Crystal system |
monoclinic |
Space group number |
3 |
Hermann-Mauguin |
P2 |
Hall |
P 2y |
Point group |
2 |
Normalized formula |
TiMnSi4 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
18 |
The number of inequivalent sites per unit cell |
12 |
Structure search |
MP |
a (Å) |
4.5361 |
b (Å) |
12.8039 |
c (Å) |
4.5710 |
α (deg.) |
90.000 |
β (deg.) |
119.449 |
γ (deg.) |
90.000 |
Volume (Å3) |
231.179 |
Density (g/cm3) |
4.636 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-397.1 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: TiMnSi4 |
1 entry found |
Compounds with the same elements: Ti-Mn-Si |
5 entries found |
Binary compounds in Ti-Mn system |
2 entries found |
Binary compounds in Ti-Si system |
No entries found |
Binary compounds in Mn-Si system |
11 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.93 μB/cell |
Averaged magnetic moment |
0.05 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 | 1b | 0.000000 | 0.249098 | 0.500000 | 0.03 | . | . |
2 | Ti | 1d | 0.500000 | 0.585634 | 0.500000 | 0.05 | . | . |
3 | Ti | 1d | 0.500000 | 0.081283 | 0.500000 | -0.00 | . | . |
4 | Mn | 1c | 0.500000 | 0.911734 | 0.000000 | 0.06 | . | . |
5 | Mn | 1c | 0.500000 | 0.418002 | 0.000000 | 0.77 | . | . |
6 | Mn | 1b | 0.000000 | 0.754980 | 0.500000 | 0.09 | . | . |
7 | Si | 2e | 0.841731 | 0.914081 | 0.667809 | -0.00 | . | . |
8 | Si | 2e | 0.832992 | 0.417290 | 0.673294 | -0.02 | . | . |
9 | Si | 2e | 0.330428 | 0.752242 | 0.160726 | -0.00 | . | . |
10 | Si | 2e | 0.322483 | 0.252545 | 0.158383 | -0.01 | . | . |
11 | Si | 2e | 0.837151 | 0.584224 | 0.167912 | -0.01 | . | . |
12 | Si | 2e | 0.833798 | 0.079252 | 0.155228 | -0.00 | . | . |
13 | Si | 2e | 0.158269 | 0.914081 | 0.332191 | -0.00 | . | . |
14 | Si | 2e | 0.167008 | 0.417290 | 0.326706 | -0.02 | . | . |
15 | Si | 2e | 0.669572 | 0.752242 | 0.839274 | -0.00 | . | . |
16 | Si | 2e | 0.677517 | 0.252545 | 0.841617 | -0.01 | . | . |
17 | Si | 2e | 0.162849 | 0.584224 | 0.832088 | -0.01 | . | . |
18 | Si | 2e | 0.166202 | 0.079252 | 0.844772 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 1b | 2 | Ti | 1d | 4.87 | . |
1 | Ti | 1b | 3 | Ti | 1d | 3.12 | . |
1 | Ti | 1b | 4 | Mn | 1c | 4.89 | . |
1 | Ti | 1b | 5 | Mn | 1c | 3.15 | . |
1 | Ti | 1b | 6 | Mn | 1b | 6.33 | . |
1 | Ti | 1b | 7 | Si | 2e | 4.48 | . |
1 | Ti | 1b | 8 | Si | 2e | 2.54 | . |
1 | Ti | 1b | 9 | Si | 2e | 6.88 | . |
1 | Ti | 1b | 10 | Si | 2e | 2.61 | . |
1 | Ti | 1b | 11 | Si | 2e | 4.49 | . |
1 | Ti | 1b | 12 | Si | 2e | 2.57 | . |
1 | Ti | 1b | 13 | Si | 2e | 4.48 | . |
1 | Ti | 1b | 14 | Si | 2e | 2.54 | . |
1 | Ti | 1b | 15 | Si | 2e | 6.88 | . |
1 | Ti | 1b | 16 | Si | 2e | 2.61 | . |
1 | Ti | 1b | 17 | Si | 2e | 4.49 | . |
1 | Ti | 1b | 18 | Si | 2e | 2.57 | . |
