Crystal system |
orthorhombic |
Space group number |
62 |
Hermann-Mauguin |
Pnma |
Hall |
-P 2ac 2n |
Point group |
mmm |
Normalized formula |
TiMnN2 |
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 |
4 |
Structure search |
MP |
a (Å) |
5.9957 |
b (Å) |
4.1240 |
c (Å) |
7.1073 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
175.738 |
Density (g/cm3) |
4.944 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-940.1 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: TiMnN2 |
2 entries found |
Compounds with the same elements: Ti-Mn-N |
3 entries found |
Binary compounds in Ti-Mn system |
2 entries found |
Binary compounds in Ti-N system |
No entries found |
Binary compounds in Mn-N system |
12 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
13.27 μB/cell |
Averaged magnetic moment |
0.83 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.88 T (= 700.3 emu/cm3) |
LMTO-GF calculations (details) | |
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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 | 4c | 0.750000 | 0.589734 | 0.625757 | -0.02 | . | . |
2 | Ti | 4c | 0.250000 | 0.410266 | 0.374243 | -0.02 | . | . |
3 | Ti | 4c | 0.250000 | 0.910266 | 0.125757 | -0.02 | . | . |
4 | Ti | 4c | 0.750000 | 0.089734 | 0.874243 | -0.02 | . | . |
5 | Mn | 4c | 0.750000 | 0.571254 | 0.127767 | 2.82 | . | . |
6 | Mn | 4c | 0.250000 | 0.428746 | 0.872233 | 2.82 | . | . |
7 | Mn | 4c | 0.250000 | 0.928746 | 0.627767 | 2.82 | . | . |
8 | Mn | 4c | 0.750000 | 0.071254 | 0.372233 | 2.82 | . | . |
9 | N | 4c | 0.250000 | 0.582464 | 0.617255 | 0.04 | . | . |
10 | N | 4c | 0.750000 | 0.417536 | 0.382745 | 0.04 | . | . |
11 | N | 4c | 0.750000 | 0.917536 | 0.117255 | 0.04 | . | . |
12 | N | 4c | 0.250000 | 0.082464 | 0.882745 | 0.04 | . | . |
13 | N | 4c | 0.250000 | 0.575583 | 0.131648 | 0.04 | . | . |
14 | N | 4c | 0.750000 | 0.424417 | 0.868352 | 0.04 | . | . |
15 | N | 4c | 0.750000 | 0.924417 | 0.631648 | 0.04 | . | . |
16 | N | 4c | 0.250000 | 0.075583 | 0.368352 | 0.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 4c | 2 | Ti | 4c | 3.57 | . |
1 | Ti | 4c | 3 | Ti | 4c | 4.83 | . |
1 | Ti | 4c | 4 | Ti | 4c | 2.71 | . |
1 | Ti | 4c | 5 | Mn | 4c | 3.54 | . |
1 | Ti | 4c | 6 | Mn | 4c | 3.54 | . |
1 | Ti | 4c | 7 | Mn | 4c | 3.31 | . |
1 | Ti | 4c | 8 | Mn | 4c | 2.68 | . |
1 | Ti | 4c | 9 | N | 4c | 3.00 | . |
1 | Ti | 4c | 10 | N | 4c | 1.87 | . |
1 | Ti | 4c | 11 | N | 4c | 3.75 | . |
1 | Ti | 4c | 12 | N | 4c | 4.06 | . |
1 | Ti | 4c | 13 | N | 4c | 4.62 | . |
1 | Ti | 4c | 14 | N | 4c | 1.85 | . |
1 | Ti | 4c | 15 | N | 4c | 1.38 | . |
1 | Ti | 4c | 16 | N | 4c | 4.04 | . |
2 | Ti | 4c | 3 | Ti | 4c | 2.71 | . |
2 | Ti | 4c | 4 | Ti | 4c | 4.83 | . |
2 | Ti | 4c | 5 | Mn | 4c | 3.54 | . |
2 | Ti | 4c | 6 | Mn | 4c | 3.54 | . |
2 | Ti | 4c | 7 | Mn | 4c | 2.68 | . |
2 | Ti | 4c | 8 | Mn | 4c | 3.31 | . |
2 | Ti | 4c | 9 | N | 4c | 1.87 | . |
2 | Ti | 4c | 10 | N | 4c | 3.00 | . |
2 | Ti | 4c | 11 | N | 4c | 4.06 | . |
2 | Ti | 4c | 12 | N | 4c | 3.75 | . |
2 | Ti | 4c | 13 | N | 4c | 1.85 | . |
2 | Ti | 4c | 14 | N | 4c | 4.62 | . |
2 | Ti | 4c | 15 | N | 4c | 4.04 | . |
2 | Ti | 4c | 16 | N | 4c | 1.38 | . |
3 | Ti | 4c | 4 | Ti | 4c | 3.57 | . |
3 | Ti | 4c | 5 | Mn | 4c | 3.31 | . |
3 | Ti | 4c | 6 | Mn | 4c | 2.68 | . |
3 | Ti | 4c | 7 | Mn | 4c | 3.54 | . |
3 | Ti | 4c | 8 | Mn | 4c | 3.54 | . |
