Crystal system |
trigonal |
Space group number |
164 |
Hermann-Mauguin |
P-3m1 |
Hall |
-P 3 2" |
Point group |
-3m |
Normalized formula |
Ti4MnS8 |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
13 |
The number of inequivalent sites per unit cell |
7 |
Structure search |
MP |
a (Å) |
3.4428 |
b (Å) |
3.4428 |
c (Å) |
23.6824 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
243.101 |
Density (g/cm3) |
3.435 |
| DFT calculations (details) | |
|---|---|
Formation energy (vs. elemental phases) |
-1210.7 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti4MnS8 |
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 |
3.33 μB/cell |
Averaged magnetic moment |
0.26 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.16 T (= 127.3 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 | 0.626730 | -0.19 | . | . |
| 2 | Ti | 2c | 0.000000 | 0.000000 | 0.373270 | -0.19 | . | . |
| 3 | Ti | 2c | 0.000000 | 0.000000 | 0.124953 | -0.00 | . | . |
| 4 | Ti | 2c | 0.000000 | 0.000000 | 0.875047 | -0.00 | . | . |
| 5 | Mn | 1b | 0.000000 | 0.000000 | 0.500000 | 3.44 | . | . |
| 6 | S | 2d | 0.333333 | 0.666667 | 0.561475 | 0.04 | . | . |
| 7 | S | 2d | 0.333333 | 0.666667 | 0.315331 | 0.01 | . | . |
| 8 | S | 2d | 0.333333 | 0.666667 | 0.065243 | 0.00 | . | . |
| 9 | S | 2d | 0.333333 | 0.666667 | 0.815134 | 0.00 | . | . |
| 10 | S | 2d | 0.666667 | 0.333333 | 0.438525 | 0.04 | . | . |
| 11 | S | 2d | 0.666667 | 0.333333 | 0.184866 | 0.00 | . | . |
| 12 | S | 2d | 0.666667 | 0.333333 | 0.934757 | 0.00 | . | . |
| 13 | S | 2d | 0.666667 | 0.333333 | 0.684669 | 0.01 | . | . |
| site i | site j | distance (Å) | Jij (meV) | ||||
|---|---|---|---|---|---|---|---|
| 1 | Ti | 2c | 2 | Ti | 2c | 6.00 | . |
| 1 | Ti | 2c | 3 | Ti | 2c | 11.80 | . |
| 1 | Ti | 2c | 4 | Ti | 2c | 5.88 | . |
| 1 | Ti | 2c | 5 | Mn | 1b | 3.00 | . |
| 1 | Ti | 2c | 6 | S | 2d | 2.52 | . |
| 1 | Ti | 2c | 7 | S | 2d | 7.64 | . |
| 1 | Ti | 2c | 8 | S | 2d | 10.57 | . |
| 1 | Ti | 2c | 9 | S | 2d | 4.88 | . |
| 1 | Ti | 2c | 10 | S | 2d | 4.88 | . |
| 1 | Ti | 2c | 11 | S | 2d | 10.65 | . |
| 1 | Ti | 2c | 12 | S | 2d | 7.56 | . |
| 1 | Ti | 2c | 13 | S | 2d | 2.42 | . |
| 2 | Ti | 2c | 3 | Ti | 2c | 5.88 | . |
| 2 | Ti | 2c | 4 | Ti | 2c | 11.80 | . |
| 2 | Ti | 2c | 5 | Mn | 1b | 3.00 | . |
| 2 | Ti | 2c | 6 | S | 2d | 4.88 | . |
| 2 | Ti | 2c | 7 | S | 2d | 2.42 | . |
| 2 | Ti | 2c | 8 | S | 2d | 7.56 | . |
| 2 | Ti | 2c | 9 | S | 2d | 10.65 | . |
