Material:

Fe7Ge4

ID:

MMD-1107

Explore database:

Compounds with the same formula: Fe7Ge4 (2 entries found)
Compounds with the same elements: Fe-Ge (21 entries found)

Navigation:
Space group | Lattice parameters | Thermodynamic properties | Phase diagram | Magnetic properties | Atomic positions and site-specific magnetic data | Pair-wise magnetic data | Methods | References

Space group:

Crystal system

hexagonal

Space group number

194

Hermann-Mauguin

P6_3/mmc

Hall

-P 6c 2c

Point group

6/mmm

Structure data:

Normalized formula

Fe7Ge4

The number of formula units per unit cell

2

The total number of atoms per unit cell

22

The number of inequivalent sites per unit cell

5

Structure search

MP


Lattice parameters:

a (Å)

8.0630

b (Å)

8.0630

c (Å)

4.9675

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

120.000

Volume (Å3)

279.681

Density (g/cm3)

8.092

Crystal structure visualization:


Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

-72.1 meV/atom

Formation energy above hull

38.9 meV/atom

Phase diagram:

Phase diagram

Related structures:

Compounds with the same formula: Fe7Ge4

2 entries found

Compounds with the same elements: Fe-Ge

21 entries found


Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

26.54 μB/cell

Averaged magnetic moment

1.21 μB/atom

Magnetic polarization, Js = μ0Ms

1.11 T (= 883.3 emu/cm3)

LMTO-GF calculations (details)

Curie temperature, TC

DFT calculations (details)

Magnetic anisotropy constant, Ka-c

-0.31 MJ/m3 (= -0.53 meV/cell)

Magnetic easy axis

ab plane

Magnetic hardness parameter, κ

0.56


Atomic positions (fractional coordinates) and site-specific magnetic data:

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Fe 6h 0.159438 0.318875 0.250000 1.84 . .
2 Fe 6h 0.840562 0.681125 0.750000 1.84 . .
3 Fe 6h 0.681125 0.840562 0.250000 1.84 . .
4 Fe 6h 0.318875 0.159438 0.750000 1.84 . .
5 Fe 6h 0.159438 0.840562 0.250000 1.84 . .
6 Fe 6h 0.840562 0.159438 0.750000 1.84 . .
7 Fe 2a 0.000000 0.000000 0.000000 2.45 . .
8 Fe 2a 0.000000 0.000000 0.500000 2.45 . .
9 Fe 6g 0.500000 0.000000 0.000000 1.89 . .
10 Fe 6g -0.000000 0.500000 0.000000 1.89 . .
11 Fe 6g 0.500000 0.000000 0.500000 1.89 . .
12 Fe 6g 0.500000 0.500000 0.000000 1.89 . .
13 Fe 6g -0.000000 0.500000 0.500000 1.89 . .
14 Fe 6g 0.500000 0.500000 0.500000 1.89 . .
15 Ge 6h 0.810150 0.620299 0.250000 -0.07 . .
16 Ge 6h 0.189850 0.379701 0.750000 -0.07 . .
17 Ge 6h 0.379701 0.189850 0.250000 -0.07 . .
18 Ge 6h 0.620299 0.810150 0.750000 -0.07 . .
19 Ge 6h 0.810150 0.189850 0.250000 -0.07 . .
20 Ge 6h 0.189850 0.810150 0.750000 -0.07 . .
21 Ge 2c 0.333333 0.666667 0.250000 -0.06 . .
22 Ge 2c 0.666667 0.333333 0.750000 -0.06 . .
w: site multiplicity (the number of equivalent positions) and Wyckoff letter (a label for site symmetry)
m: local magnetic moment
Esoc100 (001): Spin-orbit coupling energy for the magnetization oriented along the crystallographic a (c) axis
(Individual Esoc values are temporarily not available while we perform maintenance.)

Site-resolved magnetic moments:

Local magnetic moments

Pair-wise magnetic data:

