Crystal system |
tetragonal |
Space group number |
118 |
Hermann-Mauguin |
P-4n2 |
Hall |
P -4 -2n |
Point group |
-42m |
Normalized formula |
Zr5AlNi4 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
20 |
The number of inequivalent sites per unit cell |
5 |
Structure search |
MP |
a (Å) |
7.2403 |
b (Å) |
7.2403 |
c (Å) |
6.6126 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
346.640 |
Density (g/cm3) |
6.878 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-441.2 meV/atom |
Formation energy above hull |
|
Compounds with the same formula: Zr5AlNi4 |
3 entries found |
Compounds with the same elements: Zr-Al-Ni |
11 entries found |
Binary compounds in Zr-Al system |
No entries found |
Binary compounds in Zr-Ni system |
13 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 | Zr | 4g | 0.320422 | 0.820422 | 0.250000 | 0.00 | . | . |
2 | Zr | 4g | 0.679578 | 0.179578 | 0.250000 | 0.00 | . | . |
3 | Zr | 4g | 0.179578 | 0.320422 | 0.750000 | 0.00 | . | . |
4 | Zr | 4g | 0.820422 | 0.679578 | 0.750000 | 0.00 | . | . |
5 | Zr | 4f | 0.838738 | 0.661262 | 0.250000 | 0.00 | . | . |
6 | Zr | 4f | 0.161262 | 0.338738 | 0.250000 | 0.00 | . | . |
7 | Zr | 4f | 0.661262 | 0.161262 | 0.750000 | 0.00 | . | . |
8 | Zr | 4f | 0.338738 | 0.838738 | 0.750000 | 0.00 | . | . |
9 | Zr | 2a | 0.000000 | 0.000000 | 0.000000 | 0.00 | . | . |
10 | Zr | 2a | 0.500000 | 0.500000 | 0.500000 | 0.00 | . | . |
11 | Al | 2b | 0.000000 | 0.000000 | 0.500000 | 0.00 | . | . |
12 | Al | 2b | 0.500000 | 0.500000 | 0.000000 | 0.00 | . | . |
13 | Ni | 8i | 0.124815 | 0.624550 | 0.976095 | 0.00 | . | . |
14 | Ni | 8i | 0.875185 | 0.375450 | 0.976095 | 0.00 | . | . |
15 | Ni | 8i | 0.375185 | 0.124550 | 0.476095 | 0.00 | . | . |
16 | Ni | 8i | 0.624815 | 0.875450 | 0.476095 | 0.00 | . | . |
17 | Ni | 8i | 0.875450 | 0.375185 | 0.523905 | 0.00 | . | . |
18 | Ni | 8i | 0.124550 | 0.624815 | 0.523905 | 0.00 | . | . |
19 | Ni | 8i | 0.624550 | 0.875185 | 0.023905 | 0.00 | . | . |
20 | Ni | 8i | 0.375450 | 0.124815 | 0.023905 | 0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 4g | 2 | Zr | 4g | 3.68 | . |
1 | Zr | 4g | 3 | Zr | 4g | 5.01 | . |
1 | Zr | 4g | 4 | Zr | 4g | 5.01 | . |
1 | Zr | 4g | 5 | Zr | 4f | 3.67 | . |
1 | Zr | 4g | 6 | Zr | 4f | 3.67 | . |
1 | Zr | 4g | 7 | Zr | 4f | 4.81 | . |
1 | Zr | 4g | 8 | Zr | 4f | 3.31 | . |
1 | Zr | 4g | 9 | Zr | 2a | 3.13 | . |
1 | Zr | 4g | 10 | Zr | 2a | 3.13 | . |
