Crystal system |
trigonal |
Space group number |
160 |
Hermann-Mauguin |
R3m |
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 |
7 |
Structure search |
MP |
a (Å) |
3.0579 |
b (Å) |
3.0579 |
c (Å) |
38.5864 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
312.480 |
Density (g/cm3) |
4.716 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-149.5 meV/atom |
Formation energy above hull |
367.6 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 |
10.28 μB/cell |
Averaged magnetic moment |
0.49 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.38 T (= 302.4 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 | 3a | 0.000000 | 0.000000 | 0.118434 | 0.58 | . | . |
2 | Fe | 3a | 0.000000 | 0.000000 | 0.295878 | 0.55 | . | . |
3 | Fe | 3a | 0.333333 | 0.666667 | 0.207205 | 2.20 | . | . |
4 | Fe | 3a | 0.666667 | 0.333333 | 0.451767 | 0.58 | . | . |
5 | Fe | 3a | 0.666667 | 0.333333 | 0.629211 | 0.55 | . | . |
6 | Fe | 3a | 0.000000 | 0.000000 | 0.540538 | 2.20 | . | . |
7 | Fe | 3a | 0.333333 | 0.666667 | 0.785101 | 0.58 | . | . |
8 | Fe | 3a | 0.333333 | 0.666667 | 0.962545 | 0.55 | . | . |
9 | Fe | 3a | 0.666667 | 0.333333 | 0.873872 | 2.20 | . | . |
10 | S | 3a | 0.666667 | 0.333333 | 0.085882 | -0.02 | . | . |
11 | S | 3a | 0.666667 | 0.333333 | 0.166468 | -0.01 | . | . |
12 | S | 3a | 0.666667 | 0.333333 | 0.247825 | -0.01 | . | . |
13 | S | 3a | 0.666667 | 0.333333 | 0.328307 | -0.01 | . | . |
14 | S | 3a | 0.333333 | 0.666667 | 0.419216 | -0.02 | . | . |
15 | S | 3a | 0.333333 | 0.666667 | 0.499801 | -0.01 | . | . |
16 | S | 3a | 0.333333 | 0.666667 | 0.581158 | -0.01 | . | . |
17 | S | 3a | 0.333333 | 0.666667 | 0.661641 | -0.01 | . | . |
18 | S | 3a | 0.000000 | 0.000000 | 0.752549 | -0.02 | . | . |
19 | S | 3a | 0.000000 | 0.000000 | 0.833135 | -0.01 | . | . |
20 | S | 3a | 0.000000 | 0.000000 | 0.914492 | -0.01 | . | . |
21 | S | 3a | 0.000000 | 0.000000 | 0.994974 | -0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Fe | 3a | 2 | Fe | 3a | 6.85 | . |
1 | Fe | 3a | 3 | Fe | 3a | 3.85 | . |
1 | Fe | 3a | 4 | Fe | 3a | 12.98 | . |
1 | Fe | 3a | 5 | Fe | 3a | 18.96 | . |
1 | Fe | 3a | 6 | Fe | 3a | 16.29 | . |
1 | Fe | 3a | 7 | Fe | 3a | 12.98 | . |
1 | Fe | 3a | 8 | Fe | 3a | 6.27 | . |
1 | Fe | 3a | 9 | Fe | 3a | 9.60 | . |
1 | Fe | 3a | 10 | S | 3a | 2.17 | . |
1 | Fe | 3a | 11 | S | 3a | 2.56 | . |
1 | Fe | 3a | 12 | S | 3a | 5.30 | . |
1 | Fe | 3a | 13 | S | 3a | 8.29 | . |
1 | Fe | 3a | 14 | S | 3a | 11.74 | . |
1 | Fe | 3a | 15 | S | 3a | 14.82 | . |
1 | Fe | 3a | 16 | S | 3a | 17.94 | . |
