Crystal system |
hexagonal |
Space group number |
187 |
Hermann-Mauguin |
P-6m2 |
Hall |
P -6 2 |
Point group |
-6m2 |
Normalized formula |
Ti3AlNi12 |
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 |
6 |
Structure search |
MP |
a (Å) |
5.0731 |
b (Å) |
5.0731 |
c (Å) |
8.2635 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
184.183 |
Density (g/cm3) |
7.888 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-473.4 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Ti3AlNi12 |
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 |
non-magnetic |
Total magnetic moment |
0.00 μB/cell |
Averaged magnetic moment |
0.00 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.00 T (= 0.0 emu/cm3) |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Ti | 1c | 0.333333 | 0.666667 | 0.000000 | 0.00 | . | . |
2 | Ti | 2g | 0.000000 | 0.000000 | 0.751714 | -0.00 | . | . |
3 | Ti | 2g | 0.000000 | 0.000000 | 0.248286 | -0.00 | . | . |
4 | Al | 1f | 0.666667 | 0.333333 | 0.500000 | -0.00 | . | . |
5 | Ni | 3k | 0.171314 | 0.828686 | 0.500000 | 0.00 | . | . |
6 | Ni | 3k | 0.171314 | 0.342627 | 0.500000 | 0.00 | . | . |
7 | Ni | 3k | 0.657373 | 0.828686 | 0.500000 | 0.00 | . | . |
8 | Ni | 3j | 0.827983 | 0.172017 | 0.000000 | -0.00 | . | . |
9 | Ni | 3j | 0.827983 | 0.655965 | 0.000000 | -0.00 | . | . |
10 | Ni | 3j | 0.344035 | 0.172017 | 0.000000 | -0.00 | . | . |
11 | Ni | 6n | 0.999773 | 0.499886 | 0.749455 | -0.00 | . | . |
12 | Ni | 6n | 0.500114 | 0.499886 | 0.749455 | -0.00 | . | . |
13 | Ni | 6n | 0.500114 | 0.000227 | 0.749455 | -0.00 | . | . |
14 | Ni | 6n | 0.999773 | 0.499886 | 0.250545 | -0.00 | . | . |
15 | Ni | 6n | 0.500114 | 0.499886 | 0.250545 | -0.00 | . | . |
16 | Ni | 6n | 0.500114 | 0.000227 | 0.250545 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 1c | 2 | Ti | 2g | 3.58 | . |
1 | Ti | 1c | 3 | Ti | 2g | 3.58 | . |
1 | Ti | 1c | 4 | Al | 1f | 5.06 | . |
1 | Ti | 1c | 5 | Ni | 3k | 4.37 | . |
1 | Ti | 1c | 6 | Ni | 3k | 4.37 | . |
1 | Ti | 1c | 7 | Ni | 3k | 4.37 | . |
1 | Ti | 1c | 8 | Ni | 3j | 2.54 | . |
1 | Ti | 1c | 9 | Ni | 3j | 2.54 | . |
1 | Ti | 1c | 10 | Ni | 3j | 2.54 | . |
1 | Ti | 1c | 11 | Ni | 6n | 2.54 | . |
