Crystal system |
hexagonal |
Space group number |
187 |
Hermann-Mauguin |
P-6m2 |
Hall |
P -6 2 |
Point group |
-6m2 |
Normalized formula |
Mn4Ga3Cu2 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
18 |
The number of inequivalent sites per unit cell |
11 |
Structure search |
MP |
a (Å) |
4.1996 |
b (Å) |
4.1996 |
c (Å) |
15.9431 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
243.517 |
Density (g/cm3) |
7.583 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
21.4 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Mn4Ga3Cu2 |
1 entry found |
Compounds with the same elements: Mn-Ga-Cu |
3 entries found |
Binary compounds in Mn-Ga system |
13 entries found |
Binary compounds in Mn-Cu system |
2 entries found |
Binary compounds in Ga-Cu system |
No entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
19.49 μB/cell |
Averaged magnetic moment |
1.08 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.93 T (= 740.1 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 | 2i | 0.666667 | 0.333333 | 0.666911 | 0.94 | . | . |
2 | Mn | 2i | 0.666667 | 0.333333 | 0.333089 | 0.94 | . | . |
3 | Mn | 2h | 0.333333 | 0.666667 | 0.082827 | 3.06 | . | . |
4 | Mn | 2h | 0.333333 | 0.666667 | 0.747783 | 2.73 | . | . |
5 | Mn | 2h | 0.333333 | 0.666667 | 0.414025 | 2.79 | . | . |
6 | Mn | 2h | 0.333333 | 0.666667 | 0.252217 | 2.73 | . | . |
7 | Mn | 2h | 0.333333 | 0.666667 | 0.917173 | 3.06 | . | . |
8 | Mn | 2h | 0.333333 | 0.666667 | 0.585975 | 2.79 | . | . |
9 | Ga | 1a | 0.000000 | 0.000000 | 0.000000 | -0.06 | . | . |
10 | Ga | 2g | 0.000000 | 0.000000 | 0.666990 | -0.04 | . | . |
11 | Ga | 2g | 0.000000 | 0.000000 | 0.333010 | -0.04 | . | . |
12 | Ga | 2i | 0.666667 | 0.333333 | 0.167646 | -0.07 | . | . |
13 | Ga | 2i | 0.666667 | 0.333333 | 0.832354 | -0.07 | . | . |
14 | Ga | 1f | 0.666667 | 0.333333 | 0.500000 | -0.06 | . | . |
15 | Cu | 2g | 0.000000 | 0.000000 | 0.168089 | 0.03 | . | . |
16 | Cu | 2g | 0.000000 | 0.000000 | 0.831911 | 0.03 | . | . |
17 | Cu | 1b | 0.000000 | 0.000000 | 0.500000 | 0.02 | . | . |
18 | Cu | 1e | 0.666667 | 0.333333 | 0.000000 | 0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 2i | 2 | Mn | 2i | 5.32 | . |
1 | Mn | 2i | 3 | Mn | 2h | 7.06 | . |
1 | Mn | 2i | 4 | Mn | 2h | 2.75 | . |
1 | Mn | 2i | 5 | Mn | 2h | 4.70 | . |
1 | Mn | 2i | 6 | Mn | 2h | 7.04 | . |
1 | Mn | 2i | 7 | Mn | 2h | 4.67 | . |
1 | Mn | 2i | 8 | Mn | 2h | 2.75 | . |
1 | Mn | 2i | 9 | Ga | 1a | 5.84 | . |
1 | Mn | 2i | 10 | Ga | 2g | 2.42 | . |
1 | Mn | 2i | 11 | Ga | 2g | 5.85 | . |
1 | Mn | 2i | 12 | Ga | 2i | 7.96 | . |
1 | Mn | 2i | 13 | Ga | 2i | 2.64 | . |
1 | Mn | 2i | 14 | Ga | 1f | 2.66 | . |
1 | Mn | 2i | 15 | Cu | 2g | 8.31 | . |
1 | Mn | 2i | 16 | Cu | 2g | 3.58 | . |
1 | Mn | 2i | 17 | Cu | 1b | 3.60 | . |
