Crystal system |
triclinic |
Space group number |
2 |
Hermann-Mauguin |
P-1 |
Hall |
-P 1 |
Point group |
-1 |
Normalized formula |
Ti4FeCoS8 |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
14 |
The number of inequivalent sites per unit cell |
8 |
Structure search |
MP |
a (Å) |
5.7969 |
b (Å) |
6.4805 |
c (Å) |
6.7483 |
α (deg.) |
74.923 |
β (deg.) |
89.987 |
γ (deg.) |
63.569 |
Volume (Å3) |
217.232 |
Density (g/cm3) |
4.302 |
| DFT calculations (details) | |
|---|---|
Formation energy (vs. elemental phases) |
-1144.2 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti4FeCoS8 |
1 entry found |
Compounds with the same elements: Ti-Fe-Co-S |
1 entry found |
Ternary compounds in Ti-Fe-Co system |
10 entries found |
Ternary compounds in Ti-Fe-S system |
4 entries found |
Ternary compounds in Ti-Co-S system |
4 entries found |
Ternary compounds in Fe-Co-S system |
34 entries found |
| DFT calculations (details) | |
|---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.98 μB/cell |
Averaged magnetic moment |
0.07 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.05 T (= 39.8 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 | Ti | 2i | 0.736956 | 0.990188 | 0.372864 | -0.00 | . | . |
| 2 | Ti | 2i | 0.263044 | 0.009812 | 0.627136 | -0.00 | . | . |
| 3 | Ti | 2i | 0.736596 | 0.988967 | 0.870941 | 0.01 | . | . |
| 4 | Ti | 2i | 0.263404 | 0.011033 | 0.129059 | 0.01 | . | . |
| 5 | Fe | 1c | -0.000000 | 0.500000 | 0.000000 | -0.10 | . | . |
| 6 | Co | 1g | -0.000000 | 0.500000 | 0.500000 | 0.94 | . | . |
| 7 | S | 2i | 0.954562 | 0.735715 | 0.305851 | 0.01 | . | . |
| 8 | S | 2i | 0.442927 | 0.728996 | 0.057800 | 0.01 | . | . |
| 9 | S | 2i | 0.954756 | 0.733341 | 0.810919 | 0.01 | . | . |
| 10 | S | 2i | 0.445047 | 0.730834 | 0.558041 | 0.01 | . | . |
| 11 | S | 2i | 0.045244 | 0.266659 | 0.189081 | 0.01 | . | . |
| 12 | S | 2i | 0.557073 | 0.271004 | 0.942200 | 0.01 | . | . |
| 13 | S | 2i | 0.045438 | 0.264285 | 0.694149 | 0.01 | . | . |
| 14 | S | 2i | 0.554953 | 0.269166 | 0.441959 | 0.01 | . | . |
| site i | site j | distance (Å) | Jij (meV) | ||||
|---|---|---|---|---|---|---|---|
| 1 | Ti | 2i | 2 | Ti | 2i | 3.21 | . |
| 1 | Ti | 2i | 3 | Ti | 2i | 3.36 | . |
| 1 | Ti | 2i | 4 | Ti | 2i | 3.13 | . |
| 1 | Ti | 2i | 5 | Fe | 1c | 4.31 | . |
| 1 | Ti | 2i | 6 | Co | 1g | 2.72 | . |
| 1 | Ti | 2i | 7 | S | 2i | 1.75 | . |
| 1 | Ti | 2i | 8 | S | 2i | 3.84 | . |
| 1 | Ti | 2i | 9 | S | 2i | 2.95 | . |
| 1 | Ti | 2i | 10 | S | 2i | 2.95 | . |
| 1 | Ti | 2i | 11 | S | 2i | 3.10 | . |
| 1 | Ti | 2i | 12 | S | 2i | 2.90 | . |
| 1 | Ti | 2i | 13 | S | 2i | 3.99 | . |
| 1 | Ti | 2i | 14 | S | 2i | 1.83 | . |
| 2 | Ti | 2i | 3 | Ti | 2i | 3.13 | . |
| 2 | Ti | 2i | 4 | Ti | 2i | 3.36 | . |
| 2 | Ti | 2i | 5 | Fe | 1c | 4.31 | . |
| 2 | Ti | 2i | 6 | Co | 1g | 2.72 | . |
| 2 | Ti | 2i | 7 | S | 2i | 3.99 | . |
| 2 | Ti | 2i | 8 | S | 2i | 2.90 | . |
| 2 | Ti | 2i | 9 | S | 2i | 3.10 | . |
