Crystal system |
hexagonal |
Space group number |
174 |
Hermann-Mauguin |
P-6 |
Hall |
P -6 |
Point group |
-6 |
Normalized formula |
Cr12P7 |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
19 |
The number of inequivalent sites per unit cell |
7 |
Structure search |
MP |
a (Å) |
9.0182 |
b (Å) |
9.0182 |
c (Å) |
3.2151 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
226.443 |
Density (g/cm3) |
6.165 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-416.8 meV/atom |
Formation energy above hull |
30.9 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
3.86 μB/cell |
Averaged magnetic moment |
0.20 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.20 T (= 159.2 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 | 3j | 0.375903 | 0.507885 | 0.000000 | -0.11 | . | . |
2 | Cr | 3j | 0.131982 | 0.624097 | 0.000000 | -0.11 | . | . |
3 | Cr | 3j | 0.492115 | 0.868018 | 0.000000 | -0.11 | . | . |
4 | Cr | 3j | 0.015743 | 0.264460 | 0.000000 | -0.37 | . | . |
5 | Cr | 3j | 0.248717 | 0.984257 | 0.000000 | -0.37 | . | . |
6 | Cr | 3j | 0.735540 | 0.751283 | 0.000000 | -0.37 | . | . |
7 | Cr | 3k | 0.509330 | 0.140265 | 0.500000 | -0.30 | . | . |
8 | Cr | 3k | 0.630935 | 0.490670 | 0.500000 | -0.30 | . | . |
9 | Cr | 3k | 0.859735 | 0.369065 | 0.500000 | -0.30 | . | . |
10 | Cr | 3k | 0.793838 | 0.016581 | 0.500000 | 1.89 | . | . |
11 | Cr | 3k | 0.222743 | 0.206162 | 0.500000 | 1.89 | . | . |
12 | Cr | 3k | 0.983419 | 0.777257 | 0.500000 | 1.89 | . | . |
13 | P | 1a | 0.000000 | 0.000000 | 0.000000 | -0.03 | . | . |
14 | P | 3j | 0.448777 | 0.289016 | 0.000000 | -0.00 | . | . |
15 | P | 3j | 0.840239 | 0.551223 | 0.000000 | -0.00 | . | . |
16 | P | 3j | 0.710984 | 0.159761 | 0.000000 | -0.00 | . | . |
17 | P | 3k | 0.169095 | 0.457497 | 0.500000 | 0.01 | . | . |
18 | P | 3k | 0.288401 | 0.830905 | 0.500000 | 0.01 | . | . |
19 | P | 3k | 0.542503 | 0.711599 | 0.500000 | 0.01 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Cr | 3j | 2 | Cr | 3j | 2.87 | . |
1 | Cr | 3j | 3 | Cr | 3j | 2.87 | . |
1 | Cr | 3j | 4 | Cr | 3j | 2.87 | . |
1 | Cr | 3j | 5 | Cr | 3j | 4.27 | . |
1 | Cr | 3j | 6 | Cr | 3j | 2.87 | . |
1 | Cr | 3j | 7 | Cr | 3k | 4.36 | . |
