Crystal system |
hexagonal |
Space group number |
187 |
Hermann-Mauguin |
P-6m2 |
Hall |
P -6 2 |
Point group |
-6m2 |
Normalized formula |
Mn6GaGe |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
8 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
5.1691 |
b (Å) |
5.1691 |
c (Å) |
4.1743 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
96.595 |
Density (g/cm3) |
8.114 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
7.3 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Mn6GaGe |
1 entry found |
Compounds with the same elements: Mn-Ga-Ge |
2 entries found |
Binary compounds in Mn-Ga system |
13 entries found |
Binary compounds in Mn-Ge system |
14 entries found |
Binary compounds in Ga-Ge system |
No entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
8.94 μB/cell |
Averaged magnetic moment |
1.12 μB/atom |
Magnetic polarization, Js = μ0Ms |
1.08 T (= 859.4 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 | Mn | 3j | 0.676261 | 0.838131 | 0.000000 | 1.44 | . | . |
2 | Mn | 3j | 0.161869 | 0.838131 | 0.000000 | 1.44 | . | . |
3 | Mn | 3j | 0.161869 | 0.323739 | 0.000000 | 1.44 | . | . |
4 | Mn | 3k | 0.318556 | 0.159278 | 0.500000 | 1.52 | . | . |
5 | Mn | 3k | 0.840722 | 0.159278 | 0.500000 | 1.52 | . | . |
6 | Mn | 3k | 0.840722 | 0.681444 | 0.500000 | 1.52 | . | . |
7 | Ga | 1b | 0.333333 | 0.666667 | 0.500000 | -0.07 | . | . |
8 | Ge | 1c | 0.666667 | 0.333333 | 0.000000 | -0.08 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 3j | 2 | Mn | 3j | 2.51 | . |
1 | Mn | 3j | 3 | Mn | 3j | 2.51 | . |
1 | Mn | 3j | 4 | Mn | 3k | 3.55 | . |
1 | Mn | 3j | 5 | Mn | 3k | 2.53 | . |
1 | Mn | 3j | 6 | Mn | 3k | 2.53 | . |
1 | Mn | 3j | 7 | Ga | 1b | 2.59 | . |
1 | Mn | 3j | 8 | Ge | 1c | 2.58 | . |
2 | Mn | 3j | 3 | Mn | 3j | 2.51 | . |
2 | Mn | 3j | 4 | Mn | 3k | 2.53 | . |
2 | Mn | 3j | 5 | Mn | 3k | 3.55 | . |
2 | Mn | 3j | 6 | Mn | 3k | 2.53 | . |
2 | Mn | 3j | 7 | Ga | 1b | 2.59 | . |
2 | Mn | 3j | 8 | Ge | 1c | 2.58 | . |
3 | Mn | 3j | 4 | Mn | 3k | 2.53 | . |
3 | Mn | 3j | 5 | Mn | 3k | 2.53 | . |
3 | Mn | 3j | 6 | Mn | 3k | 3.55 | . |
3 | Mn | 3j | 7 | Ga | 1b | 2.59 | . |
3 | Mn | 3j | 8 | Ge | 1c | 2.58 | . |
4 | Mn | 3k | 5 | Mn | 3k | 2.47 | . |
4 | Mn | 3k | 6 | Mn | 3k | 2.47 | . |
4 | Mn | 3k | 7 | Ga | 1b | 2.59 | . |
4 | Mn | 3k | 8 | Ge | 1c | 2.60 | . |
5 | Mn | 3k | 6 | Mn | 3k | 2.47 | . |
5 | Mn | 3k | 7 | Ga | 1b | 2.59 | . |
5 | Mn | 3k | 8 | Ge | 1c | 2.60 | . |
6 | Mn | 3k | 7 | Ga | 1b | 2.59 | . |
6 | Mn | 3k | 8 | Ge | 1c | 2.60 | . |
7 | Ga | 1b | 8 | Ge | 1c | 3.64 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1221938 |