| 2 | Ti | 2c | 10 | S | 2d | 2.52 | . |
| 2 | Ti | 2c | 11 | S | 2d | 4.88 | . |
| 2 | Ti | 2c | 12 | S | 2d | 10.57 | . |
| 2 | Ti | 2c | 13 | S | 2d | 7.64 | . |
| 3 | Ti | 2c | 4 | Ti | 2c | 5.92 | . |
| 3 | Ti | 2c | 5 | Mn | 1b | 8.88 | . |
| 3 | Ti | 2c | 6 | S | 2d | 10.53 | . |
| 3 | Ti | 2c | 7 | S | 2d | 4.93 | . |
| 3 | Ti | 2c | 8 | S | 2d | 2.44 | . |
| 3 | Ti | 2c | 9 | S | 2d | 7.60 | . |
| 3 | Ti | 2c | 10 | S | 2d | 7.69 | . |
| 3 | Ti | 2c | 11 | S | 2d | 2.44 | . |
| 3 | Ti | 2c | 12 | S | 2d | 4.92 | . |
| 3 | Ti | 2c | 13 | S | 2d | 10.61 | . |
| 4 | Ti | 2c | 5 | Mn | 1b | 8.88 | . |
| 4 | Ti | 2c | 6 | S | 2d | 7.69 | . |
| 4 | Ti | 2c | 7 | S | 2d | 10.61 | . |
| 4 | Ti | 2c | 8 | S | 2d | 4.92 | . |
| 4 | Ti | 2c | 9 | S | 2d | 2.44 | . |
| 4 | Ti | 2c | 10 | S | 2d | 10.53 | . |
| 4 | Ti | 2c | 11 | S | 2d | 7.60 | . |
| 4 | Ti | 2c | 12 | S | 2d | 2.44 | . |
| 4 | Ti | 2c | 13 | S | 2d | 4.93 | . |
| 5 | Mn | 1b | 6 | S | 2d | 2.46 | . |
| 5 | Mn | 1b | 7 | S | 2d | 4.80 | . |
| 5 | Mn | 1b | 8 | S | 2d | 10.49 | . |
| 5 | Mn | 1b | 9 | S | 2d | 7.72 | . |
| 5 | Mn | 1b | 10 | S | 2d | 2.46 | . |
| 5 | Mn | 1b | 11 | S | 2d | 7.72 | . |
| 5 | Mn | 1b | 12 | S | 2d | 10.49 | . |
| 5 | Mn | 1b | 13 | S | 2d | 4.80 | . |
| 6 | S | 2d | 7 | S | 2d | 5.83 | . |
| 6 | S | 2d | 8 | S | 2d | 11.75 | . |
| 6 | S | 2d | 9 | S | 2d | 6.01 | . |
| 6 | S | 2d | 10 | S | 2d | 3.53 | . |
| 6 | S | 2d | 11 | S | 2d | 9.14 | . |
| 6 | S | 2d | 12 | S | 2d | 9.06 | . |
| 6 | S | 2d | 13 | S | 2d | 3.53 | . |
| 7 | S | 2d | 8 | S | 2d | 5.92 | . |
| 7 | S | 2d | 9 | S | 2d | 11.84 | . |
| 7 | S | 2d | 10 | S | 2d | 3.53 | . |
| 7 | S | 2d | 11 | S | 2d | 3.67 | . |
| 7 | S | 2d | 12 | S | 2d | 9.23 | . |
| 7 | S | 2d | 13 | S | 2d | 8.97 | . |
| 8 | S | 2d | 9 | S | 2d | 5.92 | . |
| 8 | S | 2d | 10 | S | 2d | 9.06 | . |
| 8 | S | 2d | 11 | S | 2d | 3.46 | . |
| 8 | S | 2d | 12 | S | 2d | 3.67 | . |
| 8 | S | 2d | 13 | S | 2d | 9.23 | . |
| 9 | S | 2d | 10 | S | 2d | 9.14 | . |
| 9 | S | 2d | 11 | S | 2d | 8.98 | . |
| 9 | S | 2d | 12 | S | 2d | 3.46 | . |
| 9 | S | 2d | 13 | S | 2d | 3.67 | . |
| 10 | S | 2d | 11 | S | 2d | 6.01 | . |
| 10 | S | 2d | 12 | S | 2d | 11.75 | . |
| 10 | S | 2d | 13 | S | 2d | 5.83 | . |
| 11 | S | 2d | 12 | S | 2d | 5.92 | . |
| 11 | S | 2d | 13 | S | 2d | 11.84 | . |
| 12 | S | 2d | 13 | S | 2d | 5.92 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1217215 |