Crystal system |
orthorhombic |
Space group number |
59 |
Hermann-Mauguin |
Pmmn |
Hall |
P 2 2ab -1ab |
Point group |
mmm |
Normalized formula |
Zr3(MnGa3)2 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
22 |
The number of inequivalent sites per unit cell |
7 |
Structure search |
MP |
a (Å) |
5.4032 |
b (Å) |
8.7547 |
c (Å) |
7.7183 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
365.102 |
Density (g/cm3) |
7.294 |
DFT calculations (details) | |
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Formation energy (vs. elemental phases) |
-460.7 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Zr3(MnGa3)2 |
1 entry found |
Compounds with the same elements: Zr-Mn-Ga |
2 entries found |
Binary compounds in Zr-Mn system |
7 entries found |
Binary compounds in Zr-Ga system |
No entries found |
Binary compounds in Mn-Ga system |
13 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
7.65 μB/cell |
Averaged magnetic moment |
0.35 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.24 T (= 191.0 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 | Zr | 4e | 0.500000 | 0.152937 | 0.780694 | -0.11 | . | . |
2 | Zr | 4e | 0.500000 | 0.152937 | 0.219306 | -0.11 | . | . |
3 | Zr | 4e | 0.000000 | 0.847063 | 0.719306 | -0.11 | . | . |
4 | Zr | 4e | 0.000000 | 0.847063 | 0.280694 | -0.11 | . | . |
5 | Zr | 2a | 0.500000 | 0.719900 | 0.500000 | -0.14 | . | . |
6 | Zr | 2a | 0.000000 | 0.280100 | 0.000000 | -0.14 | . | . |
7 | Mn | 4d | 0.250000 | 0.500000 | 0.250000 | 2.25 | . | . |
8 | Mn | 4d | 0.250000 | 0.500000 | 0.750000 | 2.25 | . | . |
9 | Mn | 4d | 0.750000 | 0.500000 | 0.250000 | 2.25 | . | . |
10 | Mn | 4d | 0.750000 | 0.500000 | 0.750000 | 2.25 | . | . |
11 | Ga | 4e | 0.500000 | 0.763928 | 0.186942 | -0.03 | . | . |
12 | Ga | 4e | 0.500000 | 0.763928 | 0.813058 | -0.03 | . | . |
13 | Ga | 4e | 0.000000 | 0.236072 | 0.313058 | -0.03 | . | . |
14 | Ga | 4e | 0.000000 | 0.236072 | 0.686942 | -0.03 | . | . |
15 | Ga | 2a | 0.500000 | 0.367491 | 0.500000 | -0.04 | . | . |
16 | Ga | 2a | 0.000000 | 0.632509 | 0.000000 | -0.04 | . | . |
17 | Ga | 2b | 0.000000 | 0.563910 | 0.500000 | -0.05 | . | . |
18 | Ga | 2b | 0.500000 | 0.436090 | 0.000000 | -0.05 | . | . |
19 | Ga | 4f | 0.260321 | 0.043509 | 0.500000 | 0.01 | . | . |
20 | Ga | 4f | 0.739679 | 0.043509 | 0.500000 | 0.01 | . | . |
