Crystal system |
monoclinic |
Space group number |
12 |
Hermann-Mauguin |
C2/m |
Hall |
-C 2y |
Point group |
2/m |
Normalized formula |
Cr3S4 |
The number of formula units per unit cell |
2 |
The total number of atoms per unit cell |
14 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
12.6187 |
b (Å) |
3.4609 |
c (Å) |
6.0723 |
α (deg.) |
90.000 |
β (deg.) |
117.058 |
γ (deg.) |
90.000 |
Volume (Å3) |
236.164 |
Density (g/cm3) |
3.997 |
| DFT calculations (details) | |
|---|---|
Formation energy (vs. elemental phases) |
-678.0 meV/atom |
Formation energy above hull |
1.9 meV/atom |
Compounds with the same formula: Cr3S4 |
2 entries found |
Compounds with the same elements: Cr-S |
16 entries found |
| DFT calculations (details) | |
|---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
18.76 μB/cell |
Averaged magnetic moment |
1.34 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.93 T (= 740.1 emu/cm3) |
| LMTO-GF calculations (details) | |
|---|---|
Curie temperature, TC |
|
| DFT calculations (details) | |
|---|---|
Magnetic easy axis |
|
Magnetic hardness parameter, κ |
|
| index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
|---|---|---|---|---|---|---|---|---|
| 1 | Cr | 4i | 0.264115 | 0.000000 | 0.280782 | 2.74 | . | . |
| 2 | Cr | 4i | 0.235885 | 0.500000 | 0.719218 | 2.74 | . | . |
| 3 | Cr | 4i | 0.500000 | 0.500000 | -0.000000 | 2.84 | . | . |
| 4 | Cr | 4i | 0.764115 | 0.500000 | 0.280782 | 2.74 | . | . |
| 5 | Cr | 2a | 0.735885 | 0.000000 | 0.719218 | 2.74 | . | . |
| 6 | Cr | 2a | 0.000000 | 0.000000 | 0.000000 | 2.84 | . | . |
| 7 | S | 4i | 0.375329 | 0.500000 | 0.552449 | -0.07 | . | . |
| 8 | S | 4i | 0.124671 | 0.000000 | 0.447551 | -0.07 | . | . |
| 9 | S | 4i | 0.366107 | 0.000000 | 0.020001 | -0.04 | . | . |
| 10 | S | 4i | 0.133893 | 0.500000 | 0.979999 | -0.04 | . | . |
| 11 | S | 4i | 0.875329 | 0.000000 | 0.552449 | -0.07 | . | . |
| 12 | S | 4i | 0.624671 | 0.500000 | 0.447551 | -0.07 | . | . |
| 13 | S | 4i | 0.866107 | 0.500000 | 0.020001 | -0.04 | . | . |
| 14 | S | 4i | 0.633893 | 0.000000 | 0.979999 | -0.04 | . | . |
| site i | site j | distance (Å) | Jij (meV) | ||||
|---|---|---|---|---|---|---|---|
| 1 | Cr | 4i | 2 | Cr | 4i | 3.33 | . |
| 1 | Cr | 4i | 3 | Cr | 4i | 4.37 | . |
| 1 | Cr | 4i | 4 | Cr | 4i | 6.54 | . |
| 1 | Cr | 4i | 5 | Cr | 2a | 5.30 | . |
| 1 | Cr | 4i | 6 | Cr | 2a | 2.97 | . |
| 1 | Cr | 4i | 7 | S | 4i | 2.36 | . |
| 1 | Cr | 4i | 8 | S | 4i | 2.40 | . |
| 1 | Cr | 4i | 9 | S | 4i | 2.45 | . |
| 1 | Cr | 4i | 10 | S | 4i | 2.51 | . |
| 1 | Cr | 4i | 11 | S | 4i | 4.89 | . |
| 1 | Cr | 4i | 12 | S | 4i | 4.53 | . |
| 1 | Cr | 4i | 13 | S | 4i | 4.85 | . |
| 1 | Cr | 4i | 14 | S | 4i | 4.67 | . |
| 2 | Cr | 4i | 3 | Cr | 4i | 2.97 | . |
| 2 | Cr | 4i | 4 | Cr | 4i | 5.30 | . |
| 2 | Cr | 4i | 5 | Cr | 2a | 6.54 | . |
| 2 | Cr | 4i | 6 | Cr | 2a | 4.37 | . |
| 2 | Cr | 4i | 7 | S | 4i | 2.40 | . |
| 2 | Cr | 4i | 8 | S | 4i | 2.36 | . |
