Crystal system |
cubic |
Space group number |
221 |
Hermann-Mauguin |
Pm-3m |
Hall |
-P 4 2 3 |
Point group |
m-3m |
Normalized formula |
Zr3Mn |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
4 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
4.3732 |
b (Å) |
4.3732 |
c (Å) |
4.3732 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
83.638 |
Density (g/cm3) |
6.524 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
143.7 meV/atom |
Formation energy above hull |
216.1 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
3.49 μB/cell |
Averaged magnetic moment |
0.87 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.49 T (= 389.9 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Kd-a |
-0.04 MJ/m3 (= -0.02 meV/cell) |
Magnetic easy axis |
<111> |
Magnetic hardness parameter, κ |
0.48 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 3c | 0.000000 | 0.500000 | 0.500000 | -0.05 | . | . |
2 | Zr | 3c | 0.500000 | 0.000000 | 0.500000 | -0.05 | . | . |
3 | Zr | 3c | 0.500000 | 0.500000 | 0.000000 | -0.05 | . | . |
4 | Mn | 1a | 0.000000 | 0.000000 | 0.000000 | 3.62 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 3c | 2 | Zr | 3c | 3.09 | . |
1 | Zr | 3c | 3 | Zr | 3c | 3.09 | . |
1 | Zr | 3c | 4 | Mn | 1a | 3.09 | . |
2 | Zr | 3c | 3 | Zr | 3c | 3.09 | . |
2 | Zr | 3c | 4 | Mn | 1a | 3.09 | . |
3 | Zr | 3c | 4 | Mn | 1a | 3.09 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1188027 |