3 | Ti | 4c | 9 | N | 4c | 3.75 | . |
3 | Ti | 4c | 10 | N | 4c | 4.06 | . |
3 | Ti | 4c | 11 | N | 4c | 3.00 | . |
3 | Ti | 4c | 12 | N | 4c | 1.87 | . |
3 | Ti | 4c | 13 | N | 4c | 1.38 | . |
3 | Ti | 4c | 14 | N | 4c | 4.04 | . |
3 | Ti | 4c | 15 | N | 4c | 4.62 | . |
3 | Ti | 4c | 16 | N | 4c | 1.85 | . |
4 | Ti | 4c | 5 | Mn | 4c | 2.68 | . |
4 | Ti | 4c | 6 | Mn | 4c | 3.31 | . |
4 | Ti | 4c | 7 | Mn | 4c | 3.54 | . |
4 | Ti | 4c | 8 | Mn | 4c | 3.54 | . |
4 | Ti | 4c | 9 | N | 4c | 4.06 | . |
4 | Ti | 4c | 10 | N | 4c | 3.75 | . |
4 | Ti | 4c | 11 | N | 4c | 1.87 | . |
4 | Ti | 4c | 12 | N | 4c | 3.00 | . |
4 | Ti | 4c | 13 | N | 4c | 4.04 | . |
4 | Ti | 4c | 14 | N | 4c | 1.38 | . |
4 | Ti | 4c | 15 | N | 4c | 1.85 | . |
4 | Ti | 4c | 16 | N | 4c | 4.62 | . |
5 | Mn | 4c | 6 | Mn | 4c | 3.55 | . |
5 | Mn | 4c | 7 | Mn | 4c | 4.88 | . |
5 | Mn | 4c | 8 | Mn | 4c | 2.70 | . |
5 | Mn | 4c | 9 | N | 4c | 4.59 | . |
5 | Mn | 4c | 10 | N | 4c | 1.92 | . |
5 | Mn | 4c | 11 | N | 4c | 1.43 | . |
5 | Mn | 4c | 12 | N | 4c | 4.01 | . |
5 | Mn | 4c | 13 | N | 4c | 3.00 | . |
5 | Mn | 4c | 14 | N | 4c | 1.94 | . |
5 | Mn | 4c | 15 | N | 4c | 3.82 | . |
5 | Mn | 4c | 16 | N | 4c | 4.01 | . |
6 | Mn | 4c | 7 | Mn | 4c | 2.70 | . |
6 | Mn | 4c | 8 | Mn | 4c | 4.88 | . |
6 | Mn | 4c | 9 | N | 4c | 1.92 | . |
6 | Mn | 4c | 10 | N | 4c | 4.59 | . |
6 | Mn | 4c | 11 | N | 4c | 4.01 | . |
6 | Mn | 4c | 12 | N | 4c | 1.43 | . |
6 | Mn | 4c | 13 | N | 4c | 1.94 | . |
6 | Mn | 4c | 14 | N | 4c | 3.00 | . |
6 | Mn | 4c | 15 | N | 4c | 4.01 | . |
6 | Mn | 4c | 16 | N | 4c | 3.82 | . |
7 | Mn | 4c | 8 | Mn | 4c | 3.55 | . |
7 | Mn | 4c | 9 | N | 4c | 1.43 | . |
7 | Mn | 4c | 10 | N | 4c | 4.01 | . |
7 | Mn | 4c | 11 | N | 4c | 4.59 | . |
7 | Mn | 4c | 12 | N | 4c | 1.92 | . |
7 | Mn | 4c | 13 | N | 4c | 3.82 | . |
7 | Mn | 4c | 14 | N | 4c | 4.01 | . |
7 | Mn | 4c | 15 | N | 4c | 3.00 | . |
7 | Mn | 4c | 16 | N | 4c | 1.94 | . |
8 | Mn | 4c | 9 | N | 4c | 4.01 | . |
8 | Mn | 4c | 10 | N | 4c | 1.43 | . |
8 | Mn | 4c | 11 | N | 4c | 1.92 | . |
8 | Mn | 4c | 12 | N | 4c | 4.59 | . |
8 | Mn | 4c | 13 | N | 4c | 4.01 | . |
8 | Mn | 4c | 14 | N | 4c | 3.82 | . |
8 | Mn | 4c | 15 | N | 4c | 1.94 | . |
8 | Mn | 4c | 16 | N | 4c | 3.00 | . |
9 | N | 4c | 10 | N | 4c | 3.50 | . |
9 | N | 4c | 11 | N | 4c | 4.85 | . |
9 | N | 4c | 12 | N | 4c | 2.80 | . |
9 | N | 4c | 13 | N | 4c | 3.45 | . |
9 | N | 4c | 14 | N | 4c | 3.55 | . |
9 | N | 4c | 15 | N | 4c | 3.31 | . |
9 | N | 4c | 16 | N | 4c | 2.70 | . |
10 | N | 4c | 11 | N | 4c | 2.80 | . |
10 | N | 4c | 12 | N | 4c | 4.85 | . |
10 | N | 4c | 13 | N | 4c | 3.55 | . |
10 | N | 4c | 14 | N | 4c | 3.45 | . |
10 | N | 4c | 15 | N | 4c | 2.70 | . |
10 | N | 4c | 16 | N | 4c | 3.31 | . |
11 | N | 4c | 12 | N | 4c | 3.50 | . |
11 | N | 4c | 13 | N | 4c | 3.31 | . |
11 | N | 4c | 14 | N | 4c | 2.70 | . |
11 | N | 4c | 15 | N | 4c | 3.45 | . |
11 | N | 4c | 16 | N | 4c | 3.55 | . |
12 | N | 4c | 13 | N | 4c | 2.70 | . |
12 | N | 4c | 14 | N | 4c | 3.31 | . |
12 | N | 4c | 15 | N | 4c | 3.55 | . |
12 | N | 4c | 16 | N | 4c | 3.45 | . |
13 | N | 4c | 14 | N | 4c | 3.59 | . |
13 | N | 4c | 15 | N | 4c | 4.87 | . |
13 | N | 4c | 16 | N | 4c | 2.66 | . |
14 | N | 4c | 15 | N | 4c | 2.66 | . |
14 | N | 4c | 16 | N | 4c | 4.87 | . |
15 | N | 4c | 16 | N | 4c | 3.59 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1245699 |