1 | Mn | 2i | 18 | Cu | 1e | 5.31 | . |
2 | Mn | 2i | 3 | Mn | 2h | 4.67 | . |
2 | Mn | 2i | 4 | Mn | 2h | 7.04 | . |
2 | Mn | 2i | 5 | Mn | 2h | 2.75 | . |
2 | Mn | 2i | 6 | Mn | 2h | 2.75 | . |
2 | Mn | 2i | 7 | Mn | 2h | 7.06 | . |
2 | Mn | 2i | 8 | Mn | 2h | 4.70 | . |
2 | Mn | 2i | 9 | Ga | 1a | 5.84 | . |
2 | Mn | 2i | 10 | Ga | 2g | 5.85 | . |
2 | Mn | 2i | 11 | Ga | 2g | 2.42 | . |
2 | Mn | 2i | 12 | Ga | 2i | 2.64 | . |
2 | Mn | 2i | 13 | Ga | 2i | 7.96 | . |
2 | Mn | 2i | 14 | Ga | 1f | 2.66 | . |
2 | Mn | 2i | 15 | Cu | 2g | 3.58 | . |
2 | Mn | 2i | 16 | Cu | 2g | 8.31 | . |
2 | Mn | 2i | 17 | Cu | 1b | 3.60 | . |
2 | Mn | 2i | 18 | Cu | 1e | 5.31 | . |
3 | Mn | 2h | 4 | Mn | 2h | 5.34 | . |
3 | Mn | 2h | 5 | Mn | 2h | 5.28 | . |
3 | Mn | 2h | 6 | Mn | 2h | 2.70 | . |
3 | Mn | 2h | 7 | Mn | 2h | 2.64 | . |
3 | Mn | 2h | 8 | Mn | 2h | 7.92 | . |
3 | Mn | 2h | 9 | Ga | 1a | 2.76 | . |
3 | Mn | 2h | 10 | Ga | 2g | 7.06 | . |
3 | Mn | 2h | 11 | Ga | 2g | 4.67 | . |
3 | Mn | 2h | 12 | Ga | 2i | 2.78 | . |
3 | Mn | 2h | 13 | Ga | 2i | 4.67 | . |
3 | Mn | 2h | 14 | Ga | 1f | 7.08 | . |
3 | Mn | 2h | 15 | Cu | 2g | 2.78 | . |
3 | Mn | 2h | 16 | Cu | 2g | 4.68 | . |
3 | Mn | 2h | 17 | Cu | 1b | 7.08 | . |
3 | Mn | 2h | 18 | Cu | 1e | 2.76 | . |
4 | Mn | 2h | 5 | Mn | 2h | 5.32 | . |
4 | Mn | 2h | 6 | Mn | 2h | 7.90 | . |
4 | Mn | 2h | 7 | Mn | 2h | 2.70 | . |
4 | Mn | 2h | 8 | Mn | 2h | 2.58 | . |
4 | Mn | 2h | 9 | Ga | 1a | 4.70 | . |
4 | Mn | 2h | 10 | Ga | 2g | 2.75 | . |
4 | Mn | 2h | 11 | Ga | 2g | 7.04 | . |
4 | Mn | 2h | 12 | Ga | 2i | 7.12 | . |
4 | Mn | 2h | 13 | Ga | 2i | 2.77 | . |
4 | Mn | 2h | 14 | Ga | 1f | 4.64 | . |
4 | Mn | 2h | 15 | Cu | 2g | 7.13 | . |
4 | Mn | 2h | 16 | Cu | 2g | 2.77 | . |
4 | Mn | 2h | 17 | Cu | 1b | 4.64 | . |
4 | Mn | 2h | 18 | Cu | 1e | 4.70 | . |
5 | Mn | 2h | 6 | Mn | 2h | 2.58 | . |
5 | Mn | 2h | 7 | Mn | 2h | 7.92 | . |
5 | Mn | 2h | 8 | Mn | 2h | 2.74 | . |
5 | Mn | 2h | 9 | Ga | 1a | 7.03 | . |
5 | Mn | 2h | 10 | Ga | 2g | 4.71 | . |
5 | Mn | 2h | 11 | Ga | 2g | 2.75 | . |
5 | Mn | 2h | 12 | Ga | 2i | 4.62 | . |
5 | Mn | 2h | 13 | Ga | 2i | 7.10 | . |
5 | Mn | 2h | 14 | Ga | 1f | 2.79 | . |
5 | Mn | 2h | 15 | Cu | 2g | 4.61 | . |
5 | Mn | 2h | 16 | Cu | 2g | 7.09 | . |
5 | Mn | 2h | 17 | Cu | 1b | 2.79 | . |
5 | Mn | 2h | 18 | Cu | 1e | 7.03 | . |
6 | Mn | 2h | 7 | Mn | 2h | 5.34 | . |
6 | Mn | 2h | 8 | Mn | 2h | 5.32 | . |
6 | Mn | 2h | 9 | Ga | 1a | 4.70 | . |
6 | Mn | 2h | 10 | Ga | 2g | 7.04 | . |
6 | Mn | 2h | 11 | Ga | 2g | 2.75 | . |
6 | Mn | 2h | 12 | Ga | 2i | 2.77 | . |
6 | Mn | 2h | 13 | Ga | 2i | 7.12 | . |
6 | Mn | 2h | 14 | Ga | 1f | 4.64 | . |
6 | Mn | 2h | 15 | Cu | 2g | 2.77 | . |
6 | Mn | 2h | 16 | Cu | 2g | 7.13 | . |
6 | Mn | 2h | 17 | Cu | 1b | 4.64 | . |
