Crystal system |
orthorhombic |
Space group number |
71 |
Hermann-Mauguin |
Immm |
Hall |
-I 2 2 |
Point group |
mmm |
Normalized formula |
Mn3B4 |
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) |
2.9575 |
b (Å) |
2.9733 |
c (Å) |
12.7706 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
112.298 |
Density (g/cm3) |
6.153 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-398.3 meV/atom |
Formation energy above hull |
43.4 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
10.71 μB/cell |
Averaged magnetic moment |
0.77 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.11 T (= 883.3 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-0.69 MJ/m3 (= -0.48 meV/cell) |
Magnetic anisotropy constant, Kb-c |
-0.30 MJ/m3 (= -0.21 meV/cell) |
Magnetic anisotropy constant, Kb-a |
0.38 MJ/m3 (= 0.27 meV/cell) |
Magnetic easy axis |
a |
Magnetic hardness parameter, κ |
0.84 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Mn | 4j | 0.500000 | 0.000000 | 0.186312 | 1.77 | . | . |
2 | Mn | 4j | 0.000000 | 0.500000 | 0.313688 | 1.77 | . | . |
3 | Mn | 4j | 0.000000 | 0.000000 | 0.000000 | 1.64 | . | . |
4 | Mn | 4j | 0.000000 | 0.500000 | 0.686312 | 1.77 | . | . |
5 | Mn | 2a | 0.500000 | 0.000000 | 0.813688 | 1.77 | . | . |
6 | Mn | 2a | 0.500000 | 0.500000 | 0.500000 | 1.64 | . | . |
7 | B | 4i | 0.000000 | 0.000000 | 0.432805 | -0.02 | . | . |
8 | B | 4i | 0.500000 | 0.500000 | 0.067195 | -0.02 | . | . |
9 | B | 4i | 0.500000 | 0.000000 | 0.357447 | -0.05 | . | . |
10 | B | 4i | 0.000000 | 0.500000 | 0.142553 | -0.05 | . | . |
11 | B | 4j | 0.500000 | 0.500000 | 0.932805 | -0.02 | . | . |
12 | B | 4j | 0.000000 | 0.000000 | 0.567195 | -0.02 | . | . |
13 | B | 4j | 0.000000 | 0.500000 | 0.857447 | -0.05 | . | . |
14 | B | 4j | 0.500000 | 0.000000 | 0.642553 | -0.05 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 4j | 2 | Mn | 4j | 2.65 | . |
1 | Mn | 4j | 3 | Mn | 4j | 2.80 | . |
1 | Mn | 4j | 4 | Mn | 4j | 6.72 | . |
1 | Mn | 4j | 5 | Mn | 2a | 4.76 | . |
1 | Mn | 4j | 6 | Mn | 2a | 4.27 | . |
1 | Mn | 4j | 7 | B | 4i | 3.48 | . |
1 | Mn | 4j | 8 | B | 4i | 2.13 | . |
1 | Mn | 4j | 9 | B | 4i | 2.19 | . |
1 | Mn | 4j | 10 | B | 4i | 2.17 | . |
1 | Mn | 4j | 11 | B | 4j | 3.56 | . |
1 | Mn | 4j | 12 | B | 4j | 5.08 | . |
1 | Mn | 4j | 13 | B | 4j | 4.69 | . |
1 | Mn | 4j | 14 | B | 4j | 5.83 | . |
2 | Mn | 4j | 3 | Mn | 4j | 4.27 | . |
2 | Mn | 4j | 4 | Mn | 4j | 4.76 | . |
2 | Mn | 4j | 5 | Mn | 2a | 6.72 | . |
2 | Mn | 4j | 6 | Mn | 2a | 2.80 | . |
2 | Mn | 4j | 7 | B | 4i | 2.13 | . |
2 | Mn | 4j | 8 | B | 4i | 3.48 | . |
2 | Mn | 4j | 9 | B | 4i | 2.17 | . |
2 | Mn | 4j | 10 | B | 4i | 2.19 | . |
2 | Mn | 4j | 11 | B | 4j | 5.08 | . |
