Crystal system |
tetragonal |
Space group number |
99 |
Hermann-Mauguin |
P4mm |
Hall |
P 4 -2 |
Point group |
4mm |
Normalized formula |
Ti4Al11Ni |
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 |
12 |
Structure search |
MP |
a (Å) |
3.9007 |
b (Å) |
3.9007 |
c (Å) |
16.3514 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
248.799 |
Density (g/cm3) |
3.651 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-397.0 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti4Al11Ni |
1 entry found |
Compounds with the same elements: Ti-Al-Ni |
9 entries found |
Binary compounds in Ti-Al system |
No entries found |
Binary compounds in Ti-Ni system |
16 entries found |
Binary compounds in Al-Ni system |
13 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
0.59 μB/cell |
Averaged magnetic moment |
0.04 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.03 T (= 23.9 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 | 0.500000 | 0.500000 | 0.380585 | 0.06 | . | . |
2 | Ti | 1a | 0.000000 | 0.000000 | 0.887052 | -0.02 | . | . |
3 | Ti | 1a | 0.000000 | 0.000000 | 0.120313 | 0.21 | . | . |
4 | Ti | 1b | 0.500000 | 0.500000 | 0.618736 | -0.00 | . | . |
5 | Al | 2c | 0.500000 | 0.000000 | 0.009024 | 0.01 | . | . |
6 | Al | 2c | 0.000000 | 0.500000 | 0.498533 | -0.00 | . | . |
7 | Al | 2c | 0.000000 | 0.500000 | 0.009024 | 0.01 | . | . |
8 | Al | 2c | 0.500000 | 0.000000 | 0.498533 | -0.00 | . | . |
9 | Al | 2c | 0.000000 | 0.500000 | 0.239984 | 0.01 | . | . |
10 | Al | 2c | 0.500000 | 0.000000 | 0.752741 | 0.00 | . | . |
11 | Al | 2c | 0.500000 | 0.000000 | 0.239984 | 0.01 | . | . |
12 | Al | 2c | 0.000000 | 0.500000 | 0.752741 | 0.00 | . | . |
13 | Al | 1a | 0.000000 | 0.000000 | 0.625157 | -0.00 | . | . |
14 | Al | 1a | 0.000000 | 0.000000 | 0.366672 | -0.00 | . | . |
15 | Al | 1b | 0.500000 | 0.500000 | 0.878730 | 0.00 | . | . |
16 | Ni | 1b | 0.500000 | 0.500000 | 0.122189 | 0.22 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 1b | 2 | Ti | 1a | 8.53 | . |
1 | Ti | 1b | 3 | Ti | 1a | 5.07 | . |
1 | Ti | 1b | 4 | Ti | 1b | 3.89 | . |
1 | Ti | 1b | 5 | Al | 2c | 6.38 | . |
1 | Ti | 1b | 6 | Al | 2c | 2.74 | . |
1 | Ti | 1b | 7 | Al | 2c | 6.38 | . |
1 | Ti | 1b | 8 | Al | 2c | 2.74 | . |
1 | Ti | 1b | 9 | Al | 2c | 3.01 | . |
1 | Ti | 1b | 10 | Al | 2c | 6.39 | . |