1 | Ti | 1c | 12 | Ni | 6n | 2.54 | . |
1 | Ti | 1c | 13 | Ni | 6n | 2.54 | . |
1 | Ti | 1c | 14 | Ni | 6n | 2.54 | . |
1 | Ti | 1c | 15 | Ni | 6n | 2.54 | . |
1 | Ti | 1c | 16 | Ni | 6n | 2.54 | . |
2 | Ti | 2g | 3 | Ti | 2g | 4.10 | . |
2 | Ti | 2g | 4 | Al | 1f | 3.59 | . |
2 | Ti | 2g | 5 | Ni | 3k | 2.57 | . |
2 | Ti | 2g | 6 | Ni | 3k | 2.57 | . |
2 | Ti | 2g | 7 | Ni | 3k | 2.57 | . |
2 | Ti | 2g | 8 | Ni | 3j | 2.55 | . |
2 | Ti | 2g | 9 | Ni | 3j | 2.55 | . |
2 | Ti | 2g | 10 | Ni | 3j | 2.55 | . |
2 | Ti | 2g | 11 | Ni | 6n | 2.54 | . |
2 | Ti | 2g | 12 | Ni | 6n | 2.54 | . |
2 | Ti | 2g | 13 | Ni | 6n | 2.54 | . |
2 | Ti | 2g | 14 | Ni | 6n | 4.84 | . |
2 | Ti | 2g | 15 | Ni | 6n | 4.84 | . |
2 | Ti | 2g | 16 | Ni | 6n | 4.84 | . |
3 | Ti | 2g | 4 | Al | 1f | 3.59 | . |
3 | Ti | 2g | 5 | Ni | 3k | 2.57 | . |
3 | Ti | 2g | 6 | Ni | 3k | 2.57 | . |
3 | Ti | 2g | 7 | Ni | 3k | 2.57 | . |
3 | Ti | 2g | 8 | Ni | 3j | 2.55 | . |
3 | Ti | 2g | 9 | Ni | 3j | 2.55 | . |
3 | Ti | 2g | 10 | Ni | 3j | 2.55 | . |
3 | Ti | 2g | 11 | Ni | 6n | 4.84 | . |
3 | Ti | 2g | 12 | Ni | 6n | 4.84 | . |
3 | Ti | 2g | 13 | Ni | 6n | 4.84 | . |
3 | Ti | 2g | 14 | Ni | 6n | 2.54 | . |
3 | Ti | 2g | 15 | Ni | 6n | 2.54 | . |
3 | Ti | 2g | 16 | Ni | 6n | 2.54 | . |
4 | Al | 1f | 5 | Ni | 3k | 2.54 | . |
4 | Al | 1f | 6 | Ni | 3k | 2.54 | . |
4 | Al | 1f | 7 | Ni | 3k | 2.54 | . |
4 | Al | 1f | 8 | Ni | 3j | 4.37 | . |
4 | Al | 1f | 9 | Ni | 3j | 4.37 | . |
4 | Al | 1f | 10 | Ni | 3j | 4.37 | . |
4 | Al | 1f | 11 | Ni | 6n | 2.53 | . |
4 | Al | 1f | 12 | Ni | 6n | 2.53 | . |
4 | Al | 1f | 13 | Ni | 6n | 2.53 | . |
4 | Al | 1f | 14 | Ni | 6n | 2.53 | . |
4 | Al | 1f | 15 | Ni | 6n | 2.53 | . |
4 | Al | 1f | 16 | Ni | 6n | 2.53 | . |
5 | Ni | 3k | 6 | Ni | 3k | 2.47 | . |
5 | Ni | 3k | 7 | Ni | 3k | 2.47 | . |
5 | Ni | 3k | 8 | Ni | 3j | 5.04 | . |
5 | Ni | 3k | 9 | Ni | 3j | 4.40 | . |
5 | Ni | 3k | 10 | Ni | 3j | 4.40 | . |
5 | Ni | 3k | 11 | Ni | 6n | 2.52 | . |
5 | Ni | 3k | 12 | Ni | 6n | 3.55 | . |
5 | Ni | 3k | 13 | Ni | 6n | 2.52 | . |
5 | Ni | 3k | 14 | Ni | 6n | 2.52 | . |
5 | Ni | 3k | 15 | Ni | 6n | 3.55 | . |
5 | Ni | 3k | 16 | Ni | 6n | 2.52 | . |
6 | Ni | 3k | 7 | Ni | 3k | 2.47 | . |
