Crystal system |
tetragonal |
Space group number |
127 |
Hermann-Mauguin |
P4/mbm |
Hall |
-P 4 2ab |
Point group |
4/mmm |
Normalized formula |
Ti3Co5B2 |
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) |
8.4375 |
b (Å) |
8.4375 |
c (Å) |
3.0579 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
90.000 |
Volume (Å3) |
217.696 |
Density (g/cm3) |
7.016 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-564.2 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Ti3Co5B2 |
1 entry found |
Compounds with the same elements: Ti-Co-B |
4 entries found |
Binary compounds in Ti-Co system |
7 entries found |
Binary compounds in Ti-B system |
No entries found |
Binary compounds in Co-B system |
6 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 | 2a | 0.000000 | 0.000000 | 0.000000 | 0.00 | . | . |
2 | Ti | 2a | 0.500000 | 0.500000 | 0.000000 | 0.00 | . | . |
3 | Ti | 4g | 0.825325 | 0.325325 | 0.000000 | 0.00 | . | . |
4 | Ti | 4g | 0.325325 | 0.174675 | 0.000000 | 0.00 | . | . |
5 | Ti | 4g | 0.674675 | 0.825325 | 0.000000 | 0.00 | . | . |
6 | Ti | 4g | 0.174675 | 0.674675 | 0.000000 | 0.00 | . | . |
7 | Co | 2c | 0.500000 | 0.000000 | 0.500000 | -0.00 | . | . |
8 | Co | 2c | 0.000000 | 0.500000 | 0.500000 | -0.00 | . | . |
9 | Co | 8j | 0.070813 | 0.220535 | 0.500000 | 0.00 | . | . |
10 | Co | 8j | 0.220535 | 0.929187 | 0.500000 | 0.00 | . | . |
11 | Co | 8j | 0.779465 | 0.070813 | 0.500000 | 0.00 | . | . |
12 | Co | 8j | 0.929187 | 0.779465 | 0.500000 | 0.00 | . | . |
13 | Co | 8j | 0.429187 | 0.720535 | 0.500000 | 0.00 | . | . |
14 | Co | 8j | 0.570813 | 0.279465 | 0.500000 | 0.00 | . | . |
15 | Co | 8j | 0.720535 | 0.570813 | 0.500000 | 0.00 | . | . |
16 | Co | 8j | 0.279465 | 0.429187 | 0.500000 | 0.00 | . | . |
17 | B | 4g | 0.620110 | 0.120110 | 0.000000 | -0.00 | . | . |
18 | B | 4g | 0.120110 | 0.379890 | 0.000000 | -0.00 | . | . |
19 | B | 4g | 0.879890 | 0.620110 | 0.000000 | -0.00 | . | . |
20 | B | 4g | 0.379890 | 0.879890 | 0.000000 | -0.00 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Ti | 2a | 2 | Ti | 2a | 5.97 | . |
1 | Ti | 2a | 3 | Ti | 4g | 3.12 | . |
1 | Ti | 2a | 4 | Ti | 4g | 3.12 | . |
1 | Ti | 2a | 5 | Ti | 4g | 3.12 | . |
1 | Ti | 2a | 6 | Ti | 4g | 3.12 | . |
1 | Ti | 2a | 7 | Co | 2c | 4.49 | . |
1 | Ti | 2a | 8 | Co | 2c | 4.49 | . |
1 | Ti | 2a | 9 | Co | 8j | 2.48 | . |
1 | Ti | 2a | 10 | Co | 8j | 2.48 | . |