6 | Mn | 2h | 18 | Cu | 1e | 4.70 | . |
7 | Mn | 2h | 8 | Mn | 2h | 5.28 | . |
7 | Mn | 2h | 9 | Ga | 1a | 2.76 | . |
7 | Mn | 2h | 10 | Ga | 2g | 4.67 | . |
7 | Mn | 2h | 11 | Ga | 2g | 7.06 | . |
7 | Mn | 2h | 12 | Ga | 2i | 4.67 | . |
7 | Mn | 2h | 13 | Ga | 2i | 2.78 | . |
7 | Mn | 2h | 14 | Ga | 1f | 7.08 | . |
7 | Mn | 2h | 15 | Cu | 2g | 4.68 | . |
7 | Mn | 2h | 16 | Cu | 2g | 2.78 | . |
7 | Mn | 2h | 17 | Cu | 1b | 7.08 | . |
7 | Mn | 2h | 18 | Cu | 1e | 2.76 | . |
8 | Mn | 2h | 9 | Ga | 1a | 7.03 | . |
8 | Mn | 2h | 10 | Ga | 2g | 2.75 | . |
8 | Mn | 2h | 11 | Ga | 2g | 4.71 | . |
8 | Mn | 2h | 12 | Ga | 2i | 7.10 | . |
8 | Mn | 2h | 13 | Ga | 2i | 4.62 | . |
8 | Mn | 2h | 14 | Ga | 1f | 2.79 | . |
8 | Mn | 2h | 15 | Cu | 2g | 7.09 | . |
8 | Mn | 2h | 16 | Cu | 2g | 4.61 | . |
8 | Mn | 2h | 17 | Cu | 1b | 2.79 | . |
8 | Mn | 2h | 18 | Cu | 1e | 7.03 | . |
9 | Ga | 1a | 10 | Ga | 2g | 5.31 | . |
9 | Ga | 1a | 11 | Ga | 2g | 5.31 | . |
9 | Ga | 1a | 12 | Ga | 2i | 3.61 | . |
9 | Ga | 1a | 13 | Ga | 2i | 3.61 | . |
9 | Ga | 1a | 14 | Ga | 1f | 8.33 | . |
9 | Ga | 1a | 15 | Cu | 2g | 2.68 | . |
9 | Ga | 1a | 16 | Cu | 2g | 2.68 | . |
9 | Ga | 1a | 17 | Cu | 1b | 7.97 | . |
9 | Ga | 1a | 18 | Cu | 1e | 2.42 | . |
10 | Ga | 2g | 11 | Ga | 2g | 5.32 | . |
10 | Ga | 2g | 12 | Ga | 2i | 8.32 | . |
10 | Ga | 2g | 13 | Ga | 2i | 3.58 | . |
10 | Ga | 2g | 14 | Ga | 1f | 3.60 | . |
10 | Ga | 2g | 15 | Cu | 2g | 7.95 | . |
10 | Ga | 2g | 16 | Cu | 2g | 2.63 | . |
10 | Ga | 2g | 17 | Cu | 1b | 2.66 | . |
10 | Ga | 2g | 18 | Cu | 1e | 5.84 | . |
11 | Ga | 2g | 12 | Ga | 2i | 3.58 | . |
11 | Ga | 2g | 13 | Ga | 2i | 8.32 | . |
11 | Ga | 2g | 14 | Ga | 1f | 3.60 | . |
11 | Ga | 2g | 15 | Cu | 2g | 2.63 | . |
11 | Ga | 2g | 16 | Cu | 2g | 7.95 | . |
11 | Ga | 2g | 17 | Cu | 1b | 2.66 | . |
11 | Ga | 2g | 18 | Cu | 1e | 5.84 | . |
12 | Ga | 2i | 13 | Ga | 2i | 5.35 | . |
12 | Ga | 2i | 14 | Ga | 1f | 5.30 | . |
12 | Ga | 2i | 15 | Cu | 2g | 2.42 | . |
12 | Ga | 2i | 16 | Cu | 2g | 5.88 | . |
12 | Ga | 2i | 17 | Cu | 1b | 5.83 | . |
12 | Ga | 2i | 18 | Cu | 1e | 2.67 | . |
13 | Ga | 2i | 14 | Ga | 1f | 5.30 | . |
13 | Ga | 2i | 15 | Cu | 2g | 5.88 | . |
13 | Ga | 2i | 16 | Cu | 2g | 2.42 | . |
13 | Ga | 2i | 17 | Cu | 1b | 5.83 | . |
13 | Ga | 2i | 18 | Cu | 1e | 2.67 | . |
14 | Ga | 1f | 15 | Cu | 2g | 5.82 | . |
14 | Ga | 1f | 16 | Cu | 2g | 5.82 | . |
14 | Ga | 1f | 17 | Cu | 1b | 2.42 | . |
14 | Ga | 1f | 18 | Cu | 1e | 7.97 | . |
15 | Cu | 2g | 16 | Cu | 2g | 5.36 | . |
15 | Cu | 2g | 17 | Cu | 1b | 5.29 | . |
15 | Cu | 2g | 18 | Cu | 1e | 3.61 | . |
16 | Cu | 2g | 17 | Cu | 1b | 5.29 | . |
16 | Cu | 2g | 18 | Cu | 1e | 3.61 | . |
17 | Cu | 1b | 18 | Cu | 1e | 8.33 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1222076 |