1 | Fe | 3a | 17 | S | 3a | 17.71 | . |
1 | Fe | 3a | 18 | S | 3a | 14.12 | . |
1 | Fe | 3a | 19 | S | 3a | 11.01 | . |
1 | Fe | 3a | 20 | S | 3a | 7.87 | . |
1 | Fe | 3a | 21 | S | 3a | 4.76 | . |
2 | Fe | 3a | 3 | Fe | 3a | 3.85 | . |
2 | Fe | 3a | 4 | Fe | 3a | 6.27 | . |
2 | Fe | 3a | 5 | Fe | 3a | 12.98 | . |
2 | Fe | 3a | 6 | Fe | 3a | 9.44 | . |
2 | Fe | 3a | 7 | Fe | 3a | 18.96 | . |
2 | Fe | 3a | 8 | Fe | 3a | 12.98 | . |
2 | Fe | 3a | 9 | Fe | 3a | 16.38 | . |
2 | Fe | 3a | 10 | S | 3a | 8.29 | . |
2 | Fe | 3a | 11 | S | 3a | 5.30 | . |
2 | Fe | 3a | 12 | S | 3a | 2.56 | . |
2 | Fe | 3a | 13 | S | 3a | 2.16 | . |
2 | Fe | 3a | 14 | S | 3a | 5.08 | . |
2 | Fe | 3a | 15 | S | 3a | 8.06 | . |
2 | Fe | 3a | 16 | S | 3a | 11.15 | . |
2 | Fe | 3a | 17 | S | 3a | 14.22 | . |
2 | Fe | 3a | 18 | S | 3a | 17.62 | . |
2 | Fe | 3a | 19 | S | 3a | 17.86 | . |
2 | Fe | 3a | 20 | S | 3a | 14.72 | . |
2 | Fe | 3a | 21 | S | 3a | 11.61 | . |
3 | Fe | 3a | 4 | Fe | 3a | 9.60 | . |
3 | Fe | 3a | 5 | Fe | 3a | 16.38 | . |
3 | Fe | 3a | 6 | Fe | 3a | 12.98 | . |
3 | Fe | 3a | 7 | Fe | 3a | 16.29 | . |
3 | Fe | 3a | 8 | Fe | 3a | 9.44 | . |
3 | Fe | 3a | 9 | Fe | 3a | 12.98 | . |
3 | Fe | 3a | 10 | S | 3a | 5.00 | . |
3 | Fe | 3a | 11 | S | 3a | 2.36 | . |
3 | Fe | 3a | 12 | S | 3a | 2.36 | . |
3 | Fe | 3a | 13 | S | 3a | 5.00 | . |
3 | Fe | 3a | 14 | S | 3a | 8.18 | . |
3 | Fe | 3a | 15 | S | 3a | 11.29 | . |
3 | Fe | 3a | 16 | S | 3a | 14.43 | . |
3 | Fe | 3a | 17 | S | 3a | 17.54 | . |
3 | Fe | 3a | 18 | S | 3a | 17.63 | . |
3 | Fe | 3a | 19 | S | 3a | 14.54 | . |
3 | Fe | 3a | 20 | S | 3a | 11.43 | . |
3 | Fe | 3a | 21 | S | 3a | 8.38 | . |
4 | Fe | 3a | 5 | Fe | 3a | 6.85 | . |
4 | Fe | 3a | 6 | Fe | 3a | 3.85 | . |
4 | Fe | 3a | 7 | Fe | 3a | 12.98 | . |
4 | Fe | 3a | 8 | Fe | 3a | 18.96 | . |
4 | Fe | 3a | 9 | Fe | 3a | 16.29 | . |
4 | Fe | 3a | 10 | S | 3a | 14.12 | . |
4 | Fe | 3a | 11 | S | 3a | 11.01 | . |
4 | Fe | 3a | 12 | S | 3a | 7.87 | . |
4 | Fe | 3a | 13 | S | 3a | 4.76 | . |
4 | Fe | 3a | 14 | S | 3a | 2.17 | . |
4 | Fe | 3a | 15 | S | 3a | 2.56 | . |
4 | Fe | 3a | 16 | S | 3a | 5.30 | . |
4 | Fe | 3a | 17 | S | 3a | 8.29 | . |
4 | Fe | 3a | 18 | S | 3a | 11.74 | . |
4 | Fe | 3a | 19 | S | 3a | 14.82 | . |
4 | Fe | 3a | 20 | S | 3a | 17.94 | . |
4 | Fe | 3a | 21 | S | 3a | 17.71 | . |
5 | Fe | 3a | 6 | Fe | 3a | 3.85 | . |
5 | Fe | 3a | 7 | Fe | 3a | 6.27 | . |
5 | Fe | 3a | 8 | Fe | 3a | 12.98 | . |
5 | Fe | 3a | 9 | Fe | 3a | 9.44 | . |
5 | Fe | 3a | 10 | S | 3a | 17.62 | . |
5 | Fe | 3a | 11 | S | 3a | 17.86 | . |
5 | Fe | 3a | 12 | S | 3a | 14.72 | . |
