Crystal system |
trigonal |
Space group number |
166 |
Hermann-Mauguin |
R-3m |
Hall |
-R 3 2" |
Point group |
-3m |
Normalized formula |
Fe3S4 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
21 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
3.3245 |
b (Å) |
3.3245 |
c (Å) |
33.7215 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
322.769 |
Density (g/cm3) |
4.565 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-309.0 meV/atom |
Formation energy above hull |
208.2 meV/atom |
Compounds with the same formula: Fe3S4 |
4 entries found |
Compounds with the same elements: Fe-S |
45 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
4.04 μB/cell |
Averaged magnetic moment |
0.19 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.15 T (= 119.4 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 | Fe | 6c | 0.666667 | 0.333333 | 0.910616 | 0.77 | . | . |
2 | Fe | 6c | 0.666667 | 0.333333 | 0.756051 | 0.77 | . | . |
3 | Fe | 6c | 0.666667 | 0.333333 | 0.833333 | -0.22 | . | . |
4 | Fe | 6c | 0.333333 | 0.666667 | 0.243949 | 0.77 | . | . |
5 | Fe | 6c | 0.333333 | 0.666667 | 0.089384 | 0.77 | . | . |
6 | Fe | 6c | 0.333333 | 0.666667 | 0.166667 | -0.22 | . | . |
7 | Fe | 3b | 0.000000 | 0.000000 | 0.577283 | 0.77 | . | . |
8 | Fe | 3b | 0.000000 | 0.000000 | 0.422717 | 0.77 | . | . |
9 | Fe | 3b | 0.000000 | 0.000000 | 0.500000 | -0.22 | . | . |
10 | S | 6c | 0.000000 | 0.000000 | 0.869048 | 0.01 | . | . |
11 | S | 6c | 0.333333 | 0.666667 | 0.797619 | 0.01 | . | . |
12 | S | 6c | 0.000000 | 0.000000 | 0.721505 | -0.02 | . | . |
13 | S | 6c | 0.333333 | 0.666667 | 0.945162 | -0.02 | . | . |
14 | S | 6c | 0.666667 | 0.333333 | 0.202381 | 0.01 | . | . |
15 | S | 6c | 0.000000 | 0.000000 | 0.130952 | 0.01 | . | . |
16 | S | 6c | 0.666667 | 0.333333 | 0.054838 | -0.02 | . | . |
17 | S | 6c | 0.000000 | 0.000000 | 0.278495 | -0.02 | . | . |
18 | S | 6c | 0.333333 | 0.666667 | 0.535714 | 0.01 | . | . |
19 | S | 6c | 0.666667 | 0.333333 | 0.464286 | 0.01 | . | . |
20 | S | 6c | 0.333333 | 0.666667 | 0.388171 | -0.02 | . | . |
21 | S | 6c | 0.666667 | 0.333333 | 0.611829 | -0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Fe | 6c | 2 | Fe | 6c | 5.21 | . |
1 | Fe | 6c | 3 | Fe | 6c | 2.61 | . |
1 | Fe | 6c | 4 | Fe | 6c | 11.40 | . |
1 | Fe | 6c | 5 | Fe | 6c | 6.33 | . |
1 | Fe | 6c | 6 | Fe | 6c | 8.85 | . |
1 | Fe | 6c | 7 | Fe | 3b | 11.40 | . |
1 | Fe | 6c | 8 | Fe | 3b | 16.56 | . |
1 | Fe | 6c | 9 | Fe | 3b | 13.98 | . |
1 | Fe | 6c | 10 | S | 6c | 2.38 | . |
1 | Fe | 6c | 11 | S | 6c | 4.27 | . |
1 | Fe | 6c | 12 | S | 6c | 6.66 | . |
1 | Fe | 6c | 13 | S | 6c | 2.25 | . |