21 | Ga | 4f | 0.239679 | 0.956491 | 0.000000 | 0.01 | . | . |
22 | Ga | 4f | 0.760321 | 0.956491 | 0.000000 | 0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 4e | 2 | Zr | 4e | 3.39 | . |
1 | Zr | 4e | 3 | Zr | 4e | 3.83 | . |
1 | Zr | 4e | 4 | Zr | 4e | 5.42 | . |
1 | Zr | 4e | 5 | Zr | 2a | 4.37 | . |
1 | Zr | 4e | 6 | Zr | 2a | 3.38 | . |
1 | Zr | 4e | 7 | Mn | 4d | 4.92 | . |
1 | Zr | 4e | 8 | Mn | 4d | 3.33 | . |
1 | Zr | 4e | 9 | Mn | 4d | 4.92 | . |
1 | Zr | 4e | 10 | Mn | 4d | 3.33 | . |
1 | Zr | 4e | 11 | Ga | 4e | 4.63 | . |
1 | Zr | 4e | 12 | Ga | 4e | 3.41 | . |
1 | Zr | 4e | 13 | Ga | 4e | 4.57 | . |
1 | Zr | 4e | 14 | Ga | 4e | 2.89 | . |
1 | Zr | 4e | 15 | Ga | 2a | 2.87 | . |
1 | Zr | 4e | 16 | Ga | 2a | 5.27 | . |
1 | Zr | 4e | 17 | Ga | 2b | 4.99 | . |
1 | Zr | 4e | 18 | Ga | 2b | 3.00 | . |
1 | Zr | 4e | 19 | Ga | 4f | 2.70 | . |
1 | Zr | 4e | 20 | Ga | 4f | 2.70 | . |
1 | Zr | 4e | 21 | Ga | 4f | 2.79 | . |
1 | Zr | 4e | 22 | Ga | 4f | 2.79 | . |
2 | Zr | 4e | 3 | Zr | 4e | 5.42 | . |
2 | Zr | 4e | 4 | Zr | 4e | 3.83 | . |
2 | Zr | 4e | 5 | Zr | 2a | 4.37 | . |
2 | Zr | 4e | 6 | Zr | 2a | 3.38 | . |
2 | Zr | 4e | 7 | Mn | 4d | 3.33 | . |
2 | Zr | 4e | 8 | Mn | 4d | 4.92 | . |
2 | Zr | 4e | 9 | Mn | 4d | 3.33 | . |
2 | Zr | 4e | 10 | Mn | 4d | 4.92 | . |
2 | Zr | 4e | 11 | Ga | 4e | 3.41 | . |
2 | Zr | 4e | 12 | Ga | 4e | 4.63 | . |
2 | Zr | 4e | 13 | Ga | 4e | 2.89 | . |
2 | Zr | 4e | 14 | Ga | 4e | 4.57 | . |
2 | Zr | 4e | 15 | Ga | 2a | 2.87 | . |
2 | Zr | 4e | 16 | Ga | 2a | 5.27 | . |
2 | Zr | 4e | 17 | Ga | 2b | 4.99 | . |
2 | Zr | 4e | 18 | Ga | 2b | 3.00 | . |
2 | Zr | 4e | 19 | Ga | 4f | 2.70 | . |
2 | Zr | 4e | 20 | Ga | 4f | 2.70 | . |
2 | Zr | 4e | 21 | Ga | 4f | 2.79 | . |
2 | Zr | 4e | 22 | Ga | 4f | 2.79 | . |
3 | Zr | 4e | 4 | Zr | 4e | 3.39 | . |
3 | Zr | 4e | 5 | Zr | 2a | 3.38 | . |
3 | Zr | 4e | 6 | Zr | 2a | 4.37 | . |
3 | Zr | 4e | 7 | Mn | 4d | 4.92 | . |
3 | Zr | 4e | 8 | Mn | 4d | 3.33 | . |
3 | Zr | 4e | 9 | Mn | 4d | 4.92 | . |
3 | Zr | 4e | 10 | Mn | 4d | 3.33 | . |
3 | Zr | 4e | 11 | Ga | 4e | 4.57 | . |
3 | Zr | 4e | 12 | Ga | 4e | 2.89 | . |
3 | Zr | 4e | 13 | Ga | 4e | 4.63 | . |
3 | Zr | 4e | 14 | Ga | 4e | 3.41 | . |
3 | Zr | 4e | 15 | Ga | 2a | 5.27 | . |
3 | Zr | 4e | 16 | Ga | 2a | 2.87 | . |
3 | Zr | 4e | 17 | Ga | 2b | 3.00 | . |
3 | Zr | 4e | 18 | Ga | 2b | 4.99 | . |
