Crystal system |
trigonal |
Space group number |
163 |
Hermann-Mauguin |
P-31c |
Hall |
-P 3 2c |
Point group |
-3m |
Normalized formula |
Cr2S3 |
The number of formula units per unit cell |
4 |
The total number of atoms per unit cell |
20 |
The number of inequivalent sites per unit cell |
4 |
Structure search |
MP |
a (Å) |
6.0259 |
b (Å) |
6.0259 |
c (Å) |
11.2650 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
354.245 |
Density (g/cm3) |
3.754 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-713.9 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Cr2S3 |
4 entries found |
Compounds with the same elements: Cr-S |
16 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
24.00 μB/cell |
Averaged magnetic moment |
1.20 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.79 T (= 628.7 emu/cm3) |
LMTO-GF calculations (details) | |
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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 | 4f | 0.666667 | 0.333333 | 0.482514 | 2.68 | . | . |
2 | Cr | 4f | 0.666667 | 0.333333 | 0.017486 | 2.68 | . | . |
3 | Cr | 4f | 0.333333 | 0.666667 | 0.517486 | 2.68 | . | . |
4 | Cr | 4f | 0.333333 | 0.666667 | 0.982514 | 2.68 | . | . |
5 | Cr | 2b | 0.000000 | 0.000000 | 0.500000 | 2.67 | . | . |
6 | Cr | 2b | 0.000000 | 0.000000 | 0.000000 | 2.67 | . | . |
7 | Cr | 2c | 0.666667 | 0.333333 | 0.750000 | 2.75 | . | . |
8 | Cr | 2c | 0.333333 | 0.666667 | 0.250000 | 2.75 | . | . |
9 | S | 12i | 0.675436 | 0.653785 | 0.883495 | -0.06 | . | . |
10 | S | 12i | 0.346215 | 0.021652 | 0.883495 | -0.06 | . | . |
11 | S | 12i | 0.978348 | 0.324564 | 0.883495 | -0.06 | . | . |
12 | S | 12i | 0.346215 | 0.324564 | 0.616505 | -0.06 | . | . |
13 | S | 12i | 0.978348 | 0.653785 | 0.616505 | -0.06 | . | . |
14 | S | 12i | 0.675436 | 0.021652 | 0.616505 | -0.06 | . | . |
15 | S | 12i | 0.324564 | 0.346215 | 0.116505 | -0.06 | . | . |
16 | S | 12i | 0.653785 | 0.978348 | 0.116505 | -0.06 | . | . |
17 | S | 12i | 0.324564 | 0.978348 | 0.383495 | -0.06 | . | . |
18 | S | 12i | 0.021652 | 0.346215 | 0.383495 | -0.06 | . | . |
19 | S | 12i | 0.653785 | 0.675436 | 0.383495 | -0.06 | . | . |
20 | S | 12i | 0.021652 | 0.675436 | 0.116505 | -0.06 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 4f | 2 | Cr | 4f | 5.24 | . |
1 | Cr | 4f | 3 | Cr | 4f | 3.50 | . |
1 | Cr | 4f | 4 | Cr | 4f | 6.62 | . |
1 | Cr | 4f | 5 | Cr | 2b | 3.48 | . |
1 | Cr | 4f | 6 | Cr | 2b | 6.45 | . |
1 | Cr | 4f | 7 | Cr | 2c | 3.01 | . |
