Crystal system |
hexagonal |
Space group number |
180 |
Hermann-Mauguin |
P6_222 |
Hall |
P 62 2c (0 0 1) |
Point group |
622 |
Normalized formula |
CrN2 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
9 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
3.9614 |
b (Å) |
3.9614 |
c (Å) |
7.7637 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
105.512 |
Density (g/cm3) |
3.778 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
338.2 meV/atom |
Formation energy above hull |
692.0 meV/atom |
Compounds with the same formula: CrN2 |
63 entries found |
Compounds with the same elements: Cr-N |
85 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
7.01 μB/cell |
Averaged magnetic moment |
0.78 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.77 T (= 612.7 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 | Cr | 3d | 0.500000 | 0.500000 | 0.833333 | 2.04 | . | . |
2 | Cr | 3d | 0.500000 | 0.000000 | 0.500000 | 2.04 | . | . |
3 | Cr | 3d | 0.000000 | 0.500000 | 0.166667 | 2.04 | . | . |
4 | N | 6i | 0.406328 | 0.593672 | 0.333333 | -0.11 | . | . |
5 | N | 6i | 0.406328 | 0.812657 | 0.000000 | -0.11 | . | . |
6 | N | 6i | 0.187343 | 0.593672 | 0.666667 | -0.11 | . | . |
7 | N | 6i | 0.593672 | 0.406328 | 0.333333 | -0.11 | . | . |
8 | N | 6i | 0.593672 | 0.187343 | 0.000000 | -0.11 | . | . |
9 | N | 6i | 0.812657 | 0.406328 | 0.666667 | -0.11 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 3d | 2 | Cr | 3d | 3.26 | . |
1 | Cr | 3d | 3 | Cr | 3d | 3.26 | . |
1 | Cr | 3d | 4 | N | 6i | 3.93 | . |
1 | Cr | 3d | 5 | N | 6i | 1.95 | . |
1 | Cr | 3d | 6 | N | 6i | 1.95 | . |
1 | Cr | 3d | 7 | N | 6i | 3.93 | . |
1 | Cr | 3d | 8 | N | 6i | 1.95 | . |
1 | Cr | 3d | 9 | N | 6i | 1.95 | . |
2 | Cr | 3d | 3 | Cr | 3d | 3.26 | . |
2 | Cr | 3d | 4 | N | 6i | 1.95 | . |
2 | Cr | 3d | 5 | N | 6i | 3.93 | . |
2 | Cr | 3d | 6 | N | 6i | 1.95 | . |
2 | Cr | 3d | 7 | N | 6i | 1.95 | . |
2 | Cr | 3d | 8 | N | 6i | 3.93 | . |
2 | Cr | 3d | 9 | N | 6i | 1.95 | . |
3 | Cr | 3d | 4 | N | 6i | 1.95 | . |
3 | Cr | 3d | 5 | N | 6i | 1.95 | . |
3 | Cr | 3d | 6 | N | 6i | 3.93 | . |
3 | Cr | 3d | 7 | N | 6i | 1.95 | . |
3 | Cr | 3d | 8 | N | 6i | 1.95 | . |
3 | Cr | 3d | 9 | N | 6i | 3.93 | . |
4 | N | 6i | 5 | N | 6i | 2.73 | . |
4 | N | 6i | 6 | N | 6i | 2.73 | . |
4 | N | 6i | 7 | N | 6i | 1.29 | . |
4 | N | 6i | 8 | N | 6i | 3.32 | . |
4 | N | 6i | 9 | N | 6i | 3.32 | . |
5 | N | 6i | 6 | N | 6i | 2.73 | . |
5 | N | 6i | 7 | N | 6i | 3.32 | . |
5 | N | 6i | 8 | N | 6i | 1.29 | . |
5 | N | 6i | 9 | N | 6i | 3.32 | . |
6 | N | 6i | 7 | N | 6i | 3.32 | . |
6 | N | 6i | 8 | N | 6i | 3.32 | . |
6 | N | 6i | 9 | N | 6i | 1.29 | . |
7 | N | 6i | 8 | N | 6i | 2.73 | . |
7 | N | 6i | 9 | N | 6i | 2.73 | . |
8 | N | 6i | 9 | N | 6i | 2.73 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1015612 |