3 | Zr | 4e | 19 | Ga | 4f | 2.79 | . |
3 | Zr | 4e | 20 | Ga | 4f | 2.79 | . |
3 | Zr | 4e | 21 | Ga | 4f | 2.70 | . |
3 | Zr | 4e | 22 | Ga | 4f | 2.70 | . |
4 | Zr | 4e | 5 | Zr | 2a | 3.38 | . |
4 | Zr | 4e | 6 | Zr | 2a | 4.37 | . |
4 | Zr | 4e | 7 | Mn | 4d | 3.33 | . |
4 | Zr | 4e | 8 | Mn | 4d | 4.92 | . |
4 | Zr | 4e | 9 | Mn | 4d | 3.33 | . |
4 | Zr | 4e | 10 | Mn | 4d | 4.92 | . |
4 | Zr | 4e | 11 | Ga | 4e | 2.89 | . |
4 | Zr | 4e | 12 | Ga | 4e | 4.57 | . |
4 | Zr | 4e | 13 | Ga | 4e | 3.41 | . |
4 | Zr | 4e | 14 | Ga | 4e | 4.63 | . |
4 | Zr | 4e | 15 | Ga | 2a | 5.27 | . |
4 | Zr | 4e | 16 | Ga | 2a | 2.87 | . |
4 | Zr | 4e | 17 | Ga | 2b | 3.00 | . |
4 | Zr | 4e | 18 | Ga | 2b | 4.99 | . |
4 | Zr | 4e | 19 | Ga | 4f | 2.79 | . |
4 | Zr | 4e | 20 | Ga | 4f | 2.79 | . |
4 | Zr | 4e | 21 | Ga | 4f | 2.70 | . |
4 | Zr | 4e | 22 | Ga | 4f | 2.70 | . |
5 | Zr | 2a | 6 | Zr | 2a | 6.08 | . |
5 | Zr | 2a | 7 | Mn | 4d | 3.04 | . |
5 | Zr | 2a | 8 | Mn | 4d | 3.04 | . |
5 | Zr | 2a | 9 | Mn | 4d | 3.04 | . |
5 | Zr | 2a | 10 | Mn | 4d | 3.04 | . |
5 | Zr | 2a | 11 | Ga | 4e | 2.45 | . |
5 | Zr | 2a | 12 | Ga | 4e | 2.45 | . |
5 | Zr | 2a | 13 | Ga | 4e | 5.23 | . |
5 | Zr | 2a | 14 | Ga | 4e | 5.23 | . |
5 | Zr | 2a | 15 | Ga | 2a | 3.09 | . |
5 | Zr | 2a | 16 | Ga | 2a | 4.77 | . |
5 | Zr | 2a | 17 | Ga | 2b | 3.03 | . |
5 | Zr | 2a | 18 | Ga | 2b | 4.59 | . |
5 | Zr | 2a | 19 | Ga | 4f | 3.12 | . |
5 | Zr | 2a | 20 | Ga | 4f | 3.12 | . |
5 | Zr | 2a | 21 | Ga | 4f | 4.60 | . |
5 | Zr | 2a | 22 | Ga | 4f | 4.60 | . |
6 | Zr | 2a | 7 | Mn | 4d | 3.04 | . |
6 | Zr | 2a | 8 | Mn | 4d | 3.04 | . |
6 | Zr | 2a | 9 | Mn | 4d | 3.04 | . |
6 | Zr | 2a | 10 | Mn | 4d | 3.04 | . |
6 | Zr | 2a | 11 | Ga | 4e | 5.23 | . |
6 | Zr | 2a | 12 | Ga | 4e | 5.23 | . |
6 | Zr | 2a | 13 | Ga | 4e | 2.45 | . |
6 | Zr | 2a | 14 | Ga | 4e | 2.45 | . |
6 | Zr | 2a | 15 | Ga | 2a | 4.77 | . |
6 | Zr | 2a | 16 | Ga | 2a | 3.09 | . |
6 | Zr | 2a | 17 | Ga | 2b | 4.59 | . |
6 | Zr | 2a | 18 | Ga | 2b | 3.03 | . |
6 | Zr | 2a | 19 | Ga | 4f | 4.60 | . |
6 | Zr | 2a | 20 | Ga | 4f | 4.60 | . |
6 | Zr | 2a | 21 | Ga | 4f | 3.12 | . |
6 | Zr | 2a | 22 | Ga | 4f | 3.12 | . |
7 | Mn | 4d | 8 | Mn | 4d | 3.86 | . |
7 | Mn | 4d | 9 | Mn | 4d | 2.70 | . |
7 | Mn | 4d | 10 | Mn | 4d | 4.71 | . |
7 | Mn | 4d | 11 | Ga | 4e | 2.72 | . |
7 | Mn | 4d | 12 | Ga | 4e | 4.31 | . |
