Crystal system |
trigonal |
Space group number |
166 |
Hermann-Mauguin |
R-3m |
Hall |
-R 3 2" |
Point group |
-3m |
Normalized formula |
Mn4Cu |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
15 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
2.4916 |
b (Å) |
2.4916 |
c (Å) |
31.0596 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
166.982 |
Density (g/cm3) |
8.452 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
141.1 meV/atom |
Formation energy above hull |
141.1 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.01 μB/cell |
Averaged magnetic moment |
0.00 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.00 T (= 0.0 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 | 6c | 0.666667 | 0.333333 | 0.929680 | 0.01 | . | . |
2 | Mn | 6c | 0.333333 | 0.666667 | 0.867643 | -0.01 | . | . |
3 | Mn | 6c | 0.000000 | 0.000000 | 0.799023 | -0.01 | . | . |
4 | Mn | 6c | 0.666667 | 0.333333 | 0.736986 | 0.01 | . | . |
5 | Mn | 6c | 0.333333 | 0.666667 | 0.263014 | 0.01 | . | . |
6 | Mn | 6c | 0.000000 | 0.000000 | 0.200977 | -0.01 | . | . |
7 | Mn | 6c | 0.666667 | 0.333333 | 0.132357 | -0.01 | . | . |
8 | Mn | 6c | 0.333333 | 0.666667 | 0.070320 | 0.01 | . | . |
9 | Mn | 6c | 0.000000 | 0.000000 | 0.596347 | 0.00 | . | . |
10 | Mn | 6c | 0.666667 | 0.333333 | 0.534310 | -0.00 | . | . |
11 | Mn | 6c | 0.333333 | 0.666667 | 0.465690 | -0.00 | . | . |
12 | Mn | 6c | 0.000000 | 0.000000 | 0.403653 | 0.00 | . | . |
13 | Cu | 3a | 0.000000 | 0.000000 | 0.000000 | 0.00 | . | . |
14 | Cu | 3a | 0.666667 | 0.333333 | 0.333333 | 0.00 | . | . |
15 | Cu | 3a | 0.333333 | 0.666667 | 0.666667 | 0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Mn | 6c | 2 | Mn | 6c | 2.40 | . |
1 | Mn | 6c | 3 | Mn | 6c | 4.31 | . |
1 | Mn | 6c | 4 | Mn | 6c | 5.99 | . |
1 | Mn | 6c | 5 | Mn | 6c | 10.45 | . |
1 | Mn | 6c | 6 | Mn | 6c | 8.55 | . |
1 | Mn | 6c | 7 | Mn | 6c | 6.30 | . |
1 | Mn | 6c | 8 | Mn | 6c | 4.60 | . |
1 | Mn | 6c | 9 | Mn | 6c | 10.45 | . |
1 | Mn | 6c | 10 | Mn | 6c | 12.28 | . |
1 | Mn | 6c | 11 | Mn | 6c | 14.48 | . |
1 | Mn | 6c | 12 | Mn | 6c | 14.79 | . |
1 | Mn | 6c | 13 | Cu | 3a | 2.62 | . |
1 | Mn | 6c | 14 | Cu | 3a | 12.54 | . |
1 | Mn | 6c | 15 | Cu | 3a | 8.29 | . |
2 | Mn | 6c | 3 | Mn | 6c | 2.57 | . |
2 | Mn | 6c | 4 | Mn | 6c | 4.31 | . |
2 | Mn | 6c | 5 | Mn | 6c | 12.28 | . |
2 | Mn | 6c | 6 | Mn | 6c | 10.45 | . |
2 | Mn | 6c | 7 | Mn | 6c | 8.35 | . |
2 | Mn | 6c | 8 | Mn | 6c | 6.30 | . |
2 | Mn | 6c | 9 | Mn | 6c | 8.55 | . |
2 | Mn | 6c | 10 | Mn | 6c | 10.45 | . |
2 | Mn | 6c | 11 | Mn | 6c | 12.48 | . |
2 | Mn | 6c | 12 | Mn | 6c | 14.48 | . |
2 | Mn | 6c | 13 | Cu | 3a | 4.36 | . |
2 | Mn | 6c | 14 | Cu | 3a | 14.54 | . |
2 | Mn | 6c | 15 | Cu | 3a | 6.24 | . |
3 | Mn | 6c | 4 | Mn | 6c | 2.40 | . |
3 | Mn | 6c | 5 | Mn | 6c | 14.48 | . |
3 | Mn | 6c | 6 | Mn | 6c | 12.48 | . |
3 | Mn | 6c | 7 | Mn | 6c | 10.45 | . |
3 | Mn | 6c | 8 | Mn | 6c | 8.55 | . |
3 | Mn | 6c | 9 | Mn | 6c | 6.30 | . |
3 | Mn | 6c | 10 | Mn | 6c | 8.35 | . |