| 2 | Cr | 4i | 9 | S | 4i | 2.51 | . |
| 2 | Cr | 4i | 10 | S | 4i | 2.45 | . |
| 2 | Cr | 4i | 11 | S | 4i | 4.53 | . |
| 2 | Cr | 4i | 12 | S | 4i | 4.89 | . |
| 2 | Cr | 4i | 13 | S | 4i | 4.67 | . |
| 2 | Cr | 4i | 14 | S | 4i | 4.85 | . |
| 3 | Cr | 4i | 4 | Cr | 4i | 2.97 | . |
| 3 | Cr | 4i | 5 | Cr | 2a | 4.37 | . |
| 3 | Cr | 4i | 6 | Cr | 2a | 6.54 | . |
| 3 | Cr | 4i | 7 | S | 4i | 2.44 | . |
| 3 | Cr | 4i | 8 | S | 4i | 4.71 | . |
| 3 | Cr | 4i | 9 | S | 4i | 2.46 | . |
| 3 | Cr | 4i | 10 | S | 4i | 4.57 | . |
| 3 | Cr | 4i | 11 | S | 4i | 4.71 | . |
| 3 | Cr | 4i | 12 | S | 4i | 2.44 | . |
| 3 | Cr | 4i | 13 | S | 4i | 4.57 | . |
| 3 | Cr | 4i | 14 | S | 4i | 2.46 | . |
| 4 | Cr | 4i | 5 | Cr | 2a | 3.33 | . |
| 4 | Cr | 4i | 6 | Cr | 2a | 4.37 | . |
| 4 | Cr | 4i | 7 | S | 4i | 4.89 | . |
| 4 | Cr | 4i | 8 | S | 4i | 4.53 | . |
| 4 | Cr | 4i | 9 | S | 4i | 4.85 | . |
| 4 | Cr | 4i | 10 | S | 4i | 4.67 | . |
| 4 | Cr | 4i | 11 | S | 4i | 2.36 | . |
| 4 | Cr | 4i | 12 | S | 4i | 2.40 | . |
| 4 | Cr | 4i | 13 | S | 4i | 2.45 | . |
| 4 | Cr | 4i | 14 | S | 4i | 2.51 | . |
| 5 | Cr | 2a | 6 | Cr | 2a | 2.97 | . |
| 5 | Cr | 2a | 7 | S | 4i | 4.53 | . |
| 5 | Cr | 2a | 8 | S | 4i | 4.89 | . |
| 5 | Cr | 2a | 9 | S | 4i | 4.67 | . |
| 5 | Cr | 2a | 10 | S | 4i | 4.85 | . |
| 5 | Cr | 2a | 11 | S | 4i | 2.40 | . |
| 5 | Cr | 2a | 12 | S | 4i | 2.36 | . |
| 5 | Cr | 2a | 13 | S | 4i | 2.51 | . |
| 5 | Cr | 2a | 14 | S | 4i | 2.45 | . |
| 6 | Cr | 2a | 7 | S | 4i | 4.71 | . |
| 6 | Cr | 2a | 8 | S | 4i | 2.44 | . |
| 6 | Cr | 2a | 9 | S | 4i | 4.57 | . |
| 6 | Cr | 2a | 10 | S | 4i | 2.46 | . |
| 6 | Cr | 2a | 11 | S | 4i | 2.44 | . |
| 6 | Cr | 2a | 12 | S | 4i | 4.71 | . |
| 6 | Cr | 2a | 13 | S | 4i | 2.46 | . |
| 6 | Cr | 2a | 14 | S | 4i | 4.57 | . |
| 7 | S | 4i | 8 | S | 4i | 3.40 | . |
| 7 | S | 4i | 9 | S | 4i | 3.37 | . |
| 7 | S | 4i | 10 | S | 4i | 3.42 | . |
| 7 | S | 4i | 11 | S | 4i | 6.54 | . |
| 7 | S | 4i | 12 | S | 4i | 3.48 | . |
| 7 | S | 4i | 13 | S | 4i | 5.52 | . |
| 7 | S | 4i | 14 | S | 4i | 3.56 | . |
| 8 | S | 4i | 9 | S | 4i | 3.42 | . |
| 8 | S | 4i | 10 | S | 4i | 3.37 | . |
| 8 | S | 4i | 11 | S | 4i | 3.48 | . |
| 8 | S | 4i | 12 | S | 4i | 6.54 | . |
| 8 | S | 4i | 13 | S | 4i | 3.56 | . |
| 8 | S | 4i | 14 | S | 4i | 5.52 | . |
| 9 | S | 4i | 10 | S | 4i | 3.32 | . |
| 9 | S | 4i | 11 | S | 4i | 5.52 | . |
| 9 | S | 4i | 12 | S | 4i | 3.56 | . |
| 9 | S | 4i | 13 | S | 4i | 6.54 | . |
| 9 | S | 4i | 14 | S | 4i | 3.50 | . |
| 10 | S | 4i | 11 | S | 4i | 3.56 | . |
| 10 | S | 4i | 12 | S | 4i | 5.52 | . |
| 10 | S | 4i | 13 | S | 4i | 3.50 | . |
| 10 | S | 4i | 14 | S | 4i | 6.54 | . |
| 11 | S | 4i | 12 | S | 4i | 3.40 | . |
| 11 | S | 4i | 13 | S | 4i | 3.37 | . |
| 11 | S | 4i | 14 | S | 4i | 3.42 | . |
| 12 | S | 4i | 13 | S | 4i | 3.42 | . |
| 12 | S | 4i | 14 | S | 4i | 3.37 | . |
| 13 | S | 4i | 14 | S | 4i | 3.32 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-964 |