Crystal system |
triclinic |
Space group number |
2 |
Hermann-Mauguin |
P-1 |
Hall |
-P 1 |
Point group |
-1 |
Normalized formula |
Ti(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) |
5.0331 |
b (Å) |
5.3403 |
c (Å) |
7.6846 |
α (deg.) |
78.891 |
β (deg.) |
73.503 |
γ (deg.) |
65.878 |
Volume (Å3) |
180.058 |
Density (g/cm3) |
5.969 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-416.7 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti(MnN)4 |
1 entry 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 |
18.63 μB/cell |
Averaged magnetic moment |
1.03 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.21 T (= 962.9 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 | 2i | 0.585152 | 0.780709 | 0.196752 | -0.00 | . | . |
2 | Ti | 2i | 0.414848 | 0.219291 | 0.803248 | -0.00 | . | . |
3 | Mn | 2i | 0.857908 | 0.688310 | 0.794350 | 1.36 | . | . |
4 | Mn | 2i | 0.142092 | 0.311690 | 0.205650 | 1.36 | . | . |
5 | Mn | 2i | 0.238488 | 0.741508 | 0.967073 | 1.74 | . | . |
6 | Mn | 2i | 0.761512 | 0.258492 | 0.032927 | 1.74 | . | . |
7 | Mn | 2i | 0.038417 | 0.755795 | 0.418249 | 2.33 | . | . |
8 | Mn | 2i | 0.961583 | 0.244205 | 0.581751 | 2.33 | . | . |
9 | Mn | 2i | 0.537512 | 0.258360 | 0.406683 | 2.54 | . | . |
10 | Mn | 2i | 0.462488 | 0.741640 | 0.593317 | 2.54 | . | . |
11 | N | 2i | 0.273514 | 0.005278 | 0.399488 | -0.01 | . | . |
12 | N | 2i | 0.726486 | 0.994722 | 0.600512 | -0.01 | . | . |
13 | N | 2i | 0.815820 | 0.908133 | 0.967858 | -0.01 | . | . |
14 | N | 2i | 0.184180 | 0.091867 | 0.032142 | -0.01 | . | . |
15 | N | 2i | 0.384144 | 0.526544 | 0.189834 | -0.04 | . | . |
16 | N | 2i | 0.615856 | 0.473456 | 0.810166 | -0.04 | . | . |
17 | N | 2i | 0.199989 | 0.458057 | 0.613232 | 0.01 | . | . |
18 | N | 2i | 0.800011 | 0.541943 | 0.386768 | 0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 2i | 2 | Ti | 2i | 3.53 | . |
1 | Ti | 2i | 3 | Mn | 2i | 3.05 | . |
1 | Ti | 2i | 4 | Mn | 2i | 2.80 | . |
1 | Ti | 2i | 5 | Mn | 2i | 2.90 | . |
1 | Ti | 2i | 6 | Mn | 2i | 2.97 | . |
1 | Ti | 2i | 7 | Mn | 2i | 2.84 | . |
1 | Ti | 2i | 8 | Mn | 2i | 3.99 | . |
1 | Ti | 2i | 9 | Mn | 2i | 3.01 | . |
1 | Ti | 2i | 10 | Mn | 2i | 2.92 | . |
1 | Ti | 2i | 11 | N | 2i | 2.03 | . |
1 | Ti | 2i | 12 | N | 2i | 3.84 | . |
1 | Ti | 2i | 13 | N | 2i | 1.98 | . |
1 | Ti | 2i | 14 | N | 2i | 2.52 | . |
1 | Ti | 2i | 15 | N | 2i | 2.01 | . |
1 | Ti | 2i | 16 | N | 2i | 3.60 | . |
1 | Ti | 2i | 17 | N | 2i | 3.75 | . |
1 | Ti | 2i | 18 | N | 2i | 1.99 | . |
2 | Ti | 2i | 3 | Mn | 2i | 2.80 | . |
2 | Ti | 2i | 4 | Mn | 2i | 3.05 | . |
2 | Ti | 2i | 5 | Mn | 2i | 2.97 | . |