5 | Fe | 3a | 13 | S | 3a | 11.61 | . |
5 | Fe | 3a | 14 | S | 3a | 8.29 | . |
5 | Fe | 3a | 15 | S | 3a | 5.30 | . |
5 | Fe | 3a | 16 | S | 3a | 2.56 | . |
5 | Fe | 3a | 17 | S | 3a | 2.16 | . |
5 | Fe | 3a | 18 | S | 3a | 5.08 | . |
5 | Fe | 3a | 19 | S | 3a | 8.06 | . |
5 | Fe | 3a | 20 | S | 3a | 11.15 | . |
5 | Fe | 3a | 21 | S | 3a | 14.22 | . |
6 | Fe | 3a | 7 | Fe | 3a | 9.60 | . |
6 | Fe | 3a | 8 | Fe | 3a | 16.38 | . |
6 | Fe | 3a | 9 | Fe | 3a | 12.98 | . |
6 | Fe | 3a | 10 | S | 3a | 17.63 | . |
6 | Fe | 3a | 11 | S | 3a | 14.54 | . |
6 | Fe | 3a | 12 | S | 3a | 11.43 | . |
6 | Fe | 3a | 13 | S | 3a | 8.38 | . |
6 | Fe | 3a | 14 | S | 3a | 5.00 | . |
6 | Fe | 3a | 15 | S | 3a | 2.36 | . |
6 | Fe | 3a | 16 | S | 3a | 2.36 | . |
6 | Fe | 3a | 17 | S | 3a | 5.00 | . |
6 | Fe | 3a | 18 | S | 3a | 8.18 | . |
6 | Fe | 3a | 19 | S | 3a | 11.29 | . |
6 | Fe | 3a | 20 | S | 3a | 14.43 | . |
6 | Fe | 3a | 21 | S | 3a | 17.54 | . |
7 | Fe | 3a | 8 | Fe | 3a | 6.85 | . |
7 | Fe | 3a | 9 | Fe | 3a | 3.85 | . |
7 | Fe | 3a | 10 | S | 3a | 11.74 | . |
7 | Fe | 3a | 11 | S | 3a | 14.82 | . |
7 | Fe | 3a | 12 | S | 3a | 17.94 | . |
7 | Fe | 3a | 13 | S | 3a | 17.71 | . |
7 | Fe | 3a | 14 | S | 3a | 14.12 | . |
7 | Fe | 3a | 15 | S | 3a | 11.01 | . |
7 | Fe | 3a | 16 | S | 3a | 7.87 | . |
7 | Fe | 3a | 17 | S | 3a | 4.76 | . |
7 | Fe | 3a | 18 | S | 3a | 2.17 | . |
7 | Fe | 3a | 19 | S | 3a | 2.56 | . |
7 | Fe | 3a | 20 | S | 3a | 5.30 | . |
7 | Fe | 3a | 21 | S | 3a | 8.29 | . |
8 | Fe | 3a | 9 | Fe | 3a | 3.85 | . |
8 | Fe | 3a | 10 | S | 3a | 5.08 | . |
8 | Fe | 3a | 11 | S | 3a | 8.06 | . |
8 | Fe | 3a | 12 | S | 3a | 11.15 | . |
8 | Fe | 3a | 13 | S | 3a | 14.22 | . |
8 | Fe | 3a | 14 | S | 3a | 17.62 | . |
8 | Fe | 3a | 15 | S | 3a | 17.86 | . |
8 | Fe | 3a | 16 | S | 3a | 14.72 | . |
8 | Fe | 3a | 17 | S | 3a | 11.61 | . |
8 | Fe | 3a | 18 | S | 3a | 8.29 | . |
8 | Fe | 3a | 19 | S | 3a | 5.30 | . |
8 | Fe | 3a | 20 | S | 3a | 2.56 | . |
8 | Fe | 3a | 21 | S | 3a | 2.16 | . |
9 | Fe | 3a | 10 | S | 3a | 8.18 | . |
9 | Fe | 3a | 11 | S | 3a | 11.29 | . |
9 | Fe | 3a | 12 | S | 3a | 14.43 | . |
9 | Fe | 3a | 13 | S | 3a | 17.54 | . |
9 | Fe | 3a | 14 | S | 3a | 17.63 | . |
9 | Fe | 3a | 15 | S | 3a | 14.54 | . |
9 | Fe | 3a | 16 | S | 3a | 11.43 | . |
9 | Fe | 3a | 17 | S | 3a | 8.38 | . |
9 | Fe | 3a | 18 | S | 3a | 5.00 | . |
9 | Fe | 3a | 19 | S | 3a | 2.36 | . |
9 | Fe | 3a | 20 | S | 3a | 2.36 | . |
9 | Fe | 3a | 21 | S | 3a | 5.00 | . |
10 | S | 3a | 11 | S | 3a | 3.11 | . |
10 | S | 3a | 12 | S | 3a | 6.25 | . |