1 | Cr | 4f | 8 | Cr | 2c | 4.35 | . |
1 | Cr | 4f | 9 | S | 12i | 4.90 | . |
1 | Cr | 4f | 10 | S | 12i | 4.90 | . |
1 | Cr | 4f | 11 | S | 12i | 4.90 | . |
1 | Cr | 4f | 12 | S | 12i | 2.43 | . |
1 | Cr | 4f | 13 | S | 12i | 2.43 | . |
1 | Cr | 4f | 14 | S | 12i | 2.43 | . |
1 | Cr | 4f | 15 | S | 12i | 4.63 | . |
1 | Cr | 4f | 16 | S | 12i | 4.63 | . |
1 | Cr | 4f | 17 | S | 12i | 2.38 | . |
1 | Cr | 4f | 18 | S | 12i | 2.38 | . |
1 | Cr | 4f | 19 | S | 12i | 2.38 | . |
1 | Cr | 4f | 20 | S | 12i | 4.63 | . |
2 | Cr | 4f | 3 | Cr | 4f | 6.62 | . |
2 | Cr | 4f | 4 | Cr | 4f | 3.50 | . |
2 | Cr | 4f | 5 | Cr | 2b | 6.45 | . |
2 | Cr | 4f | 6 | Cr | 2b | 3.48 | . |
2 | Cr | 4f | 7 | Cr | 2c | 3.01 | . |
2 | Cr | 4f | 8 | Cr | 2c | 4.35 | . |
2 | Cr | 4f | 9 | S | 12i | 2.43 | . |
2 | Cr | 4f | 10 | S | 12i | 2.43 | . |
2 | Cr | 4f | 11 | S | 12i | 2.43 | . |
2 | Cr | 4f | 12 | S | 12i | 4.90 | . |
2 | Cr | 4f | 13 | S | 12i | 4.90 | . |
2 | Cr | 4f | 14 | S | 12i | 4.90 | . |
2 | Cr | 4f | 15 | S | 12i | 2.38 | . |
2 | Cr | 4f | 16 | S | 12i | 2.38 | . |
2 | Cr | 4f | 17 | S | 12i | 4.63 | . |
2 | Cr | 4f | 18 | S | 12i | 4.63 | . |
2 | Cr | 4f | 19 | S | 12i | 4.63 | . |
2 | Cr | 4f | 20 | S | 12i | 2.38 | . |
3 | Cr | 4f | 4 | Cr | 4f | 5.24 | . |
3 | Cr | 4f | 5 | Cr | 2b | 3.48 | . |
3 | Cr | 4f | 6 | Cr | 2b | 6.45 | . |
3 | Cr | 4f | 7 | Cr | 2c | 4.35 | . |
3 | Cr | 4f | 8 | Cr | 2c | 3.01 | . |
3 | Cr | 4f | 9 | S | 12i | 4.63 | . |
3 | Cr | 4f | 10 | S | 12i | 4.63 | . |
3 | Cr | 4f | 11 | S | 12i | 4.63 | . |
3 | Cr | 4f | 12 | S | 12i | 2.38 | . |
3 | Cr | 4f | 13 | S | 12i | 2.38 | . |
3 | Cr | 4f | 14 | S | 12i | 2.38 | . |
3 | Cr | 4f | 15 | S | 12i | 4.90 | . |
3 | Cr | 4f | 16 | S | 12i | 4.90 | . |
3 | Cr | 4f | 17 | S | 12i | 2.43 | . |
3 | Cr | 4f | 18 | S | 12i | 2.43 | . |
3 | Cr | 4f | 19 | S | 12i | 2.43 | . |
3 | Cr | 4f | 20 | S | 12i | 4.90 | . |
4 | Cr | 4f | 5 | Cr | 2b | 6.45 | . |
4 | Cr | 4f | 6 | Cr | 2b | 3.48 | . |
4 | Cr | 4f | 7 | Cr | 2c | 4.35 | . |
4 | Cr | 4f | 8 | Cr | 2c | 3.01 | . |
4 | Cr | 4f | 9 | S | 12i | 2.38 | . |
4 | Cr | 4f | 10 | S | 12i | 2.38 | . |
4 | Cr | 4f | 11 | S | 12i | 2.38 | . |
4 | Cr | 4f | 12 | S | 12i | 4.63 | . |
4 | Cr | 4f | 13 | S | 12i | 4.63 | . |
4 | Cr | 4f | 14 | S | 12i | 4.63 | . |
4 | Cr | 4f | 15 | S | 12i | 2.43 | . |
4 | Cr | 4f | 16 | S | 12i | 2.43 | . |
4 | Cr | 4f | 17 | S | 12i | 4.90 | . |
4 | Cr | 4f | 18 | S | 12i | 4.90 | . |
4 | Cr | 4f | 19 | S | 12i | 4.90 | . |