1 | Ti | 2a | 11 | Co | 8j | 2.48 | . |
1 | Ti | 2a | 12 | Co | 8j | 2.48 | . |
1 | Ti | 2a | 13 | Co | 8j | 4.58 | . |
1 | Ti | 2a | 14 | Co | 8j | 4.58 | . |
1 | Ti | 2a | 15 | Co | 8j | 4.58 | . |
1 | Ti | 2a | 16 | Co | 8j | 4.58 | . |
1 | Ti | 2a | 17 | B | 4g | 3.36 | . |
1 | Ti | 2a | 18 | B | 4g | 3.36 | . |
1 | Ti | 2a | 19 | B | 4g | 3.36 | . |
1 | Ti | 2a | 20 | B | 4g | 3.36 | . |
2 | Ti | 2a | 3 | Ti | 4g | 3.12 | . |
2 | Ti | 2a | 4 | Ti | 4g | 3.12 | . |
2 | Ti | 2a | 5 | Ti | 4g | 3.12 | . |
2 | Ti | 2a | 6 | Ti | 4g | 3.12 | . |
2 | Ti | 2a | 7 | Co | 2c | 4.49 | . |
2 | Ti | 2a | 8 | Co | 2c | 4.49 | . |
2 | Ti | 2a | 9 | Co | 8j | 4.58 | . |
2 | Ti | 2a | 10 | Co | 8j | 4.58 | . |
2 | Ti | 2a | 11 | Co | 8j | 4.58 | . |
2 | Ti | 2a | 12 | Co | 8j | 4.58 | . |
2 | Ti | 2a | 13 | Co | 8j | 2.48 | . |
2 | Ti | 2a | 14 | Co | 8j | 2.48 | . |
2 | Ti | 2a | 15 | Co | 8j | 2.48 | . |
2 | Ti | 2a | 16 | Co | 8j | 2.48 | . |
2 | Ti | 2a | 17 | B | 4g | 3.36 | . |
2 | Ti | 2a | 18 | B | 4g | 3.36 | . |
2 | Ti | 2a | 19 | B | 4g | 3.36 | . |
2 | Ti | 2a | 20 | B | 4g | 3.36 | . |
3 | Ti | 4g | 4 | Ti | 4g | 4.41 | . |
3 | Ti | 4g | 5 | Ti | 4g | 4.41 | . |
3 | Ti | 4g | 6 | Ti | 4g | 4.17 | . |
3 | Ti | 4g | 7 | Co | 2c | 4.17 | . |
3 | Ti | 4g | 8 | Co | 2c | 2.58 | . |
3 | Ti | 4g | 9 | Co | 8j | 2.72 | . |
3 | Ti | 4g | 10 | Co | 8j | 4.96 | . |
3 | Ti | 4g | 11 | Co | 8j | 2.66 | . |
3 | Ti | 4g | 12 | Co | 8j | 4.22 | . |
3 | Ti | 4g | 13 | Co | 8j | 4.96 | . |
3 | Ti | 4g | 14 | Co | 8j | 2.66 | . |
3 | Ti | 4g | 15 | Co | 8j | 2.72 | . |
3 | Ti | 4g | 16 | Co | 8j | 4.22 | . |
3 | Ti | 4g | 17 | B | 4g | 2.45 | . |
3 | Ti | 4g | 18 | B | 4g | 2.53 | . |
3 | Ti | 4g | 19 | B | 4g | 2.53 | . |
3 | Ti | 4g | 20 | B | 4g | 5.32 | . |
4 | Ti | 4g | 5 | Ti | 4g | 4.17 | . |
4 | Ti | 4g | 6 | Ti | 4g | 4.41 | . |
4 | Ti | 4g | 7 | Co | 2c | 2.58 | . |
4 | Ti | 4g | 8 | Co | 2c | 4.17 | . |
4 | Ti | 4g | 9 | Co | 8j | 2.66 | . |
4 | Ti | 4g | 10 | Co | 8j | 2.72 | . |
4 | Ti | 4g | 11 | Co | 8j | 4.22 | . |
4 | Ti | 4g | 12 | Co | 8j | 4.96 | . |
4 | Ti | 4g | 13 | Co | 8j | 4.22 | . |
4 | Ti | 4g | 14 | Co | 8j | 2.72 | . |
4 | Ti | 4g | 15 | Co | 8j | 4.96 | . |
4 | Ti | 4g | 16 | Co | 8j | 2.66 | . |
4 | Ti | 4g | 17 | B | 4g | 2.53 | . |
4 | Ti | 4g | 18 | B | 4g | 2.45 | . |
4 | Ti | 4g | 19 | B | 4g | 5.32 | . |
4 | Ti | 4g | 20 | B | 4g | 2.53 | . |