site i site j distance (Å) Jij (meV)
1 Fe 6h 2 Fe 6h 5.10 .
1 Fe 6h 3 Fe 6h 3.86 .
1 Fe 6h 4 Fe 6h 3.34 .
1 Fe 6h 5 Fe 6h 3.86 .
1 Fe 6h 6 Fe 6h 3.34 .
1 Fe 6h 7 Fe 2a 2.55 .
1 Fe 6h 8 Fe 2a 2.55 .
1 Fe 6h 9 Fe 6g 4.77 .
1 Fe 6h 10 Fe 6g 2.68 .
1 Fe 6h 11 Fe 6g 4.77 .
1 Fe 6h 12 Fe 6g 2.68 .
1 Fe 6h 13 Fe 6g 2.68 .
1 Fe 6h 14 Fe 6g 2.68 .
1 Fe 6h 15 Ge 6h 4.55 .
1 Fe 6h 16 Ge 6h 2.52 .
1 Fe 6h 17 Ge 6h 2.47 .
1 Fe 6h 18 Ge 6h 4.58 .
1 Fe 6h 19 Ge 6h 2.47 .
1 Fe 6h 20 Ge 6h 4.58 .
1 Fe 6h 21 Ge 2c 2.43 .
1 Fe 6h 22 Ge 2c 4.74 .
2 Fe 6h 3 Fe 6h 3.34 .
2 Fe 6h 4 Fe 6h 3.86 .
2 Fe 6h 5 Fe 6h 3.34 .
2 Fe 6h 6 Fe 6h 3.86 .
2 Fe 6h 7 Fe 2a 2.55 .
2 Fe 6h 8 Fe 2a 2.55 .
2 Fe 6h 9 Fe 6g 4.77 .
2 Fe 6h 10 Fe 6g 2.68 .
2 Fe 6h 11 Fe 6g 4.77 .
2 Fe 6h 12 Fe 6g 2.68 .
2 Fe 6h 13 Fe 6g 2.68 .
2 Fe 6h 14 Fe 6g 2.68 .
2 Fe 6h 15 Ge 6h 2.52 .
2 Fe 6h 16 Ge 6h 4.55 .
2 Fe 6h 17 Ge 6h 4.58 .
2 Fe 6h 18 Ge 6h 2.47 .
2 Fe 6h 19 Ge 6h 4.58 .
2 Fe 6h 20 Ge 6h 2.47 .
2 Fe 6h 21 Ge 2c 4.74 .
2 Fe 6h 22 Ge 2c 2.43 .
3 Fe 6h 4 Fe 6h 5.10 .
3 Fe 6h 5 Fe 6h 3.86 .
3 Fe 6h 6 Fe 6h 3.34 .
3 Fe 6h 7 Fe 2a 2.55 .
3 Fe 6h 8 Fe 2a 2.55 .
3 Fe 6h 9 Fe 6g 2.68 .
3 Fe 6h 10 Fe 6g 4.77 .
3 Fe 6h 11 Fe 6g 2.68 .
3 Fe 6h 12 Fe 6g 2.68 .
3 Fe 6h 13 Fe 6g 4.77 .
3 Fe 6h 14 Fe 6g 2.68 .
3 Fe 6h 15 Ge 6h 2.47 .
3 Fe 6h 16 Ge 6h 4.58 .
3 Fe 6h 17 Ge 6h 4.55 .
3 Fe 6h 18 Ge 6h 2.52 .
3 Fe 6h 19 Ge 6h 2.47 .
3 Fe 6h 20 Ge 6h 4.58 .
3 Fe 6h 21 Ge 2c 2.43 .
3 Fe 6h 22 Ge 2c 4.74 .
4 Fe 6h 5 Fe 6h 3.34 .
4 Fe 6h 6 Fe 6h 3.86 .
4 Fe 6h 7 Fe 2a 2.55 .
4 Fe 6h 8 Fe 2a 2.55 .
4 Fe 6h 9 Fe 6g 2.68 .
4 Fe 6h 10 Fe 6g 4.77 .
4 Fe 6h 11 Fe 6g 2.68 .
4 Fe 6h 12 Fe 6g 2.68 .
4 Fe 6h 13 Fe 6g 4.77 .
4 Fe 6h 14 Fe 6g 2.68 .
4 Fe 6h 15 Ge 6h 4.58 .
4 Fe 6h 16 Ge 6h 2.47 .
4 Fe 6h 17 Ge 6h 2.52 .
4 Fe 6h 18 Ge 6h 4.55 .
4 Fe 6h 19 Ge 6h 4.58 .
4 Fe 6h 20 Ge 6h 2.47 .
4 Fe 6h 21 Ge 2c 4.74 .
4 Fe 6h 22 Ge 2c 2.43 .
5 Fe 6h 6 Fe 6h 5.10 .
5 Fe 6h 7 Fe 2a 2.55 .
5 Fe 6h 8 Fe 2a 2.55 .
5 Fe 6h 9 Fe 6g 2.68 .
5 Fe 6h 10 Fe 6g 2.68 .
5 Fe 6h 11 Fe 6g 2.68 .
5 Fe 6h 12 Fe 6g 4.77 .
5 Fe 6h 13 Fe 6g 2.68 .
5 Fe 6h 14 Fe 6g 4.77 .
5 Fe 6h 15 Ge 6h 2.47 .
5 Fe 6h 16 Ge 6h 4.58 .
