Crystal system |
trigonal |
Space group number |
164 |
Hermann-Mauguin |
P-3m1 |
Hall |
-P 3 2" |
Point group |
-3m |
Normalized formula |
Ti5Mn7 |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
5 |
Structure search |
MP |
a (Å) |
4.8041 |
b (Å) |
4.8041 |
c (Å) |
7.9091 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
158.085 |
Density (g/cm3) |
6.554 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-237.5 meV/atom |
Formation energy above hull |
14.0 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.85 μB/cell |
Averaged magnetic moment |
0.07 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.06 T (= 47.7 emu/cm3) |
LMTO-GF calculations (details) | |
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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 | 2d | 0.666667 | 0.333333 | 0.070614 | -0.04 | . | . |
2 | Ti | 2d | 0.333333 | 0.666667 | 0.929386 | -0.04 | . | . |
3 | Ti | 2d | 0.333333 | 0.666667 | 0.559996 | -0.04 | . | . |
4 | Ti | 2d | 0.666667 | 0.333333 | 0.440004 | -0.04 | . | . |
5 | Ti | 1a | 0.000000 | 0.000000 | 0.000000 | -0.03 | . | . |
6 | Mn | 6i | 0.653405 | 0.826702 | 0.257077 | 0.15 | . | . |
7 | Mn | 6i | 0.173298 | 0.826702 | 0.257077 | 0.15 | . | . |
8 | Mn | 6i | 0.173298 | 0.346595 | 0.257077 | 0.15 | . | . |
9 | Mn | 6i | 0.346595 | 0.173298 | 0.742923 | 0.15 | . | . |
10 | Mn | 6i | 0.826702 | 0.173298 | 0.742923 | 0.15 | . | . |
11 | Mn | 6i | 0.826702 | 0.653405 | 0.742923 | 0.15 | . | . |
12 | Mn | 1b | 0.000000 | 0.000000 | 0.500000 | 0.22 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 2d | 2 | Ti | 2d | 2.99 | . |
1 | Ti | 2d | 3 | Ti | 2d | 4.76 | . |
1 | Ti | 2d | 4 | Ti | 2d | 2.92 | . |
1 | Ti | 2d | 5 | Ti | 1a | 2.83 | . |
1 | Ti | 2d | 6 | Mn | 6i | 2.82 | . |
1 | Ti | 2d | 7 | Mn | 6i | 2.82 | . |
1 | Ti | 2d | 8 | Mn | 6i | 2.82 | . |
1 | Ti | 2d | 9 | Mn | 6i | 2.91 | . |
1 | Ti | 2d | 10 | Mn | 6i | 2.91 | . |
1 | Ti | 2d | 11 | Mn | 6i | 2.91 | . |
1 | Ti | 2d | 12 | Mn | 1b | 4.38 | . |
2 | Ti | 2d | 3 | Ti | 2d | 2.92 | . |
2 | Ti | 2d | 4 | Ti | 2d | 4.76 | . |
2 | Ti | 2d | 5 | Ti | 1a | 2.83 | . |
2 | Ti | 2d | 6 | Mn | 6i | 2.91 | . |
2 | Ti | 2d | 7 | Mn | 6i | 2.91 | . |
2 | Ti | 2d | 8 | Mn | 6i | 2.91 | . |
2 | Ti | 2d | 9 | Mn | 6i | 2.82 | . |
2 | Ti | 2d | 10 | Mn | 6i | 2.82 | . |
2 | Ti | 2d | 11 | Mn | 6i | 2.82 | . |
2 | Ti | 2d | 12 | Mn | 1b | 4.38 | . |
3 | Ti | 2d | 4 | Ti | 2d | 2.93 | . |
3 | Ti | 2d | 5 | Ti | 1a | 4.45 | . |
3 | Ti | 2d | 6 | Mn | 6i | 2.74 | . |
3 | Ti | 2d | 7 | Mn | 6i | 2.74 | . |
3 | Ti | 2d | 8 | Mn | 6i | 2.74 | . |
3 | Ti | 2d | 9 | Mn | 6i | 2.80 | . |
3 | Ti | 2d | 10 | Mn | 6i | 2.80 | . |
3 | Ti | 2d | 11 | Mn | 6i | 2.80 | . |
3 | Ti | 2d | 12 | Mn | 1b | 2.81 | . |
4 | Ti | 2d | 5 | Ti | 1a | 4.45 | . |
4 | Ti | 2d | 6 | Mn | 6i | 2.80 | . |
4 | Ti | 2d | 7 | Mn | 6i | 2.80 | . |
4 | Ti | 2d | 8 | Mn | 6i | 2.80 | . |
4 | Ti | 2d | 9 | Mn | 6i | 2.74 | . |
4 | Ti | 2d | 10 | Mn | 6i | 2.74 | . |
4 | Ti | 2d | 11 | Mn | 6i | 2.74 | . |
4 | Ti | 2d | 12 | Mn | 1b | 2.81 | . |
5 | Ti | 1a | 6 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 7 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 8 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 9 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 10 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 11 | Mn | 6i | 2.49 | . |
5 | Ti | 1a | 12 | Mn | 1b | 3.95 | . |
6 | Mn | 6i | 7 | Mn | 6i | 2.31 | . |
6 | Mn | 6i | 8 | Mn | 6i | 2.31 | . |
6 | Mn | 6i | 9 | Mn | 6i | 4.71 | . |
6 | Mn | 6i | 10 | Mn | 6i | 4.10 | . |
6 | Mn | 6i | 11 | Mn | 6i | 4.10 | . |
6 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
7 | Mn | 6i | 8 | Mn | 6i | 2.31 | . |
7 | Mn | 6i | 9 | Mn | 6i | 4.10 | . |
7 | Mn | 6i | 10 | Mn | 6i | 4.71 | . |
7 | Mn | 6i | 11 | Mn | 6i | 4.10 | . |
7 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
8 | Mn | 6i | 9 | Mn | 6i | 4.10 | . |
8 | Mn | 6i | 10 | Mn | 6i | 4.10 | . |
8 | Mn | 6i | 11 | Mn | 6i | 4.71 | . |
8 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
9 | Mn | 6i | 10 | Mn | 6i | 2.31 | . |
9 | Mn | 6i | 11 | Mn | 6i | 2.31 | . |
9 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
10 | Mn | 6i | 11 | Mn | 6i | 2.31 | . |
10 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
11 | Mn | 6i | 12 | Mn | 1b | 2.40 | . |
DFT calculations |
|
LMTO-GF calculations |
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References |
Materials Project: mp-1217189 |