5 | Ti | 4g | 6 | Ti | 4g | 4.41 | . |
5 | Ti | 4g | 7 | Co | 2c | 2.58 | . |
5 | Ti | 4g | 8 | Co | 2c | 4.17 | . |
5 | Ti | 4g | 9 | Co | 8j | 4.96 | . |
5 | Ti | 4g | 10 | Co | 8j | 4.22 | . |
5 | Ti | 4g | 11 | Co | 8j | 2.72 | . |
5 | Ti | 4g | 12 | Co | 8j | 2.66 | . |
5 | Ti | 4g | 13 | Co | 8j | 2.72 | . |
5 | Ti | 4g | 14 | Co | 8j | 4.22 | . |
5 | Ti | 4g | 15 | Co | 8j | 2.66 | . |
5 | Ti | 4g | 16 | Co | 8j | 4.96 | . |
5 | Ti | 4g | 17 | B | 4g | 2.53 | . |
5 | Ti | 4g | 18 | B | 4g | 5.32 | . |
5 | Ti | 4g | 19 | B | 4g | 2.45 | . |
5 | Ti | 4g | 20 | B | 4g | 2.53 | . |
6 | Ti | 4g | 7 | Co | 2c | 4.17 | . |
6 | Ti | 4g | 8 | Co | 2c | 2.58 | . |
6 | Ti | 4g | 9 | Co | 8j | 4.22 | . |
6 | Ti | 4g | 10 | Co | 8j | 2.66 | . |
6 | Ti | 4g | 11 | Co | 8j | 4.96 | . |
6 | Ti | 4g | 12 | Co | 8j | 2.72 | . |
6 | Ti | 4g | 13 | Co | 8j | 2.66 | . |
6 | Ti | 4g | 14 | Co | 8j | 4.96 | . |
6 | Ti | 4g | 15 | Co | 8j | 4.22 | . |
6 | Ti | 4g | 16 | Co | 8j | 2.72 | . |
6 | Ti | 4g | 17 | B | 4g | 5.32 | . |
6 | Ti | 4g | 18 | B | 4g | 2.53 | . |
6 | Ti | 4g | 19 | B | 4g | 2.53 | . |
6 | Ti | 4g | 20 | B | 4g | 2.45 | . |
7 | Co | 2c | 8 | Co | 2c | 5.97 | . |
7 | Co | 2c | 9 | Co | 8j | 4.07 | . |
7 | Co | 2c | 10 | Co | 8j | 2.43 | . |
7 | Co | 2c | 11 | Co | 8j | 2.43 | . |
7 | Co | 2c | 12 | Co | 8j | 4.07 | . |
7 | Co | 2c | 13 | Co | 8j | 2.43 | . |
7 | Co | 2c | 14 | Co | 8j | 2.43 | . |
7 | Co | 2c | 15 | Co | 8j | 4.07 | . |
7 | Co | 2c | 16 | Co | 8j | 4.07 | . |
7 | Co | 2c | 17 | B | 4g | 2.10 | . |
7 | Co | 2c | 18 | B | 4g | 4.78 | . |
7 | Co | 2c | 19 | B | 4g | 4.78 | . |
7 | Co | 2c | 20 | B | 4g | 2.10 | . |
8 | Co | 2c | 9 | Co | 8j | 2.43 | . |
8 | Co | 2c | 10 | Co | 8j | 4.07 | . |
8 | Co | 2c | 11 | Co | 8j | 4.07 | . |
8 | Co | 2c | 12 | Co | 8j | 2.43 | . |
8 | Co | 2c | 13 | Co | 8j | 4.07 | . |
8 | Co | 2c | 14 | Co | 8j | 4.07 | . |
8 | Co | 2c | 15 | Co | 8j | 2.43 | . |
8 | Co | 2c | 16 | Co | 8j | 2.43 | . |
8 | Co | 2c | 17 | B | 4g | 4.78 | . |
8 | Co | 2c | 18 | B | 4g | 2.10 | . |
8 | Co | 2c | 19 | B | 4g | 2.10 | . |
8 | Co | 2c | 20 | B | 4g | 4.78 | . |
9 | Co | 8j | 10 | Co | 8j | 2.76 | . |
9 | Co | 8j | 11 | Co | 8j | 2.76 | . |
9 | Co | 8j | 12 | Co | 8j | 3.91 | . |
9 | Co | 8j | 13 | Co | 8j | 5.19 | . |
9 | Co | 8j | 14 | Co | 8j | 4.25 | . |
9 | Co | 8j | 15 | Co | 8j | 4.18 | . |
9 | Co | 8j | 16 | Co | 8j | 2.49 | . |
