Crystal system |
tetragonal |
Space group number |
138 |
Hermann-Mauguin |
P4_2/ncm |
Hall |
P 4n 2ab -1n |
Point group |
4/mmm |
Normalized formula |
MnB |
The number of formula units per unit cell |
8 |
The total number of atoms per unit cell |
16 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
6.7701 |
b (Å) |
6.7701 |
c (Å) |
3.9608 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
181.540 |
Density (g/cm3) |
4.811 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-0.2 meV/atom |
Formation energy above hull |
489.7 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
8.42 μB/cell |
Averaged magnetic moment |
0.53 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.54 T (= 429.7 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-1.70 MJ/m3 (= -1.92 meV/cell) |
Magnetic easy axis |
ab plane |
Magnetic hardness parameter, κ |
2.73 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Mn | 8i | 0.626281 | 0.873719 | 0.121255 | 1.01 | . | . |
2 | Mn | 8i | 0.873719 | 0.626281 | 0.378745 | 1.01 | . | . |
3 | Mn | 8i | 0.626281 | 0.126281 | 0.621255 | 1.01 | . | . |
4 | Mn | 8i | 0.126281 | 0.626281 | 0.878745 | 1.01 | . | . |
5 | Mn | 8i | 0.373719 | 0.126281 | 0.121255 | 1.01 | . | . |
6 | Mn | 8i | 0.873719 | 0.373719 | 0.878745 | 1.01 | . | . |
7 | Mn | 8i | 0.373719 | 0.873719 | 0.621255 | 1.01 | . | . |
8 | Mn | 8i | 0.126281 | 0.373719 | 0.378745 | 1.01 | . | . |
9 | B | 8i | 0.819492 | 0.319492 | 0.382697 | -0.05 | . | . |
10 | B | 8i | 0.319492 | 0.819492 | 0.117303 | -0.05 | . | . |
11 | B | 8i | 0.680508 | 0.180508 | 0.117303 | -0.05 | . | . |
12 | B | 8i | 0.319492 | 0.180508 | 0.617303 | -0.05 | . | . |
13 | B | 8i | 0.180508 | 0.319492 | 0.882697 | -0.05 | . | . |
14 | B | 8i | 0.819492 | 0.680508 | 0.882697 | -0.05 | . | . |
15 | B | 8i | 0.680508 | 0.819492 | 0.617303 | -0.05 | . | . |
16 | B | 8i | 0.180508 | 0.680508 | 0.382697 | -0.05 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 8i | 2 | Mn | 8i | 2.58 | . |
1 | Mn | 8i | 3 | Mn | 8i | 2.62 | . |
1 | Mn | 8i | 4 | Mn | 8i | 3.90 | . |
1 | Mn | 8i | 5 | Mn | 8i | 2.42 | . |
1 | Mn | 8i | 6 | Mn | 8i | 3.90 | . |
1 | Mn | 8i | 7 | Mn | 8i | 2.62 | . |
1 | Mn | 8i | 8 | Mn | 8i | 4.89 | . |
1 | Mn | 8i | 9 | B | 8i | 3.45 | . |
1 | Mn | 8i | 10 | B | 8i | 2.11 | . |
1 | Mn | 8i | 11 | B | 8i | 2.11 | . |
1 | Mn | 8i | 12 | B | 8i | 3.53 | . |
1 | Mn | 8i | 13 | B | 8i | 4.37 | . |
1 | Mn | 8i | 14 | B | 8i | 2.08 | . |
1 | Mn | 8i | 15 | B | 8i | 2.03 | . |
1 | Mn | 8i | 16 | B | 8i | 3.45 | . |
2 | Mn | 8i | 3 | Mn | 8i | 3.90 | . |
2 | Mn | 8i | 4 | Mn | 8i | 2.62 | . |
2 | Mn | 8i | 5 | Mn | 8i | 4.89 | . |
2 | Mn | 8i | 6 | Mn | 8i | 2.62 | . |
2 | Mn | 8i | 7 | Mn | 8i | 3.90 | . |
2 | Mn | 8i | 8 | Mn | 8i | 2.42 | . |
2 | Mn | 8i | 9 | B | 8i | 2.11 | . |
2 | Mn | 8i | 10 | B | 8i | 3.45 | . |
2 | Mn | 8i | 11 | B | 8i | 3.45 | . |
2 | Mn | 8i | 12 | B | 8i | 4.37 | . |
2 | Mn | 8i | 13 | B | 8i | 3.53 | . |
2 | Mn | 8i | 14 | B | 8i | 2.03 | . |
2 | Mn | 8i | 15 | B | 8i | 2.08 | . |
2 | Mn | 8i | 16 | B | 8i | 2.11 | . |
3 | Mn | 8i | 4 | Mn | 8i | 4.89 | . |
3 | Mn | 8i | 5 | Mn | 8i | 2.62 | . |
3 | Mn | 8i | 6 | Mn | 8i | 2.58 | . |
3 | Mn | 8i | 7 | Mn | 8i | 2.42 | . |
3 | Mn | 8i | 8 | Mn | 8i | 3.90 | . |
3 | Mn | 8i | 9 | B | 8i | 2.08 | . |
3 | Mn | 8i | 10 | B | 8i | 3.53 | . |