4 | Cr | 4f | 20 | S | 12i | 2.43 | . |
5 | Cr | 2b | 6 | Cr | 2b | 5.63 | . |
5 | Cr | 2b | 7 | Cr | 2c | 4.48 | . |
5 | Cr | 2b | 8 | Cr | 2c | 4.48 | . |
5 | Cr | 2b | 9 | S | 12i | 4.77 | . |
5 | Cr | 2b | 10 | S | 12i | 4.77 | . |
5 | Cr | 2b | 11 | S | 12i | 4.77 | . |
5 | Cr | 2b | 12 | S | 12i | 2.41 | . |
5 | Cr | 2b | 13 | S | 12i | 2.41 | . |
5 | Cr | 2b | 14 | S | 12i | 2.41 | . |
5 | Cr | 2b | 15 | S | 12i | 4.77 | . |
5 | Cr | 2b | 16 | S | 12i | 4.77 | . |
5 | Cr | 2b | 17 | S | 12i | 2.41 | . |
5 | Cr | 2b | 18 | S | 12i | 2.41 | . |
5 | Cr | 2b | 19 | S | 12i | 2.41 | . |
5 | Cr | 2b | 20 | S | 12i | 4.77 | . |
6 | Cr | 2b | 7 | Cr | 2c | 4.48 | . |
6 | Cr | 2b | 8 | Cr | 2c | 4.48 | . |
6 | Cr | 2b | 9 | S | 12i | 2.41 | . |
6 | Cr | 2b | 10 | S | 12i | 2.41 | . |
6 | Cr | 2b | 11 | S | 12i | 2.41 | . |
6 | Cr | 2b | 12 | S | 12i | 4.77 | . |
6 | Cr | 2b | 13 | S | 12i | 4.77 | . |
6 | Cr | 2b | 14 | S | 12i | 4.77 | . |
6 | Cr | 2b | 15 | S | 12i | 2.41 | . |
6 | Cr | 2b | 16 | S | 12i | 2.41 | . |
6 | Cr | 2b | 17 | S | 12i | 4.77 | . |
6 | Cr | 2b | 18 | S | 12i | 4.77 | . |
6 | Cr | 2b | 19 | S | 12i | 4.77 | . |
6 | Cr | 2b | 20 | S | 12i | 2.41 | . |
7 | Cr | 2c | 8 | Cr | 2c | 6.62 | . |
7 | Cr | 2c | 9 | S | 12i | 2.43 | . |
7 | Cr | 2c | 10 | S | 12i | 2.43 | . |
7 | Cr | 2c | 11 | S | 12i | 2.43 | . |
7 | Cr | 2c | 12 | S | 12i | 2.43 | . |
7 | Cr | 2c | 13 | S | 12i | 2.43 | . |
7 | Cr | 2c | 14 | S | 12i | 2.43 | . |
7 | Cr | 2c | 15 | S | 12i | 4.63 | . |
7 | Cr | 2c | 16 | S | 12i | 4.63 | . |
7 | Cr | 2c | 17 | S | 12i | 4.63 | . |
7 | Cr | 2c | 18 | S | 12i | 4.63 | . |
7 | Cr | 2c | 19 | S | 12i | 4.63 | . |
7 | Cr | 2c | 20 | S | 12i | 4.63 | . |
8 | Cr | 2c | 9 | S | 12i | 4.63 | . |
8 | Cr | 2c | 10 | S | 12i | 4.63 | . |
8 | Cr | 2c | 11 | S | 12i | 4.63 | . |
8 | Cr | 2c | 12 | S | 12i | 4.63 | . |
8 | Cr | 2c | 13 | S | 12i | 4.63 | . |
8 | Cr | 2c | 14 | S | 12i | 4.63 | . |
8 | Cr | 2c | 15 | S | 12i | 2.43 | . |
8 | Cr | 2c | 16 | S | 12i | 2.43 | . |
8 | Cr | 2c | 17 | S | 12i | 2.43 | . |
8 | Cr | 2c | 18 | S | 12i | 2.43 | . |
8 | Cr | 2c | 19 | S | 12i | 2.43 | . |
8 | Cr | 2c | 20 | S | 12i | 2.43 | . |
9 | S | 12i | 10 | S | 12i | 3.30 | . |
9 | S | 12i | 11 | S | 12i | 3.30 | . |
9 | S | 12i | 12 | S | 12i | 3.60 | . |
9 | S | 12i | 13 | S | 12i | 3.52 | . |
9 | S | 12i | 14 | S | 12i | 3.74 | . |
9 | S | 12i | 15 | S | 12i | 3.30 | . |
9 | S | 12i | 16 | S | 12i | 3.31 | . |
9 | S | 12i | 17 | S | 12i | 6.57 | . |
