Crystal system |
trigonal |
Space group number |
164 |
Hermann-Mauguin |
P-3m1 |
Hall |
-P 3 2" |
Point group |
-3m |
Normalized formula |
ZrTiFe4 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
5 |
Structure search |
MP |
a (Å) |
4.9120 |
b (Å) |
4.9120 |
c (Å) |
7.9367 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
165.835 |
Density (g/cm3) |
7.259 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-281.3 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: ZrTiFe4 |
1 entry found |
Compounds with the same elements: Zr-Ti-Fe |
1 entry found |
Binary compounds in Zr-Ti system |
No entries found |
Binary compounds in Zr-Fe system |
7 entries found |
Binary compounds in Ti-Fe system |
4 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
11.64 μB/cell |
Averaged magnetic moment |
0.97 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.82 T (= 652.5 emu/cm3) |
LMTO-GF calculations (details) | |
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Curie temperature, TC |
|
DFT calculations (details) | |
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Magnetic easy axis |
|
Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 2d | 0.666667 | 0.333333 | 0.929514 | -0.36 | . | . |
2 | Zr | 2d | 0.333333 | 0.666667 | 0.070486 | -0.36 | . | . |
3 | Ti | 2d | 0.333333 | 0.666667 | 0.448234 | -0.61 | . | . |
4 | Ti | 2d | 0.666667 | 0.333333 | 0.551766 | -0.61 | . | . |
5 | Fe | 1b | 0.000000 | 0.000000 | 0.500000 | 1.78 | . | . |
6 | Fe | 1a | 0.000000 | 0.000000 | 0.000000 | 1.88 | . | . |
7 | Fe | 6i | 0.831314 | 0.168686 | 0.256910 | 1.85 | . | . |
8 | Fe | 6i | 0.831314 | 0.662629 | 0.256910 | 1.85 | . | . |
9 | Fe | 6i | 0.337371 | 0.168686 | 0.256910 | 1.85 | . | . |
10 | Fe | 6i | 0.168686 | 0.831314 | 0.743090 | 1.85 | . | . |
11 | Fe | 6i | 0.168686 | 0.337371 | 0.743090 | 1.85 | . | . |
12 | Fe | 6i | 0.662629 | 0.831314 | 0.743090 | 1.85 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 2d | 2 | Zr | 2d | 3.05 | . |
1 | Zr | 2d | 3 | Ti | 2d | 4.76 | . |
1 | Zr | 2d | 4 | Ti | 2d | 3.00 | . |
1 | Zr | 2d | 5 | Fe | 1b | 4.43 | . |
1 | Zr | 2d | 6 | Fe | 1a | 2.89 | . |
1 | Zr | 2d | 7 | Fe | 6i | 2.95 | . |
1 | Zr | 2d | 8 | Fe | 6i | 2.95 | . |
1 | Zr | 2d | 9 | Fe | 6i | 2.95 | . |
1 | Zr | 2d | 10 | Fe | 6i | 2.87 | . |
1 | Zr | 2d | 11 | Fe | 6i | 2.87 | . |
1 | Zr | 2d | 12 | Fe | 6i | 2.87 | . |
2 | Zr | 2d | 3 | Ti | 2d | 3.00 | . |
2 | Zr | 2d | 4 | Ti | 2d | 4.76 | . |
2 | Zr | 2d | 5 | Fe | 1b | 4.43 | . |
2 | Zr | 2d | 6 | Fe | 1a | 2.89 | . |
2 | Zr | 2d | 7 | Fe | 6i | 2.87 | . |
2 | Zr | 2d | 8 | Fe | 6i | 2.87 | . |
2 | Zr | 2d | 9 | Fe | 6i | 2.87 | . |
2 | Zr | 2d | 10 | Fe | 6i | 2.95 | . |
2 | Zr | 2d | 11 | Fe | 6i | 2.95 | . |
2 | Zr | 2d | 12 | Fe | 6i | 2.95 | . |
3 | Ti | 2d | 4 | Ti | 2d | 2.95 | . |
3 | Ti | 2d | 5 | Fe | 1b | 2.87 | . |
3 | Ti | 2d | 6 | Fe | 1a | 4.55 | . |
3 | Ti | 2d | 7 | Fe | 6i | 2.89 | . |
3 | Ti | 2d | 8 | Fe | 6i | 2.89 | . |
3 | Ti | 2d | 9 | Fe | 6i | 2.89 | . |
3 | Ti | 2d | 10 | Fe | 6i | 2.73 | . |
3 | Ti | 2d | 11 | Fe | 6i | 2.73 | . |
3 | Ti | 2d | 12 | Fe | 6i | 2.73 | . |
4 | Ti | 2d | 5 | Fe | 1b | 2.87 | . |
4 | Ti | 2d | 6 | Fe | 1a | 4.55 | . |
4 | Ti | 2d | 7 | Fe | 6i | 2.73 | . |
4 | Ti | 2d | 8 | Fe | 6i | 2.73 | . |
4 | Ti | 2d | 9 | Fe | 6i | 2.73 | . |
4 | Ti | 2d | 10 | Fe | 6i | 2.89 | . |
4 | Ti | 2d | 11 | Fe | 6i | 2.89 | . |
4 | Ti | 2d | 12 | Fe | 6i | 2.89 | . |
5 | Fe | 1b | 6 | Fe | 1a | 3.97 | . |
5 | Fe | 1b | 7 | Fe | 6i | 2.40 | . |
5 | Fe | 1b | 8 | Fe | 6i | 2.40 | . |
5 | Fe | 1b | 9 | Fe | 6i | 2.40 | . |
5 | Fe | 1b | 10 | Fe | 6i | 2.40 | . |
5 | Fe | 1b | 11 | Fe | 6i | 2.40 | . |
5 | Fe | 1b | 12 | Fe | 6i | 2.40 | . |
6 | Fe | 1a | 7 | Fe | 6i | 2.49 | . |
6 | Fe | 1a | 8 | Fe | 6i | 2.49 | . |
6 | Fe | 1a | 9 | Fe | 6i | 2.49 | . |
6 | Fe | 1a | 10 | Fe | 6i | 2.49 | . |
6 | Fe | 1a | 11 | Fe | 6i | 2.49 | . |
6 | Fe | 1a | 12 | Fe | 6i | 2.49 | . |
7 | Fe | 6i | 8 | Fe | 6i | 2.43 | . |
7 | Fe | 6i | 9 | Fe | 6i | 2.43 | . |
7 | Fe | 6i | 10 | Fe | 6i | 4.78 | . |
7 | Fe | 6i | 11 | Fe | 6i | 4.12 | . |
7 | Fe | 6i | 12 | Fe | 6i | 4.12 | . |
8 | Fe | 6i | 9 | Fe | 6i | 2.43 | . |
8 | Fe | 6i | 10 | Fe | 6i | 4.12 | . |
8 | Fe | 6i | 11 | Fe | 6i | 4.78 | . |
8 | Fe | 6i | 12 | Fe | 6i | 4.12 | . |
9 | Fe | 6i | 10 | Fe | 6i | 4.12 | . |
9 | Fe | 6i | 11 | Fe | 6i | 4.12 | . |
9 | Fe | 6i | 12 | Fe | 6i | 4.78 | . |
10 | Fe | 6i | 11 | Fe | 6i | 2.43 | . |
10 | Fe | 6i | 12 | Fe | 6i | 2.43 | . |
11 | Fe | 6i | 12 | Fe | 6i | 2.43 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1215291 |