Crystal system |
trigonal |
Space group number |
164 |
Hermann-Mauguin |
P-3m1 |
Hall |
-P 3 2" |
Point group |
-3m |
Normalized formula |
Ti5MnS10 |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
16 |
The number of inequivalent sites per unit cell |
9 |
Structure search |
MP |
a (Å) |
3.4343 |
b (Å) |
3.4343 |
c (Å) |
29.9603 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
306.021 |
Density (g/cm3) |
3.337 |
| DFT calculations (details) | |
|---|---|
Formation energy (vs. elemental phases) |
-1227.4 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti5MnS10 |
1 entry found |
Compounds with the same elements: Ti-Mn-S |
2 entries found |
Binary compounds in Ti-Mn system |
2 entries found |
Binary compounds in Ti-S system |
No entries found |
Binary compounds in Mn-S system |
12 entries found |
| DFT calculations (details) | |
|---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
3.35 μB/cell |
Averaged magnetic moment |
0.21 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.13 T (= 103.5 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 | 2c | 0.000000 | 0.000000 | 0.601860 | -0.20 | . | . |
| 2 | Ti | 2c | 0.000000 | 0.000000 | 0.398140 | -0.20 | . | . |
| 3 | Ti | 2c | 0.000000 | 0.000000 | 0.199826 | -0.00 | . | . |
| 4 | Ti | 2c | 0.000000 | 0.000000 | 0.000000 | -0.00 | . | . |
| 5 | Ti | 1a | 0.000000 | 0.000000 | 0.800174 | -0.00 | . | . |
| 6 | Mn | 1b | 0.000000 | 0.000000 | 0.500000 | 3.50 | . | . |
| 7 | S | 2d | 0.333333 | 0.666667 | 0.549753 | 0.04 | . | . |
| 8 | S | 2d | 0.333333 | 0.666667 | 0.352302 | 0.01 | . | . |
| 9 | S | 2d | 0.333333 | 0.666667 | 0.152760 | 0.00 | . | . |
| 10 | S | 2d | 0.333333 | 0.666667 | 0.952840 | 0.00 | . | . |
| 11 | S | 2d | 0.333333 | 0.666667 | 0.752887 | 0.00 | . | . |
| 12 | S | 2d | 0.666667 | 0.333333 | 0.450247 | 0.04 | . | . |
| 13 | S | 2d | 0.666667 | 0.333333 | 0.247113 | 0.00 | . | . |
| 14 | S | 2d | 0.666667 | 0.333333 | 0.047160 | 0.00 | . | . |
| 15 | S | 2d | 0.666667 | 0.333333 | 0.847240 | 0.00 | . | . |
| 16 | S | 2d | 0.666667 | 0.333333 | 0.647698 | 0.01 | . | . |
| site i | site j | distance (Å) | Jij (meV) | ||||
|---|---|---|---|---|---|---|---|
| 1 | Ti | 2c | 2 | Ti | 2c | 6.10 | . |
| 1 | Ti | 2c | 3 | Ti | 2c | 12.05 | . |
| 1 | Ti | 2c | 4 | Ti | 2c | 11.93 | . |
| 1 | Ti | 2c | 5 | Ti | 1a | 5.94 | . |
| 1 | Ti | 2c | 6 | Mn | 1b | 3.05 | . |