7 | Mn | 4d | 13 | Ga | 4e | 2.72 | . |
7 | Mn | 4d | 14 | Ga | 4e | 4.31 | . |
7 | Mn | 4d | 15 | Ga | 2a | 2.63 | . |
7 | Mn | 4d | 16 | Ga | 2a | 2.63 | . |
7 | Mn | 4d | 17 | Ga | 2b | 2.42 | . |
7 | Mn | 4d | 18 | Ga | 2b | 2.42 | . |
7 | Mn | 4d | 19 | Ga | 4f | 4.44 | . |
7 | Mn | 4d | 20 | Ga | 4f | 5.17 | . |
7 | Mn | 4d | 21 | Ga | 4f | 4.44 | . |
7 | Mn | 4d | 22 | Ga | 4f | 5.17 | . |
8 | Mn | 4d | 9 | Mn | 4d | 4.71 | . |
8 | Mn | 4d | 10 | Mn | 4d | 2.70 | . |
8 | Mn | 4d | 11 | Ga | 4e | 4.31 | . |
8 | Mn | 4d | 12 | Ga | 4e | 2.72 | . |
8 | Mn | 4d | 13 | Ga | 4e | 4.31 | . |
8 | Mn | 4d | 14 | Ga | 4e | 2.72 | . |
8 | Mn | 4d | 15 | Ga | 2a | 2.63 | . |
8 | Mn | 4d | 16 | Ga | 2a | 2.63 | . |
8 | Mn | 4d | 17 | Ga | 2b | 2.42 | . |
8 | Mn | 4d | 18 | Ga | 2b | 2.42 | . |
8 | Mn | 4d | 19 | Ga | 4f | 4.44 | . |
8 | Mn | 4d | 20 | Ga | 4f | 5.17 | . |
8 | Mn | 4d | 21 | Ga | 4f | 4.44 | . |
8 | Mn | 4d | 22 | Ga | 4f | 5.17 | . |
9 | Mn | 4d | 10 | Mn | 4d | 3.86 | . |
9 | Mn | 4d | 11 | Ga | 4e | 2.72 | . |
9 | Mn | 4d | 12 | Ga | 4e | 4.31 | . |
9 | Mn | 4d | 13 | Ga | 4e | 2.72 | . |
9 | Mn | 4d | 14 | Ga | 4e | 4.31 | . |
9 | Mn | 4d | 15 | Ga | 2a | 2.63 | . |
9 | Mn | 4d | 16 | Ga | 2a | 2.63 | . |
9 | Mn | 4d | 17 | Ga | 2b | 2.42 | . |
9 | Mn | 4d | 18 | Ga | 2b | 2.42 | . |
9 | Mn | 4d | 19 | Ga | 4f | 5.17 | . |
9 | Mn | 4d | 20 | Ga | 4f | 4.44 | . |
9 | Mn | 4d | 21 | Ga | 4f | 5.17 | . |
9 | Mn | 4d | 22 | Ga | 4f | 4.44 | . |
10 | Mn | 4d | 11 | Ga | 4e | 4.31 | . |
10 | Mn | 4d | 12 | Ga | 4e | 2.72 | . |
10 | Mn | 4d | 13 | Ga | 4e | 4.31 | . |
10 | Mn | 4d | 14 | Ga | 4e | 2.72 | . |
10 | Mn | 4d | 15 | Ga | 2a | 2.63 | . |
10 | Mn | 4d | 16 | Ga | 2a | 2.63 | . |
10 | Mn | 4d | 17 | Ga | 2b | 2.42 | . |
10 | Mn | 4d | 18 | Ga | 2b | 2.42 | . |
10 | Mn | 4d | 19 | Ga | 4f | 5.17 | . |
10 | Mn | 4d | 20 | Ga | 4f | 4.44 | . |
10 | Mn | 4d | 21 | Ga | 4f | 5.17 | . |
10 | Mn | 4d | 22 | Ga | 4f | 4.44 | . |
11 | Ga | 4e | 12 | Ga | 4e | 2.89 | . |
11 | Ga | 4e | 13 | Ga | 4e | 5.03 | . |
11 | Ga | 4e | 14 | Ga | 4e | 6.27 | . |
11 | Ga | 4e | 15 | Ga | 2a | 4.23 | . |
11 | Ga | 4e | 16 | Ga | 2a | 3.27 | . |
11 | Ga | 4e | 17 | Ga | 2b | 4.03 | . |
11 | Ga | 4e | 18 | Ga | 2b | 3.21 | . |
11 | Ga | 4e | 19 | Ga | 4f | 3.68 | . |
11 | Ga | 4e | 20 | Ga | 4f | 3.68 | . |
11 | Ga | 4e | 21 | Ga | 4f | 2.63 | . |
