Crystal system |
triclinic |
Space group number |
2 |
Hermann-Mauguin |
P-1 |
Hall |
-P 1 |
Point group |
-1 |
Normalized formula |
Zr(MnN)4 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
18 |
The number of inequivalent sites per unit cell |
9 |
Structure search |
MP |
a (Å) |
5.1619 |
b (Å) |
5.5742 |
c (Å) |
7.3517 |
α (deg.) |
80.481 |
β (deg.) |
87.159 |
γ (deg.) |
67.839 |
Volume (Å3) |
193.192 |
Density (g/cm3) |
6.309 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-447.2 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Zr(MnN)4 |
1 entry found |
Compounds with the same elements: Zr-Mn-N |
3 entries found |
Binary compounds in Zr-Mn system |
7 entries found |
Binary compounds in Zr-N system |
17 entries found |
Binary compounds in Mn-N system |
12 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
14.68 μB/cell |
Averaged magnetic moment |
0.82 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.89 T (= 708.2 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 | Zr | 2i | 0.748242 | 0.441364 | 0.171864 | -0.04 | . | . |
2 | Zr | 2i | 0.251758 | 0.558636 | 0.828136 | -0.04 | . | . |
3 | Mn | 2i | 0.715552 | 0.082057 | 0.755810 | 1.01 | . | . |
4 | Mn | 2i | 0.284448 | 0.917943 | 0.244190 | 1.01 | . | . |
5 | Mn | 2i | 0.766830 | 0.918696 | 0.059830 | 1.05 | . | . |
6 | Mn | 2i | 0.233170 | 0.081304 | 0.940170 | 1.05 | . | . |
7 | Mn | 2i | 0.750644 | 0.945468 | 0.415640 | 1.85 | . | . |
8 | Mn | 2i | 0.249356 | 0.054532 | 0.584360 | 1.85 | . | . |
9 | Mn | 2i | 0.251817 | 0.493134 | 0.401470 | 2.53 | . | . |
10 | Mn | 2i | 0.748183 | 0.506866 | 0.598530 | 2.53 | . | . |
11 | N | 2i | 0.005355 | 0.724087 | 0.413703 | 0.01 | . | . |
12 | N | 2i | 0.994645 | 0.275913 | 0.586297 | 0.01 | . | . |
13 | N | 2i | 0.961700 | 0.235670 | 0.975598 | -0.02 | . | . |
14 | N | 2i | 0.038300 | 0.764330 | 0.024402 | -0.02 | . | . |
15 | N | 2i | 0.496633 | 0.695921 | 0.205820 | -0.03 | . | . |
16 | N | 2i | 0.503367 | 0.304079 | 0.794180 | -0.03 | . | . |
17 | N | 2i | 0.534600 | 0.745841 | 0.613193 | -0.04 | . | . |
18 | N | 2i | 0.465400 | 0.254159 | 0.386807 | -0.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 2i | 2 | Zr | 2i | 3.49 | . |
1 | Zr | 2i | 3 | Mn | 2i | 3.97 | . |
1 | Zr | 2i | 4 | Mn | 2i | 2.94 | . |
1 | Zr | 2i | 5 | Mn | 2i | 2.69 | . |
1 | Zr | 2i | 6 | Mn | 2i | 3.18 | . |
1 | Zr | 2i | 7 | Mn | 2i | 3.03 | . |
1 | Zr | 2i | 8 | Mn | 2i | 3.87 | . |
1 | Zr | 2i | 9 | Mn | 2i | 2.95 | . |
1 | Zr | 2i | 10 | Mn | 2i | 3.22 | . |
1 | Zr | 2i | 11 | N | 2i | 3.19 | . |
1 | Zr | 2i | 12 | N | 2i | 3.21 | . |
1 | Zr | 2i | 13 | N | 2i | 2.01 | . |
1 | Zr | 2i | 14 | N | 2i | 2.81 | . |
1 | Zr | 2i | 15 | N | 2i | 1.57 | . |
1 | Zr | 2i | 16 | N | 2i | 3.42 | . |