| 1 | Ti | 2c | 7 | S | 2d | 2.52 | . |
| 1 | Ti | 2c | 8 | S | 2d | 7.74 | . |
| 1 | Ti | 2c | 9 | S | 2d | 13.60 | . |
| 1 | Ti | 2c | 10 | S | 2d | 10.70 | . |
| 1 | Ti | 2c | 11 | S | 2d | 4.94 | . |
| 1 | Ti | 2c | 12 | S | 2d | 4.96 | . |
| 1 | Ti | 2c | 13 | S | 2d | 10.81 | . |
| 1 | Ti | 2c | 14 | S | 2d | 13.49 | . |
| 1 | Ti | 2c | 15 | S | 2d | 7.61 | . |
| 1 | Ti | 2c | 16 | S | 2d | 2.41 | . |
| 2 | Ti | 2c | 3 | Ti | 2c | 5.94 | . |
| 2 | Ti | 2c | 4 | Ti | 2c | 11.93 | . |
| 2 | Ti | 2c | 5 | Ti | 1a | 12.05 | . |
| 2 | Ti | 2c | 6 | Mn | 1b | 3.05 | . |
| 2 | Ti | 2c | 7 | S | 2d | 4.96 | . |
| 2 | Ti | 2c | 8 | S | 2d | 2.41 | . |
| 2 | Ti | 2c | 9 | S | 2d | 7.61 | . |
| 2 | Ti | 2c | 10 | S | 2d | 13.49 | . |
| 2 | Ti | 2c | 11 | S | 2d | 10.81 | . |
| 2 | Ti | 2c | 12 | S | 2d | 2.52 | . |
| 2 | Ti | 2c | 13 | S | 2d | 4.94 | . |
| 2 | Ti | 2c | 14 | S | 2d | 10.70 | . |
| 2 | Ti | 2c | 15 | S | 2d | 13.60 | . |
| 2 | Ti | 2c | 16 | S | 2d | 7.74 | . |
| 3 | Ti | 2c | 4 | Ti | 2c | 5.99 | . |
| 3 | Ti | 2c | 5 | Ti | 1a | 11.97 | . |
| 3 | Ti | 2c | 6 | Mn | 1b | 8.99 | . |
| 3 | Ti | 2c | 7 | S | 2d | 10.67 | . |
| 3 | Ti | 2c | 8 | S | 2d | 4.98 | . |
| 3 | Ti | 2c | 9 | S | 2d | 2.43 | . |
| 3 | Ti | 2c | 10 | S | 2d | 7.66 | . |
| 3 | Ti | 2c | 11 | S | 2d | 13.54 | . |
| 3 | Ti | 2c | 12 | S | 2d | 7.76 | . |
| 3 | Ti | 2c | 13 | S | 2d | 2.44 | . |
| 3 | Ti | 2c | 14 | S | 2d | 4.99 | . |
| 3 | Ti | 2c | 15 | S | 2d | 10.75 | . |
| 3 | Ti | 2c | 16 | S | 2d | 13.56 | . |
| 4 | Ti | 2c | 5 | Ti | 1a | 5.99 | . |
| 4 | Ti | 2c | 6 | Mn | 1b | 14.98 | . |
| 4 | Ti | 2c | 7 | S | 2d | 13.63 | . |
| 4 | Ti | 2c | 8 | S | 2d | 10.74 | . |
| 4 | Ti | 2c | 9 | S | 2d | 4.99 | . |
| 4 | Ti | 2c | 10 | S | 2d | 2.43 | . |
| 4 | Ti | 2c | 11 | S | 2d | 7.66 | . |
| 4 | Ti | 2c | 12 | S | 2d | 13.63 | . |
| 4 | Ti | 2c | 13 | S | 2d | 7.66 | . |
| 4 | Ti | 2c | 14 | S | 2d | 2.43 | . |
| 4 | Ti | 2c | 15 | S | 2d | 4.99 | . |
| 4 | Ti | 2c | 16 | S | 2d | 10.74 | . |
| 5 | Ti | 1a | 6 | Mn | 1b | 8.99 | . |
| 5 | Ti | 1a | 7 | S | 2d | 7.76 | . |
| 5 | Ti | 1a | 8 | S | 2d | 13.56 | . |
| 5 | Ti | 1a | 9 | S | 2d | 10.75 | . |
| 5 | Ti | 1a | 10 | S | 2d | 4.99 | . |
| 5 | Ti | 1a | 11 | S | 2d | 2.44 | . |
| 5 | Ti | 1a | 12 | S | 2d | 10.67 | . |
| 5 | Ti | 1a | 13 | S | 2d | 13.54 | . |
| 5 | Ti | 1a | 14 | S | 2d | 7.66 | . |
