Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Zr2Fe3Ge |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
5.0252 |
b (Å) |
5.0252 |
c (Å) |
8.2023 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
179.379 |
Density (g/cm3) |
7.825 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-465.3 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Zr2Fe3Ge |
1 entry found |
Compounds with the same elements: Zr-Fe-Ge |
2 entries found |
Binary compounds in Zr-Fe system |
7 entries found |
Binary compounds in Zr-Ge system |
No entries found |
Binary compounds in Fe-Ge system |
21 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
8.13 μB/cell |
Averaged magnetic moment |
0.68 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.53 T (= 421.8 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 | Zr | 4f | 0.666667 | 0.333333 | 0.934648 | -0.34 | . | . |
2 | Zr | 4f | 0.333333 | 0.666667 | 0.434648 | -0.34 | . | . |
3 | Zr | 4f | 0.666667 | 0.333333 | 0.565352 | -0.34 | . | . |
4 | Zr | 4f | 0.333333 | 0.666667 | 0.065352 | -0.34 | . | . |
5 | Fe | 6h | 0.827326 | 0.654652 | 0.250000 | 1.73 | . | . |
6 | Fe | 6h | 0.172674 | 0.827326 | 0.750000 | 1.73 | . | . |
7 | Fe | 6h | 0.654652 | 0.827326 | 0.750000 | 1.73 | . | . |
8 | Fe | 6h | 0.345348 | 0.172674 | 0.250000 | 1.73 | . | . |
9 | Fe | 6h | 0.827326 | 0.172674 | 0.250000 | 1.73 | . | . |
10 | Fe | 6h | 0.172674 | 0.345348 | 0.750000 | 1.73 | . | . |
11 | Ge | 2a | 0.000000 | 0.000000 | 0.500000 | -0.01 | . | . |
12 | Ge | 2a | 0.000000 | 0.000000 | 0.000000 | -0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 4f | 2 | Zr | 4f | 5.02 | . |
1 | Zr | 4f | 3 | Zr | 4f | 3.03 | . |
1 | Zr | 4f | 4 | Zr | 4f | 3.09 | . |
1 | Zr | 4f | 5 | Fe | 6h | 2.94 | . |
1 | Zr | 4f | 6 | Fe | 6h | 2.93 | . |
1 | Zr | 4f | 7 | Fe | 6h | 2.93 | . |
1 | Zr | 4f | 8 | Fe | 6h | 2.94 | . |
1 | Zr | 4f | 9 | Fe | 6h | 2.94 | . |
1 | Zr | 4f | 10 | Fe | 6h | 2.93 | . |
1 | Zr | 4f | 11 | Ge | 2a | 4.60 | . |
1 | Zr | 4f | 12 | Ge | 2a | 2.95 | . |
2 | Zr | 4f | 3 | Zr | 4f | 3.09 | . |
2 | Zr | 4f | 4 | Zr | 4f | 3.03 | . |
2 | Zr | 4f | 5 | Fe | 6h | 2.93 | . |
2 | Zr | 4f | 6 | Fe | 6h | 2.94 | . |
2 | Zr | 4f | 7 | Fe | 6h | 2.94 | . |
2 | Zr | 4f | 8 | Fe | 6h | 2.93 | . |
2 | Zr | 4f | 9 | Fe | 6h | 2.93 | . |
2 | Zr | 4f | 10 | Fe | 6h | 2.94 | . |
2 | Zr | 4f | 11 | Ge | 2a | 2.95 | . |
2 | Zr | 4f | 12 | Ge | 2a | 4.60 | . |
3 | Zr | 4f | 4 | Zr | 4f | 5.02 | . |
3 | Zr | 4f | 5 | Fe | 6h | 2.94 | . |
3 | Zr | 4f | 6 | Fe | 6h | 2.93 | . |
3 | Zr | 4f | 7 | Fe | 6h | 2.93 | . |
3 | Zr | 4f | 8 | Fe | 6h | 2.94 | . |
3 | Zr | 4f | 9 | Fe | 6h | 2.94 | . |
3 | Zr | 4f | 10 | Fe | 6h | 2.93 | . |
3 | Zr | 4f | 11 | Ge | 2a | 2.95 | . |
3 | Zr | 4f | 12 | Ge | 2a | 4.60 | . |
4 | Zr | 4f | 5 | Fe | 6h | 2.93 | . |
4 | Zr | 4f | 6 | Fe | 6h | 2.94 | . |
4 | Zr | 4f | 7 | Fe | 6h | 2.94 | . |
4 | Zr | 4f | 8 | Fe | 6h | 2.93 | . |
4 | Zr | 4f | 9 | Fe | 6h | 2.93 | . |
4 | Zr | 4f | 10 | Fe | 6h | 2.94 | . |
4 | Zr | 4f | 11 | Ge | 2a | 4.60 | . |
4 | Zr | 4f | 12 | Ge | 2a | 2.95 | . |
5 | Fe | 6h | 6 | Fe | 6h | 4.37 | . |
5 | Fe | 6h | 7 | Fe | 6h | 4.37 | . |
5 | Fe | 6h | 8 | Fe | 6h | 2.42 | . |
5 | Fe | 6h | 9 | Fe | 6h | 2.42 | . |
5 | Fe | 6h | 10 | Fe | 6h | 4.99 | . |
5 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
5 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
6 | Fe | 6h | 7 | Fe | 6h | 2.42 | . |
6 | Fe | 6h | 8 | Fe | 6h | 4.37 | . |
6 | Fe | 6h | 9 | Fe | 6h | 4.99 | . |
6 | Fe | 6h | 10 | Fe | 6h | 2.42 | . |
6 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
6 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
7 | Fe | 6h | 8 | Fe | 6h | 4.99 | . |
7 | Fe | 6h | 9 | Fe | 6h | 4.37 | . |
7 | Fe | 6h | 10 | Fe | 6h | 2.42 | . |
7 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
7 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
8 | Fe | 6h | 9 | Fe | 6h | 2.42 | . |
8 | Fe | 6h | 10 | Fe | 6h | 4.37 | . |
8 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
8 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
9 | Fe | 6h | 10 | Fe | 6h | 4.37 | . |
9 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
9 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
10 | Fe | 6h | 11 | Ge | 2a | 2.54 | . |
10 | Fe | 6h | 12 | Ge | 2a | 2.54 | . |
11 | Ge | 2a | 12 | Ge | 2a | 4.10 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-21040 |