5 Fe 6h 17 Ge 6h 2.47 .
5 Fe 6h 18 Ge 6h 4.58 .
5 Fe 6h 19 Ge 6h 4.55 .
5 Fe 6h 20 Ge 6h 2.52 .
5 Fe 6h 21 Ge 2c 2.43 .
5 Fe 6h 22 Ge 2c 4.74 .
6 Fe 6h 7 Fe 2a 2.55 .
6 Fe 6h 8 Fe 2a 2.55 .
6 Fe 6h 9 Fe 6g 2.68 .
6 Fe 6h 10 Fe 6g 2.68 .
6 Fe 6h 11 Fe 6g 2.68 .
6 Fe 6h 12 Fe 6g 4.77 .
6 Fe 6h 13 Fe 6g 2.68 .
6 Fe 6h 14 Fe 6g 4.77 .
6 Fe 6h 15 Ge 6h 4.58 .
6 Fe 6h 16 Ge 6h 2.47 .
6 Fe 6h 17 Ge 6h 4.58 .
6 Fe 6h 18 Ge 6h 2.47 .
6 Fe 6h 19 Ge 6h 2.52 .
6 Fe 6h 20 Ge 6h 4.55 .
6 Fe 6h 21 Ge 2c 4.74 .
6 Fe 6h 22 Ge 2c 2.43 .
7 Fe 2a 8 Fe 2a 2.48 .
7 Fe 2a 9 Fe 6g 4.03 .
7 Fe 2a 10 Fe 6g 4.03 .
7 Fe 2a 11 Fe 6g 4.74 .
7 Fe 2a 12 Fe 6g 4.03 .
7 Fe 2a 13 Fe 6g 4.74 .
7 Fe 2a 14 Fe 6g 4.74 .
7 Fe 2a 15 Ge 6h 2.93 .
7 Fe 2a 16 Ge 6h 2.93 .
7 Fe 2a 17 Ge 6h 2.93 .
7 Fe 2a 18 Ge 6h 2.93 .
7 Fe 2a 19 Ge 6h 2.93 .
7 Fe 2a 20 Ge 6h 2.93 .
7 Fe 2a 21 Ge 2c 4.82 .
7 Fe 2a 22 Ge 2c 4.82 .
8 Fe 2a 9 Fe 6g 4.74 .
8 Fe 2a 10 Fe 6g 4.74 .
8 Fe 2a 11 Fe 6g 4.03 .
8 Fe 2a 12 Fe 6g 4.74 .
8 Fe 2a 13 Fe 6g 4.03 .
8 Fe 2a 14 Fe 6g 4.03 .
8 Fe 2a 15 Ge 6h 2.93 .
8 Fe 2a 16 Ge 6h 2.93 .
8 Fe 2a 17 Ge 6h 2.93 .
8 Fe 2a 18 Ge 6h 2.93 .
8 Fe 2a 19 Ge 6h 2.93 .
8 Fe 2a 20 Ge 6h 2.93 .
8 Fe 2a 21 Ge 2c 4.82 .
8 Fe 2a 22 Ge 2c 4.82 .
9 Fe 6g 10 Fe 6g 4.03 .
9 Fe 6g 11 Fe 6g 2.48 .
9 Fe 6g 12 Fe 6g 4.03 .
9 Fe 6g 13 Fe 6g 4.74 .
9 Fe 6g 14 Fe 6g 4.74 .
9 Fe 6g 15 Ge 6h 4.51 .
9 Fe 6g 16 Ge 6h 4.51 .
9 Fe 6g 17 Ge 6h 2.51 .
9 Fe 6g 18 Ge 6h 2.51 .
9 Fe 6g 19 Ge 6h 2.51 .
9 Fe 6g 20 Ge 6h 2.51 .
9 Fe 6g 21 Ge 2c 2.64 .
9 Fe 6g 22 Ge 2c 2.64 .
10 Fe 6g 11 Fe 6g 4.74 .
10 Fe 6g 12 Fe 6g 4.03 .
10 Fe 6g 13 Fe 6g 2.48 .
10 Fe 6g 14 Fe 6g 4.74 .
10 Fe 6g 15 Ge 6h 2.51 .
10 Fe 6g 16 Ge 6h 2.51 .
10 Fe 6g 17 Ge 6h 4.51 .
10 Fe 6g 18 Ge 6h 4.51 .
10 Fe 6g 19 Ge 6h 2.51 .
10 Fe 6g 20 Ge 6h 2.51 .
10 Fe 6g 21 Ge 2c 2.64 .
10 Fe 6g 22 Ge 2c 2.64 .
11 Fe 6g 12 Fe 6g 4.74 .
11 Fe 6g 13 Fe 6g 4.03 .
11 Fe 6g 14 Fe 6g 4.03 .
11 Fe 6g 15 Ge 6h 4.51 .
11 Fe 6g 16 Ge 6h 4.51 .
11 Fe 6g 17 Ge 6h 2.51 .
11 Fe 6g 18 Ge 6h 2.51 .
11 Fe 6g 19 Ge 6h 2.51 .
11 Fe 6g 20 Ge 6h 2.51 .
11 Fe 6g 21 Ge 2c 2.64 .
11 Fe 6g 22 Ge 2c 2.64 .
12 Fe 6g 13 Fe 6g 4.74 .