| 5 | Ti | 1a | 15 | S | 2d | 2.43 | . |
| 5 | Ti | 1a | 16 | S | 2d | 4.98 | . |
| 6 | Mn | 1b | 7 | S | 2d | 2.48 | . |
| 6 | Mn | 1b | 8 | S | 2d | 4.85 | . |
| 6 | Mn | 1b | 9 | S | 2d | 10.59 | . |
| 6 | Mn | 1b | 10 | S | 2d | 13.71 | . |
| 6 | Mn | 1b | 11 | S | 2d | 7.83 | . |
| 6 | Mn | 1b | 12 | S | 2d | 2.48 | . |
| 6 | Mn | 1b | 13 | S | 2d | 7.83 | . |
| 6 | Mn | 1b | 14 | S | 2d | 13.71 | . |
| 6 | Mn | 1b | 15 | S | 2d | 10.59 | . |
| 6 | Mn | 1b | 16 | S | 2d | 4.85 | . |
| 7 | S | 2d | 8 | S | 2d | 5.92 | . |
| 7 | S | 2d | 9 | S | 2d | 11.89 | . |
| 7 | S | 2d | 10 | S | 2d | 12.08 | . |
| 7 | S | 2d | 11 | S | 2d | 6.09 | . |
| 7 | S | 2d | 12 | S | 2d | 3.58 | . |
| 7 | S | 2d | 13 | S | 2d | 9.28 | . |
| 7 | S | 2d | 14 | S | 2d | 15.03 | . |
| 7 | S | 2d | 15 | S | 2d | 9.13 | . |
| 7 | S | 2d | 16 | S | 2d | 3.54 | . |
| 8 | S | 2d | 9 | S | 2d | 5.98 | . |
| 8 | S | 2d | 10 | S | 2d | 11.97 | . |
| 8 | S | 2d | 11 | S | 2d | 12.00 | . |
| 8 | S | 2d | 12 | S | 2d | 3.54 | . |
| 8 | S | 2d | 13 | S | 2d | 3.72 | . |
| 8 | S | 2d | 14 | S | 2d | 9.35 | . |
| 8 | S | 2d | 15 | S | 2d | 14.96 | . |
| 8 | S | 2d | 16 | S | 2d | 9.07 | . |
| 9 | S | 2d | 10 | S | 2d | 5.99 | . |
| 9 | S | 2d | 11 | S | 2d | 11.98 | . |
| 9 | S | 2d | 12 | S | 2d | 9.13 | . |
| 9 | S | 2d | 13 | S | 2d | 3.45 | . |
| 9 | S | 2d | 14 | S | 2d | 3.73 | . |
| 9 | S | 2d | 15 | S | 2d | 9.37 | . |
| 9 | S | 2d | 16 | S | 2d | 14.96 | . |
| 10 | S | 2d | 11 | S | 2d | 5.99 | . |
| 10 | S | 2d | 12 | S | 2d | 15.03 | . |
| 10 | S | 2d | 13 | S | 2d | 9.04 | . |
| 10 | S | 2d | 14 | S | 2d | 3.45 | . |
| 10 | S | 2d | 15 | S | 2d | 3.73 | . |
| 10 | S | 2d | 16 | S | 2d | 9.35 | . |
| 11 | S | 2d | 12 | S | 2d | 9.28 | . |
| 11 | S | 2d | 13 | S | 2d | 14.94 | . |
| 11 | S | 2d | 14 | S | 2d | 9.04 | . |
| 11 | S | 2d | 15 | S | 2d | 3.45 | . |
| 11 | S | 2d | 16 | S | 2d | 3.72 | . |
| 12 | S | 2d | 13 | S | 2d | 6.09 | . |
| 12 | S | 2d | 14 | S | 2d | 12.08 | . |
| 12 | S | 2d | 15 | S | 2d | 11.89 | . |
| 12 | S | 2d | 16 | S | 2d | 5.92 | . |
| 13 | S | 2d | 14 | S | 2d | 5.99 | . |
| 13 | S | 2d | 15 | S | 2d | 11.98 | . |
| 13 | S | 2d | 16 | S | 2d | 12.00 | . |
| 14 | S | 2d | 15 | S | 2d | 5.99 | . |
| 14 | S | 2d | 16 | S | 2d | 11.97 | . |
| 15 | S | 2d | 16 | S | 2d | 5.98 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1217196 |