2 | Mn | 4j | 12 | B | 4j | 3.56 | . |
2 | Mn | 4j | 13 | B | 4j | 5.83 | . |
2 | Mn | 4j | 14 | B | 4j | 4.69 | . |
3 | Mn | 4j | 4 | Mn | 4j | 4.27 | . |
3 | Mn | 4j | 5 | Mn | 2a | 2.80 | . |
3 | Mn | 4j | 6 | Mn | 2a | 6.72 | . |
3 | Mn | 4j | 7 | B | 4i | 5.53 | . |
3 | Mn | 4j | 8 | B | 4i | 2.27 | . |
3 | Mn | 4j | 9 | B | 4i | 4.80 | . |
3 | Mn | 4j | 10 | B | 4i | 2.35 | . |
3 | Mn | 4j | 11 | B | 4j | 2.27 | . |
3 | Mn | 4j | 12 | B | 4j | 5.53 | . |
3 | Mn | 4j | 13 | B | 4j | 2.35 | . |
3 | Mn | 4j | 14 | B | 4j | 4.80 | . |
4 | Mn | 4j | 5 | Mn | 2a | 2.65 | . |
4 | Mn | 4j | 6 | Mn | 2a | 2.80 | . |
4 | Mn | 4j | 7 | B | 4i | 3.56 | . |
4 | Mn | 4j | 8 | B | 4i | 5.08 | . |
4 | Mn | 4j | 9 | B | 4i | 4.69 | . |
4 | Mn | 4j | 10 | B | 4i | 5.83 | . |
4 | Mn | 4j | 11 | B | 4j | 3.48 | . |
4 | Mn | 4j | 12 | B | 4j | 2.13 | . |
4 | Mn | 4j | 13 | B | 4j | 2.19 | . |
4 | Mn | 4j | 14 | B | 4j | 2.17 | . |
5 | Mn | 2a | 6 | Mn | 2a | 4.27 | . |
5 | Mn | 2a | 7 | B | 4i | 5.08 | . |
5 | Mn | 2a | 8 | B | 4i | 3.56 | . |
5 | Mn | 2a | 9 | B | 4i | 5.83 | . |
5 | Mn | 2a | 10 | B | 4i | 4.69 | . |
5 | Mn | 2a | 11 | B | 4j | 2.13 | . |
5 | Mn | 2a | 12 | B | 4j | 3.48 | . |
5 | Mn | 2a | 13 | B | 4j | 2.17 | . |
5 | Mn | 2a | 14 | B | 4j | 2.19 | . |
6 | Mn | 2a | 7 | B | 4i | 2.27 | . |
6 | Mn | 2a | 8 | B | 4i | 5.53 | . |
6 | Mn | 2a | 9 | B | 4i | 2.35 | . |
6 | Mn | 2a | 10 | B | 4i | 4.80 | . |
6 | Mn | 2a | 11 | B | 4j | 5.53 | . |
6 | Mn | 2a | 12 | B | 4j | 2.27 | . |
6 | Mn | 2a | 13 | B | 4j | 4.80 | . |
6 | Mn | 2a | 14 | B | 4j | 2.35 | . |
7 | B | 4i | 8 | B | 4i | 5.12 | . |
7 | B | 4i | 9 | B | 4i | 1.76 | . |
7 | B | 4i | 10 | B | 4i | 3.99 | . |
7 | B | 4i | 11 | B | 4j | 6.72 | . |
7 | B | 4i | 12 | B | 4j | 1.72 | . |
7 | B | 4i | 13 | B | 4j | 5.62 | . |
7 | B | 4i | 14 | B | 4j | 3.06 | . |
8 | B | 4i | 9 | B | 4i | 3.99 | . |
8 | B | 4i | 10 | B | 4i | 1.76 | . |
8 | B | 4i | 11 | B | 4j | 1.72 | . |
8 | B | 4i | 12 | B | 4j | 6.72 | . |
8 | B | 4i | 13 | B | 4j | 3.06 | . |
8 | B | 4i | 14 | B | 4j | 5.62 | . |
9 | B | 4i | 10 | B | 4i | 3.45 | . |
9 | B | 4i | 11 | B | 4j | 5.62 | . |
9 | B | 4i | 12 | B | 4j | 3.06 | . |
9 | B | 4i | 13 | B | 4j | 6.72 | . |
9 | B | 4i | 14 | B | 4j | 3.64 | . |
10 | B | 4i | 11 | B | 4j | 3.06 | . |
10 | B | 4i | 12 | B | 4j | 5.62 | . |
10 | B | 4i | 13 | B | 4j | 3.64 | . |
10 | B | 4i | 14 | B | 4j | 6.72 | . |
11 | B | 4j | 12 | B | 4j | 5.12 | . |
11 | B | 4j | 13 | B | 4j | 1.76 | . |
11 | B | 4j | 14 | B | 4j | 3.99 | . |
12 | B | 4j | 13 | B | 4j | 3.99 | . |
12 | B | 4j | 14 | B | 4j | 1.76 | . |
13 | B | 4j | 14 | B | 4j | 3.45 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-10118 |