2 | Ti | 1d | 3 | Ti | 1d | 6.35 | . |
2 | Ti | 1d | 4 | Mn | 1c | 4.76 | . |
2 | Ti | 1d | 5 | Mn | 1c | 3.14 | . |
2 | Ti | 1d | 6 | Mn | 1b | 3.14 | . |
2 | Ti | 1d | 7 | Si | 2e | 4.42 | . |
2 | Ti | 1d | 8 | Si | 2e | 2.53 | . |
2 | Ti | 1d | 9 | Si | 2e | 2.52 | . |
2 | Ti | 1d | 10 | Si | 2e | 4.48 | . |
2 | Ti | 1d | 11 | Si | 2e | 2.62 | . |
2 | Ti | 1d | 12 | Si | 2e | 6.84 | . |
2 | Ti | 1d | 13 | Si | 2e | 4.42 | . |
2 | Ti | 1d | 14 | Si | 2e | 2.53 | . |
2 | Ti | 1d | 15 | Si | 2e | 2.52 | . |
2 | Ti | 1d | 16 | Si | 2e | 4.48 | . |
2 | Ti | 1d | 17 | Si | 2e | 2.62 | . |
2 | Ti | 1d | 18 | Si | 2e | 6.84 | . |
3 | Ti | 1d | 4 | Mn | 1c | 3.15 | . |
3 | Ti | 1d | 5 | Mn | 1c | 4.88 | . |
3 | Ti | 1d | 6 | Mn | 1b | 4.75 | . |
3 | Ti | 1d | 7 | Si | 2e | 2.53 | . |
3 | Ti | 1d | 8 | Si | 2e | 4.50 | . |
3 | Ti | 1d | 9 | Si | 2e | 4.42 | . |
3 | Ti | 1d | 10 | Si | 2e | 2.58 | . |
3 | Ti | 1d | 11 | Si | 2e | 6.88 | . |
3 | Ti | 1d | 12 | Si | 2e | 2.61 | . |
3 | Ti | 1d | 13 | Si | 2e | 2.53 | . |
3 | Ti | 1d | 14 | Si | 2e | 4.50 | . |
3 | Ti | 1d | 15 | Si | 2e | 4.42 | . |
3 | Ti | 1d | 16 | Si | 2e | 2.58 | . |
3 | Ti | 1d | 17 | Si | 2e | 6.88 | . |
3 | Ti | 1d | 18 | Si | 2e | 2.61 | . |
4 | Mn | 1c | 5 | Mn | 1c | 6.32 | . |
4 | Mn | 1c | 6 | Mn | 1b | 3.05 | . |
4 | Mn | 1c | 7 | Si | 2e | 2.60 | . |
4 | Mn | 1c | 8 | Si | 2e | 6.84 | . |
4 | Mn | 1c | 9 | Si | 2e | 2.42 | . |
4 | Mn | 1c | 10 | Si | 2e | 4.56 | . |
4 | Mn | 1c | 11 | Si | 2e | 4.40 | . |
4 | Mn | 1c | 12 | Si | 2e | 2.52 | . |
4 | Mn | 1c | 13 | Si | 2e | 2.60 | . |
4 | Mn | 1c | 14 | Si | 2e | 6.84 | . |
4 | Mn | 1c | 15 | Si | 2e | 2.42 | . |
4 | Mn | 1c | 16 | Si | 2e | 4.56 | . |
4 | Mn | 1c | 17 | Si | 2e | 4.40 | . |
4 | Mn | 1c | 18 | Si | 2e | 2.52 | . |
5 | Mn | 1c | 6 | Mn | 1b | 4.89 | . |
5 | Mn | 1c | 7 | Si | 2e | 6.86 | . |
5 | Mn | 1c | 8 | Si | 2e | 2.59 | . |
5 | Mn | 1c | 9 | Si | 2e | 4.47 | . |
5 | Mn | 1c | 10 | Si | 2e | 2.50 | . |
5 | Mn | 1c | 11 | Si | 2e | 2.51 | . |
5 | Mn | 1c | 12 | Si | 2e | 4.53 | . |
5 | Mn | 1c | 13 | Si | 2e | 6.86 | . |
5 | Mn | 1c | 14 | Si | 2e | 2.59 | . |
5 | Mn | 1c | 15 | Si | 2e | 4.47 | . |
5 | Mn | 1c | 16 | Si | 2e | 2.50 | . |
5 | Mn | 1c | 17 | Si | 2e | 2.51 | . |
5 | Mn | 1c | 18 | Si | 2e | 4.53 | . |
6 | Mn | 1b | 7 | Si | 2e | 2.41 | . |
6 | Mn | 1b | 8 | Si | 2e | 4.53 | . |
6 | Mn | 1b | 9 | Si | 2e | 2.63 | . |
6 | Mn | 1b | 10 | Si | 2e | 6.89 | . |
6 | Mn | 1b | 11 | Si | 2e | 2.55 | . |
6 | Mn | 1b | 12 | Si | 2e | 4.37 | . |
6 | Mn | 1b | 13 | Si | 2e | 2.41 | . |
6 | Mn | 1b | 14 | Si | 2e | 4.53 | . |
6 | Mn | 1b | 15 | Si | 2e | 2.63 | . |
6 | Mn | 1b | 16 | Si | 2e | 6.89 | . |
6 | Mn | 1b | 17 | Si | 2e | 2.55 | . |
