Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Mn2Cu3Ge |
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) |
4.8971 |
b (Å) |
4.8971 |
c (Å) |
7.7712 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
161.400 |
Density (g/cm3) |
7.678 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
91.7 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Mn2Cu3Ge |
1 entry found |
Compounds with the same elements: Mn-Cu-Ge |
3 entries found |
Binary compounds in Mn-Cu system |
2 entries found |
Binary compounds in Mn-Ge system |
14 entries found |
Binary compounds in Cu-Ge system |
No entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
15.05 μB/cell |
Averaged magnetic moment |
1.25 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.09 T (= 867.4 emu/cm3) |
LMTO-GF calculations (details) | |
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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 | Mn | 4f | 0.333333 | 0.666667 | 0.440264 | 3.69 | . | . |
2 | Mn | 4f | 0.666667 | 0.333333 | 0.559736 | 3.69 | . | . |
3 | Mn | 4f | 0.666667 | 0.333333 | 0.940264 | 3.69 | . | . |
4 | Mn | 4f | 0.333333 | 0.666667 | 0.059736 | 3.69 | . | . |
5 | Cu | 6h | 0.827929 | 0.172071 | 0.250000 | 0.05 | . | . |
6 | Cu | 6h | 0.827929 | 0.655858 | 0.250000 | 0.05 | . | . |
7 | Cu | 6h | 0.344142 | 0.172071 | 0.250000 | 0.05 | . | . |
8 | Cu | 6h | 0.172071 | 0.827929 | 0.750000 | 0.05 | . | . |
9 | Cu | 6h | 0.172071 | 0.344142 | 0.750000 | 0.05 | . | . |
10 | Cu | 6h | 0.655858 | 0.827929 | 0.750000 | 0.05 | . | . |
11 | Ge | 2a | 0.000000 | 0.000000 | 0.500000 | -0.06 | . | . |
12 | Ge | 2a | 0.000000 | 0.000000 | 0.000000 | -0.06 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 4f | 2 | Mn | 4f | 2.98 | . |
1 | Mn | 4f | 3 | Mn | 4f | 4.81 | . |
1 | Mn | 4f | 4 | Mn | 4f | 2.96 | . |
1 | Mn | 4f | 5 | Cu | 6h | 2.86 | . |
1 | Mn | 4f | 6 | Cu | 6h | 2.86 | . |
1 | Mn | 4f | 7 | Cu | 6h | 2.86 | . |
1 | Mn | 4f | 8 | Cu | 6h | 2.77 | . |
1 | Mn | 4f | 9 | Cu | 6h | 2.77 | . |
1 | Mn | 4f | 10 | Cu | 6h | 2.77 | . |
1 | Mn | 4f | 11 | Ge | 2a | 2.87 | . |
1 | Mn | 4f | 12 | Ge | 2a | 4.44 | . |
2 | Mn | 4f | 3 | Mn | 4f | 2.96 | . |
2 | Mn | 4f | 4 | Mn | 4f | 4.81 | . |
2 | Mn | 4f | 5 | Cu | 6h | 2.77 | . |
2 | Mn | 4f | 6 | Cu | 6h | 2.77 | . |
2 | Mn | 4f | 7 | Cu | 6h | 2.77 | . |
2 | Mn | 4f | 8 | Cu | 6h | 2.86 | . |
2 | Mn | 4f | 9 | Cu | 6h | 2.86 | . |
2 | Mn | 4f | 10 | Cu | 6h | 2.86 | . |
2 | Mn | 4f | 11 | Ge | 2a | 2.87 | . |
2 | Mn | 4f | 12 | Ge | 2a | 4.44 | . |
3 | Mn | 4f | 4 | Mn | 4f | 2.98 | . |
3 | Mn | 4f | 5 | Cu | 6h | 2.77 | . |
3 | Mn | 4f | 6 | Cu | 6h | 2.77 | . |
3 | Mn | 4f | 7 | Cu | 6h | 2.77 | . |
3 | Mn | 4f | 8 | Cu | 6h | 2.86 | . |
3 | Mn | 4f | 9 | Cu | 6h | 2.86 | . |
3 | Mn | 4f | 10 | Cu | 6h | 2.86 | . |
3 | Mn | 4f | 11 | Ge | 2a | 4.44 | . |
3 | Mn | 4f | 12 | Ge | 2a | 2.87 | . |
4 | Mn | 4f | 5 | Cu | 6h | 2.86 | . |
4 | Mn | 4f | 6 | Cu | 6h | 2.86 | . |
4 | Mn | 4f | 7 | Cu | 6h | 2.86 | . |
4 | Mn | 4f | 8 | Cu | 6h | 2.77 | . |
4 | Mn | 4f | 9 | Cu | 6h | 2.77 | . |
4 | Mn | 4f | 10 | Cu | 6h | 2.77 | . |
4 | Mn | 4f | 11 | Ge | 2a | 4.44 | . |
4 | Mn | 4f | 12 | Ge | 2a | 2.87 | . |
5 | Cu | 6h | 6 | Cu | 6h | 2.37 | . |
5 | Cu | 6h | 7 | Cu | 6h | 2.37 | . |
5 | Cu | 6h | 8 | Cu | 6h | 4.78 | . |
5 | Cu | 6h | 9 | Cu | 6h | 4.15 | . |
5 | Cu | 6h | 10 | Cu | 6h | 4.15 | . |
5 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
5 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
6 | Cu | 6h | 7 | Cu | 6h | 2.37 | . |
6 | Cu | 6h | 8 | Cu | 6h | 4.15 | . |
6 | Cu | 6h | 9 | Cu | 6h | 4.78 | . |
6 | Cu | 6h | 10 | Cu | 6h | 4.15 | . |
6 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
6 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
7 | Cu | 6h | 8 | Cu | 6h | 4.15 | . |
7 | Cu | 6h | 9 | Cu | 6h | 4.15 | . |
7 | Cu | 6h | 10 | Cu | 6h | 4.78 | . |
7 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
7 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
8 | Cu | 6h | 9 | Cu | 6h | 2.37 | . |
8 | Cu | 6h | 10 | Cu | 6h | 2.37 | . |
8 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
8 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
9 | Cu | 6h | 10 | Cu | 6h | 2.37 | . |
9 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
9 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
10 | Cu | 6h | 11 | Ge | 2a | 2.43 | . |
10 | Cu | 6h | 12 | Ge | 2a | 2.43 | . |
11 | Ge | 2a | 12 | Ge | 2a | 3.89 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1222088 |