0.735481 | 0.250000 | 0.625000 | 0.02 | . | . |
14 | N | 8d | 0.264519 | 0.750000 | 0.625000 | 0.02 | . | . |
15 | N | 8d | 0.750000 | 0.764519 | 0.875000 | 0.02 | . | . |
16 | N | 8d | 0.250000 | 0.235481 | 0.875000 | 0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 4b | 2 | Mn | 4b | 3.17 | . |
1 | Mn | 4b | 3 | Mn | 4b | 5.49 | . |
1 | Mn | 4b | 4 | Mn | 4b | 3.17 | . |
1 | Mn | 4b | 5 | Al | 4a | 3.17 | . |
1 | Mn | 4b | 6 | Al | 4a | 3.17 | . |
1 | Mn | 4b | 7 | Al | 4a | 4.49 | . |
1 | Mn | 4b | 8 | Al | 4a | 3.17 | . |
1 | Mn | 4b | 9 | N | 8d | 1.98 | . |
1 | Mn | 4b | 10 | N | 8d | 1.98 | . |
1 | Mn | 4b | 11 | N | 8d | 1.98 | . |
1 | Mn | 4b | 12 | N | 8d | 1.98 | . |
1 | Mn | 4b | 13 | N | 8d | 3.70 | . |
1 | Mn | 4b | 14 | N | 8d | 3.70 | . |
1 | Mn | 4b | 15 | N | 8d | 3.70 | . |
1 | Mn | 4b | 16 | N | 8d | 3.70 | . |
2 | Mn | 4b | 3 | Mn | 4b | 3.17 | . |
2 | Mn | 4b | 4 | Mn | 4b | 5.49 | . |
2 | Mn | 4b | 5 | Al | 4a | 3.17 | . |
2 | Mn | 4b | 6 | Al | 4a | 3.17 | . |
2 | Mn | 4b | 7 | Al | 4a | 3.17 | . |
2 | Mn | 4b | 8 | Al | 4a | 4.49 | . |
2 | Mn | 4b | 9 | N | 8d | 1.98 | . |
2 | Mn | 4b | 10 | N | 8d | 1.98 | . |
2 | Mn | 4b | 11 | N | 8d | 3.70 | . |
2 | Mn | 4b | 12 | N | 8d | 3.70 | . |
2 | Mn | 4b | 13 | N | 8d | 3.70 | . |
2 | Mn | 4b | 14 | N | 8d | 3.70 | . |
2 | Mn | 4b | 15 | N | 8d | 1.98 | . |
2 | Mn | 4b | 16 | N | 8d | 1.98 | . |
3 | Mn | 4b | 4 | Mn | 4b | 3.17 | . |
3 | Mn | 4b | 5 | Al | 4a | 4.49 | . |
3 | Mn | 4b | 6 | Al | 4a | 3.17 | . |
3 | Mn | 4b | 7 | Al | 4a | 3.17 | . |
3 | Mn | 4b | 8 | Al | 4a | 3.17 | . |
3 | Mn | 4b | 9 | N | 8d | 3.70 | . |
3 | Mn | 4b | 10 | N | 8d | 3.70 | . |
3 | Mn | 4b | 11 | N | 8d | 3.70 | . |
3 | Mn | 4b | 12 | N | 8d | 3.70 | . |
3 | Mn | 4b | 13 | N | 8d | 1.98 | . |
3 | Mn | 4b | 14 | N | 8d | 1.98 | . |
3 | Mn | 4b | 15 | N | 8d | 1.98 | . |
3 | Mn | 4b | 16 | N | 8d | 1.98 | . |
4 | Mn | 4b | 5 | Al | 4a | 3.17 | . |
4 | Mn | 4b | 6 | Al | 4a | 4.49 | . |
4 | Mn | 4b | 7 | Al | 4a | 3.17 | . |
4 | Mn | 4b | 8 | Al | 4a | 3.17 | . |
4 | Mn | 4b | 9 | N | 8d | 3.70 | . |
4 | Mn | 4b | 10 | N | 8d | 3.70 | . |
4 | Mn | 4b | 11 | N | 8d | 1.98 | . |
4 | Mn | 4b | 12 | N | 8d | 1.98 | . |
4 | Mn | 4b | 13 | N | 8d | 1.98 | . |
4 | Mn | 4b | 14 | N | 8d | 1.98 | . |
4 | Mn | 4b | 15 | N | 8d | 3.70 | . |
4 | Mn | 4b | 16 | N | 8d | 3.70 | . |
5 | Al | 4a | 6 | Al | 4a | 3.17 | . |
5 | Al | 4a | 7 | Al | 4a | 5.49 | . |
5 | Al | 4a | 8 | Al | 4a | 3.17 | . |