1 | Zr | 4g | 11 | Al | 2b | 3.13 | . |
1 | Zr | 4g | 12 | Al | 2b | 3.13 | . |
1 | Zr | 4g | 13 | Ni | 8i | 2.70 | . |
1 | Zr | 4g | 14 | Ni | 8i | 4.90 | . |
1 | Zr | 4g | 15 | Ni | 8i | 2.69 | . |
1 | Zr | 4g | 16 | Ni | 8i | 2.69 | . |
1 | Zr | 4g | 17 | Ni | 8i | 4.90 | . |
1 | Zr | 4g | 18 | Ni | 8i | 2.70 | . |
1 | Zr | 4g | 19 | Ni | 8i | 2.69 | . |
1 | Zr | 4g | 20 | Ni | 8i | 2.69 | . |
2 | Zr | 4g | 3 | Zr | 4g | 5.01 | . |
2 | Zr | 4g | 4 | Zr | 4g | 5.01 | . |
2 | Zr | 4g | 5 | Zr | 4f | 3.67 | . |
2 | Zr | 4g | 6 | Zr | 4f | 3.67 | . |
2 | Zr | 4g | 7 | Zr | 4f | 3.31 | . |
2 | Zr | 4g | 8 | Zr | 4f | 4.81 | . |
2 | Zr | 4g | 9 | Zr | 2a | 3.13 | . |
2 | Zr | 4g | 10 | Zr | 2a | 3.13 | . |
2 | Zr | 4g | 11 | Al | 2b | 3.13 | . |
2 | Zr | 4g | 12 | Al | 2b | 3.13 | . |
2 | Zr | 4g | 13 | Ni | 8i | 4.90 | . |
2 | Zr | 4g | 14 | Ni | 8i | 2.70 | . |
2 | Zr | 4g | 15 | Ni | 8i | 2.69 | . |
2 | Zr | 4g | 16 | Ni | 8i | 2.69 | . |
2 | Zr | 4g | 17 | Ni | 8i | 2.70 | . |
2 | Zr | 4g | 18 | Ni | 8i | 4.90 | . |
2 | Zr | 4g | 19 | Ni | 8i | 2.69 | . |
2 | Zr | 4g | 20 | Ni | 8i | 2.69 | . |
3 | Zr | 4g | 4 | Zr | 4g | 3.68 | . |
3 | Zr | 4g | 5 | Zr | 4f | 4.81 | . |
3 | Zr | 4g | 6 | Zr | 4f | 3.31 | . |
3 | Zr | 4g | 7 | Zr | 4f | 3.67 | . |
3 | Zr | 4g | 8 | Zr | 4f | 3.67 | . |
3 | Zr | 4g | 9 | Zr | 2a | 3.13 | . |
3 | Zr | 4g | 10 | Zr | 2a | 3.13 | . |
3 | Zr | 4g | 11 | Al | 2b | 3.13 | . |
3 | Zr | 4g | 12 | Al | 2b | 3.13 | . |
3 | Zr | 4g | 13 | Ni | 8i | 2.69 | . |
3 | Zr | 4g | 14 | Ni | 8i | 2.69 | . |
3 | Zr | 4g | 15 | Ni | 8i | 2.70 | . |
3 | Zr | 4g | 16 | Ni | 8i | 4.90 | . |
3 | Zr | 4g | 17 | Ni | 8i | 2.69 | . |
3 | Zr | 4g | 18 | Ni | 8i | 2.69 | . |
3 | Zr | 4g | 19 | Ni | 8i | 4.90 | . |
3 | Zr | 4g | 20 | Ni | 8i | 2.70 | . |
4 | Zr | 4g | 5 | Zr | 4f | 3.31 | . |
4 | Zr | 4g | 6 | Zr | 4f | 4.81 | . |
4 | Zr | 4g | 7 | Zr | 4f | 3.67 | . |
4 | Zr | 4g | 8 | Zr | 4f | 3.67 | . |
4 | Zr | 4g | 9 | Zr | 2a | 3.13 | . |
4 | Zr | 4g | 10 | Zr | 2a | 3.13 | . |
4 | Zr | 4g | 11 | Al | 2b | 3.13 | . |
4 | Zr | 4g | 12 | Al | 2b | 3.13 | . |
4 | Zr | 4g | 13 | Ni | 8i | 2.69 | . |
4 | Zr | 4g | 14 | Ni | 8i | 2.69 | . |
4 | Zr | 4g | 15 | Ni | 8i | 4.90 | . |
4 | Zr | 4g | 16 | Ni | 8i | 2.70 | . |
4 | Zr | 4g | 17 | Ni | 8i | 2.69 | . |
4 | Zr | 4g | 18 | Ni | 8i | 2.69 | . |
4 | Zr | 4g | 19 | Ni | 8i | 2.70 | . |
4 | Zr | 4g | 20 | Ni | 8i | 4.90 | . |
5 | Zr | 4f | 6 | Zr | 4f | 3.30 | . |
