Crystal system |
orthorhombic |
Space group number |
63 |
Hermann-Mauguin |
Cmcm |
Hall |
-C 2c 2 |
Point group |
mmm |
Normalized formula |
Cr2B3 |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
20 |
The number of inequivalent sites per unit cell |
5 |
Structure search |
MP |
a (Å) |
2.9355 |
b (Å) |
18.1651 |
c (Å) |
2.9505 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
157.334 |
Density (g/cm3) |
5.759 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-440.1 meV/atom |
Formation energy above hull |
26.4 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.02 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 | 4c | 0.500000 | 0.071951 | 0.750000 | -0.00 | . | . |
2 | Cr | 4c | 0.000000 | 0.428049 | 0.250000 | -0.00 | . | . |
3 | Cr | 4c | 0.000000 | 0.297042 | 0.750000 | 0.01 | . | . |
4 | Cr | 4c | 0.500000 | 0.202958 | 0.250000 | 0.01 | . | . |
5 | Cr | 4c | 0.000000 | 0.571951 | 0.750000 | -0.00 | . | . |
6 | Cr | 4c | 0.500000 | 0.928049 | 0.250000 | -0.00 | . | . |
7 | Cr | 4c | 0.500000 | 0.797042 | 0.750000 | 0.01 | . | . |
8 | Cr | 4c | 0.000000 | 0.702958 | 0.250000 | 0.01 | . | . |
9 | B | 4c | 0.500000 | 0.476408 | 0.750000 | 0.00 | . | . |
10 | B | 4c | 0.000000 | 0.023592 | 0.250000 | -0.00 | . | . |
11 | B | 4c | 0.500000 | 0.381135 | 0.750000 | -0.00 | . | . |
12 | B | 4c | 0.000000 | 0.118865 | 0.250000 | -0.00 | . | . |
13 | B | 4c | 0.000000 | 0.172530 | 0.750000 | -0.00 | . | . |
14 | B | 4c | 0.500000 | 0.327470 | 0.250000 | -0.00 | . | . |
15 | B | 4c | 0.000000 | 0.976408 | 0.750000 | -0.00 | . | . |
16 | B | 4c | 0.500000 | 0.523592 | 0.250000 | 0.00 | . | . |
17 | B | 4c | 0.000000 | 0.881135 | 0.750000 | -0.00 | . | . |
18 | B | 4c | 0.500000 | 0.618865 | 0.250000 | -0.00 | . | . |
19 | B | 4c | 0.500000 | 0.672530 | 0.750000 | -0.00 | . | . |
20 | B | 4c | 0.000000 | 0.827470 | 0.250000 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 4c | 2 | Cr | 4c | 6.80 | . |
1 | Cr | 4c | 3 | Cr | 4c | 4.34 | . |
1 | Cr | 4c | 4 | Cr | 4c | 2.80 | . |
1 | Cr | 4c | 5 | Cr | 4c | 9.20 | . |
1 | Cr | 4c | 6 | Cr | 4c | 3.00 | . |
1 | Cr | 4c | 7 | Cr | 4c | 4.99 | . |
1 | Cr | 4c | 8 | Cr | 4c | 7.02 | . |
1 | Cr | 4c | 9 | B | 4c | 7.35 | . |
1 | Cr | 4c | 10 | B | 4c | 2.26 | . |
1 | Cr | 4c | 11 | B | 4c | 5.62 | . |
1 | Cr | 4c | 12 | B | 4c | 2.25 | . |