9 | S | 12i | 18 | S | 12i | 6.59 | . |
9 | S | 12i | 19 | S | 12i | 5.64 | . |
9 | S | 12i | 20 | S | 12i | 3.31 | . |
10 | S | 12i | 11 | S | 12i | 3.30 | . |
10 | S | 12i | 12 | S | 12i | 3.52 | . |
10 | S | 12i | 13 | S | 12i | 3.74 | . |
10 | S | 12i | 14 | S | 12i | 3.60 | . |
10 | S | 12i | 15 | S | 12i | 3.31 | . |
10 | S | 12i | 16 | S | 12i | 3.30 | . |
10 | S | 12i | 17 | S | 12i | 5.64 | . |
10 | S | 12i | 18 | S | 12i | 6.57 | . |
10 | S | 12i | 19 | S | 12i | 6.59 | . |
10 | S | 12i | 20 | S | 12i | 3.31 | . |
11 | S | 12i | 12 | S | 12i | 3.74 | . |
11 | S | 12i | 13 | S | 12i | 3.60 | . |
11 | S | 12i | 14 | S | 12i | 3.52 | . |
11 | S | 12i | 15 | S | 12i | 3.31 | . |
11 | S | 12i | 16 | S | 12i | 3.31 | . |
11 | S | 12i | 17 | S | 12i | 6.59 | . |
11 | S | 12i | 18 | S | 12i | 5.64 | . |
11 | S | 12i | 19 | S | 12i | 6.57 | . |
11 | S | 12i | 20 | S | 12i | 3.30 | . |
12 | S | 12i | 13 | S | 12i | 3.30 | . |
12 | S | 12i | 14 | S | 12i | 3.30 | . |
12 | S | 12i | 15 | S | 12i | 5.64 | . |
12 | S | 12i | 16 | S | 12i | 6.59 | . |
12 | S | 12i | 17 | S | 12i | 3.31 | . |
12 | S | 12i | 18 | S | 12i | 3.31 | . |
12 | S | 12i | 19 | S | 12i | 3.30 | . |
12 | S | 12i | 20 | S | 12i | 6.57 | . |
13 | S | 12i | 14 | S | 12i | 3.30 | . |
13 | S | 12i | 15 | S | 12i | 6.59 | . |
13 | S | 12i | 16 | S | 12i | 6.57 | . |
13 | S | 12i | 17 | S | 12i | 3.31 | . |
13 | S | 12i | 18 | S | 12i | 3.30 | . |
13 | S | 12i | 19 | S | 12i | 3.31 | . |
13 | S | 12i | 20 | S | 12i | 5.64 | . |
14 | S | 12i | 15 | S | 12i | 6.57 | . |
14 | S | 12i | 16 | S | 12i | 5.64 | . |
14 | S | 12i | 17 | S | 12i | 3.30 | . |
14 | S | 12i | 18 | S | 12i | 3.31 | . |
14 | S | 12i | 19 | S | 12i | 3.31 | . |
14 | S | 12i | 20 | S | 12i | 6.59 | . |
15 | S | 12i | 16 | S | 12i | 3.30 | . |
15 | S | 12i | 17 | S | 12i | 3.74 | . |
15 | S | 12i | 18 | S | 12i | 3.52 | . |
15 | S | 12i | 19 | S | 12i | 3.60 | . |
15 | S | 12i | 20 | S | 12i | 3.30 | . |
16 | S | 12i | 17 | S | 12i | 3.60 | . |
16 | S | 12i | 18 | S | 12i | 3.74 | . |
16 | S | 12i | 19 | S | 12i | 3.52 | . |
16 | S | 12i | 20 | S | 12i | 3.30 | . |
17 | S | 12i | 18 | S | 12i | 3.30 | . |
17 | S | 12i | 19 | S | 12i | 3.30 | . |
17 | S | 12i | 20 | S | 12i | 3.52 | . |
18 | S | 12i | 19 | S | 12i | 3.30 | . |
18 | S | 12i | 20 | S | 12i | 3.60 | . |
19 | S | 12i | 20 | S | 12i | 3.74 | . |
DFT calculations |
|
LMTO-GF calculations |
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References |
Materials Project: mp-13685 |