3 | Mn | 8i | 11 | B | 8i | 2.03 | . |
3 | Mn | 8i | 12 | B | 8i | 2.11 | . |
3 | Mn | 8i | 13 | B | 8i | 3.45 | . |
3 | Mn | 8i | 14 | B | 8i | 3.45 | . |
3 | Mn | 8i | 15 | B | 8i | 2.11 | . |
3 | Mn | 8i | 16 | B | 8i | 4.37 | . |
4 | Mn | 8i | 5 | Mn | 8i | 3.90 | . |
4 | Mn | 8i | 6 | Mn | 8i | 2.42 | . |
4 | Mn | 8i | 7 | Mn | 8i | 2.58 | . |
4 | Mn | 8i | 8 | Mn | 8i | 2.62 | . |
4 | Mn | 8i | 9 | B | 8i | 3.53 | . |
4 | Mn | 8i | 10 | B | 8i | 2.08 | . |
4 | Mn | 8i | 11 | B | 8i | 4.37 | . |
4 | Mn | 8i | 12 | B | 8i | 3.45 | . |
4 | Mn | 8i | 13 | B | 8i | 2.11 | . |
4 | Mn | 8i | 14 | B | 8i | 2.11 | . |
4 | Mn | 8i | 15 | B | 8i | 3.45 | . |
4 | Mn | 8i | 16 | B | 8i | 2.03 | . |
5 | Mn | 8i | 6 | Mn | 8i | 3.90 | . |
5 | Mn | 8i | 7 | Mn | 8i | 2.62 | . |
5 | Mn | 8i | 8 | Mn | 8i | 2.58 | . |
5 | Mn | 8i | 9 | B | 8i | 3.45 | . |
5 | Mn | 8i | 10 | B | 8i | 2.11 | . |
5 | Mn | 8i | 11 | B | 8i | 2.11 | . |
5 | Mn | 8i | 12 | B | 8i | 2.03 | . |
5 | Mn | 8i | 13 | B | 8i | 2.08 | . |
5 | Mn | 8i | 14 | B | 8i | 4.37 | . |
5 | Mn | 8i | 15 | B | 8i | 3.53 | . |
5 | Mn | 8i | 16 | B | 8i | 3.45 | . |
6 | Mn | 8i | 7 | Mn | 8i | 4.89 | . |
6 | Mn | 8i | 8 | Mn | 8i | 2.62 | . |
6 | Mn | 8i | 9 | B | 8i | 2.03 | . |
6 | Mn | 8i | 10 | B | 8i | 4.37 | . |
6 | Mn | 8i | 11 | B | 8i | 2.08 | . |
6 | Mn | 8i | 12 | B | 8i | 3.45 | . |
6 | Mn | 8i | 13 | B | 8i | 2.11 | . |
6 | Mn | 8i | 14 | B | 8i | 2.11 | . |
6 | Mn | 8i | 15 | B | 8i | 3.45 | . |
6 | Mn | 8i | 16 | B | 8i | 3.53 | . |
7 | Mn | 8i | 8 | Mn | 8i | 3.90 | . |
7 | Mn | 8i | 9 | B | 8i | 4.37 | . |
7 | Mn | 8i | 10 | B | 8i | 2.03 | . |
7 | Mn | 8i | 11 | B | 8i | 3.53 | . |
7 | Mn | 8i | 12 | B | 8i | 2.11 | . |
7 | Mn | 8i | 13 | B | 8i | 3.45 | . |
7 | Mn | 8i | 14 | B | 8i | 3.45 | . |
7 | Mn | 8i | 15 | B | 8i | 2.11 | . |
7 | Mn | 8i | 16 | B | 8i | 2.08 | . |
8 | Mn | 8i | 9 | B | 8i | 2.11 | . |
8 | Mn | 8i | 10 | B | 8i | 3.45 | . |
8 | Mn | 8i | 11 | B | 8i | 3.45 | . |
8 | Mn | 8i | 12 | B | 8i | 2.08 | . |
8 | Mn | 8i | 13 | B | 8i | 2.03 | . |
8 | Mn | 8i | 14 | B | 8i | 3.53 | . |
8 | Mn | 8i | 15 | B | 8i | 4.37 | . |
8 | Mn | 8i | 16 | B | 8i | 2.11 | . |
9 | B | 8i | 10 | B | 8i | 4.90 | . |
9 | B | 8i | 11 | B | 8i | 1.70 | . |
9 | B | 8i | 12 | B | 8i | 3.63 | . |
9 | B | 8i | 13 | B | 8i | 3.15 | . |
9 | B | 8i | 14 | B | 8i | 3.15 | . |
9 | B | 8i | 15 | B | 8i | 3.63 | . |
9 | B | 8i | 16 | B | 8i | 3.46 | . |
10 | B | 8i | 11 | B | 8i | 3.46 | . |
10 | B | 8i | 12 | B | 8i | 3.15 | . |
10 | B | 8i | 13 | B | 8i | 3.63 | . |
10 | B | 8i | 14 | B | 8i | 3.63 | . |
10 | B | 8i | 15 | B | 8i | 3.15 | . |
10 | B | 8i | 16 | B | 8i | 1.70 | . |
11 | B | 8i | 12 | B | 8i | 3.15 | . |
11 | B | 8i | 13 | B | 8i | 3.63 | . |
11 | B | 8i | 14 | B | 8i | 3.63 | . |
11 | B | 8i | 15 | B | 8i | 3.15 | . |
11 | B | 8i | 16 | B | 8i | 4.90 | . |
12 | B | 8i | 13 | B | 8i | 1.70 | . |
12 | B | 8i | 14 | B | 8i | 4.90 | . |
12 | B | 8i | 15 | B | 8i | 3.46 | . |
12 | B | 8i | 16 | B | 8i | 3.63 | . |
13 | B | 8i | 14 | B | 8i | 3.46 | . |
13 | B | 8i | 15 | B | 8i | 4.90 | . |
13 | B | 8i | 16 | B | 8i | 3.15 | . |
14 | B | 8i | 15 | B | 8i | 1.70 | . |
14 | B | 8i | 16 | B | 8i | 3.15 | . |
15 | B | 8i | 16 | B | 8i | 3.63 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-616575 |