2 | Ti | 2i | 6 | Mn | 2i | 2.90 | . |
2 | Ti | 2i | 7 | Mn | 2i | 3.99 | . |
2 | Ti | 2i | 8 | Mn | 2i | 2.84 | . |
2 | Ti | 2i | 9 | Mn | 2i | 2.92 | . |
2 | Ti | 2i | 10 | Mn | 2i | 3.01 | . |
2 | Ti | 2i | 11 | N | 2i | 3.84 | . |
2 | Ti | 2i | 12 | N | 2i | 2.03 | . |
2 | Ti | 2i | 13 | N | 2i | 2.52 | . |
2 | Ti | 2i | 14 | N | 2i | 1.98 | . |
2 | Ti | 2i | 15 | N | 2i | 3.60 | . |
2 | Ti | 2i | 16 | N | 2i | 2.01 | . |
2 | Ti | 2i | 17 | N | 2i | 1.99 | . |
2 | Ti | 2i | 18 | N | 2i | 3.75 | . |
3 | Mn | 2i | 4 | Mn | 2i | 3.72 | . |
3 | Mn | 2i | 5 | Mn | 2i | 2.75 | . |
3 | Mn | 2i | 6 | Mn | 2i | 2.77 | . |
3 | Mn | 2i | 7 | Mn | 2i | 2.77 | . |
3 | Mn | 2i | 8 | Mn | 2i | 2.93 | . |
3 | Mn | 2i | 9 | Mn | 2i | 4.00 | . |
3 | Mn | 2i | 10 | Mn | 2i | 2.75 | . |
3 | Mn | 2i | 11 | N | 2i | 3.71 | . |
3 | Mn | 2i | 12 | N | 2i | 2.02 | . |
3 | Mn | 2i | 13 | N | 2i | 1.85 | . |
3 | Mn | 2i | 14 | N | 2i | 3.37 | . |
3 | Mn | 2i | 15 | N | 2i | 3.50 | . |
3 | Mn | 2i | 16 | N | 2i | 1.95 | . |
3 | Mn | 2i | 17 | N | 2i | 2.00 | . |
3 | Mn | 2i | 18 | N | 2i | 3.49 | . |
4 | Mn | 2i | 5 | Mn | 2i | 2.77 | . |
4 | Mn | 2i | 6 | Mn | 2i | 2.75 | . |
4 | Mn | 2i | 7 | Mn | 2i | 2.93 | . |
4 | Mn | 2i | 8 | Mn | 2i | 2.77 | . |
4 | Mn | 2i | 9 | Mn | 2i | 2.75 | . |
4 | Mn | 2i | 10 | Mn | 2i | 4.00 | . |
4 | Mn | 2i | 11 | N | 2i | 2.02 | . |
4 | Mn | 2i | 12 | N | 2i | 3.71 | . |
4 | Mn | 2i | 13 | N | 2i | 3.37 | . |
4 | Mn | 2i | 14 | N | 2i | 1.85 | . |
4 | Mn | 2i | 15 | N | 2i | 1.95 | . |
4 | Mn | 2i | 16 | N | 2i | 3.50 | . |
4 | Mn | 2i | 17 | N | 2i | 3.49 | . |
4 | Mn | 2i | 18 | N | 2i | 2.00 | . |
5 | Mn | 2i | 6 | Mn | 2i | 2.84 | . |
5 | Mn | 2i | 7 | Mn | 2i | 3.33 | . |
5 | Mn | 2i | 8 | Mn | 2i | 3.76 | . |
5 | Mn | 2i | 9 | Mn | 2i | 4.09 | . |
5 | Mn | 2i | 10 | Mn | 2i | 2.77 | . |
5 | Mn | 2i | 11 | N | 2i | 3.92 | . |
5 | Mn | 2i | 12 | N | 2i | 3.62 | . |
5 | Mn | 2i | 13 | N | 2i | 1.94 | . |
5 | Mn | 2i | 14 | N | 2i | 1.92 | . |
5 | Mn | 2i | 15 | N | 2i | 2.01 | . |
5 | Mn | 2i | 16 | N | 2i | 2.06 | . |
5 | Mn | 2i | 17 | N | 2i | 3.44 | . |
5 | Mn | 2i | 18 | N | 2i | 3.60 | . |
6 | Mn | 2i | 7 | Mn | 2i | 3.76 | . |
6 | Mn | 2i | 8 | Mn | 2i | 3.33 | . |
6 | Mn | 2i | 9 | Mn | 2i | 2.77 | . |
6 | Mn | 2i | 10 | Mn | 2i | 4.09 | . |
6 | Mn | 2i | 11 | N | 2i | 3.62 | . |
6 | Mn | 2i | 12 | N | 2i | 3.92 | . |
6 | Mn | 2i | 13 | N | 2i | 1.92 | . |
6 | Mn | 2i | 14 | N | 2i | 1.94 | . |
6 | Mn | 2i | 15 | N | 2i | 2.06 | . |
6 | Mn | 2i | 16 | N | 2i | 2.01 | . |
6 | Mn | 2i | 17 | N | 2i | 3.60 | . |
6 | Mn | 2i | 18 | N | 2i | 3.44 | . |
