Crystal system |
orthorhombic |
Space group number |
62 |
Hermann-Mauguin |
Pnma |
Hall |
-P 2ac 2n |
Point group |
mmm |
Normalized formula |
TiNiGe |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
3 |
Structure search |
MP |
a (Å) |
6.2556 |
b (Å) |
3.7472 |
c (Å) |
7.1666 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
167.994 |
Density (g/cm3) |
7.085 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-675.5 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: TiNiGe |
1 entry found |
Compounds with the same elements: Ti-Ni-Ge |
3 entries found |
Binary compounds in Ti-Ni system |
16 entries found |
Binary compounds in Ti-Ge system |
No entries found |
Binary compounds in Ni-Ge system |
12 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 | 4c | 0.750000 | 0.473812 | 0.313699 | 0.00 | . | . |
2 | Ti | 4c | 0.250000 | 0.526188 | 0.686301 | 0.00 | . | . |
3 | Ti | 4c | 0.250000 | 0.026188 | 0.813699 | 0.00 | . | . |
4 | Ti | 4c | 0.750000 | 0.973812 | 0.186301 | 0.00 | . | . |
5 | Ni | 4c | 0.750000 | 0.861437 | 0.559452 | 0.00 | . | . |
6 | Ni | 4c | 0.750000 | 0.361437 | 0.940548 | 0.00 | . | . |
7 | Ni | 4c | 0.250000 | 0.138563 | 0.440548 | 0.00 | . | . |
8 | Ni | 4c | 0.250000 | 0.638563 | 0.059452 | 0.00 | . | . |
9 | Ge | 4c | 0.750000 | 0.243181 | 0.621606 | -0.00 | . | . |
10 | Ge | 4c | 0.250000 | 0.756819 | 0.378394 | -0.00 | . | . |
11 | Ge | 4c | 0.750000 | 0.743181 | 0.878394 | -0.00 | . | . |
12 | Ge | 4c | 0.250000 | 0.256819 | 0.121606 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 4c | 2 | Ti | 4c | 4.12 | . |
1 | Ti | 4c | 3 | Ti | 4c | 5.04 | . |
1 | Ti | 4c | 4 | Ti | 4c | 2.08 | . |
1 | Ti | 4c | 5 | Ni | 4c | 2.28 | . |
1 | Ti | 4c | 6 | Ni | 4c | 2.71 | . |
1 | Ti | 4c | 7 | Ni | 4c | 3.49 | . |
1 | Ti | 4c | 8 | Ni | 4c | 3.67 | . |
1 | Ti | 4c | 9 | Ge | 4c | 2.37 | . |
1 | Ti | 4c | 10 | Ge | 4c | 3.34 | . |
1 | Ti | 4c | 11 | Ge | 4c | 3.28 | . |
1 | Ti | 4c | 12 | Ge | 4c | 3.51 | . |
2 | Ti | 4c | 3 | Ti | 4c | 2.08 | . |
2 | Ti | 4c | 4 | Ti | 4c | 5.04 | . |
2 | Ti | 4c | 5 | Ni | 4c | 3.49 | . |
2 | Ti | 4c | 6 | Ni | 4c | 3.67 | . |
2 | Ti | 4c | 7 | Ni | 4c | 2.28 | . |
2 | Ti | 4c | 8 | Ni | 4c | 2.71 | . |
2 | Ti | 4c | 9 | Ge | 4c | 3.34 | . |
2 | Ti | 4c | 10 | Ge | 4c | 2.37 | . |
2 | Ti | 4c | 11 | Ge | 4c | 3.51 | . |
2 | Ti | 4c | 12 | Ge | 4c | 3.28 | . |
3 | Ti | 4c | 4 | Ti | 4c | 4.12 | . |
3 | Ti | 4c | 5 | Ni | 4c | 3.67 | . |
3 | Ti | 4c | 6 | Ni | 4c | 3.49 | . |
3 | Ti | 4c | 7 | Ni | 4c | 2.71 | . |
3 | Ti | 4c | 8 | Ni | 4c | 2.28 | . |
3 | Ti | 4c | 9 | Ge | 4c | 3.51 | . |
3 | Ti | 4c | 10 | Ge | 4c | 3.28 | . |
3 | Ti | 4c | 11 | Ge | 4c | 3.34 | . |
3 | Ti | 4c | 12 | Ge | 4c | 2.37 | . |
4 | Ti | 4c | 5 | Ni | 4c | 2.71 | . |
4 | Ti | 4c | 6 | Ni | 4c | 2.28 | . |
4 | Ti | 4c | 7 | Ni | 4c | 3.67 | . |
4 | Ti | 4c | 8 | Ni | 4c | 3.49 | . |
4 | Ti | 4c | 9 | Ge | 4c | 3.28 | . |
4 | Ti | 4c | 10 | Ge | 4c | 3.51 | . |
4 | Ti | 4c | 11 | Ge | 4c | 2.37 | . |
4 | Ti | 4c | 12 | Ge | 4c | 3.34 | . |
5 | Ni | 4c | 6 | Ni | 4c | 3.31 | . |
5 | Ni | 4c | 7 | Ni | 4c | 3.40 | . |
5 | Ni | 4c | 8 | Ni | 4c | 4.83 | . |
5 | Ni | 4c | 9 | Ge | 4c | 1.50 | . |
5 | Ni | 4c | 10 | Ge | 4c | 3.41 | . |
5 | Ni | 4c | 11 | Ge | 4c | 2.33 | . |
5 | Ni | 4c | 12 | Ge | 4c | 4.67 | . |
6 | Ni | 4c | 7 | Ni | 4c | 4.83 | . |
6 | Ni | 4c | 8 | Ni | 4c | 3.40 | . |
6 | Ni | 4c | 9 | Ge | 4c | 2.33 | . |
6 | Ni | 4c | 10 | Ge | 4c | 4.67 | . |
6 | Ni | 4c | 11 | Ge | 4c | 1.50 | . |
6 | Ni | 4c | 12 | Ge | 4c | 3.41 | . |
7 | Ni | 4c | 8 | Ni | 4c | 3.31 | . |
7 | Ni | 4c | 9 | Ge | 4c | 3.41 | . |
7 | Ni | 4c | 10 | Ge | 4c | 1.50 | . |
7 | Ni | 4c | 11 | Ge | 4c | 4.67 | . |
7 | Ni | 4c | 12 | Ge | 4c | 2.33 | . |
8 | Ni | 4c | 9 | Ge | 4c | 4.67 | . |
8 | Ni | 4c | 10 | Ge | 4c | 2.33 | . |
8 | Ni | 4c | 11 | Ge | 4c | 3.41 | . |
8 | Ni | 4c | 12 | Ge | 4c | 1.50 | . |
9 | Ge | 4c | 10 | Ge | 4c | 4.02 | . |
9 | Ge | 4c | 11 | Ge | 4c | 2.63 | . |
9 | Ge | 4c | 12 | Ge | 4c | 4.76 | . |
10 | Ge | 4c | 11 | Ge | 4c | 4.76 | . |
10 | Ge | 4c | 12 | Ge | 4c | 2.63 | . |
11 | Ge | 4c | 12 | Ge | 4c | 4.02 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-16356 |