6 | Mn | 1b | 18 | Si | 2e | 4.37 | . |
7 | Si | 2e | 8 | Si | 2e | 6.36 | . |
7 | Si | 2e | 9 | Si | 2e | 3.06 | . |
7 | Si | 2e | 10 | Si | 2e | 4.87 | . |
7 | Si | 2e | 11 | Si | 2e | 4.80 | . |
7 | Si | 2e | 12 | Si | 2e | 3.08 | . |
7 | Si | 2e | 13 | Si | 2e | 2.57 | . |
7 | Si | 2e | 14 | Si | 2e | 6.88 | . |
7 | Si | 2e | 15 | Si | 2e | 2.47 | . |
7 | Si | 2e | 16 | Si | 2e | 4.53 | . |
7 | Si | 2e | 17 | Si | 2e | 4.41 | . |
7 | Si | 2e | 18 | Si | 2e | 2.47 | . |
8 | Si | 2e | 9 | Si | 2e | 4.85 | . |
8 | Si | 2e | 10 | Si | 2e | 3.07 | . |
8 | Si | 2e | 11 | Si | 2e | 3.10 | . |
8 | Si | 2e | 12 | Si | 2e | 4.86 | . |
8 | Si | 2e | 13 | Si | 2e | 6.88 | . |
8 | Si | 2e | 14 | Si | 2e | 2.60 | . |
8 | Si | 2e | 15 | Si | 2e | 4.48 | . |
8 | Si | 2e | 16 | Si | 2e | 2.46 | . |
8 | Si | 2e | 17 | Si | 2e | 2.50 | . |
8 | Si | 2e | 18 | Si | 2e | 4.52 | . |
9 | Si | 2e | 10 | Si | 2e | 6.40 | . |
9 | Si | 2e | 11 | Si | 2e | 3.12 | . |
9 | Si | 2e | 12 | Si | 2e | 4.75 | . |
9 | Si | 2e | 13 | Si | 2e | 2.47 | . |
9 | Si | 2e | 14 | Si | 2e | 4.48 | . |
9 | Si | 2e | 15 | Si | 2e | 2.60 | . |
9 | Si | 2e | 16 | Si | 2e | 6.90 | . |
9 | Si | 2e | 17 | Si | 2e | 2.52 | . |
9 | Si | 2e | 18 | Si | 2e | 4.37 | . |
10 | Si | 2e | 11 | Si | 2e | 4.79 | . |
10 | Si | 2e | 12 | Si | 2e | 3.13 | . |
10 | Si | 2e | 13 | Si | 2e | 4.53 | . |
10 | Si | 2e | 14 | Si | 2e | 2.46 | . |
10 | Si | 2e | 15 | Si | 2e | 6.90 | . |
10 | Si | 2e | 16 | Si | 2e | 2.55 | . |
10 | Si | 2e | 17 | Si | 2e | 4.44 | . |
10 | Si | 2e | 18 | Si | 2e | 2.55 | . |
11 | Si | 2e | 12 | Si | 2e | 6.34 | . |
11 | Si | 2e | 13 | Si | 2e | 4.41 | . |
11 | Si | 2e | 14 | Si | 2e | 2.50 | . |
11 | Si | 2e | 15 | Si | 2e | 2.52 | . |
11 | Si | 2e | 16 | Si | 2e | 4.44 | . |
11 | Si | 2e | 17 | Si | 2e | 2.60 | . |
11 | Si | 2e | 18 | Si | 2e | 6.84 | . |
12 | Si | 2e | 13 | Si | 2e | 2.47 | . |
12 | Si | 2e | 14 | Si | 2e | 4.52 | . |
12 | Si | 2e | 15 | Si | 2e | 4.37 | . |
12 | Si | 2e | 16 | Si | 2e | 2.55 | . |
12 | Si | 2e | 17 | Si | 2e | 6.84 | . |
12 | Si | 2e | 18 | Si | 2e | 2.53 | . |
13 | Si | 2e | 14 | Si | 2e | 6.36 | . |
13 | Si | 2e | 15 | Si | 2e | 3.06 | . |
13 | Si | 2e | 16 | Si | 2e | 4.87 | . |
13 | Si | 2e | 17 | Si | 2e | 4.80 | . |
13 | Si | 2e | 18 | Si | 2e | 3.08 | . |
14 | Si | 2e | 15 | Si | 2e | 4.85 | . |
14 | Si | 2e | 16 | Si | 2e | 3.07 | . |
14 | Si | 2e | 17 | Si | 2e | 3.10 | . |
14 | Si | 2e | 18 | Si | 2e | 4.86 | . |
15 | Si | 2e | 16 | Si | 2e | 6.40 | . |
15 | Si | 2e | 17 | Si | 2e | 3.12 | . |
15 | Si | 2e | 18 | Si | 2e | 4.75 | . |
16 | Si | 2e | 17 | Si | 2e | 4.79 | . |
16 | Si | 2e | 18 | Si | 2e | 3.13 | . |
17 | Si | 2e | 18 | Si | 2e | 6.34 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1216867 |