9 | Co | 8j | 17 | B | 4g | 4.19 | . |
9 | Co | 8j | 18 | B | 4g | 2.08 | . |
9 | Co | 8j | 19 | B | 4g | 4.04 | . |
9 | Co | 8j | 20 | B | 4g | 4.17 | . |
10 | Co | 8j | 11 | Co | 8j | 3.91 | . |
10 | Co | 8j | 12 | Co | 8j | 2.76 | . |
10 | Co | 8j | 13 | Co | 8j | 2.49 | . |
10 | Co | 8j | 14 | Co | 8j | 4.18 | . |
10 | Co | 8j | 15 | Co | 8j | 5.19 | . |
10 | Co | 8j | 16 | Co | 8j | 4.25 | . |
10 | Co | 8j | 17 | B | 4g | 4.04 | . |
10 | Co | 8j | 18 | B | 4g | 4.19 | . |
10 | Co | 8j | 19 | B | 4g | 4.17 | . |
10 | Co | 8j | 20 | B | 4g | 2.08 | . |
11 | Co | 8j | 12 | Co | 8j | 2.76 | . |
11 | Co | 8j | 13 | Co | 8j | 4.18 | . |
11 | Co | 8j | 14 | Co | 8j | 2.49 | . |
11 | Co | 8j | 15 | Co | 8j | 4.25 | . |
11 | Co | 8j | 16 | Co | 8j | 5.19 | . |
11 | Co | 8j | 17 | B | 4g | 2.08 | . |
11 | Co | 8j | 18 | B | 4g | 4.17 | . |
11 | Co | 8j | 19 | B | 4g | 4.19 | . |
11 | Co | 8j | 20 | B | 4g | 4.04 | . |
12 | Co | 8j | 13 | Co | 8j | 4.25 | . |
12 | Co | 8j | 14 | Co | 8j | 5.19 | . |
12 | Co | 8j | 15 | Co | 8j | 2.49 | . |
12 | Co | 8j | 16 | Co | 8j | 4.18 | . |
12 | Co | 8j | 17 | B | 4g | 4.17 | . |
12 | Co | 8j | 18 | B | 4g | 4.04 | . |
12 | Co | 8j | 19 | B | 4g | 2.08 | . |
12 | Co | 8j | 20 | B | 4g | 4.19 | . |
13 | Co | 8j | 14 | Co | 8j | 3.91 | . |
13 | Co | 8j | 15 | Co | 8j | 2.76 | . |
13 | Co | 8j | 16 | Co | 8j | 2.76 | . |
13 | Co | 8j | 17 | B | 4g | 4.04 | . |
13 | Co | 8j | 18 | B | 4g | 4.17 | . |
13 | Co | 8j | 19 | B | 4g | 4.19 | . |
13 | Co | 8j | 20 | B | 4g | 2.08 | . |
14 | Co | 8j | 15 | Co | 8j | 2.76 | . |
14 | Co | 8j | 16 | Co | 8j | 2.76 | . |
14 | Co | 8j | 17 | B | 4g | 2.08 | . |
14 | Co | 8j | 18 | B | 4g | 4.19 | . |
14 | Co | 8j | 19 | B | 4g | 4.17 | . |
14 | Co | 8j | 20 | B | 4g | 4.04 | . |
15 | Co | 8j | 16 | Co | 8j | 3.91 | . |
15 | Co | 8j | 17 | B | 4g | 4.19 | . |
15 | Co | 8j | 18 | B | 4g | 4.04 | . |
15 | Co | 8j | 19 | B | 4g | 2.08 | . |
15 | Co | 8j | 20 | B | 4g | 4.17 | . |
16 | Co | 8j | 17 | B | 4g | 4.17 | . |
16 | Co | 8j | 18 | B | 4g | 2.08 | . |
16 | Co | 8j | 19 | B | 4g | 4.04 | . |
16 | Co | 8j | 20 | B | 4g | 4.19 | . |
17 | B | 4g | 18 | B | 4g | 4.75 | . |
17 | B | 4g | 19 | B | 4g | 4.75 | . |
17 | B | 4g | 20 | B | 4g | 2.87 | . |
18 | B | 4g | 19 | B | 4g | 2.87 | . |
18 | B | 4g | 20 | B | 4g | 4.75 | . |
19 | B | 4g | 20 | B | 4g | 4.75 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-504617 |