1 | Cr | 4c | 13 | B | 4c | 2.34 | . |
1 | Cr | 4c | 14 | B | 4c | 4.87 | . |
1 | Cr | 4c | 15 | B | 4c | 2.27 | . |
1 | Cr | 4c | 16 | B | 4c | 8.34 | . |
1 | Cr | 4c | 17 | B | 4c | 3.76 | . |
1 | Cr | 4c | 18 | B | 4c | 8.36 | . |
1 | Cr | 4c | 19 | B | 4c | 7.26 | . |
1 | Cr | 4c | 20 | B | 4c | 4.90 | . |
2 | Cr | 4c | 3 | Cr | 4c | 2.80 | . |
2 | Cr | 4c | 4 | Cr | 4c | 4.34 | . |
2 | Cr | 4c | 5 | Cr | 4c | 3.00 | . |
2 | Cr | 4c | 6 | Cr | 4c | 9.20 | . |
2 | Cr | 4c | 7 | Cr | 4c | 7.02 | . |
2 | Cr | 4c | 8 | Cr | 4c | 4.99 | . |
2 | Cr | 4c | 9 | B | 4c | 2.26 | . |
2 | Cr | 4c | 10 | B | 4c | 7.35 | . |
2 | Cr | 4c | 11 | B | 4c | 2.25 | . |
2 | Cr | 4c | 12 | B | 4c | 5.62 | . |
2 | Cr | 4c | 13 | B | 4c | 4.87 | . |
2 | Cr | 4c | 14 | B | 4c | 2.34 | . |
2 | Cr | 4c | 15 | B | 4c | 8.34 | . |
2 | Cr | 4c | 16 | B | 4c | 2.27 | . |
2 | Cr | 4c | 17 | B | 4c | 8.36 | . |
2 | Cr | 4c | 18 | B | 4c | 3.76 | . |
2 | Cr | 4c | 19 | B | 4c | 4.90 | . |
2 | Cr | 4c | 20 | B | 4c | 7.26 | . |
3 | Cr | 4c | 4 | Cr | 4c | 2.69 | . |
3 | Cr | 4c | 5 | Cr | 4c | 4.99 | . |
3 | Cr | 4c | 6 | Cr | 4c | 7.02 | . |
3 | Cr | 4c | 7 | Cr | 4c | 9.20 | . |
3 | Cr | 4c | 8 | Cr | 4c | 7.52 | . |
3 | Cr | 4c | 9 | B | 4c | 3.57 | . |
3 | Cr | 4c | 10 | B | 4c | 5.18 | . |
3 | Cr | 4c | 11 | B | 4c | 2.12 | . |
3 | Cr | 4c | 12 | B | 4c | 3.56 | . |
3 | Cr | 4c | 13 | B | 4c | 2.26 | . |
3 | Cr | 4c | 14 | B | 4c | 2.15 | . |
3 | Cr | 4c | 15 | B | 4c | 5.82 | . |
3 | Cr | 4c | 16 | B | 4c | 4.61 | . |
3 | Cr | 4c | 17 | B | 4c | 7.56 | . |
3 | Cr | 4c | 18 | B | 4c | 6.21 | . |
3 | Cr | 4c | 19 | B | 4c | 6.98 | . |
3 | Cr | 4c | 20 | B | 4c | 8.66 | . |
4 | Cr | 4c | 5 | Cr | 4c | 7.02 | . |
4 | Cr | 4c | 6 | Cr | 4c | 4.99 | . |
4 | Cr | 4c | 7 | Cr | 4c | 7.52 | . |
4 | Cr | 4c | 8 | Cr | 4c | 9.20 | . |
4 | Cr | 4c | 9 | B | 4c | 5.18 | . |
4 | Cr | 4c | 10 | B | 4c | 3.57 | . |
4 | Cr | 4c | 11 | B | 4c | 3.56 | . |
4 | Cr | 4c | 12 | B | 4c | 2.12 | . |
4 | Cr | 4c | 13 | B | 4c | 2.15 | . |
4 | Cr | 4c | 14 | B | 4c | 2.26 | . |
4 | Cr | 4c | 15 | B | 4c | 4.61 | . |
4 | Cr | 4c | 16 | B | 4c | 5.82 | . |
4 | Cr | 4c | 17 | B | 4c | 6.21 | . |
4 | Cr | 4c | 18 | B | 4c | 7.56 | . |
4 | Cr | 4c | 19 | B | 4c | 8.66 | . |
4 | Cr | 4c | 20 | B | 4c | 6.98 | . |
5 | Cr | 4c | 6 | Cr | 4c | 6.80 | . |