11 | Ga | 4e | 22 | Ga | 4f | 2.63 | . |
12 | Ga | 4e | 13 | Ga | 4e | 6.27 | . |
12 | Ga | 4e | 14 | Ga | 4e | 5.03 | . |
12 | Ga | 4e | 15 | Ga | 2a | 4.23 | . |
12 | Ga | 4e | 16 | Ga | 2a | 3.27 | . |
12 | Ga | 4e | 17 | Ga | 2b | 4.03 | . |
12 | Ga | 4e | 18 | Ga | 2b | 3.21 | . |
12 | Ga | 4e | 19 | Ga | 4f | 3.68 | . |
12 | Ga | 4e | 20 | Ga | 4f | 3.68 | . |
12 | Ga | 4e | 21 | Ga | 4f | 2.63 | . |
12 | Ga | 4e | 22 | Ga | 4f | 2.63 | . |
13 | Ga | 4e | 14 | Ga | 4e | 2.89 | . |
13 | Ga | 4e | 15 | Ga | 2a | 3.27 | . |
13 | Ga | 4e | 16 | Ga | 2a | 4.23 | . |
13 | Ga | 4e | 17 | Ga | 2b | 3.21 | . |
13 | Ga | 4e | 18 | Ga | 2b | 4.03 | . |
13 | Ga | 4e | 19 | Ga | 4f | 2.63 | . |
13 | Ga | 4e | 20 | Ga | 4f | 2.63 | . |
13 | Ga | 4e | 21 | Ga | 4f | 3.68 | . |
13 | Ga | 4e | 22 | Ga | 4f | 3.68 | . |
14 | Ga | 4e | 15 | Ga | 2a | 3.27 | . |
14 | Ga | 4e | 16 | Ga | 2a | 4.23 | . |
14 | Ga | 4e | 17 | Ga | 2b | 3.21 | . |
14 | Ga | 4e | 18 | Ga | 2b | 4.03 | . |
14 | Ga | 4e | 19 | Ga | 4f | 2.63 | . |
14 | Ga | 4e | 20 | Ga | 4f | 2.63 | . |
14 | Ga | 4e | 21 | Ga | 4f | 3.68 | . |
14 | Ga | 4e | 22 | Ga | 4f | 3.68 | . |
15 | Ga | 2a | 16 | Ga | 2a | 5.25 | . |
15 | Ga | 2a | 17 | Ga | 2b | 3.20 | . |
15 | Ga | 2a | 18 | Ga | 2b | 3.91 | . |
15 | Ga | 2a | 19 | Ga | 4f | 3.12 | . |
15 | Ga | 2a | 20 | Ga | 4f | 3.12 | . |
15 | Ga | 2a | 21 | Ga | 4f | 5.46 | . |
15 | Ga | 2a | 22 | Ga | 4f | 5.46 | . |
16 | Ga | 2a | 17 | Ga | 2b | 3.91 | . |
16 | Ga | 2a | 18 | Ga | 2b | 3.20 | . |
16 | Ga | 2a | 19 | Ga | 4f | 5.46 | . |
16 | Ga | 2a | 20 | Ga | 4f | 5.46 | . |
16 | Ga | 2a | 21 | Ga | 4f | 3.12 | . |
16 | Ga | 2a | 22 | Ga | 4f | 3.12 | . |
17 | Ga | 2b | 18 | Ga | 2b | 4.84 | . |
17 | Ga | 2b | 19 | Ga | 4f | 4.43 | . |
17 | Ga | 2b | 20 | Ga | 4f | 4.43 | . |
17 | Ga | 2b | 21 | Ga | 4f | 5.33 | . |
17 | Ga | 2b | 22 | Ga | 4f | 5.33 | . |
18 | Ga | 2b | 19 | Ga | 4f | 5.33 | . |
18 | Ga | 2b | 20 | Ga | 4f | 5.33 | . |
18 | Ga | 2b | 21 | Ga | 4f | 4.43 | . |
18 | Ga | 2b | 22 | Ga | 4f | 4.43 | . |
19 | Ga | 4f | 20 | Ga | 4f | 2.59 | . |
19 | Ga | 4f | 21 | Ga | 4f | 3.94 | . |
19 | Ga | 4f | 22 | Ga | 4f | 4.77 | . |
20 | Ga | 4f | 21 | Ga | 4f | 4.77 | . |
20 | Ga | 4f | 22 | Ga | 4f | 3.94 | . |
21 | Ga | 4f | 22 | Ga | 4f | 2.59 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1191025 |