3 | Mn | 6c | 11 | Mn | 6c | 10.45 | . |
3 | Mn | 6c | 12 | Mn | 6c | 12.28 | . |
3 | Mn | 6c | 13 | Cu | 3a | 6.24 | . |
3 | Mn | 6c | 14 | Cu | 3a | 14.54 | . |
3 | Mn | 6c | 15 | Cu | 3a | 4.36 | . |
4 | Mn | 6c | 5 | Mn | 6c | 14.79 | . |
4 | Mn | 6c | 6 | Mn | 6c | 14.48 | . |
4 | Mn | 6c | 7 | Mn | 6c | 12.28 | . |
4 | Mn | 6c | 8 | Mn | 6c | 10.45 | . |
4 | Mn | 6c | 9 | Mn | 6c | 4.60 | . |
4 | Mn | 6c | 10 | Mn | 6c | 6.30 | . |
4 | Mn | 6c | 11 | Mn | 6c | 8.55 | . |
4 | Mn | 6c | 12 | Mn | 6c | 10.45 | . |
4 | Mn | 6c | 13 | Cu | 3a | 8.29 | . |
4 | Mn | 6c | 14 | Cu | 3a | 12.54 | . |
4 | Mn | 6c | 15 | Cu | 3a | 2.62 | . |
5 | Mn | 6c | 6 | Mn | 6c | 2.40 | . |
5 | Mn | 6c | 7 | Mn | 6c | 4.31 | . |
5 | Mn | 6c | 8 | Mn | 6c | 5.99 | . |
5 | Mn | 6c | 9 | Mn | 6c | 10.45 | . |
5 | Mn | 6c | 10 | Mn | 6c | 8.55 | . |
5 | Mn | 6c | 11 | Mn | 6c | 6.30 | . |
5 | Mn | 6c | 12 | Mn | 6c | 4.60 | . |
5 | Mn | 6c | 13 | Cu | 3a | 8.29 | . |
5 | Mn | 6c | 14 | Cu | 3a | 2.62 | . |
5 | Mn | 6c | 15 | Cu | 3a | 12.54 | . |
6 | Mn | 6c | 7 | Mn | 6c | 2.57 | . |
6 | Mn | 6c | 8 | Mn | 6c | 4.31 | . |
6 | Mn | 6c | 9 | Mn | 6c | 12.28 | . |
6 | Mn | 6c | 10 | Mn | 6c | 10.45 | . |
6 | Mn | 6c | 11 | Mn | 6c | 8.35 | . |
6 | Mn | 6c | 12 | Mn | 6c | 6.30 | . |
6 | Mn | 6c | 13 | Cu | 3a | 6.24 | . |
6 | Mn | 6c | 14 | Cu | 3a | 4.36 | . |
6 | Mn | 6c | 15 | Cu | 3a | 14.54 | . |
7 | Mn | 6c | 8 | Mn | 6c | 2.40 | . |
7 | Mn | 6c | 9 | Mn | 6c | 14.48 | . |
7 | Mn | 6c | 10 | Mn | 6c | 12.48 | . |
7 | Mn | 6c | 11 | Mn | 6c | 10.45 | . |
7 | Mn | 6c | 12 | Mn | 6c | 8.55 | . |
7 | Mn | 6c | 13 | Cu | 3a | 4.36 | . |
7 | Mn | 6c | 14 | Cu | 3a | 6.24 | . |
7 | Mn | 6c | 15 | Cu | 3a | 14.54 | . |
8 | Mn | 6c | 9 | Mn | 6c | 14.79 | . |
8 | Mn | 6c | 10 | Mn | 6c | 14.48 | . |
8 | Mn | 6c | 11 | Mn | 6c | 12.28 | . |
8 | Mn | 6c | 12 | Mn | 6c | 10.45 | . |
8 | Mn | 6c | 13 | Cu | 3a | 2.62 | . |
8 | Mn | 6c | 14 | Cu | 3a | 8.29 | . |
8 | Mn | 6c | 15 | Cu | 3a | 12.54 | . |
9 | Mn | 6c | 10 | Mn | 6c | 2.40 | . |
9 | Mn | 6c | 11 | Mn | 6c | 4.31 | . |
9 | Mn | 6c | 12 | Mn | 6c | 5.99 | . |
9 | Mn | 6c | 13 | Cu | 3a | 12.54 | . |
9 | Mn | 6c | 14 | Cu | 3a | 8.29 | . |
9 | Mn | 6c | 15 | Cu | 3a | 2.62 | . |
10 | Mn | 6c | 11 | Mn | 6c | 2.57 | . |
10 | Mn | 6c | 12 | Mn | 6c | 4.31 | . |
10 | Mn | 6c | 13 | Cu | 3a | 14.54 | . |
10 | Mn | 6c | 14 | Cu | 3a | 6.24 | . |
10 | Mn | 6c | 15 | Cu | 3a | 4.36 | . |
11 | Mn | 6c | 12 | Mn | 6c | 2.40 | . |
11 | Mn | 6c | 13 | Cu | 3a | 14.54 | . |
11 | Mn | 6c | 14 | Cu | 3a | 4.36 | . |
11 | Mn | 6c | 15 | Cu | 3a | 6.24 | . |
12 | Mn | 6c | 13 | Cu | 3a | 12.54 | . |
12 | Mn | 6c | 14 | Cu | 3a | 2.62 | . |
12 | Mn | 6c | 15 | Cu | 3a | 8.29 | . |
13 | Cu | 3a | 14 | Cu | 3a | 10.45 | . |
13 | Cu | 3a | 15 | Cu | 3a | 10.45 | . |
14 | Cu | 3a | 15 | Cu | 3a | 10.45 | . |
DFT calculations |
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LMTO-GF calculations |
|
References |
Materials Project: mp-1221725 |