Crystal system |
orthorhombic |
Space group number |
71 |
Hermann-Mauguin |
Immm |
Hall |
-I 2 2 |
Point group |
mmm |
Normalized formula |
Cr3B4 |
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 |
4 |
Structure search |
MP |
a (Å) |
2.9186 |
b (Å) |
2.9428 |
c (Å) |
13.0438 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
112.033 |
Density (g/cm3) |
5.906 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-471.1 meV/atom |
Formation energy above hull |
17.0 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.01 μB/cell |
Averaged magnetic moment |
0.00 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.00 T (= 0.0 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 | 4j | 0.000000 | 0.500000 | 0.685991 | 0.00 | . | . |
2 | Cr | 4j | 0.500000 | 0.000000 | 0.814009 | 0.00 | . | . |
3 | Cr | 4j | 0.500000 | 0.500000 | 0.000000 | 0.00 | . | . |
4 | Cr | 4j | 0.500000 | 0.000000 | 0.185991 | 0.00 | . | . |
5 | Cr | 2c | 0.000000 | 0.500000 | 0.314009 | 0.00 | . | . |
6 | Cr | 2c | 0.000000 | 0.000000 | 0.500000 | 0.00 | . | . |
7 | B | 4i | 0.000000 | 0.000000 | 0.933622 | -0.00 | . | . |
8 | B | 4i | 0.500000 | 0.500000 | 0.566378 | -0.00 | . | . |
9 | B | 4i | 0.000000 | 0.500000 | 0.860179 | -0.00 | . | . |
10 | B | 4i | 0.500000 | 0.000000 | 0.639821 | -0.00 | . | . |
11 | B | 4j | 0.500000 | 0.500000 | 0.433622 | -0.00 | . | . |
12 | B | 4j | 0.000000 | 0.000000 | 0.066378 | -0.00 | . | . |
13 | B | 4j | 0.500000 | 0.000000 | 0.360179 | -0.00 | . | . |
14 | B | 4j | 0.000000 | 0.500000 | 0.139821 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 4j | 2 | Cr | 4j | 2.66 | . |
1 | Cr | 4j | 3 | Cr | 4j | 4.35 | . |
1 | Cr | 4j | 4 | Cr | 4j | 6.84 | . |
1 | Cr | 4j | 5 | Cr | 2c | 4.85 | . |
1 | Cr | 4j | 6 | Cr | 2c | 2.84 | . |
1 | Cr | 4j | 7 | B | 4i | 3.55 | . |
1 | Cr | 4j | 8 | B | 4i | 2.14 | . |
1 | Cr | 4j | 9 | B | 4i | 2.27 | . |
1 | Cr | 4j | 10 | B | 4i | 2.16 | . |
1 | Cr | 4j | 11 | B | 4j | 3.60 | . |
1 | Cr | 4j | 12 | B | 4j | 5.18 | . |
1 | Cr | 4j | 13 | B | 4j | 4.73 | . |
1 | Cr | 4j | 14 | B | 4j | 5.92 | . |
2 | Cr | 4j | 3 | Cr | 4j | 2.84 | . |
2 | Cr | 4j | 4 | Cr | 4j | 4.85 | . |
2 | Cr | 4j | 5 | Cr | 2c | 6.84 | . |
2 | Cr | 4j | 6 | Cr | 2c | 4.35 | . |
2 | Cr | 4j | 7 | B | 4i | 2.14 | . |
2 | Cr | 4j | 8 | B | 4i | 3.55 | . |
2 | Cr | 4j | 9 | B | 4i | 2.16 | . |
2 | Cr | 4j | 10 | B | 4i | 2.27 | . |
2 | Cr | 4j | 11 | B | 4j | 5.18 | . |
2 | Cr | 4j | 12 | B | 4j | 3.60 | . |
2 | Cr | 4j | 13 | B | 4j | 5.92 | . |
2 | Cr | 4j | 14 | B | 4j | 4.73 | . |
