Crystal system |
hexagonal |
Space group number |
176 |
Hermann-Mauguin |
P6_3/m |
Hall |
-P 6c |
Point group |
6/m |
Normalized formula |
Cr3N4 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
14 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
7.6566 |
b (Å) |
7.6566 |
c (Å) |
2.7371 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
138.963 |
Density (g/cm3) |
5.067 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-319.9 meV/atom |
Formation energy above hull |
134.9 meV/atom |
Compounds with the same formula: Cr3N4 |
9 entries found |
Compounds with the same elements: Cr-N |
85 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
2.76 μB/cell |
Averaged magnetic moment |
0.20 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.23 T (= 183.0 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 | Cr | 6h | 0.331253 | 0.471793 | 0.250000 | 0.43 | . | . |
2 | Cr | 6h | 0.528207 | 0.859460 | 0.250000 | 0.43 | . | . |
3 | Cr | 6h | 0.140540 | 0.668747 | 0.250000 | 0.43 | . | . |
4 | Cr | 6h | 0.668747 | 0.528207 | 0.750000 | 0.43 | . | . |
5 | Cr | 6h | 0.471793 | 0.140540 | 0.750000 | 0.43 | . | . |
6 | Cr | 6h | 0.859460 | 0.331253 | 0.750000 | 0.43 | . | . |
7 | N | 6h | 0.045876 | 0.359999 | 0.250000 | -0.05 | . | . |
8 | N | 6h | 0.640001 | 0.685877 | 0.250000 | -0.05 | . | . |
9 | N | 6h | 0.314123 | 0.954124 | 0.250000 | -0.05 | . | . |
10 | N | 6h | 0.954124 | 0.640001 | 0.750000 | -0.05 | . | . |
11 | N | 6h | 0.359999 | 0.314123 | 0.750000 | -0.05 | . | . |
12 | N | 6h | 0.685877 | 0.045876 | 0.750000 | -0.05 | . | . |
13 | N | 2d | 0.666667 | 0.333333 | 0.250000 | -0.03 | . | . |
14 | N | 2d | 0.333333 | 0.666667 | 0.750000 | -0.03 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 6h | 2 | Cr | 6h | 2.57 | . |
1 | Cr | 6h | 3 | Cr | 6h | 2.57 | . |
1 | Cr | 6h | 4 | Cr | 6h | 2.76 | . |
1 | Cr | 6h | 5 | Cr | 6h | 3.49 | . |
1 | Cr | 6h | 6 | Cr | 6h | 3.49 | . |
1 | Cr | 6h | 7 | N | 6h | 1.91 | . |
1 | Cr | 6h | 8 | N | 6h | 2.10 | . |
1 | Cr | 6h | 9 | N | 6h | 3.76 | . |
1 | Cr | 6h | 10 | N | 6h | 3.95 | . |
1 | Cr | 6h | 11 | N | 6h | 1.91 | . |
1 | Cr | 6h | 12 | N | 6h | 4.08 | . |
1 | Cr | 6h | 13 | N | 2d | 3.23 | . |
1 | Cr | 6h | 14 | N | 2d | 2.02 | . |
2 | Cr | 6h | 3 | Cr | 6h | 2.57 | . |
2 | Cr | 6h | 4 | Cr | 6h | 3.49 | . |
2 | Cr | 6h | 5 | Cr | 6h | 2.76 | . |
2 | Cr | 6h | 6 | Cr | 6h | 3.49 | . |
2 | Cr | 6h | 7 | N | 6h | 3.76 | . |
2 | Cr | 6h | 8 | N | 6h | 1.91 | . |
2 | Cr | 6h | 9 | N | 6h | 2.10 | . |
2 | Cr | 6h | 10 | N | 6h | 4.08 | . |
2 | Cr | 6h | 11 | N | 6h | 3.95 | . |
2 | Cr | 6h | 12 | N | 6h | 1.91 | . |
2 | Cr | 6h | 13 | N | 2d | 3.23 | . |