1 | Cr | 3j | 8 | Cr | 3k | 2.87 | . |
1 | Cr | 3j | 9 | Cr | 3k | 4.47 | . |
1 | Cr | 3j | 10 | Cr | 3k | 4.53 | . |
1 | Cr | 3j | 11 | Cr | 3k | 2.85 | . |
1 | Cr | 3j | 12 | Cr | 3k | 5.02 | . |
1 | Cr | 3j | 13 | P | 1a | 4.12 | . |
1 | Cr | 3j | 14 | P | 3j | 2.37 | . |
1 | Cr | 3j | 15 | P | 3j | 4.01 | . |
1 | Cr | 3j | 16 | P | 3j | 5.09 | . |
1 | Cr | 3j | 17 | P | 3k | 2.33 | . |
1 | Cr | 3j | 18 | P | 3k | 3.74 | . |
1 | Cr | 3j | 19 | P | 3k | 2.34 | . |
2 | Cr | 3j | 3 | Cr | 3j | 2.87 | . |
2 | Cr | 3j | 4 | Cr | 3j | 2.87 | . |
2 | Cr | 3j | 5 | Cr | 3j | 2.87 | . |
2 | Cr | 3j | 6 | Cr | 3j | 4.27 | . |
2 | Cr | 3j | 7 | Cr | 3k | 4.47 | . |
2 | Cr | 3j | 8 | Cr | 3k | 4.36 | . |
2 | Cr | 3j | 9 | Cr | 3k | 2.87 | . |
2 | Cr | 3j | 10 | Cr | 3k | 5.02 | . |
2 | Cr | 3j | 11 | Cr | 3k | 4.53 | . |
2 | Cr | 3j | 12 | Cr | 3k | 2.85 | . |
2 | Cr | 3j | 13 | P | 1a | 4.12 | . |
2 | Cr | 3j | 14 | P | 3j | 5.09 | . |
2 | Cr | 3j | 15 | P | 3j | 2.37 | . |
2 | Cr | 3j | 16 | P | 3j | 4.01 | . |
2 | Cr | 3j | 17 | P | 3k | 2.34 | . |
2 | Cr | 3j | 18 | P | 3k | 2.33 | . |
2 | Cr | 3j | 19 | P | 3k | 3.74 | . |
3 | Cr | 3j | 4 | Cr | 3j | 4.27 | . |
3 | Cr | 3j | 5 | Cr | 3j | 2.87 | . |
3 | Cr | 3j | 6 | Cr | 3j | 2.87 | . |
3 | Cr | 3j | 7 | Cr | 3k | 2.87 | . |
3 | Cr | 3j | 8 | Cr | 3k | 4.47 | . |
3 | Cr | 3j | 9 | Cr | 3k | 4.36 | . |
3 | Cr | 3j | 10 | Cr | 3k | 2.85 | . |
3 | Cr | 3j | 11 | Cr | 3k | 5.02 | . |
3 | Cr | 3j | 12 | Cr | 3k | 4.53 | . |
3 | Cr | 3j | 13 | P | 1a | 4.12 | . |
3 | Cr | 3j | 14 | P | 3j | 4.01 | . |
3 | Cr | 3j | 15 | P | 3j | 5.09 | . |
3 | Cr | 3j | 16 | P | 3j | 2.37 | . |
3 | Cr | 3j | 17 | P | 3k | 3.74 | . |
3 | Cr | 3j | 18 | P | 3k | 2.34 | . |
3 | Cr | 3j | 19 | P | 3k | 2.33 | . |
4 | Cr | 3j | 5 | Cr | 3j | 4.01 | . |
4 | Cr | 3j | 6 | Cr | 3j | 4.01 | . |
4 | Cr | 3j | 7 | Cr | 3k | 4.42 | . |
4 | Cr | 3j | 8 | Cr | 3k | 5.09 | . |
4 | Cr | 3j | 9 | Cr | 3k | 2.60 | . |
4 | Cr | 3j | 10 | Cr | 3k | 2.67 | . |
4 | Cr | 3j | 11 | Cr | 3k | 2.71 | . |
4 | Cr | 3j | 12 | Cr | 3k | 4.55 | . |
4 | Cr | 3j | 13 | P | 1a | 2.32 | . |
4 | Cr | 3j | 14 | P | 3j | 3.80 | . |