1 | Zr | 2i | 17 | N | 2i | 3.83 | . |
1 | Zr | 2i | 18 | N | 2i | 2.47 | . |
2 | Zr | 2i | 3 | Mn | 2i | 2.94 | . |
2 | Zr | 2i | 4 | Mn | 2i | 3.97 | . |
2 | Zr | 2i | 5 | Mn | 2i | 3.18 | . |
2 | Zr | 2i | 6 | Mn | 2i | 2.69 | . |
2 | Zr | 2i | 7 | Mn | 2i | 3.87 | . |
2 | Zr | 2i | 8 | Mn | 2i | 3.03 | . |
2 | Zr | 2i | 9 | Mn | 2i | 3.22 | . |
2 | Zr | 2i | 10 | Mn | 2i | 2.95 | . |
2 | Zr | 2i | 11 | N | 2i | 3.21 | . |
2 | Zr | 2i | 12 | N | 2i | 3.19 | . |
2 | Zr | 2i | 13 | N | 2i | 2.81 | . |
2 | Zr | 2i | 14 | N | 2i | 2.01 | . |
2 | Zr | 2i | 15 | N | 2i | 3.42 | . |
2 | Zr | 2i | 16 | N | 2i | 1.57 | . |
2 | Zr | 2i | 17 | N | 2i | 2.47 | . |
2 | Zr | 2i | 18 | N | 2i | 3.83 | . |
3 | Mn | 2i | 4 | Mn | 2i | 4.28 | . |
3 | Mn | 2i | 5 | Mn | 2i | 2.26 | . |
3 | Mn | 2i | 6 | Mn | 2i | 2.78 | . |
3 | Mn | 2i | 7 | Mn | 2i | 2.71 | . |
3 | Mn | 2i | 8 | Mn | 2i | 2.84 | . |
3 | Mn | 2i | 9 | Mn | 2i | 3.50 | . |
3 | Mn | 2i | 10 | Mn | 2i | 2.52 | . |
3 | Mn | 2i | 11 | N | 2i | 3.40 | . |
3 | Mn | 2i | 12 | N | 2i | 2.31 | . |
3 | Mn | 2i | 13 | N | 2i | 2.54 | . |
3 | Mn | 2i | 14 | N | 2i | 2.60 | . |
3 | Mn | 2i | 15 | N | 2i | 4.00 | . |
3 | Mn | 2i | 16 | N | 2i | 1.37 | . |
3 | Mn | 2i | 17 | N | 2i | 2.75 | . |
3 | Mn | 2i | 18 | N | 2i | 2.92 | . |
4 | Mn | 2i | 5 | Mn | 2i | 2.78 | . |
4 | Mn | 2i | 6 | Mn | 2i | 2.26 | . |
4 | Mn | 2i | 7 | Mn | 2i | 2.84 | . |
4 | Mn | 2i | 8 | Mn | 2i | 2.71 | . |
4 | Mn | 2i | 9 | Mn | 2i | 2.52 | . |
4 | Mn | 2i | 10 | Mn | 2i | 3.50 | . |
4 | Mn | 2i | 11 | N | 2i | 2.31 | . |
4 | Mn | 2i | 12 | N | 2i | 3.40 | . |
4 | Mn | 2i | 13 | N | 2i | 2.60 | . |
4 | Mn | 2i | 14 | N | 2i | 2.54 | . |
4 | Mn | 2i | 15 | N | 2i | 1.37 | . |
4 | Mn | 2i | 16 | N | 2i | 4.00 | . |
4 | Mn | 2i | 17 | N | 2i | 2.92 | . |
4 | Mn | 2i | 18 | N | 2i | 2.75 | . |
5 | Mn | 2i | 6 | Mn | 2i | 2.70 | . |
5 | Mn | 2i | 7 | Mn | 2i | 2.64 | . |
5 | Mn | 2i | 8 | Mn | 2i | 4.30 | . |
5 | Mn | 2i | 9 | Mn | 2i | 3.52 | . |
5 | Mn | 2i | 10 | Mn | 2i | 4.25 | . |
5 | Mn | 2i | 11 | N | 2i | 2.80 | . |
5 | Mn | 2i | 12 | N | 2i | 4.07 | . |
5 | Mn | 2i | 13 | N | 2i | 2.33 | . |
5 | Mn | 2i | 14 | N | 2i | 1.38 | . |
5 | Mn | 2i | 15 | N | 2i | 2.31 | . |
5 | Mn | 2i | 16 | N | 2i | 2.64 | . |
5 | Mn | 2i | 17 | N | 2i | 3.93 | . |
5 | Mn | 2i | 18 | N | 2i | 3.26 | . |
6 | Mn | 2i | 7 | Mn | 2i | 4.30 | . |
6 | Mn | 2i | 8 | Mn | 2i | 2.64 | . |
6 | Mn | 2i | 9 | Mn | 2i | 4.25 | . |
6 | Mn | 2i | 10 | Mn | 2i | 3.52 | . |
6 | Mn | 2i | 11 | N | 2i | 4.07 | . |
6 | Mn | 2i | 12 | N | 2i | 2.80 | . |
6 | Mn | 2i | 13 | N | 2i | 1.38 | . |
6 | Mn | 2i | 14 | N | 2i | 2.33 | . |
6 | Mn | 2i | 15 | N | 2i | 2.64 | . |
6 | Mn | 2i | 16 | N | 2i | 2.31 | . |