1 | Ti | 1b | 11 | Al | 2c | 3.01 | . |
1 | Ti | 1b | 12 | Al | 2c | 6.39 | . |
1 | Ti | 1b | 13 | Al | 1a | 4.86 | . |
1 | Ti | 1b | 14 | Al | 1a | 2.77 | . |
1 | Ti | 1b | 15 | Al | 1b | 8.15 | . |
1 | Ti | 1b | 16 | Ni | 1b | 4.23 | . |
2 | Ti | 1a | 3 | Ti | 1a | 3.81 | . |
2 | Ti | 1a | 4 | Ti | 1b | 5.18 | . |
2 | Ti | 1a | 5 | Al | 2c | 2.79 | . |
2 | Ti | 1a | 6 | Al | 2c | 6.65 | . |
2 | Ti | 1a | 7 | Al | 2c | 2.79 | . |
2 | Ti | 1a | 8 | Al | 2c | 6.65 | . |
2 | Ti | 1a | 9 | Al | 2c | 6.09 | . |
2 | Ti | 1a | 10 | Al | 2c | 2.94 | . |
2 | Ti | 1a | 11 | Al | 2c | 6.09 | . |
2 | Ti | 1a | 12 | Al | 2c | 2.94 | . |
2 | Ti | 1a | 13 | Al | 1a | 4.28 | . |
2 | Ti | 1a | 14 | Al | 1a | 7.84 | . |
2 | Ti | 1a | 15 | Al | 1b | 2.76 | . |
2 | Ti | 1a | 16 | Ni | 1b | 4.73 | . |
3 | Ti | 1a | 4 | Ti | 1b | 8.60 | . |
3 | Ti | 1a | 5 | Al | 2c | 2.67 | . |
3 | Ti | 1a | 6 | Al | 2c | 6.48 | . |
3 | Ti | 1a | 7 | Al | 2c | 2.67 | . |
3 | Ti | 1a | 8 | Al | 2c | 6.48 | . |
3 | Ti | 1a | 9 | Al | 2c | 2.76 | . |
3 | Ti | 1a | 10 | Al | 2c | 6.32 | . |
3 | Ti | 1a | 11 | Al | 2c | 2.76 | . |
3 | Ti | 1a | 12 | Al | 2c | 6.32 | . |
3 | Ti | 1a | 13 | Al | 1a | 8.10 | . |
3 | Ti | 1a | 14 | Al | 1a | 4.03 | . |
3 | Ti | 1a | 15 | Al | 1b | 4.82 | . |
3 | Ti | 1a | 16 | Ni | 1b | 2.76 | . |
4 | Ti | 1b | 5 | Al | 2c | 6.67 | . |
4 | Ti | 1b | 6 | Al | 2c | 2.77 | . |
4 | Ti | 1b | 7 | Al | 2c | 6.67 | . |
4 | Ti | 1b | 8 | Al | 2c | 2.77 | . |
4 | Ti | 1b | 9 | Al | 2c | 6.49 | . |
4 | Ti | 1b | 10 | Al | 2c | 2.93 | . |
4 | Ti | 1b | 11 | Al | 2c | 6.49 | . |
4 | Ti | 1b | 12 | Al | 2c | 2.93 | . |
4 | Ti | 1b | 13 | Al | 1a | 2.76 | . |
4 | Ti | 1b | 14 | Al | 1a | 4.96 | . |
4 | Ti | 1b | 15 | Al | 1b | 4.25 | . |
4 | Ti | 1b | 16 | Ni | 1b | 8.12 | . |
5 | Al | 2c | 6 | Al | 2c | 8.47 | . |
5 | Al | 2c | 7 | Al | 2c | 2.76 | . |
5 | Al | 2c | 8 | Al | 2c | 8.00 | . |
5 | Al | 2c | 9 | Al | 2c | 4.68 | . |
5 | Al | 2c | 10 | Al | 2c | 4.19 | . |
5 | Al | 2c | 11 | Al | 2c | 3.78 | . |
5 | Al | 2c | 12 | Al | 2c | 5.02 | . |
5 | Al | 2c | 13 | Al | 1a | 6.57 | . |
5 | Al | 2c | 14 | Al | 1a | 6.16 | . |
5 | Al | 2c | 15 | Al | 1b | 2.89 | . |
5 | Al | 2c | 16 | Ni | 1b | 2.69 | . |
6 | Al | 2c | 7 | Al | 2c | 8.00 | . |
6 | Al | 2c | 8 | Al | 2c | 2.76 | . |
