Crystal system |
trigonal |
Space group number |
156 |
Hermann-Mauguin |
P3m1 |
Hall |
P 3 -2" |
Point group |
3m |
Normalized formula |
Zr3Mn8Si |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
8 |
Structure search |
MP |
a (Å) |
4.8525 |
b (Å) |
4.8525 |
c (Å) |
8.0499 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
164.156 |
Density (g/cm3) |
7.498 |
DFT calculations (details) | |
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Formation energy (vs. elemental phases) |
-177.8 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Zr3Mn8Si |
1 entry found |
Compounds with the same elements: Zr-Mn-Si |
5 entries found |
Binary compounds in Zr-Mn system |
7 entries found |
Binary compounds in Zr-Si system |
No entries found |
Binary compounds in Mn-Si system |
11 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
1.94 μB/cell |
Averaged magnetic moment |
0.16 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.14 T (= 111.4 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic easy axis |
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Magnetic hardness parameter, κ |
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index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 1b | 0.333333 | 0.666667 | 0.556043 | -0.05 | . | . |
2 | Zr | 1b | 0.333333 | 0.666667 | 0.935175 | -0.06 | . | . |
3 | Zr | 1a | 0.000000 | 0.000000 | 0.079240 | -0.04 | . | . |
4 | Mn | 1c | 0.666667 | 0.333333 | 0.496304 | 0.83 | . | . |
5 | Mn | 1c | 0.666667 | 0.333333 | 0.992856 | 1.17 | . | . |
6 | Mn | 3d | 0.495676 | 0.504324 | 0.256483 | 0.02 | . | . |
7 | Mn | 3d | 0.495676 | 0.991353 | 0.256483 | 0.02 | . | . |
8 | Mn | 3d | 0.008647 | 0.504324 | 0.256483 | 0.02 | . | . |
9 | Mn | 3d | 0.841015 | 0.158985 | 0.744979 | 0.03 | . | . |
10 | Mn | 3d | 0.841015 | 0.682031 | 0.744979 | 0.03 | . | . |
11 | Mn | 3d | 0.317969 | 0.158985 | 0.744979 | 0.03 | . | . |
12 | Si | 1a | 0.000000 | 0.000000 | 0.436055 | -0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 1b | 2 | Zr | 1b | 3.05 | . |
1 | Zr | 1b | 3 | Zr | 1a | 4.75 | . |
1 | Zr | 1b | 4 | Mn | 1c | 2.84 | . |
1 | Zr | 1b | 5 | Mn | 1c | 4.50 | . |
1 | Zr | 1b | 6 | Mn | 3d | 2.77 | . |
1 | Zr | 1b | 7 | Mn | 3d | 2.77 | . |
1 | Zr | 1b | 8 | Mn | 3d | 2.77 | . |
1 | Zr | 1b | 9 | Mn | 3d | 2.86 | . |
1 | Zr | 1b | 10 | Mn | 3d | 2.86 | . |
1 | Zr | 1b | 11 | Mn | 3d | 2.86 | . |
1 | Zr | 1b | 12 | Si | 1a | 2.96 | . |
2 | Zr | 1b | 3 | Zr | 1a | 3.03 | . |
2 | Zr | 1b | 4 | Mn | 1c | 4.51 | . |
2 | Zr | 1b | 5 | Mn | 1c | 2.84 | . |
2 | Zr | 1b | 6 | Mn | 3d | 2.92 | . |
2 | Zr | 1b | 7 | Mn | 3d | 2.92 | . |
2 | Zr | 1b | 8 | Mn | 3d | 2.92 | . |
2 | Zr | 1b | 9 | Mn | 3d | 2.87 | . |
2 | Zr | 1b | 10 | Mn | 3d | 2.87 | . |
2 | Zr | 1b | 11 | Mn | 3d | 2.87 | . |
2 | Zr | 1b | 12 | Si | 1a | 4.90 | . |
3 | Zr | 1a | 4 | Mn | 1c | 4.37 | . |
3 | Zr | 1a | 5 | Mn | 1c | 2.89 | . |
3 | Zr | 1a | 6 | Mn | 3d | 2.81 | . |
3 | Zr | 1a | 7 | Mn | 3d | 2.81 | . |
3 | Zr | 1a | 8 | Mn | 3d | 2.81 | . |
3 | Zr | 1a | 9 | Mn | 3d | 3.00 | . |
3 | Zr | 1a | 10 | Mn | 3d | 3.00 | . |
3 | Zr | 1a | 11 | Mn | 3d | 3.00 | . |
3 | Zr | 1a | 12 | Si | 1a | 2.87 | . |
4 | Mn | 1c | 5 | Mn | 1c | 4.00 | . |
4 | Mn | 1c | 6 | Mn | 3d | 2.41 | . |
4 | Mn | 1c | 7 | Mn | 3d | 2.41 | . |
4 | Mn | 1c | 8 | Mn | 3d | 2.41 | . |
4 | Mn | 1c | 9 | Mn | 3d | 2.48 | . |
4 | Mn | 1c | 10 | Mn | 3d | 2.48 | . |
4 | Mn | 1c | 11 | Mn | 3d | 2.48 | . |
4 | Mn | 1c | 12 | Si | 1a | 2.84 | . |
5 | Mn | 1c | 6 | Mn | 3d | 2.56 | . |
5 | Mn | 1c | 7 | Mn | 3d | 2.56 | . |
5 | Mn | 1c | 8 | Mn | 3d | 2.56 | . |
5 | Mn | 1c | 9 | Mn | 3d | 2.48 | . |
5 | Mn | 1c | 10 | Mn | 3d | 2.48 | . |
5 | Mn | 1c | 11 | Mn | 3d | 2.48 | . |
5 | Mn | 1c | 12 | Si | 1a | 4.54 | . |
6 | Mn | 3d | 7 | Mn | 3d | 2.36 | . |
6 | Mn | 3d | 8 | Mn | 3d | 2.36 | . |
6 | Mn | 3d | 9 | Mn | 3d | 4.80 | . |
6 | Mn | 3d | 10 | Mn | 3d | 4.19 | . |
6 | Mn | 3d | 11 | Mn | 3d | 4.19 | . |
6 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
7 | Mn | 3d | 8 | Mn | 3d | 2.36 | . |
7 | Mn | 3d | 9 | Mn | 3d | 4.19 | . |
7 | Mn | 3d | 10 | Mn | 3d | 4.80 | . |
7 | Mn | 3d | 11 | Mn | 3d | 4.19 | . |
7 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
8 | Mn | 3d | 9 | Mn | 3d | 4.19 | . |
8 | Mn | 3d | 10 | Mn | 3d | 4.19 | . |
8 | Mn | 3d | 11 | Mn | 3d | 4.80 | . |
8 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
9 | Mn | 3d | 10 | Mn | 3d | 2.31 | . |
9 | Mn | 3d | 11 | Mn | 3d | 2.31 | . |
9 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
10 | Mn | 3d | 11 | Mn | 3d | 2.31 | . |
10 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
11 | Mn | 3d | 12 | Si | 1a | 2.82 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1215733 |