6 | Mn | 2i | 17 | N | 2i | 3.26 | . |
6 | Mn | 2i | 18 | N | 2i | 3.93 | . |
7 | Mn | 2i | 8 | Mn | 2i | 2.71 | . |
7 | Mn | 2i | 9 | Mn | 2i | 2.86 | . |
7 | Mn | 2i | 10 | Mn | 2i | 2.59 | . |
7 | Mn | 2i | 11 | N | 2i | 1.43 | . |
7 | Mn | 2i | 12 | N | 2i | 3.04 | . |
7 | Mn | 2i | 13 | N | 2i | 3.68 | . |
7 | Mn | 2i | 14 | N | 2i | 3.30 | . |
7 | Mn | 2i | 15 | N | 2i | 2.88 | . |
7 | Mn | 2i | 16 | N | 2i | 3.60 | . |
7 | Mn | 2i | 17 | N | 2i | 2.20 | . |
7 | Mn | 2i | 18 | N | 2i | 1.78 | . |
8 | Mn | 2i | 9 | Mn | 2i | 2.59 | . |
8 | Mn | 2i | 10 | Mn | 2i | 2.86 | . |
8 | Mn | 2i | 11 | N | 2i | 3.04 | . |
8 | Mn | 2i | 12 | N | 2i | 1.43 | . |
8 | Mn | 2i | 13 | N | 2i | 3.30 | . |
8 | Mn | 2i | 14 | N | 2i | 3.68 | . |
8 | Mn | 2i | 15 | N | 2i | 3.60 | . |
8 | Mn | 2i | 16 | N | 2i | 2.88 | . |
8 | Mn | 2i | 17 | N | 2i | 1.78 | . |
8 | Mn | 2i | 18 | N | 2i | 2.20 | . |
9 | Mn | 2i | 10 | Mn | 2i | 2.89 | . |
9 | Mn | 2i | 11 | N | 2i | 1.44 | . |
9 | Mn | 2i | 12 | N | 2i | 2.36 | . |
9 | Mn | 2i | 13 | N | 2i | 4.20 | . |
9 | Mn | 2i | 14 | N | 2i | 2.97 | . |
9 | Mn | 2i | 15 | N | 2i | 2.30 | . |
9 | Mn | 2i | 16 | N | 2i | 3.08 | . |
9 | Mn | 2i | 17 | N | 2i | 3.01 | . |
9 | Mn | 2i | 18 | N | 2i | 1.39 | . |
10 | Mn | 2i | 11 | N | 2i | 2.36 | . |
10 | Mn | 2i | 12 | N | 2i | 1.44 | . |
10 | Mn | 2i | 13 | N | 2i | 2.97 | . |
10 | Mn | 2i | 14 | N | 2i | 4.20 | . |
10 | Mn | 2i | 15 | N | 2i | 3.08 | . |
10 | Mn | 2i | 16 | N | 2i | 2.30 | . |
10 | Mn | 2i | 17 | N | 2i | 1.39 | . |
10 | Mn | 2i | 18 | N | 2i | 3.01 | . |
11 | N | 2i | 12 | N | 2i | 2.63 | . |
11 | N | 2i | 13 | N | 2i | 3.89 | . |
11 | N | 2i | 14 | N | 2i | 2.84 | . |
11 | N | 2i | 15 | N | 2i | 2.86 | . |
11 | N | 2i | 16 | N | 2i | 3.73 | . |
11 | N | 2i | 17 | N | 2i | 2.75 | . |
11 | N | 2i | 18 | N | 2i | 2.82 | . |
12 | N | 2i | 13 | N | 2i | 2.84 | . |
12 | N | 2i | 14 | N | 2i | 3.89 | . |
12 | N | 2i | 15 | N | 2i | 3.73 | . |
12 | N | 2i | 16 | N | 2i | 2.86 | . |
12 | N | 2i | 17 | N | 2i | 2.82 | . |
12 | N | 2i | 18 | N | 2i | 2.75 | . |
13 | N | 2i | 14 | N | 2i | 2.47 | . |
13 | N | 2i | 15 | N | 2i | 3.41 | . |
13 | N | 2i | 16 | N | 2i | 2.64 | . |
13 | N | 2i | 17 | N | 2i | 3.66 | . |
13 | N | 2i | 18 | N | 2i | 3.85 | . |
14 | N | 2i | 15 | N | 2i | 2.64 | . |
14 | N | 2i | 16 | N | 2i | 3.41 | . |
14 | N | 2i | 17 | N | 2i | 3.85 | . |
14 | N | 2i | 18 | N | 2i | 3.66 | . |
15 | N | 2i | 16 | N | 2i | 4.01 | . |
15 | N | 2i | 17 | N | 2i | 3.08 | . |
15 | N | 2i | 18 | N | 2i | 2.66 | . |
16 | N | 2i | 17 | N | 2i | 2.66 | . |
16 | N | 2i | 18 | N | 2i | 3.08 | . |
17 | N | 2i | 18 | N | 2i | 2.94 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1246691 |