1 | Fe | 6c | 14 | S | 6c | 9.84 | . |
1 | Fe | 6c | 15 | S | 6c | 7.67 | . |
1 | Fe | 6c | 16 | S | 6c | 4.86 | . |
1 | Fe | 6c | 17 | S | 6c | 12.55 | . |
1 | Fe | 6c | 18 | S | 6c | 12.79 | . |
1 | Fe | 6c | 19 | S | 6c | 15.05 | . |
1 | Fe | 6c | 20 | S | 6c | 16.22 | . |
1 | Fe | 6c | 21 | S | 6c | 10.08 | . |
2 | Fe | 6c | 3 | Fe | 6c | 2.61 | . |
2 | Fe | 6c | 4 | Fe | 6c | 16.56 | . |
2 | Fe | 6c | 5 | Fe | 6c | 11.40 | . |
2 | Fe | 6c | 6 | Fe | 6c | 13.98 | . |
2 | Fe | 6c | 7 | Fe | 3b | 6.33 | . |
2 | Fe | 6c | 8 | Fe | 3b | 11.40 | . |
2 | Fe | 6c | 9 | Fe | 3b | 8.85 | . |
2 | Fe | 6c | 10 | S | 6c | 4.27 | . |
2 | Fe | 6c | 11 | S | 6c | 2.38 | . |
2 | Fe | 6c | 12 | S | 6c | 2.25 | . |
2 | Fe | 6c | 13 | S | 6c | 6.66 | . |
2 | Fe | 6c | 14 | S | 6c | 15.05 | . |
2 | Fe | 6c | 15 | S | 6c | 12.79 | . |
2 | Fe | 6c | 16 | S | 6c | 10.08 | . |
2 | Fe | 6c | 17 | S | 6c | 16.22 | . |
2 | Fe | 6c | 18 | S | 6c | 7.67 | . |
2 | Fe | 6c | 19 | S | 6c | 9.84 | . |
2 | Fe | 6c | 20 | S | 6c | 12.55 | . |
2 | Fe | 6c | 21 | S | 6c | 4.86 | . |
3 | Fe | 6c | 4 | Fe | 6c | 13.98 | . |
3 | Fe | 6c | 5 | Fe | 6c | 8.85 | . |
3 | Fe | 6c | 6 | Fe | 6c | 11.40 | . |
3 | Fe | 6c | 7 | Fe | 3b | 8.85 | . |
3 | Fe | 6c | 8 | Fe | 3b | 13.98 | . |
3 | Fe | 6c | 9 | Fe | 3b | 11.40 | . |
3 | Fe | 6c | 10 | S | 6c | 2.27 | . |
3 | Fe | 6c | 11 | S | 6c | 2.27 | . |
3 | Fe | 6c | 12 | S | 6c | 4.23 | . |
3 | Fe | 6c | 13 | S | 6c | 4.23 | . |
3 | Fe | 6c | 14 | S | 6c | 12.44 | . |
3 | Fe | 6c | 15 | S | 6c | 10.22 | . |
3 | Fe | 6c | 16 | S | 6c | 7.47 | . |
3 | Fe | 6c | 17 | S | 6c | 15.13 | . |
3 | Fe | 6c | 18 | S | 6c | 10.22 | . |
3 | Fe | 6c | 19 | S | 6c | 12.44 | . |
3 | Fe | 6c | 20 | S | 6c | 15.13 | . |
3 | Fe | 6c | 21 | S | 6c | 7.47 | . |
4 | Fe | 6c | 5 | Fe | 6c | 5.21 | . |
4 | Fe | 6c | 6 | Fe | 6c | 2.61 | . |
4 | Fe | 6c | 7 | Fe | 3b | 11.40 | . |
4 | Fe | 6c | 8 | Fe | 3b | 6.33 | . |
4 | Fe | 6c | 9 | Fe | 3b | 8.85 | . |
4 | Fe | 6c | 10 | S | 6c | 12.79 | . |
4 | Fe | 6c | 11 | S | 6c | 15.05 | . |
4 | Fe | 6c | 12 | S | 6c | 16.22 | . |
4 | Fe | 6c | 13 | S | 6c | 10.08 | . |
4 | Fe | 6c | 14 | S | 6c | 2.38 | . |
4 | Fe | 6c | 15 | S | 6c | 4.27 | . |
4 | Fe | 6c | 16 | S | 6c | 6.66 | . |
4 | Fe | 6c | 17 | S | 6c | 2.25 | . |
4 | Fe | 6c | 18 | S | 6c | 9.84 | . |
4 | Fe | 6c | 19 | S | 6c | 7.67 | . |
4 | Fe | 6c | 20 | S | 6c | 4.86 | . |
4 | Fe | 6c | 21 | S | 6c | 12.55 | . |
5 | Fe | 6c | 6 | Fe | 6c | 2.61 | . |
5 | Fe | 6c | 7 | Fe | 3b | 16.56 | . |
5 | Fe | 6c | 8 | Fe | 3b | 11.40 | . |
5 | Fe | 6c | 9 | Fe | 3b | 13.98 | . |