7 | Mn | 2i | 8 | Mn | 2i | 2.91 | . |
7 | Mn | 2i | 9 | Mn | 2i | 2.81 | . |
7 | Mn | 2i | 10 | Mn | 2i | 2.80 | . |
7 | Mn | 2i | 11 | N | 2i | 2.08 | . |
7 | Mn | 2i | 12 | N | 2i | 1.96 | . |
7 | Mn | 2i | 13 | N | 2i | 3.78 | . |
7 | Mn | 2i | 14 | N | 2i | 3.22 | . |
7 | Mn | 2i | 15 | N | 2i | 2.23 | . |
7 | Mn | 2i | 16 | N | 2i | 3.62 | . |
7 | Mn | 2i | 17 | N | 2i | 2.04 | . |
7 | Mn | 2i | 18 | N | 2i | 2.05 | . |
8 | Mn | 2i | 9 | Mn | 2i | 2.80 | . |
8 | Mn | 2i | 10 | Mn | 2i | 2.81 | . |
8 | Mn | 2i | 11 | N | 2i | 1.96 | . |
8 | Mn | 2i | 12 | N | 2i | 2.08 | . |
8 | Mn | 2i | 13 | N | 2i | 3.22 | . |
8 | Mn | 2i | 14 | N | 2i | 3.78 | . |
8 | Mn | 2i | 15 | N | 2i | 3.62 | . |
8 | Mn | 2i | 16 | N | 2i | 2.23 | . |
8 | Mn | 2i | 17 | N | 2i | 2.05 | . |
8 | Mn | 2i | 18 | N | 2i | 2.04 | . |
9 | Mn | 2i | 10 | Mn | 2i | 2.97 | . |
9 | Mn | 2i | 11 | N | 2i | 2.27 | . |
9 | Mn | 2i | 12 | N | 2i | 2.00 | . |
9 | Mn | 2i | 13 | N | 2i | 3.80 | . |
9 | Mn | 2i | 14 | N | 2i | 3.60 | . |
9 | Mn | 2i | 15 | N | 2i | 2.08 | . |
9 | Mn | 2i | 16 | N | 2i | 3.68 | . |
9 | Mn | 2i | 17 | N | 2i | 2.05 | . |
9 | Mn | 2i | 18 | N | 2i | 2.34 | . |
10 | Mn | 2i | 11 | N | 2i | 2.00 | . |
10 | Mn | 2i | 12 | N | 2i | 2.27 | . |
10 | Mn | 2i | 13 | N | 2i | 3.60 | . |
10 | Mn | 2i | 14 | N | 2i | 3.80 | . |
10 | Mn | 2i | 15 | N | 2i | 3.68 | . |
10 | Mn | 2i | 16 | N | 2i | 2.08 | . |
10 | Mn | 2i | 17 | N | 2i | 2.34 | . |
10 | Mn | 2i | 18 | N | 2i | 2.05 | . |
11 | N | 2i | 12 | N | 2i | 2.77 | . |
11 | N | 2i | 13 | N | 2i | 3.62 | . |
11 | N | 2i | 14 | N | 2i | 2.90 | . |
11 | N | 2i | 15 | N | 2i | 3.06 | . |
11 | N | 2i | 16 | N | 2i | 4.08 | . |
11 | N | 2i | 17 | N | 2i | 3.02 | . |
11 | N | 2i | 18 | N | 2i | 2.78 | . |
12 | N | 2i | 13 | N | 2i | 2.90 | . |
12 | N | 2i | 14 | N | 2i | 3.62 | . |
12 | N | 2i | 15 | N | 2i | 4.08 | . |
12 | N | 2i | 16 | N | 2i | 3.06 | . |
12 | N | 2i | 17 | N | 2i | 2.78 | . |
12 | N | 2i | 18 | N | 2i | 3.02 | . |
13 | N | 2i | 14 | N | 2i | 2.61 | . |
13 | N | 2i | 15 | N | 2i | 3.45 | . |
13 | N | 2i | 16 | N | 2i | 2.90 | . |
13 | N | 2i | 17 | N | 2i | 3.56 | . |
13 | N | 2i | 18 | N | 2i | 3.43 | . |
14 | N | 2i | 15 | N | 2i | 2.90 | . |
14 | N | 2i | 16 | N | 2i | 3.45 | . |
14 | N | 2i | 17 | N | 2i | 3.43 | . |
14 | N | 2i | 18 | N | 2i | 3.56 | . |
15 | N | 2i | 16 | N | 2i | 2.84 | . |
15 | N | 2i | 17 | N | 2i | 3.11 | . |
15 | N | 2i | 18 | N | 2i | 2.87 | . |
16 | N | 2i | 17 | N | 2i | 2.87 | . |
16 | N | 2i | 18 | N | 2i | 3.11 | . |
17 | N | 2i | 18 | N | 2i | 2.87 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1245741 |