4 | Cr | 3j | 15 | P | 3j | 3.64 | . |
4 | Cr | 3j | 16 | P | 3j | 2.42 | . |
4 | Cr | 3j | 17 | P | 3k | 2.26 | . |
4 | Cr | 3j | 18 | P | 3k | 4.71 | . |
4 | Cr | 3j | 19 | P | 3k | 4.72 | . |
5 | Cr | 3j | 6 | Cr | 3j | 4.01 | . |
5 | Cr | 3j | 7 | Cr | 3k | 2.60 | . |
5 | Cr | 3j | 8 | Cr | 3k | 4.42 | . |
5 | Cr | 3j | 9 | Cr | 3k | 5.09 | . |
5 | Cr | 3j | 10 | Cr | 3k | 4.55 | . |
5 | Cr | 3j | 11 | Cr | 3k | 2.67 | . |
5 | Cr | 3j | 12 | Cr | 3k | 2.71 | . |
5 | Cr | 3j | 13 | P | 1a | 2.32 | . |
5 | Cr | 3j | 14 | P | 3j | 2.42 | . |
5 | Cr | 3j | 15 | P | 3j | 3.80 | . |
5 | Cr | 3j | 16 | P | 3j | 3.64 | . |
5 | Cr | 3j | 17 | P | 3k | 4.72 | . |
5 | Cr | 3j | 18 | P | 3k | 2.26 | . |
5 | Cr | 3j | 19 | P | 3k | 4.71 | . |
6 | Cr | 3j | 7 | Cr | 3k | 5.09 | . |
6 | Cr | 3j | 8 | Cr | 3k | 2.60 | . |
6 | Cr | 3j | 9 | Cr | 3k | 4.42 | . |
6 | Cr | 3j | 10 | Cr | 3k | 2.71 | . |
6 | Cr | 3j | 11 | Cr | 3k | 4.55 | . |
6 | Cr | 3j | 12 | Cr | 3k | 2.67 | . |
6 | Cr | 3j | 13 | P | 1a | 2.32 | . |
6 | Cr | 3j | 14 | P | 3j | 3.64 | . |
6 | Cr | 3j | 15 | P | 3j | 2.42 | . |
6 | Cr | 3j | 16 | P | 3j | 3.80 | . |
6 | Cr | 3j | 17 | P | 3k | 4.71 | . |
6 | Cr | 3j | 18 | P | 3k | 4.72 | . |
6 | Cr | 3j | 19 | P | 3k | 2.26 | . |
7 | Cr | 3k | 8 | Cr | 3k | 2.78 | . |
7 | Cr | 3k | 9 | Cr | 3k | 2.78 | . |
7 | Cr | 3k | 10 | Cr | 3k | 3.27 | . |
7 | Cr | 3k | 11 | Cr | 3k | 2.93 | . |
7 | Cr | 3k | 12 | Cr | 3k | 4.21 | . |
7 | Cr | 3k | 13 | P | 1a | 4.41 | . |
7 | Cr | 3k | 14 | P | 3j | 2.33 | . |
7 | Cr | 3k | 15 | P | 3j | 3.76 | . |
7 | Cr | 3k | 16 | P | 3j | 2.37 | . |
7 | Cr | 3k | 17 | P | 3k | 5.14 | . |
7 | Cr | 3k | 18 | P | 3k | 2.49 | . |
7 | Cr | 3k | 19 | P | 3k | 4.02 | . |
8 | Cr | 3k | 9 | Cr | 3k | 2.78 | . |
8 | Cr | 3k | 10 | Cr | 3k | 4.21 | . |
8 | Cr | 3k | 11 | Cr | 3k | 3.27 | . |
8 | Cr | 3k | 12 | Cr | 3k | 2.93 | . |
8 | Cr | 3k | 13 | P | 1a | 4.41 | . |
8 | Cr | 3k | 14 | P | 3j | 2.37 | . |
8 | Cr | 3k | 15 | P | 3j | 2.33 | . |
8 | Cr | 3k | 16 | P | 3j | 3.76 | . |
8 | Cr | 3k | 17 | P | 3k | 4.02 | . |
8 | Cr | 3k | 18 | P | 3k | 5.14 | . |
8 | Cr | 3k | 19 | P | 3k | 2.49 | . |
9 | Cr | 3k | 10 | Cr | 3k | 2.93 | . |