6 | Ni | 3k | 8 | Ni | 3j | 4.40 | . |
6 | Ni | 3k | 9 | Ni | 3j | 5.04 | . |
6 | Ni | 3k | 10 | Ni | 3j | 4.40 | . |
6 | Ni | 3k | 11 | Ni | 6n | 2.52 | . |
6 | Ni | 3k | 12 | Ni | 6n | 2.52 | . |
6 | Ni | 3k | 13 | Ni | 6n | 3.55 | . |
6 | Ni | 3k | 14 | Ni | 6n | 2.52 | . |
6 | Ni | 3k | 15 | Ni | 6n | 2.52 | . |
6 | Ni | 3k | 16 | Ni | 6n | 3.55 | . |
7 | Ni | 3k | 8 | Ni | 3j | 4.40 | . |
7 | Ni | 3k | 9 | Ni | 3j | 4.40 | . |
7 | Ni | 3k | 10 | Ni | 3j | 5.04 | . |
7 | Ni | 3k | 11 | Ni | 6n | 3.55 | . |
7 | Ni | 3k | 12 | Ni | 6n | 2.52 | . |
7 | Ni | 3k | 13 | Ni | 6n | 2.52 | . |
7 | Ni | 3k | 14 | Ni | 6n | 3.55 | . |
7 | Ni | 3k | 15 | Ni | 6n | 2.52 | . |
7 | Ni | 3k | 16 | Ni | 6n | 2.52 | . |
8 | Ni | 3j | 9 | Ni | 3j | 2.46 | . |
8 | Ni | 3j | 10 | Ni | 3j | 2.46 | . |
8 | Ni | 3j | 11 | Ni | 6n | 2.52 | . |
8 | Ni | 3j | 12 | Ni | 6n | 3.55 | . |
8 | Ni | 3j | 13 | Ni | 6n | 2.52 | . |
8 | Ni | 3j | 14 | Ni | 6n | 2.52 | . |
8 | Ni | 3j | 15 | Ni | 6n | 3.55 | . |
8 | Ni | 3j | 16 | Ni | 6n | 2.52 | . |
9 | Ni | 3j | 10 | Ni | 3j | 2.46 | . |
9 | Ni | 3j | 11 | Ni | 6n | 2.52 | . |
9 | Ni | 3j | 12 | Ni | 6n | 2.52 | . |
9 | Ni | 3j | 13 | Ni | 6n | 3.55 | . |
9 | Ni | 3j | 14 | Ni | 6n | 2.52 | . |
9 | Ni | 3j | 15 | Ni | 6n | 2.52 | . |
9 | Ni | 3j | 16 | Ni | 6n | 3.55 | . |
10 | Ni | 3j | 11 | Ni | 6n | 3.55 | . |
10 | Ni | 3j | 12 | Ni | 6n | 2.52 | . |
10 | Ni | 3j | 13 | Ni | 6n | 2.52 | . |
10 | Ni | 3j | 14 | Ni | 6n | 3.55 | . |
10 | Ni | 3j | 15 | Ni | 6n | 2.52 | . |
10 | Ni | 3j | 16 | Ni | 6n | 2.52 | . |
11 | Ni | 6n | 12 | Ni | 6n | 2.53 | . |
11 | Ni | 6n | 13 | Ni | 6n | 2.53 | . |
11 | Ni | 6n | 14 | Ni | 6n | 4.12 | . |
11 | Ni | 6n | 15 | Ni | 6n | 4.84 | . |
11 | Ni | 6n | 16 | Ni | 6n | 4.84 | . |
12 | Ni | 6n | 13 | Ni | 6n | 2.53 | . |
12 | Ni | 6n | 14 | Ni | 6n | 4.84 | . |
12 | Ni | 6n | 15 | Ni | 6n | 4.12 | . |
12 | Ni | 6n | 16 | Ni | 6n | 4.84 | . |
13 | Ni | 6n | 14 | Ni | 6n | 4.84 | . |
13 | Ni | 6n | 15 | Ni | 6n | 4.84 | . |
13 | Ni | 6n | 16 | Ni | 6n | 4.12 | . |
14 | Ni | 6n | 15 | Ni | 6n | 2.53 | . |
14 | Ni | 6n | 16 | Ni | 6n | 2.53 | . |
15 | Ni | 6n | 16 | Ni | 6n | 2.53 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1217197 |