5 | Al | 4a | 9 | N | 8d | 1.91 | . |
5 | Al | 4a | 10 | N | 8d | 1.91 | . |
5 | Al | 4a | 11 | N | 8d | 1.91 | . |
5 | Al | 4a | 12 | N | 8d | 1.91 | . |
5 | Al | 4a | 13 | N | 8d | 3.74 | . |
5 | Al | 4a | 14 | N | 8d | 3.74 | . |
5 | Al | 4a | 15 | N | 8d | 3.74 | . |
5 | Al | 4a | 16 | N | 8d | 3.74 | . |
6 | Al | 4a | 7 | Al | 4a | 3.17 | . |
6 | Al | 4a | 8 | Al | 4a | 5.49 | . |
6 | Al | 4a | 9 | N | 8d | 1.91 | . |
6 | Al | 4a | 10 | N | 8d | 1.91 | . |
6 | Al | 4a | 11 | N | 8d | 3.74 | . |
6 | Al | 4a | 12 | N | 8d | 3.74 | . |
6 | Al | 4a | 13 | N | 8d | 3.74 | . |
6 | Al | 4a | 14 | N | 8d | 3.74 | . |
6 | Al | 4a | 15 | N | 8d | 1.91 | . |
6 | Al | 4a | 16 | N | 8d | 1.91 | . |
7 | Al | 4a | 8 | Al | 4a | 3.17 | . |
7 | Al | 4a | 9 | N | 8d | 3.74 | . |
7 | Al | 4a | 10 | N | 8d | 3.74 | . |
7 | Al | 4a | 11 | N | 8d | 3.74 | . |
7 | Al | 4a | 12 | N | 8d | 3.74 | . |
7 | Al | 4a | 13 | N | 8d | 1.91 | . |
7 | Al | 4a | 14 | N | 8d | 1.91 | . |
7 | Al | 4a | 15 | N | 8d | 1.91 | . |
7 | Al | 4a | 16 | N | 8d | 1.91 | . |
8 | Al | 4a | 9 | N | 8d | 3.74 | . |
8 | Al | 4a | 10 | N | 8d | 3.74 | . |
8 | Al | 4a | 11 | N | 8d | 1.91 | . |
8 | Al | 4a | 12 | N | 8d | 1.91 | . |
8 | Al | 4a | 13 | N | 8d | 1.91 | . |
8 | Al | 4a | 14 | N | 8d | 1.91 | . |
8 | Al | 4a | 15 | N | 8d | 3.74 | . |
8 | Al | 4a | 16 | N | 8d | 3.74 | . |
9 | N | 8d | 10 | N | 8d | 3.08 | . |
9 | N | 8d | 11 | N | 8d | 3.13 | . |
9 | N | 8d | 12 | N | 8d | 3.13 | . |
9 | N | 8d | 13 | N | 8d | 5.49 | . |
9 | N | 8d | 14 | N | 8d | 4.49 | . |
9 | N | 8d | 15 | N | 8d | 3.13 | . |
9 | N | 8d | 16 | N | 8d | 3.13 | . |
10 | N | 8d | 11 | N | 8d | 3.13 | . |
10 | N | 8d | 12 | N | 8d | 3.13 | . |
10 | N | 8d | 13 | N | 8d | 4.49 | . |
10 | N | 8d | 14 | N | 8d | 5.49 | . |
10 | N | 8d | 15 | N | 8d | 3.13 | . |
10 | N | 8d | 16 | N | 8d | 3.13 | . |
11 | N | 8d | 12 | N | 8d | 3.08 | . |
11 | N | 8d | 13 | N | 8d | 3.13 | . |
11 | N | 8d | 14 | N | 8d | 3.13 | . |
11 | N | 8d | 15 | N | 8d | 5.49 | . |
11 | N | 8d | 16 | N | 8d | 4.49 | . |
12 | N | 8d | 13 | N | 8d | 3.13 | . |
12 | N | 8d | 14 | N | 8d | 3.13 | . |
12 | N | 8d | 15 | N | 8d | 4.49 | . |
12 | N | 8d | 16 | N | 8d | 5.49 | . |
13 | N | 8d | 14 | N | 8d | 3.08 | . |
13 | N | 8d | 15 | N | 8d | 3.13 | . |
13 | N | 8d | 16 | N | 8d | 3.13 | . |
14 | N | 8d | 15 | N | 8d | 3.13 | . |
14 | N | 8d | 16 | N | 8d | 3.13 | . |
15 | N | 8d | 16 | N | 8d | 3.08 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1245566 |