12 Fe 6g 14 Fe 6g 2.48 .
12 Fe 6g 15 Ge 6h 2.51 .
12 Fe 6g 16 Ge 6h 2.51 .
12 Fe 6g 17 Ge 6h 2.51 .
12 Fe 6g 18 Ge 6h 2.51 .
12 Fe 6g 19 Ge 6h 4.51 .
12 Fe 6g 20 Ge 6h 4.51 .
12 Fe 6g 21 Ge 2c 2.64 .
12 Fe 6g 22 Ge 2c 2.64 .
13 Fe 6g 14 Fe 6g 4.03 .
13 Fe 6g 15 Ge 6h 2.51 .
13 Fe 6g 16 Ge 6h 2.51 .
13 Fe 6g 17 Ge 6h 4.51 .
13 Fe 6g 18 Ge 6h 4.51 .
13 Fe 6g 19 Ge 6h 2.51 .
13 Fe 6g 20 Ge 6h 2.51 .
13 Fe 6g 21 Ge 2c 2.64 .
13 Fe 6g 22 Ge 2c 2.64 .
14 Fe 6g 15 Ge 6h 2.51 .
14 Fe 6g 16 Ge 6h 2.51 .
14 Fe 6g 17 Ge 6h 2.51 .
14 Fe 6g 18 Ge 6h 2.51 .
14 Fe 6g 19 Ge 6h 4.51 .
14 Fe 6g 20 Ge 6h 4.51 .
14 Fe 6g 21 Ge 2c 2.64 .
14 Fe 6g 22 Ge 2c 2.64 .
15 Ge 6h 16 Ge 6h 5.02 .
15 Ge 6h 17 Ge 6h 3.47 .
15 Ge 6h 18 Ge 6h 3.63 .
15 Ge 6h 19 Ge 6h 3.47 .
15 Ge 6h 20 Ge 6h 3.63 .
15 Ge 6h 21 Ge 2c 4.04 .
15 Ge 6h 22 Ge 2c 3.19 .
16 Ge 6h 17 Ge 6h 3.63 .
16 Ge 6h 18 Ge 6h 3.47 .
16 Ge 6h 19 Ge 6h 3.63 .
16 Ge 6h 20 Ge 6h 3.47 .
16 Ge 6h 21 Ge 2c 3.19 .
16 Ge 6h 22 Ge 2c 4.04 .
17 Ge 6h 18 Ge 6h 5.02 .
17 Ge 6h 19 Ge 6h 3.47 .
17 Ge 6h 20 Ge 6h 3.63 .
17 Ge 6h 21 Ge 2c 4.04 .
17 Ge 6h 22 Ge 2c 3.19 .
18 Ge 6h 19 Ge 6h 3.63 .
18 Ge 6h 20 Ge 6h 3.47 .
18 Ge 6h 21 Ge 2c 3.19 .
18 Ge 6h 22 Ge 2c 4.04 .
19 Ge 6h 20 Ge 6h 5.02 .
19 Ge 6h 21 Ge 2c 4.04 .
19 Ge 6h 22 Ge 2c 3.19 .
20 Ge 6h 21 Ge 2c 3.19 .
20 Ge 6h 22 Ge 2c 4.04 .
21 Ge 2c 22 Ge 2c 5.28 .
Jij: magnetic exchange parameter between site i and j (Individual Jij values are temporarily not available while we perform maintenance.)
Terms and conditions

Pair-resolved magnetic exchange parameters:

Exchange coupling parameters

Individual exchange parameters:

Exchange coupling parameters

Methods:

DFT calculations

  • exchange-correlation energy functional: GGA-PBE
  • pseudopotential type: PAW
  • cutoff energy: 65.0 Ry
  • k-point grid: (kx, ky, kz) = (8, 8, 12) for magnetic anisotropy calculations
  • package: QE (v6.3)

LMTO-GF calculations

  • k-point grid: (kx, ky, kz) =
  • energy mesh: 41 points on an elliptical contour
  • package: Questaal (v7)

References:

References

Materials Project: mp-1212970


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