10 | S | 3a | 13 | S | 3a | 9.35 | . |
10 | S | 3a | 14 | S | 3a | 12.98 | . |
10 | S | 3a | 15 | S | 3a | 16.07 | . |
10 | S | 3a | 16 | S | 3a | 19.19 | . |
10 | S | 3a | 17 | S | 3a | 16.46 | . |
10 | S | 3a | 18 | S | 3a | 12.98 | . |
10 | S | 3a | 19 | S | 3a | 9.91 | . |
10 | S | 3a | 20 | S | 3a | 6.84 | . |
10 | S | 3a | 21 | S | 3a | 3.93 | . |
11 | S | 3a | 12 | S | 3a | 3.14 | . |
11 | S | 3a | 13 | S | 3a | 6.24 | . |
11 | S | 3a | 14 | S | 3a | 9.91 | . |
11 | S | 3a | 15 | S | 3a | 12.98 | . |
11 | S | 3a | 16 | S | 3a | 16.10 | . |
11 | S | 3a | 17 | S | 3a | 19.19 | . |
11 | S | 3a | 18 | S | 3a | 16.07 | . |
11 | S | 3a | 19 | S | 3a | 12.98 | . |
11 | S | 3a | 20 | S | 3a | 9.88 | . |
11 | S | 3a | 21 | S | 3a | 6.85 | . |
12 | S | 3a | 13 | S | 3a | 3.11 | . |
12 | S | 3a | 14 | S | 3a | 6.84 | . |
12 | S | 3a | 15 | S | 3a | 9.88 | . |
12 | S | 3a | 16 | S | 3a | 12.98 | . |
12 | S | 3a | 17 | S | 3a | 16.06 | . |
12 | S | 3a | 18 | S | 3a | 19.19 | . |
12 | S | 3a | 19 | S | 3a | 16.10 | . |
12 | S | 3a | 20 | S | 3a | 12.98 | . |
12 | S | 3a | 21 | S | 3a | 9.92 | . |
13 | S | 3a | 14 | S | 3a | 3.93 | . |
13 | S | 3a | 15 | S | 3a | 6.85 | . |
13 | S | 3a | 16 | S | 3a | 9.92 | . |
13 | S | 3a | 17 | S | 3a | 12.98 | . |
13 | S | 3a | 18 | S | 3a | 16.46 | . |
13 | S | 3a | 19 | S | 3a | 19.19 | . |
13 | S | 3a | 20 | S | 3a | 16.06 | . |
13 | S | 3a | 21 | S | 3a | 12.98 | . |
14 | S | 3a | 15 | S | 3a | 3.11 | . |
14 | S | 3a | 16 | S | 3a | 6.25 | . |
14 | S | 3a | 17 | S | 3a | 9.35 | . |
14 | S | 3a | 18 | S | 3a | 12.98 | . |
14 | S | 3a | 19 | S | 3a | 16.07 | . |
14 | S | 3a | 20 | S | 3a | 19.19 | . |
14 | S | 3a | 21 | S | 3a | 16.46 | . |
15 | S | 3a | 16 | S | 3a | 3.14 | . |
15 | S | 3a | 17 | S | 3a | 6.24 | . |
15 | S | 3a | 18 | S | 3a | 9.91 | . |
15 | S | 3a | 19 | S | 3a | 12.98 | . |
15 | S | 3a | 20 | S | 3a | 16.10 | . |
15 | S | 3a | 21 | S | 3a | 19.19 | . |
16 | S | 3a | 17 | S | 3a | 3.11 | . |
16 | S | 3a | 18 | S | 3a | 6.84 | . |
16 | S | 3a | 19 | S | 3a | 9.88 | . |
16 | S | 3a | 20 | S | 3a | 12.98 | . |
16 | S | 3a | 21 | S | 3a | 16.06 | . |
17 | S | 3a | 18 | S | 3a | 3.93 | . |
17 | S | 3a | 19 | S | 3a | 6.85 | . |
17 | S | 3a | 20 | S | 3a | 9.92 | . |
17 | S | 3a | 21 | S | 3a | 12.98 | . |
18 | S | 3a | 19 | S | 3a | 3.11 | . |
18 | S | 3a | 20 | S | 3a | 6.25 | . |
18 | S | 3a | 21 | S | 3a | 9.35 | . |
19 | S | 3a | 20 | S | 3a | 3.14 | . |
19 | S | 3a | 21 | S | 3a | 6.24 | . |
20 | S | 3a | 21 | S | 3a | 3.11 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-10188 |