5 | Cr | 4c | 7 | Cr | 4c | 4.34 | . |
5 | Cr | 4c | 8 | Cr | 4c | 2.80 | . |
5 | Cr | 4c | 9 | B | 4c | 2.27 | . |
5 | Cr | 4c | 10 | B | 4c | 8.34 | . |
5 | Cr | 4c | 11 | B | 4c | 3.76 | . |
5 | Cr | 4c | 12 | B | 4c | 8.36 | . |
5 | Cr | 4c | 13 | B | 4c | 7.26 | . |
5 | Cr | 4c | 14 | B | 4c | 4.90 | . |
5 | Cr | 4c | 15 | B | 4c | 7.35 | . |
5 | Cr | 4c | 16 | B | 4c | 2.26 | . |
5 | Cr | 4c | 17 | B | 4c | 5.62 | . |
5 | Cr | 4c | 18 | B | 4c | 2.25 | . |
5 | Cr | 4c | 19 | B | 4c | 2.34 | . |
5 | Cr | 4c | 20 | B | 4c | 4.87 | . |
6 | Cr | 4c | 7 | Cr | 4c | 2.80 | . |
6 | Cr | 4c | 8 | Cr | 4c | 4.34 | . |
6 | Cr | 4c | 9 | B | 4c | 8.34 | . |
6 | Cr | 4c | 10 | B | 4c | 2.27 | . |
6 | Cr | 4c | 11 | B | 4c | 8.36 | . |
6 | Cr | 4c | 12 | B | 4c | 3.76 | . |
6 | Cr | 4c | 13 | B | 4c | 4.90 | . |
6 | Cr | 4c | 14 | B | 4c | 7.26 | . |
6 | Cr | 4c | 15 | B | 4c | 2.26 | . |
6 | Cr | 4c | 16 | B | 4c | 7.35 | . |
6 | Cr | 4c | 17 | B | 4c | 2.25 | . |
6 | Cr | 4c | 18 | B | 4c | 5.62 | . |
6 | Cr | 4c | 19 | B | 4c | 4.87 | . |
6 | Cr | 4c | 20 | B | 4c | 2.34 | . |
7 | Cr | 4c | 8 | Cr | 4c | 2.69 | . |
7 | Cr | 4c | 9 | B | 4c | 5.82 | . |
7 | Cr | 4c | 10 | B | 4c | 4.61 | . |
7 | Cr | 4c | 11 | B | 4c | 7.56 | . |
7 | Cr | 4c | 12 | B | 4c | 6.21 | . |
7 | Cr | 4c | 13 | B | 4c | 6.98 | . |
7 | Cr | 4c | 14 | B | 4c | 8.66 | . |
7 | Cr | 4c | 15 | B | 4c | 3.57 | . |
7 | Cr | 4c | 16 | B | 4c | 5.18 | . |
7 | Cr | 4c | 17 | B | 4c | 2.12 | . |
7 | Cr | 4c | 18 | B | 4c | 3.56 | . |
7 | Cr | 4c | 19 | B | 4c | 2.26 | . |
7 | Cr | 4c | 20 | B | 4c | 2.15 | . |
8 | Cr | 4c | 9 | B | 4c | 4.61 | . |
8 | Cr | 4c | 10 | B | 4c | 5.82 | . |
8 | Cr | 4c | 11 | B | 4c | 6.21 | . |
8 | Cr | 4c | 12 | B | 4c | 7.56 | . |
8 | Cr | 4c | 13 | B | 4c | 8.66 | . |
8 | Cr | 4c | 14 | B | 4c | 6.98 | . |
8 | Cr | 4c | 15 | B | 4c | 5.18 | . |
8 | Cr | 4c | 16 | B | 4c | 3.57 | . |
8 | Cr | 4c | 17 | B | 4c | 3.56 | . |
8 | Cr | 4c | 18 | B | 4c | 2.12 | . |
8 | Cr | 4c | 19 | B | 4c | 2.15 | . |
8 | Cr | 4c | 20 | B | 4c | 2.26 | . |
9 | B | 4c | 10 | B | 4c | 8.48 | . |
9 | B | 4c | 11 | B | 4c | 1.73 | . |
9 | B | 4c | 12 | B | 4c | 6.82 | . |
9 | B | 4c | 13 | B | 4c | 5.71 | . |
9 | B | 4c | 14 | B | 4c | 3.08 | . |
9 | B | 4c | 15 | B | 4c | 9.20 | . |
9 | B | 4c | 16 | B | 4c | 1.71 | . |
