Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
ZrMn3 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
8 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
5.5600 |
b (Å) |
5.5600 |
c (Å) |
4.3768 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
117.175 |
Density (g/cm3) |
7.257 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
147.7 meV/atom |
Formation energy above hull |
292.5 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
12.90 μB/cell |
Averaged magnetic moment |
1.61 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.28 T (= 1018.6 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
-0.97 MJ/m3 (= -0.71 meV/cell) |
Magnetic easy axis |
ab plane |
Magnetic hardness parameter, κ |
0.86 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 2d | 0.333333 | 0.666667 | 0.750000 | -0.03 | . | . |
2 | Zr | 2d | 0.666667 | 0.333333 | 0.250000 | -0.03 | . | . |
3 | Mn | 6h | 0.148782 | 0.297565 | 0.250000 | 2.04 | . | . |
4 | Mn | 6h | 0.702435 | 0.851218 | 0.250000 | 2.04 | . | . |
5 | Mn | 6h | 0.148782 | 0.851218 | 0.250000 | 2.04 | . | . |
6 | Mn | 6h | 0.851218 | 0.702435 | 0.750000 | 2.04 | . | . |
7 | Mn | 6h | 0.297565 | 0.148782 | 0.750000 | 2.04 | . | . |
8 | Mn | 6h | 0.851218 | 0.148782 | 0.750000 | 2.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 2d | 2 | Zr | 2d | 3.89 | . |
1 | Zr | 2d | 3 | Mn | 6h | 2.82 | . |
1 | Zr | 2d | 4 | Mn | 6h | 2.82 | . |
1 | Zr | 2d | 5 | Mn | 6h | 2.82 | . |
1 | Zr | 2d | 6 | Mn | 6h | 2.79 | . |
1 | Zr | 2d | 7 | Mn | 6h | 2.79 | . |
1 | Zr | 2d | 8 | Mn | 6h | 2.79 | . |
2 | Zr | 2d | 3 | Mn | 6h | 2.79 | . |
2 | Zr | 2d | 4 | Mn | 6h | 2.79 | . |
2 | Zr | 2d | 5 | Mn | 6h | 2.79 | . |
2 | Zr | 2d | 6 | Mn | 6h | 2.82 | . |
2 | Zr | 2d | 7 | Mn | 6h | 2.82 | . |
2 | Zr | 2d | 8 | Mn | 6h | 2.82 | . |
3 | Mn | 6h | 4 | Mn | 6h | 2.48 | . |
3 | Mn | 6h | 5 | Mn | 6h | 2.48 | . |
3 | Mn | 6h | 6 | Mn | 6h | 3.61 | . |
3 | Mn | 6h | 7 | Mn | 6h | 2.62 | . |
3 | Mn | 6h | 8 | Mn | 6h | 2.62 | . |
4 | Mn | 6h | 5 | Mn | 6h | 2.48 | . |
4 | Mn | 6h | 6 | Mn | 6h | 2.62 | . |
4 | Mn | 6h | 7 | Mn | 6h | 3.61 | . |
4 | Mn | 6h | 8 | Mn | 6h | 2.62 | . |
5 | Mn | 6h | 6 | Mn | 6h | 2.62 | . |
5 | Mn | 6h | 7 | Mn | 6h | 2.62 | . |
5 | Mn | 6h | 8 | Mn | 6h | 3.61 | . |
6 | Mn | 6h | 7 | Mn | 6h | 2.48 | . |
6 | Mn | 6h | 8 | Mn | 6h | 2.48 | . |
7 | Mn | 6h | 8 | Mn | 6h | 2.48 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1188045 |