Crystal system |
hexagonal |
Space group number |
194 |
Hermann-Mauguin |
P6_3/mmc |
Hall |
-P 6c 2c |
Point group |
6/mmm |
Normalized formula |
Zr3C |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
8 |
The number of inequivalent sites per unit cell |
2 |
Structure search |
MP |
a (Å) |
5.8993 |
b (Å) |
5.8993 |
c (Å) |
4.6397 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
139.835 |
Density (g/cm3) |
6.785 |
| DFT calculations (details) | |
|---|---|
Formation energy (vs. elemental phases) |
677.8 meV/atom |
Formation energy above hull |
1158.3 meV/atom |
| 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 | 6h | 0.175424 | 0.350849 | 0.250000 | -0.00 | . | . |
| 2 | Zr | 6h | 0.649151 | 0.824576 | 0.250000 | -0.00 | . | . |
| 3 | Zr | 6h | 0.175424 | 0.824576 | 0.250000 | -0.00 | . | . |
| 4 | Zr | 6h | 0.824576 | 0.649151 | 0.750000 | -0.00 | . | . |
| 5 | Zr | 6h | 0.350849 | 0.175424 | 0.750000 | -0.00 | . | . |
| 6 | Zr | 6h | 0.824576 | 0.175424 | 0.750000 | -0.00 | . | . |
| 7 | C | 2d | 0.333333 | 0.666667 | 0.750000 | -0.00 | . | . |
| 8 | C | 2d | 0.666667 | 0.333333 | 0.250000 | -0.00 | . | . |
| site i | site j | distance (Å) | Jij (meV) | ||||
|---|---|---|---|---|---|---|---|
| 1 | Zr | 6h | 2 | Zr | 6h | 2.79 | . |
| 1 | Zr | 6h | 3 | Zr | 6h | 2.79 | . |
| 1 | Zr | 6h | 4 | Zr | 6h | 4.05 | . |
| 1 | Zr | 6h | 5 | Zr | 6h | 2.93 | . |
| 1 | Zr | 6h | 6 | Zr | 6h | 2.93 | . |
| 1 | Zr | 6h | 7 | C | 2d | 2.83 | . |
| 1 | Zr | 6h | 8 | C | 2d | 2.95 | . |
| 2 | Zr | 6h | 3 | Zr | 6h | 2.79 | . |
| 2 | Zr | 6h | 4 | Zr | 6h | 2.93 | . |
| 2 | Zr | 6h | 5 | Zr | 6h | 4.05 | . |
| 2 | Zr | 6h | 6 | Zr | 6h | 2.93 | . |
| 2 | Zr | 6h | 7 | C | 2d | 2.83 | . |
| 2 | Zr | 6h | 8 | C | 2d | 2.95 | . |
| 3 | Zr | 6h | 4 | Zr | 6h | 2.93 | . |
| 3 | Zr | 6h | 5 | Zr | 6h | 2.93 | . |
| 3 | Zr | 6h | 6 | Zr | 6h | 4.05 | . |
| 3 | Zr | 6h | 7 | C | 2d | 2.83 | . |
| 3 | Zr | 6h | 8 | C | 2d | 2.95 | . |
| 4 | Zr | 6h | 5 | Zr | 6h | 2.79 | . |
| 4 | Zr | 6h | 6 | Zr | 6h | 2.79 | . |
| 4 | Zr | 6h | 7 | C | 2d | 2.95 | . |
| 4 | Zr | 6h | 8 | C | 2d | 2.83 | . |
| 5 | Zr | 6h | 6 | Zr | 6h | 2.79 | . |
| 5 | Zr | 6h | 7 | C | 2d | 2.95 | . |
| 5 | Zr | 6h | 8 | C | 2d | 2.83 | . |
| 6 | Zr | 6h | 7 | C | 2d | 2.95 | . |
| 6 | Zr | 6h | 8 | C | 2d | 2.83 | . |
| 7 | C | 2d | 8 | C | 2d | 4.12 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1188023 |