2 | Cr | 6h | 14 | N | 2d | 2.02 | . |
3 | Cr | 6h | 4 | Cr | 6h | 3.49 | . |
3 | Cr | 6h | 5 | Cr | 6h | 3.49 | . |
3 | Cr | 6h | 6 | Cr | 6h | 2.76 | . |
3 | Cr | 6h | 7 | N | 6h | 2.10 | . |
3 | Cr | 6h | 8 | N | 6h | 3.76 | . |
3 | Cr | 6h | 9 | N | 6h | 1.91 | . |
3 | Cr | 6h | 10 | N | 6h | 1.91 | . |
3 | Cr | 6h | 11 | N | 6h | 4.08 | . |
3 | Cr | 6h | 12 | N | 6h | 3.95 | . |
3 | Cr | 6h | 13 | N | 2d | 3.23 | . |
3 | Cr | 6h | 14 | N | 2d | 2.02 | . |
4 | Cr | 6h | 5 | Cr | 6h | 2.57 | . |
4 | Cr | 6h | 6 | Cr | 6h | 2.57 | . |
4 | Cr | 6h | 7 | N | 6h | 3.95 | . |
4 | Cr | 6h | 8 | N | 6h | 1.91 | . |
4 | Cr | 6h | 9 | N | 6h | 4.08 | . |
4 | Cr | 6h | 10 | N | 6h | 1.91 | . |
4 | Cr | 6h | 11 | N | 6h | 2.10 | . |
4 | Cr | 6h | 12 | N | 6h | 3.76 | . |
4 | Cr | 6h | 13 | N | 2d | 2.02 | . |
4 | Cr | 6h | 14 | N | 2d | 3.23 | . |
5 | Cr | 6h | 6 | Cr | 6h | 2.57 | . |
5 | Cr | 6h | 7 | N | 6h | 4.08 | . |
5 | Cr | 6h | 8 | N | 6h | 3.95 | . |
5 | Cr | 6h | 9 | N | 6h | 1.91 | . |
5 | Cr | 6h | 10 | N | 6h | 3.76 | . |
5 | Cr | 6h | 11 | N | 6h | 1.91 | . |
5 | Cr | 6h | 12 | N | 6h | 2.10 | . |
5 | Cr | 6h | 13 | N | 2d | 2.02 | . |
5 | Cr | 6h | 14 | N | 2d | 3.23 | . |
6 | Cr | 6h | 7 | N | 6h | 1.91 | . |
6 | Cr | 6h | 8 | N | 6h | 4.08 | . |
6 | Cr | 6h | 9 | N | 6h | 3.95 | . |
6 | Cr | 6h | 10 | N | 6h | 2.10 | . |
6 | Cr | 6h | 11 | N | 6h | 3.76 | . |
6 | Cr | 6h | 12 | N | 6h | 1.91 | . |
6 | Cr | 6h | 13 | N | 2d | 2.02 | . |
6 | Cr | 6h | 14 | N | 2d | 3.23 | . |
7 | N | 6h | 8 | N | 6h | 3.95 | . |
7 | N | 6h | 9 | N | 6h | 3.95 | . |
7 | N | 6h | 10 | N | 6h | 2.91 | . |
7 | N | 6h | 11 | N | 6h | 2.94 | . |
7 | N | 6h | 12 | N | 6h | 2.94 | . |
7 | N | 6h | 13 | N | 2d | 2.81 | . |
7 | N | 6h | 14 | N | 2d | 2.66 | . |
8 | N | 6h | 9 | N | 6h | 3.95 | . |
8 | N | 6h | 10 | N | 6h | 2.94 | . |
8 | N | 6h | 11 | N | 6h | 2.91 | . |
8 | N | 6h | 12 | N | 6h | 2.94 | . |
8 | N | 6h | 13 | N | 2d | 2.81 | . |
8 | N | 6h | 14 | N | 2d | 2.66 | . |
9 | N | 6h | 10 | N | 6h | 2.94 | . |
9 | N | 6h | 11 | N | 6h | 2.94 | . |
9 | N | 6h | 12 | N | 6h | 2.91 | . |
9 | N | 6h | 13 | N | 2d | 2.81 | . |
9 | N | 6h | 14 | N | 2d | 2.66 | . |
10 | N | 6h | 11 | N | 6h | 3.95 | . |
10 | N | 6h | 12 | N | 6h | 3.95 | . |
10 | N | 6h | 13 | N | 2d | 2.66 | . |
10 | N | 6h | 14 | N | 2d | 2.81 | . |
11 | N | 6h | 12 | N | 6h | 3.95 | . |
11 | N | 6h | 13 | N | 2d | 2.66 | . |
11 | N | 6h | 14 | N | 2d | 2.81 | . |
12 | N | 6h | 13 | N | 2d | 2.66 | . |
12 | N | 6h | 14 | N | 2d | 2.81 | . |
13 | N | 2d | 14 | N | 2d | 4.63 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1014345 |