| 2 | Ti | 2i | 10 | S | 2i | 1.83 | . |
| 2 | Ti | 2i | 11 | S | 2i | 2.95 | . |
| 2 | Ti | 2i | 12 | S | 2i | 3.84 | . |
| 2 | Ti | 2i | 13 | S | 2i | 1.75 | . |
| 2 | Ti | 2i | 14 | S | 2i | 2.95 | . |
| 3 | Ti | 2i | 4 | Ti | 2i | 3.22 | . |
| 3 | Ti | 2i | 5 | Fe | 1c | 2.72 | . |
| 3 | Ti | 2i | 6 | Co | 1g | 4.30 | . |
| 3 | Ti | 2i | 7 | S | 2i | 2.92 | . |
| 3 | Ti | 2i | 8 | S | 2i | 2.96 | . |
| 3 | Ti | 2i | 9 | S | 2i | 1.73 | . |
| 3 | Ti | 2i | 10 | S | 2i | 3.80 | . |
| 3 | Ti | 2i | 11 | S | 2i | 3.99 | . |
| 3 | Ti | 2i | 12 | S | 2i | 1.85 | . |
| 3 | Ti | 2i | 13 | S | 2i | 3.09 | . |
| 3 | Ti | 2i | 14 | S | 2i | 2.89 | . |
| 4 | Ti | 2i | 5 | Fe | 1c | 2.72 | . |
| 4 | Ti | 2i | 6 | Co | 1g | 4.30 | . |
| 4 | Ti | 2i | 7 | S | 2i | 3.09 | . |
| 4 | Ti | 2i | 8 | S | 2i | 1.85 | . |
| 4 | Ti | 2i | 9 | S | 2i | 3.99 | . |
| 4 | Ti | 2i | 10 | S | 2i | 2.89 | . |
| 4 | Ti | 2i | 11 | S | 2i | 1.73 | . |
| 4 | Ti | 2i | 12 | S | 2i | 2.96 | . |
| 4 | Ti | 2i | 13 | S | 2i | 2.92 | . |
| 4 | Ti | 2i | 14 | S | 2i | 3.80 | . |
| 5 | Fe | 1c | 6 | Co | 1g | 3.37 | . |
| 5 | Fe | 1c | 7 | S | 2i | 2.82 | . |
| 5 | Fe | 1c | 8 | S | 2i | 2.97 | . |
| 5 | Fe | 1c | 9 | S | 2i | 1.62 | . |
| 5 | Fe | 1c | 10 | S | 2i | 3.86 | . |
| 5 | Fe | 1c | 11 | S | 2i | 1.62 | . |
| 5 | Fe | 1c | 12 | S | 2i | 2.97 | . |
| 5 | Fe | 1c | 13 | S | 2i | 2.82 | . |
| 5 | Fe | 1c | 14 | S | 2i | 3.86 | . |
| 6 | Co | 1g | 7 | S | 2i | 1.65 | . |
| 6 | Co | 1g | 8 | S | 2i | 3.87 | . |
| 6 | Co | 1g | 9 | S | 2i | 2.84 | . |
| 6 | Co | 1g | 10 | S | 2i | 2.96 | . |
| 6 | Co | 1g | 11 | S | 2i | 2.84 | . |
| 6 | Co | 1g | 12 | S | 2i | 3.87 | . |
| 6 | Co | 1g | 13 | S | 2i | 1.65 | . |
| 6 | Co | 1g | 14 | S | 2i | 2.96 | . |
| 7 | S | 2i | 8 | S | 2i | 3.28 | . |
| 7 | S | 2i | 9 | S | 2i | 3.34 | . |
| 7 | S | 2i | 10 | S | 2i | 3.30 | . |
| 7 | S | 2i | 11 | S | 2i | 3.16 | . |
| 7 | S | 2i | 12 | S | 2i | 3.44 | . |
| 7 | S | 2i | 13 | S | 2i | 3.30 | . |
| 7 | S | 2i | 14 | S | 2i | 3.36 | . |
| 8 | S | 2i | 9 | S | 2i | 3.27 | . |
| 8 | S | 2i | 10 | S | 2i | 3.37 | . |
| 8 | S | 2i | 11 | S | 2i | 3.36 | . |
| 8 | S | 2i | 12 | S | 2i | 3.05 | . |
| 8 | S | 2i | 13 | S | 2i | 3.44 | . |
| 8 | S | 2i | 14 | S | 2i | 3.21 | . |
| 9 | S | 2i | 10 | S | 2i | 3.31 | . |
| 9 | S | 2i | 11 | S | 2i | 3.24 | . |
| 9 | S | 2i | 12 | S | 2i | 3.36 | . |
| 9 | S | 2i | 13 | S | 2i | 3.16 | . |
| 9 | S | 2i | 14 | S | 2i | 3.46 | . |
| 10 | S | 2i | 11 | S | 2i | 3.46 | . |
| 10 | S | 2i | 12 | S | 2i | 3.21 | . |
| 10 | S | 2i | 13 | S | 2i | 3.36 | . |
| 10 | S | 2i | 14 | S | 2i | 3.08 | . |
| 11 | S | 2i | 12 | S | 2i | 3.27 | . |
| 11 | S | 2i | 13 | S | 2i | 3.34 | . |
| 11 | S | 2i | 14 | S | 2i | 3.31 | . |
| 12 | S | 2i | 13 | S | 2i | 3.28 | . |
| 12 | S | 2i | 14 | S | 2i | 3.37 | . |
| 13 | S | 2i | 14 | S | 2i | 3.30 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1217221 |