5 | Zr | 4f | 7 | Zr | 4f | 5.07 | . |
5 | Zr | 4f | 8 | Zr | 4f | 5.07 | . |
5 | Zr | 4f | 9 | Zr | 2a | 3.18 | . |
5 | Zr | 4f | 10 | Zr | 2a | 3.18 | . |
5 | Zr | 4f | 11 | Al | 2b | 3.18 | . |
5 | Zr | 4f | 12 | Al | 2b | 3.18 | . |
5 | Zr | 4f | 13 | Ni | 8i | 2.76 | . |
5 | Zr | 4f | 14 | Ni | 8i | 2.76 | . |
5 | Zr | 4f | 15 | Ni | 8i | 4.98 | . |
5 | Zr | 4f | 16 | Ni | 8i | 2.65 | . |
5 | Zr | 4f | 17 | Ni | 8i | 2.76 | . |
5 | Zr | 4f | 18 | Ni | 8i | 2.76 | . |
5 | Zr | 4f | 19 | Ni | 8i | 2.65 | . |
5 | Zr | 4f | 20 | Ni | 8i | 4.98 | . |
6 | Zr | 4f | 7 | Zr | 4f | 5.07 | . |
6 | Zr | 4f | 8 | Zr | 4f | 5.07 | . |
6 | Zr | 4f | 9 | Zr | 2a | 3.18 | . |
6 | Zr | 4f | 10 | Zr | 2a | 3.18 | . |
6 | Zr | 4f | 11 | Al | 2b | 3.18 | . |
6 | Zr | 4f | 12 | Al | 2b | 3.18 | . |
6 | Zr | 4f | 13 | Ni | 8i | 2.76 | . |
6 | Zr | 4f | 14 | Ni | 8i | 2.76 | . |
6 | Zr | 4f | 15 | Ni | 8i | 2.65 | . |
6 | Zr | 4f | 16 | Ni | 8i | 4.98 | . |
6 | Zr | 4f | 17 | Ni | 8i | 2.76 | . |
6 | Zr | 4f | 18 | Ni | 8i | 2.76 | . |
6 | Zr | 4f | 19 | Ni | 8i | 4.98 | . |
6 | Zr | 4f | 20 | Ni | 8i | 2.65 | . |
7 | Zr | 4f | 8 | Zr | 4f | 3.30 | . |
7 | Zr | 4f | 9 | Zr | 2a | 3.18 | . |
7 | Zr | 4f | 10 | Zr | 2a | 3.18 | . |
7 | Zr | 4f | 11 | Al | 2b | 3.18 | . |
7 | Zr | 4f | 12 | Al | 2b | 3.18 | . |
7 | Zr | 4f | 13 | Ni | 8i | 4.98 | . |
7 | Zr | 4f | 14 | Ni | 8i | 2.65 | . |
7 | Zr | 4f | 15 | Ni | 8i | 2.76 | . |
7 | Zr | 4f | 16 | Ni | 8i | 2.76 | . |
7 | Zr | 4f | 17 | Ni | 8i | 2.65 | . |
7 | Zr | 4f | 18 | Ni | 8i | 4.98 | . |
7 | Zr | 4f | 19 | Ni | 8i | 2.76 | . |
7 | Zr | 4f | 20 | Ni | 8i | 2.76 | . |
8 | Zr | 4f | 9 | Zr | 2a | 3.18 | . |
8 | Zr | 4f | 10 | Zr | 2a | 3.18 | . |
8 | Zr | 4f | 11 | Al | 2b | 3.18 | . |
8 | Zr | 4f | 12 | Al | 2b | 3.18 | . |
8 | Zr | 4f | 13 | Ni | 8i | 2.65 | . |
8 | Zr | 4f | 14 | Ni | 8i | 4.98 | . |
8 | Zr | 4f | 15 | Ni | 8i | 2.76 | . |
8 | Zr | 4f | 16 | Ni | 8i | 2.76 | . |
8 | Zr | 4f | 17 | Ni | 8i | 4.98 | . |
8 | Zr | 4f | 18 | Ni | 8i | 2.65 | . |
8 | Zr | 4f | 19 | Ni | 8i | 2.76 | . |
8 | Zr | 4f | 20 | Ni | 8i | 2.76 | . |
9 | Zr | 2a | 10 | Zr | 2a | 6.09 | . |
9 | Zr | 2a | 11 | Al | 2b | 3.31 | . |
9 | Zr | 2a | 12 | Al | 2b | 5.12 | . |
9 | Zr | 2a | 13 | Ni | 8i | 2.87 | . |
9 | Zr | 2a | 14 | Ni | 8i | 2.87 | . |
9 | Zr | 2a | 15 | Ni | 8i | 4.25 | . |
9 | Zr | 2a | 16 | Ni | 8i | 4.25 | . |
9 | Zr | 2a | 17 | Ni | 8i | 4.25 | . |