5 | Fe | 6c | 10 | S | 6c | 7.67 | . |
5 | Fe | 6c | 11 | S | 6c | 9.84 | . |
5 | Fe | 6c | 12 | S | 6c | 12.55 | . |
5 | Fe | 6c | 13 | S | 6c | 4.86 | . |
5 | Fe | 6c | 14 | S | 6c | 4.27 | . |
5 | Fe | 6c | 15 | S | 6c | 2.38 | . |
5 | Fe | 6c | 16 | S | 6c | 2.25 | . |
5 | Fe | 6c | 17 | S | 6c | 6.66 | . |
5 | Fe | 6c | 18 | S | 6c | 15.05 | . |
5 | Fe | 6c | 19 | S | 6c | 12.79 | . |
5 | Fe | 6c | 20 | S | 6c | 10.08 | . |
5 | Fe | 6c | 21 | S | 6c | 16.22 | . |
6 | Fe | 6c | 7 | Fe | 3b | 13.98 | . |
6 | Fe | 6c | 8 | Fe | 3b | 8.85 | . |
6 | Fe | 6c | 9 | Fe | 3b | 11.40 | . |
6 | Fe | 6c | 10 | S | 6c | 10.22 | . |
6 | Fe | 6c | 11 | S | 6c | 12.44 | . |
6 | Fe | 6c | 12 | S | 6c | 15.13 | . |
6 | Fe | 6c | 13 | S | 6c | 7.47 | . |
6 | Fe | 6c | 14 | S | 6c | 2.27 | . |
6 | Fe | 6c | 15 | S | 6c | 2.27 | . |
6 | Fe | 6c | 16 | S | 6c | 4.23 | . |
6 | Fe | 6c | 17 | S | 6c | 4.23 | . |
6 | Fe | 6c | 18 | S | 6c | 12.44 | . |
6 | Fe | 6c | 19 | S | 6c | 10.22 | . |
6 | Fe | 6c | 20 | S | 6c | 7.47 | . |
6 | Fe | 6c | 21 | S | 6c | 15.13 | . |
7 | Fe | 3b | 8 | Fe | 3b | 5.21 | . |
7 | Fe | 3b | 9 | Fe | 3b | 2.61 | . |
7 | Fe | 3b | 10 | S | 6c | 9.84 | . |
7 | Fe | 3b | 11 | S | 6c | 7.67 | . |
7 | Fe | 3b | 12 | S | 6c | 4.86 | . |
7 | Fe | 3b | 13 | S | 6c | 12.55 | . |
7 | Fe | 3b | 14 | S | 6c | 12.79 | . |
7 | Fe | 3b | 15 | S | 6c | 15.05 | . |
7 | Fe | 3b | 16 | S | 6c | 16.22 | . |
7 | Fe | 3b | 17 | S | 6c | 10.08 | . |
7 | Fe | 3b | 18 | S | 6c | 2.38 | . |
7 | Fe | 3b | 19 | S | 6c | 4.27 | . |
7 | Fe | 3b | 20 | S | 6c | 6.66 | . |
7 | Fe | 3b | 21 | S | 6c | 2.25 | . |
8 | Fe | 3b | 9 | Fe | 3b | 2.61 | . |
8 | Fe | 3b | 10 | S | 6c | 15.05 | . |
8 | Fe | 3b | 11 | S | 6c | 12.79 | . |
8 | Fe | 3b | 12 | S | 6c | 10.08 | . |
8 | Fe | 3b | 13 | S | 6c | 16.22 | . |
8 | Fe | 3b | 14 | S | 6c | 7.67 | . |
8 | Fe | 3b | 15 | S | 6c | 9.84 | . |
8 | Fe | 3b | 16 | S | 6c | 12.55 | . |
8 | Fe | 3b | 17 | S | 6c | 4.86 | . |
8 | Fe | 3b | 18 | S | 6c | 4.27 | . |
8 | Fe | 3b | 19 | S | 6c | 2.38 | . |
8 | Fe | 3b | 20 | S | 6c | 2.25 | . |
8 | Fe | 3b | 21 | S | 6c | 6.66 | . |
9 | Fe | 3b | 10 | S | 6c | 12.44 | . |
9 | Fe | 3b | 11 | S | 6c | 10.22 | . |
9 | Fe | 3b | 12 | S | 6c | 7.47 | . |
9 | Fe | 3b | 13 | S | 6c | 15.13 | . |
9 | Fe | 3b | 14 | S | 6c | 10.22 | . |
9 | Fe | 3b | 15 | S | 6c | 12.44 | . |
9 | Fe | 3b | 16 | S | 6c | 15.13 | . |
9 | Fe | 3b | 17 | S | 6c | 7.47 | . |
9 | Fe | 3b | 18 | S | 6c | 2.27 | . |
9 | Fe | 3b | 19 | S | 6c | 2.27 | . |
9 | Fe | 3b | 20 | S | 6c | 4.23 | . |
9 | Fe | 3b | 21 | S | 6c | 4.23 | . |
10 | S | 6c | 11 | S | 6c | 3.08 | . |