3 | Cr | 4j | 4 | Cr | 4j | 2.84 | . |
3 | Cr | 4j | 5 | Cr | 2c | 4.35 | . |
3 | Cr | 4j | 6 | Cr | 2c | 6.84 | . |
3 | Cr | 4j | 7 | B | 4i | 2.25 | . |
3 | Cr | 4j | 8 | B | 4i | 5.66 | . |
3 | Cr | 4j | 9 | B | 4i | 2.34 | . |
3 | Cr | 4j | 10 | B | 4i | 4.92 | . |
3 | Cr | 4j | 11 | B | 4j | 5.66 | . |
3 | Cr | 4j | 12 | B | 4j | 2.25 | . |
3 | Cr | 4j | 13 | B | 4j | 4.92 | . |
3 | Cr | 4j | 14 | B | 4j | 2.34 | . |
4 | Cr | 4j | 5 | Cr | 2c | 2.66 | . |
4 | Cr | 4j | 6 | Cr | 2c | 4.35 | . |
4 | Cr | 4j | 7 | B | 4i | 3.60 | . |
4 | Cr | 4j | 8 | B | 4i | 5.18 | . |
4 | Cr | 4j | 9 | B | 4i | 4.73 | . |
4 | Cr | 4j | 10 | B | 4i | 5.92 | . |
4 | Cr | 4j | 11 | B | 4j | 3.55 | . |
4 | Cr | 4j | 12 | B | 4j | 2.14 | . |
4 | Cr | 4j | 13 | B | 4j | 2.27 | . |
4 | Cr | 4j | 14 | B | 4j | 2.16 | . |
5 | Cr | 2c | 6 | Cr | 2c | 2.84 | . |
5 | Cr | 2c | 7 | B | 4i | 5.18 | . |
5 | Cr | 2c | 8 | B | 4i | 3.60 | . |
5 | Cr | 2c | 9 | B | 4i | 5.92 | . |
5 | Cr | 2c | 10 | B | 4i | 4.73 | . |
5 | Cr | 2c | 11 | B | 4j | 2.14 | . |
5 | Cr | 2c | 12 | B | 4j | 3.55 | . |
5 | Cr | 2c | 13 | B | 4j | 2.16 | . |
5 | Cr | 2c | 14 | B | 4j | 2.27 | . |
6 | Cr | 2c | 7 | B | 4i | 5.66 | . |
6 | Cr | 2c | 8 | B | 4i | 2.25 | . |
6 | Cr | 2c | 9 | B | 4i | 4.92 | . |
6 | Cr | 2c | 10 | B | 4i | 2.34 | . |
6 | Cr | 2c | 11 | B | 4j | 2.25 | . |
6 | Cr | 2c | 12 | B | 4j | 5.66 | . |
6 | Cr | 2c | 13 | B | 4j | 2.34 | . |
6 | Cr | 2c | 14 | B | 4j | 4.92 | . |
7 | B | 4i | 8 | B | 4i | 5.22 | . |
7 | B | 4i | 9 | B | 4i | 1.76 | . |
7 | B | 4i | 10 | B | 4i | 4.10 | . |
7 | B | 4i | 11 | B | 4j | 6.84 | . |
7 | B | 4i | 12 | B | 4j | 1.73 | . |
7 | B | 4i | 13 | B | 4j | 5.75 | . |
7 | B | 4i | 14 | B | 4j | 3.07 | . |
8 | B | 4i | 9 | B | 4i | 4.10 | . |
8 | B | 4i | 10 | B | 4i | 1.76 | . |
8 | B | 4i | 11 | B | 4j | 1.73 | . |
8 | B | 4i | 12 | B | 4j | 6.84 | . |
8 | B | 4i | 13 | B | 4j | 3.07 | . |
8 | B | 4i | 14 | B | 4j | 5.75 | . |
9 | B | 4i | 10 | B | 4i | 3.54 | . |
9 | B | 4i | 11 | B | 4j | 5.75 | . |
9 | B | 4i | 12 | B | 4j | 3.07 | . |
9 | B | 4i | 13 | B | 4j | 6.84 | . |
9 | B | 4i | 14 | B | 4j | 3.65 | . |
10 | B | 4i | 11 | B | 4j | 3.07 | . |
10 | B | 4i | 12 | B | 4j | 5.75 | . |
10 | B | 4i | 13 | B | 4j | 3.65 | . |
10 | B | 4i | 14 | B | 4j | 6.84 | . |
11 | B | 4j | 12 | B | 4j | 5.22 | . |
11 | B | 4j | 13 | B | 4j | 1.76 | . |
11 | B | 4j | 14 | B | 4j | 4.10 | . |
12 | B | 4j | 13 | B | 4j | 4.10 | . |
12 | B | 4j | 14 | B | 4j | 1.76 | . |
13 | B | 4j | 14 | B | 4j | 3.54 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-889 |