6 | Al | 2c | 9 | Al | 2c | 4.23 | . |
6 | Al | 2c | 10 | Al | 2c | 4.99 | . |
6 | Al | 2c | 11 | Al | 2c | 5.05 | . |
6 | Al | 2c | 12 | Al | 2c | 4.16 | . |
6 | Al | 2c | 13 | Al | 1a | 2.84 | . |
6 | Al | 2c | 14 | Al | 1a | 2.91 | . |
6 | Al | 2c | 15 | Al | 1b | 6.52 | . |
6 | Al | 2c | 16 | Ni | 1b | 6.46 | . |
7 | Al | 2c | 8 | Al | 2c | 8.47 | . |
7 | Al | 2c | 9 | Al | 2c | 3.78 | . |
7 | Al | 2c | 10 | Al | 2c | 5.02 | . |
7 | Al | 2c | 11 | Al | 2c | 4.68 | . |
7 | Al | 2c | 12 | Al | 2c | 4.19 | . |
7 | Al | 2c | 13 | Al | 1a | 6.57 | . |
7 | Al | 2c | 14 | Al | 1a | 6.16 | . |
7 | Al | 2c | 15 | Al | 1b | 2.89 | . |
7 | Al | 2c | 16 | Ni | 1b | 2.69 | . |
8 | Al | 2c | 9 | Al | 2c | 5.05 | . |
8 | Al | 2c | 10 | Al | 2c | 4.16 | . |
8 | Al | 2c | 11 | Al | 2c | 4.23 | . |
8 | Al | 2c | 12 | Al | 2c | 4.99 | . |
8 | Al | 2c | 13 | Al | 1a | 2.84 | . |
8 | Al | 2c | 14 | Al | 1a | 2.91 | . |
8 | Al | 2c | 15 | Al | 1b | 6.52 | . |
8 | Al | 2c | 16 | Ni | 1b | 6.46 | . |
9 | Al | 2c | 10 | Al | 2c | 8.43 | . |
9 | Al | 2c | 11 | Al | 2c | 2.76 | . |
9 | Al | 2c | 12 | Al | 2c | 7.97 | . |
9 | Al | 2c | 13 | Al | 1a | 6.59 | . |
9 | Al | 2c | 14 | Al | 1a | 2.85 | . |
9 | Al | 2c | 15 | Al | 1b | 6.22 | . |
9 | Al | 2c | 16 | Ni | 1b | 2.74 | . |
10 | Al | 2c | 11 | Al | 2c | 7.97 | . |
10 | Al | 2c | 12 | Al | 2c | 2.76 | . |
10 | Al | 2c | 13 | Al | 1a | 2.86 | . |
10 | Al | 2c | 14 | Al | 1a | 6.61 | . |
10 | Al | 2c | 15 | Al | 1b | 2.84 | . |
10 | Al | 2c | 16 | Ni | 1b | 6.35 | . |
11 | Al | 2c | 12 | Al | 2c | 8.43 | . |
11 | Al | 2c | 13 | Al | 1a | 6.59 | . |
11 | Al | 2c | 14 | Al | 1a | 2.85 | . |
11 | Al | 2c | 15 | Al | 1b | 6.22 | . |
11 | Al | 2c | 16 | Ni | 1b | 2.74 | . |
12 | Al | 2c | 13 | Al | 1a | 2.86 | . |
12 | Al | 2c | 14 | Al | 1a | 6.61 | . |
12 | Al | 2c | 15 | Al | 1b | 2.84 | . |
12 | Al | 2c | 16 | Ni | 1b | 6.35 | . |
13 | Al | 1a | 14 | Al | 1a | 4.23 | . |
13 | Al | 1a | 15 | Al | 1b | 4.98 | . |
13 | Al | 1a | 16 | Ni | 1b | 8.58 | . |
14 | Al | 1a | 15 | Al | 1b | 8.44 | . |
14 | Al | 1a | 16 | Ni | 1b | 4.86 | . |
15 | Al | 1b | 16 | Ni | 1b | 3.98 | . |
DFT calculations |
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LMTO-GF calculations |
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References |
Materials Project: mp-1217228 |