Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Cr3N2 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
10 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
3.0635 |
b (Å) |
3.0635 |
c (Å) |
12.2878 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
99.872 |
Density (g/cm3) |
6.119 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-74.5 meV/atom |
Formation energy above hull |
383.8 meV/atom |
Compounds with the same formula: Cr3N2 |
8 entries found |
Compounds with the same elements: Cr-N |
85 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
2.62 μB/cell |
Averaged magnetic moment |
0.26 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.31 T (= 246.7 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
|
DFT calculations (details) | |
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Magnetic easy axis |
|
Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Cr | 4f | 0.333333 | 0.666667 | 0.422818 | 0.69 | . | . |
2 | Cr | 4f | 0.666667 | 0.333333 | 0.577182 | 0.69 | . | . |
3 | Cr | 4f | 0.666667 | 0.333333 | 0.922818 | 0.69 | . | . |
4 | Cr | 4f | 0.333333 | 0.666667 | 0.077182 | 0.69 | . | . |
5 | Cr | 2b | 0.000000 | 0.000000 | 0.250000 | -0.31 | . | . |
6 | Cr | 2b | 0.000000 | 0.000000 | 0.750000 | -0.31 | . | . |
7 | N | 2a | 0.000000 | 0.000000 | 0.500000 | -0.06 | . | . |
8 | N | 2a | 0.000000 | 0.000000 | 0.000000 | -0.06 | . | . |
9 | N | 2d | 0.666667 | 0.333333 | 0.250000 | 0.02 | . | . |
10 | N | 2d | 0.333333 | 0.666667 | 0.750000 | 0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 4f | 2 | Cr | 4f | 2.59 | . |
1 | Cr | 4f | 3 | Cr | 4f | 6.39 | . |
1 | Cr | 4f | 4 | Cr | 4f | 4.25 | . |
1 | Cr | 4f | 5 | Cr | 2b | 2.76 | . |
1 | Cr | 4f | 6 | Cr | 2b | 4.39 | . |
1 | Cr | 4f | 7 | N | 2a | 2.01 | . |
1 | Cr | 4f | 8 | N | 2a | 5.49 | . |
1 | Cr | 4f | 9 | N | 2d | 2.76 | . |
1 | Cr | 4f | 10 | N | 2d | 4.02 | . |
2 | Cr | 4f | 3 | Cr | 4f | 4.25 | . |
2 | Cr | 4f | 4 | Cr | 4f | 6.39 | . |
2 | Cr | 4f | 5 | Cr | 2b | 4.39 | . |
2 | Cr | 4f | 6 | Cr | 2b | 2.76 | . |
2 | Cr | 4f | 7 | N | 2a | 2.01 | . |
2 | Cr | 4f | 8 | N | 2a | 5.49 | . |
2 | Cr | 4f | 9 | N | 2d | 4.02 | . |
2 | Cr | 4f | 10 | N | 2d | 2.76 | . |
3 | Cr | 4f | 4 | Cr | 4f | 2.59 | . |
3 | Cr | 4f | 5 | Cr | 2b | 4.39 | . |
3 | Cr | 4f | 6 | Cr | 2b | 2.76 | . |
3 | Cr | 4f | 7 | N | 2a | 5.49 | . |
3 | Cr | 4f | 8 | N | 2a | 2.01 | . |
3 | Cr | 4f | 9 | N | 2d | 4.02 | . |
3 | Cr | 4f | 10 | N | 2d | 2.76 | . |
4 | Cr | 4f | 5 | Cr | 2b | 2.76 | . |
4 | Cr | 4f | 6 | Cr | 2b | 4.39 | . |
4 | Cr | 4f | 7 | N | 2a | 5.49 | . |
4 | Cr | 4f | 8 | N | 2a | 2.01 | . |
4 | Cr | 4f | 9 | N | 2d | 2.76 | . |
4 | Cr | 4f | 10 | N | 2d | 4.02 | . |
5 | Cr | 2b | 6 | Cr | 2b | 6.14 | . |
5 | Cr | 2b | 7 | N | 2a | 3.07 | . |
5 | Cr | 2b | 8 | N | 2a | 3.07 | . |
5 | Cr | 2b | 9 | N | 2d | 1.77 | . |
5 | Cr | 2b | 10 | N | 2d | 6.39 | . |
6 | Cr | 2b | 7 | N | 2a | 3.07 | . |
6 | Cr | 2b | 8 | N | 2a | 3.07 | . |
6 | Cr | 2b | 9 | N | 2d | 6.39 | . |
6 | Cr | 2b | 10 | N | 2d | 1.77 | . |
7 | N | 2a | 8 | N | 2a | 6.14 | . |
7 | N | 2a | 9 | N | 2d | 3.54 | . |
7 | N | 2a | 10 | N | 2d | 3.54 | . |
8 | N | 2a | 9 | N | 2d | 3.54 | . |
8 | N | 2a | 10 | N | 2d | 3.54 | . |
9 | N | 2d | 10 | N | 2d | 6.39 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1096885 |