Crystal system |
trigonal |
Space group number |
166 |
Hermann-Mauguin |
R-3m |
Hall |
-R 3 2" |
Point group |
-3m |
Normalized formula |
ZrMnN2 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
3.1610 |
b (Å) |
3.1610 |
c (Å) |
13.8483 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
119.832 |
Density (g/cm3) |
7.241 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-882.4 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: ZrMnN2 |
2 entries found |
Compounds with the same elements: Zr-Mn-N |
3 entries found |
Binary compounds in Zr-Mn system |
7 entries found |
Binary compounds in Zr-N system |
17 entries found |
Binary compounds in Mn-N system |
12 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
3.17 μB/cell |
Averaged magnetic moment |
0.26 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.31 T (= 246.7 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
|
DFT calculations (details) | |
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Magnetic easy axis |
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Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 3b | 0.000000 | 0.000000 | 0.500000 | -0.06 | . | . |
2 | Zr | 3b | 0.666667 | 0.333333 | 0.833333 | -0.06 | . | . |
3 | Zr | 3b | 0.333333 | 0.666667 | 0.166667 | -0.06 | . | . |
4 | Mn | 3a | 0.333333 | 0.666667 | 0.666667 | 1.11 | . | . |
5 | Mn | 3a | 0.000000 | 0.000000 | 0.000000 | 1.11 | . | . |
6 | Mn | 3a | 0.666667 | 0.333333 | 0.333333 | 1.11 | . | . |
7 | N | 6c | 0.666667 | 0.333333 | 0.592762 | -0.01 | . | . |
8 | N | 6c | 0.333333 | 0.666667 | 0.407238 | -0.01 | . | . |
9 | N | 6c | 0.333333 | 0.666667 | 0.926096 | -0.01 | . | . |
10 | N | 6c | 0.000000 | 0.000000 | 0.740571 | -0.01 | . | . |
11 | N | 6c | 0.000000 | 0.000000 | 0.259429 | -0.01 | . | . |
12 | N | 6c | 0.666667 | 0.333333 | 0.073904 | -0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 3b | 2 | Zr | 3b | 4.96 | . |
1 | Zr | 3b | 3 | Zr | 3b | 4.96 | . |
1 | Zr | 3b | 4 | Mn | 3a | 2.94 | . |
1 | Zr | 3b | 5 | Mn | 3a | 6.92 | . |
1 | Zr | 3b | 6 | Mn | 3a | 2.94 | . |
1 | Zr | 3b | 7 | N | 6c | 2.23 | . |
1 | Zr | 3b | 8 | N | 6c | 2.23 | . |
1 | Zr | 3b | 9 | N | 6c | 6.18 | . |
1 | Zr | 3b | 10 | N | 6c | 3.33 | . |
1 | Zr | 3b | 11 | N | 6c | 3.33 | . |
1 | Zr | 3b | 12 | N | 6c | 6.18 | . |
2 | Zr | 3b | 3 | Zr | 3b | 4.96 | . |
2 | Zr | 3b | 4 | Mn | 3a | 2.94 | . |
2 | Zr | 3b | 5 | Mn | 3a | 2.94 | . |
2 | Zr | 3b | 6 | Mn | 3a | 6.92 | . |
2 | Zr | 3b | 7 | N | 6c | 3.33 | . |
2 | Zr | 3b | 8 | N | 6c | 6.18 | . |
2 | Zr | 3b | 9 | N | 6c | 2.23 | . |
2 | Zr | 3b | 10 | N | 6c | 2.23 | . |
2 | Zr | 3b | 11 | N | 6c | 6.18 | . |
2 | Zr | 3b | 12 | N | 6c | 3.33 | . |
3 | Zr | 3b | 4 | Mn | 3a | 6.92 | . |
3 | Zr | 3b | 5 | Mn | 3a | 2.94 | . |
3 | Zr | 3b | 6 | Mn | 3a | 2.94 | . |
3 | Zr | 3b | 7 | N | 6c | 6.18 | . |
3 | Zr | 3b | 8 | N | 6c | 3.33 | . |
3 | Zr | 3b | 9 | N | 6c | 3.33 | . |
3 | Zr | 3b | 10 | N | 6c | 6.18 | . |
3 | Zr | 3b | 11 | N | 6c | 2.23 | . |
3 | Zr | 3b | 12 | N | 6c | 2.23 | . |
4 | Mn | 3a | 5 | Mn | 3a | 4.96 | . |
4 | Mn | 3a | 6 | Mn | 3a | 4.96 | . |
4 | Mn | 3a | 7 | N | 6c | 2.09 | . |
4 | Mn | 3a | 8 | N | 6c | 3.59 | . |
4 | Mn | 3a | 9 | N | 6c | 3.59 | . |
4 | Mn | 3a | 10 | N | 6c | 2.09 | . |
4 | Mn | 3a | 11 | N | 6c | 5.93 | . |
4 | Mn | 3a | 12 | N | 6c | 5.93 | . |
5 | Mn | 3a | 6 | Mn | 3a | 4.96 | . |
5 | Mn | 3a | 7 | N | 6c | 5.93 | . |
5 | Mn | 3a | 8 | N | 6c | 5.93 | . |
5 | Mn | 3a | 9 | N | 6c | 2.09 | . |
5 | Mn | 3a | 10 | N | 6c | 3.59 | . |
5 | Mn | 3a | 11 | N | 6c | 3.59 | . |
5 | Mn | 3a | 12 | N | 6c | 2.09 | . |
6 | Mn | 3a | 7 | N | 6c | 3.59 | . |
6 | Mn | 3a | 8 | N | 6c | 2.09 | . |
6 | Mn | 3a | 9 | N | 6c | 5.93 | . |
6 | Mn | 3a | 10 | N | 6c | 5.93 | . |
6 | Mn | 3a | 11 | N | 6c | 2.09 | . |
6 | Mn | 3a | 12 | N | 6c | 3.59 | . |
7 | N | 6c | 8 | N | 6c | 3.15 | . |
7 | N | 6c | 9 | N | 6c | 4.96 | . |
7 | N | 6c | 10 | N | 6c | 2.74 | . |
7 | N | 6c | 11 | N | 6c | 4.96 | . |
7 | N | 6c | 12 | N | 6c | 6.66 | . |
8 | N | 6c | 9 | N | 6c | 6.66 | . |
8 | N | 6c | 10 | N | 6c | 4.96 | . |
8 | N | 6c | 11 | N | 6c | 2.74 | . |
8 | N | 6c | 12 | N | 6c | 4.96 | . |
9 | N | 6c | 10 | N | 6c | 3.15 | . |
9 | N | 6c | 11 | N | 6c | 4.96 | . |
9 | N | 6c | 12 | N | 6c | 2.74 | . |
10 | N | 6c | 11 | N | 6c | 6.66 | . |
10 | N | 6c | 12 | N | 6c | 4.96 | . |
11 | N | 6c | 12 | N | 6c | 3.15 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1245560 |