9 | B | 4c | 17 | B | 4c | 7.50 | . |
9 | B | 4c | 18 | B | 4c | 2.98 | . |
9 | B | 4c | 19 | B | 4c | 3.56 | . |
9 | B | 4c | 20 | B | 4c | 6.71 | . |
10 | B | 4c | 11 | B | 4c | 6.82 | . |
10 | B | 4c | 12 | B | 4c | 1.73 | . |
10 | B | 4c | 13 | B | 4c | 3.08 | . |
10 | B | 4c | 14 | B | 4c | 5.71 | . |
10 | B | 4c | 15 | B | 4c | 1.71 | . |
10 | B | 4c | 16 | B | 4c | 9.20 | . |
10 | B | 4c | 17 | B | 4c | 2.98 | . |
10 | B | 4c | 18 | B | 4c | 7.50 | . |
10 | B | 4c | 19 | B | 4c | 6.71 | . |
10 | B | 4c | 20 | B | 4c | 3.56 | . |
11 | B | 4c | 12 | B | 4c | 5.20 | . |
11 | B | 4c | 13 | B | 4c | 4.06 | . |
11 | B | 4c | 14 | B | 4c | 1.77 | . |
11 | B | 4c | 15 | B | 4c | 7.50 | . |
11 | B | 4c | 16 | B | 4c | 2.98 | . |
11 | B | 4c | 17 | B | 4c | 9.20 | . |
11 | B | 4c | 18 | B | 4c | 4.56 | . |
11 | B | 4c | 19 | B | 4c | 5.29 | . |
11 | B | 4c | 20 | B | 4c | 8.37 | . |
12 | B | 4c | 13 | B | 4c | 1.77 | . |
12 | B | 4c | 14 | B | 4c | 4.06 | . |
12 | B | 4c | 15 | B | 4c | 2.98 | . |
12 | B | 4c | 16 | B | 4c | 7.50 | . |
12 | B | 4c | 17 | B | 4c | 4.56 | . |
12 | B | 4c | 18 | B | 4c | 9.20 | . |
12 | B | 4c | 19 | B | 4c | 8.37 | . |
12 | B | 4c | 20 | B | 4c | 5.29 | . |
13 | B | 4c | 14 | B | 4c | 3.50 | . |
13 | B | 4c | 15 | B | 4c | 3.56 | . |
13 | B | 4c | 16 | B | 4c | 6.71 | . |
13 | B | 4c | 17 | B | 4c | 5.29 | . |
13 | B | 4c | 18 | B | 4c | 8.37 | . |
13 | B | 4c | 19 | B | 4c | 9.20 | . |
13 | B | 4c | 20 | B | 4c | 6.44 | . |
14 | B | 4c | 15 | B | 4c | 6.71 | . |
14 | B | 4c | 16 | B | 4c | 3.56 | . |
14 | B | 4c | 17 | B | 4c | 8.37 | . |
14 | B | 4c | 18 | B | 4c | 5.29 | . |
14 | B | 4c | 19 | B | 4c | 6.44 | . |
14 | B | 4c | 20 | B | 4c | 9.20 | . |
15 | B | 4c | 16 | B | 4c | 8.48 | . |
15 | B | 4c | 17 | B | 4c | 1.73 | . |
15 | B | 4c | 18 | B | 4c | 6.82 | . |
15 | B | 4c | 19 | B | 4c | 5.71 | . |
15 | B | 4c | 20 | B | 4c | 3.08 | . |
16 | B | 4c | 17 | B | 4c | 6.82 | . |
16 | B | 4c | 18 | B | 4c | 1.73 | . |
16 | B | 4c | 19 | B | 4c | 3.08 | . |
16 | B | 4c | 20 | B | 4c | 5.71 | . |
17 | B | 4c | 18 | B | 4c | 5.20 | . |
17 | B | 4c | 19 | B | 4c | 4.06 | . |
17 | B | 4c | 20 | B | 4c | 1.77 | . |
18 | B | 4c | 19 | B | 4c | 1.77 | . |
18 | B | 4c | 20 | B | 4c | 4.06 | . |
19 | B | 4c | 20 | B | 4c | 3.50 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-12054 |