10 | S | 6c | 12 | S | 6c | 4.98 | . |
10 | S | 6c | 13 | S | 6c | 3.20 | . |
10 | S | 6c | 14 | S | 6c | 11.40 | . |
10 | S | 6c | 15 | S | 6c | 8.83 | . |
10 | S | 6c | 16 | S | 6c | 6.55 | . |
10 | S | 6c | 17 | S | 6c | 13.81 | . |
10 | S | 6c | 18 | S | 6c | 11.40 | . |
10 | S | 6c | 19 | S | 6c | 13.78 | . |
10 | S | 6c | 20 | S | 6c | 16.33 | . |
10 | S | 6c | 21 | S | 6c | 8.88 | . |
11 | S | 6c | 12 | S | 6c | 3.20 | . |
11 | S | 6c | 13 | S | 6c | 4.98 | . |
11 | S | 6c | 14 | S | 6c | 13.78 | . |
11 | S | 6c | 15 | S | 6c | 11.40 | . |
11 | S | 6c | 16 | S | 6c | 8.88 | . |
11 | S | 6c | 17 | S | 6c | 16.33 | . |
11 | S | 6c | 18 | S | 6c | 8.83 | . |
11 | S | 6c | 19 | S | 6c | 11.40 | . |
11 | S | 6c | 20 | S | 6c | 13.81 | . |
11 | S | 6c | 21 | S | 6c | 6.55 | . |
12 | S | 6c | 13 | S | 6c | 7.78 | . |
12 | S | 6c | 14 | S | 6c | 16.33 | . |
12 | S | 6c | 15 | S | 6c | 13.81 | . |
12 | S | 6c | 16 | S | 6c | 11.40 | . |
12 | S | 6c | 17 | S | 6c | 14.94 | . |
12 | S | 6c | 18 | S | 6c | 6.55 | . |
12 | S | 6c | 19 | S | 6c | 8.88 | . |
12 | S | 6c | 20 | S | 6c | 11.40 | . |
12 | S | 6c | 21 | S | 6c | 4.17 | . |
13 | S | 6c | 14 | S | 6c | 8.88 | . |
13 | S | 6c | 15 | S | 6c | 6.55 | . |
13 | S | 6c | 16 | S | 6c | 4.17 | . |
13 | S | 6c | 17 | S | 6c | 11.40 | . |
13 | S | 6c | 18 | S | 6c | 13.81 | . |
13 | S | 6c | 19 | S | 6c | 16.33 | . |
13 | S | 6c | 20 | S | 6c | 14.94 | . |
13 | S | 6c | 21 | S | 6c | 11.40 | . |
14 | S | 6c | 15 | S | 6c | 3.08 | . |
14 | S | 6c | 16 | S | 6c | 4.98 | . |
14 | S | 6c | 17 | S | 6c | 3.20 | . |
14 | S | 6c | 18 | S | 6c | 11.40 | . |
14 | S | 6c | 19 | S | 6c | 8.83 | . |
14 | S | 6c | 20 | S | 6c | 6.55 | . |
14 | S | 6c | 21 | S | 6c | 13.81 | . |
15 | S | 6c | 16 | S | 6c | 3.20 | . |
15 | S | 6c | 17 | S | 6c | 4.98 | . |
15 | S | 6c | 18 | S | 6c | 13.78 | . |
15 | S | 6c | 19 | S | 6c | 11.40 | . |
15 | S | 6c | 20 | S | 6c | 8.88 | . |
15 | S | 6c | 21 | S | 6c | 16.33 | . |
16 | S | 6c | 17 | S | 6c | 7.78 | . |
16 | S | 6c | 18 | S | 6c | 16.33 | . |
16 | S | 6c | 19 | S | 6c | 13.81 | . |
16 | S | 6c | 20 | S | 6c | 11.40 | . |
16 | S | 6c | 21 | S | 6c | 14.94 | . |
17 | S | 6c | 18 | S | 6c | 8.88 | . |
17 | S | 6c | 19 | S | 6c | 6.55 | . |
17 | S | 6c | 20 | S | 6c | 4.17 | . |
17 | S | 6c | 21 | S | 6c | 11.40 | . |
18 | S | 6c | 19 | S | 6c | 3.08 | . |
18 | S | 6c | 20 | S | 6c | 4.98 | . |
18 | S | 6c | 21 | S | 6c | 3.21 | . |
19 | S | 6c | 20 | S | 6c | 3.21 | . |
19 | S | 6c | 21 | S | 6c | 4.98 | . |
20 | S | 6c | 21 | S | 6c | 7.78 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-7096 |