9 | Cr | 3k | 11 | Cr | 3k | 4.21 | . |
9 | Cr | 3k | 12 | Cr | 3k | 3.27 | . |
9 | Cr | 3k | 13 | P | 1a | 4.41 | . |
9 | Cr | 3k | 14 | P | 3j | 3.76 | . |
9 | Cr | 3k | 15 | P | 3j | 2.37 | . |
9 | Cr | 3k | 16 | P | 3j | 2.33 | . |
9 | Cr | 3k | 17 | P | 3k | 2.49 | . |
9 | Cr | 3k | 18 | P | 3k | 4.02 | . |
9 | Cr | 3k | 19 | P | 3k | 5.14 | . |
10 | Cr | 3k | 11 | Cr | 3k | 3.36 | . |
10 | Cr | 3k | 12 | Cr | 3k | 3.36 | . |
10 | Cr | 3k | 13 | P | 1a | 2.52 | . |
10 | Cr | 3k | 14 | P | 3j | 5.09 | . |
10 | Cr | 3k | 15 | P | 3j | 4.70 | . |
10 | Cr | 3k | 16 | P | 3j | 2.40 | . |
10 | Cr | 3k | 17 | P | 3k | 3.72 | . |
10 | Cr | 3k | 18 | P | 3k | 3.99 | . |
10 | Cr | 3k | 19 | P | 3k | 2.54 | . |
11 | Cr | 3k | 12 | Cr | 3k | 3.36 | . |
11 | Cr | 3k | 13 | P | 1a | 2.52 | . |
11 | Cr | 3k | 14 | P | 3j | 2.40 | . |
11 | Cr | 3k | 15 | P | 3j | 5.09 | . |
11 | Cr | 3k | 16 | P | 3j | 4.70 | . |
11 | Cr | 3k | 17 | P | 3k | 2.54 | . |
11 | Cr | 3k | 18 | P | 3k | 3.72 | . |
11 | Cr | 3k | 19 | P | 3k | 3.99 | . |
12 | Cr | 3k | 13 | P | 1a | 2.52 | . |
12 | Cr | 3k | 14 | P | 3j | 4.70 | . |
12 | Cr | 3k | 15 | P | 3j | 2.40 | . |
12 | Cr | 3k | 16 | P | 3j | 5.09 | . |
12 | Cr | 3k | 17 | P | 3k | 3.99 | . |
12 | Cr | 3k | 18 | P | 3k | 2.54 | . |
12 | Cr | 3k | 19 | P | 3k | 3.72 | . |
13 | P | 1a | 14 | P | 3j | 3.55 | . |
13 | P | 1a | 15 | P | 3j | 3.55 | . |
13 | P | 1a | 16 | P | 3j | 3.55 | . |
13 | P | 1a | 17 | P | 3k | 3.95 | . |
13 | P | 1a | 18 | P | 3k | 3.95 | . |
13 | P | 1a | 19 | P | 3k | 3.95 | . |
14 | P | 3j | 15 | P | 3j | 3.12 | . |
14 | P | 3j | 16 | P | 3j | 3.12 | . |
14 | P | 3j | 17 | P | 3k | 3.88 | . |
14 | P | 3j | 18 | P | 3k | 3.97 | . |
14 | P | 3j | 19 | P | 3k | 3.82 | . |
15 | P | 3j | 16 | P | 3j | 3.12 | . |
15 | P | 3j | 17 | P | 3k | 3.82 | . |
15 | P | 3j | 18 | P | 3k | 3.88 | . |
15 | P | 3j | 19 | P | 3k | 3.97 | . |
16 | P | 3j | 17 | P | 3k | 3.97 | . |
16 | P | 3j | 18 | P | 3k | 3.82 | . |
16 | P | 3j | 19 | P | 3k | 3.88 | . |
17 | P | 3k | 18 | P | 3k | 2.98 | . |
17 | P | 3k | 19 | P | 3k | 2.98 | . |
18 | P | 3k | 19 | P | 3k | 2.98 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-505626 |