9 | Zr | 2a | 18 | Ni | 8i | 4.25 | . |
9 | Zr | 2a | 19 | Ni | 8i | 2.87 | . |
9 | Zr | 2a | 20 | Ni | 8i | 2.87 | . |
10 | Zr | 2a | 11 | Al | 2b | 5.12 | . |
10 | Zr | 2a | 12 | Al | 2b | 3.31 | . |
10 | Zr | 2a | 13 | Ni | 8i | 4.25 | . |
10 | Zr | 2a | 14 | Ni | 8i | 4.25 | . |
10 | Zr | 2a | 15 | Ni | 8i | 2.87 | . |
10 | Zr | 2a | 16 | Ni | 8i | 2.87 | . |
10 | Zr | 2a | 17 | Ni | 8i | 2.87 | . |
10 | Zr | 2a | 18 | Ni | 8i | 2.87 | . |
10 | Zr | 2a | 19 | Ni | 8i | 4.25 | . |
10 | Zr | 2a | 20 | Ni | 8i | 4.25 | . |
11 | Al | 2b | 12 | Al | 2b | 6.09 | . |
11 | Al | 2b | 13 | Ni | 8i | 4.26 | . |
11 | Al | 2b | 14 | Ni | 8i | 4.26 | . |
11 | Al | 2b | 15 | Ni | 8i | 2.87 | . |
11 | Al | 2b | 16 | Ni | 8i | 2.87 | . |
11 | Al | 2b | 17 | Ni | 8i | 2.87 | . |
11 | Al | 2b | 18 | Ni | 8i | 2.87 | . |
11 | Al | 2b | 19 | Ni | 8i | 4.26 | . |
11 | Al | 2b | 20 | Ni | 8i | 4.26 | . |
12 | Al | 2b | 13 | Ni | 8i | 2.87 | . |
12 | Al | 2b | 14 | Ni | 8i | 2.87 | . |
12 | Al | 2b | 15 | Ni | 8i | 4.26 | . |
12 | Al | 2b | 16 | Ni | 8i | 4.26 | . |
12 | Al | 2b | 17 | Ni | 8i | 4.26 | . |
12 | Al | 2b | 18 | Ni | 8i | 4.26 | . |
12 | Al | 2b | 19 | Ni | 8i | 2.87 | . |
12 | Al | 2b | 20 | Ni | 8i | 2.87 | . |
13 | Ni | 8i | 14 | Ni | 8i | 2.55 | . |
13 | Ni | 8i | 15 | Ni | 8i | 5.23 | . |
13 | Ni | 8i | 16 | Ni | 8i | 5.23 | . |
13 | Ni | 8i | 17 | Ni | 8i | 3.93 | . |
13 | Ni | 8i | 18 | Ni | 8i | 2.99 | . |
13 | Ni | 8i | 19 | Ni | 8i | 4.06 | . |
13 | Ni | 8i | 20 | Ni | 8i | 4.06 | . |
14 | Ni | 8i | 15 | Ni | 8i | 5.23 | . |
14 | Ni | 8i | 16 | Ni | 8i | 5.23 | . |
14 | Ni | 8i | 17 | Ni | 8i | 2.99 | . |
14 | Ni | 8i | 18 | Ni | 8i | 3.93 | . |
14 | Ni | 8i | 19 | Ni | 8i | 4.06 | . |
14 | Ni | 8i | 20 | Ni | 8i | 4.06 | . |
15 | Ni | 8i | 16 | Ni | 8i | 2.55 | . |
15 | Ni | 8i | 17 | Ni | 8i | 4.06 | . |
15 | Ni | 8i | 18 | Ni | 8i | 4.06 | . |
15 | Ni | 8i | 19 | Ni | 8i | 3.93 | . |
15 | Ni | 8i | 20 | Ni | 8i | 2.99 | . |
16 | Ni | 8i | 17 | Ni | 8i | 4.06 | . |
16 | Ni | 8i | 18 | Ni | 8i | 4.06 | . |
16 | Ni | 8i | 19 | Ni | 8i | 2.99 | . |
16 | Ni | 8i | 20 | Ni | 8i | 3.93 | . |
17 | Ni | 8i | 18 | Ni | 8i | 2.55 | . |
17 | Ni | 8i | 19 | Ni | 8i | 5.23 | . |
17 | Ni | 8i | 20 | Ni | 8i | 5.23 | . |
18 | Ni | 8i | 19 | Ni | 8i | 5.23 | . |
18 | Ni | 8i | 20 | Ni | 8i | 5.23 | . |
19 | Ni | 8i | 20 | Ni | 8i | 2.55 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1215365 |