Material:

Co4Ge

ID:

MMD-1358

Explore database:

Compounds with the same formula: Co4Ge (8 entries found)
Compounds with the same elements: Co-Ge (27 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

tetragonal

Space group number

123

Hermann-Mauguin

P4/mmm

Hall

-P 4 2

Point group

4/mmm

Structure data:

Normalized formula

Co4Ge

The number of formula units per unit cell

1

The total number of atoms per unit cell

5

The number of inequivalent sites per unit cell

3

Structure search

MP

Lattice parameters:

a (Å)

2.4286

b (Å)

2.4286

c (Å)

11.7968

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

90.000

Volume (Å3)

69.580

Density (g/cm3)

7.359

Crystal structure visualization:

Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

770.2 meV/atom

Formation energy above hull

850.7 meV/atom

Phase diagram:

Phase diagram

Related structures:

Compounds with the same formula: Co4Ge

8 entries found

Compounds with the same elements: Co-Ge

27 entries found

Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

7.26 μB/cell

Averaged magnetic moment

1.45 μB/atom

Magnetic polarization, Js = μ0Ms

1.22 T (= 970.8 emu/cm3)
LMTO-GF calculations (details)

Curie temperature, TC

DFT calculations (details)

Magnetic anisotropy constant, Ka-c

0.02 MJ/m3 (= 0.01 meV/cell)

Magnetic easy axis

c

Magnetic hardness parameter, κ

0.14

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

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Co 2g 0.000000 0.000000 0.209497 1.76 . .
2 Co 2g 0.000000 0.000000 0.402088 1.90 . .
3 Co 2g 0.000000 0.000000 0.597912 1.90 . .
4 Co 2g 0.000000 0.000000 0.790503 1.76 . .
5 Ge 1a 0.000000 0.000000 0.000000 0.00 . .
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.)
Terms and conditions

Site-resolved magnetic moments:

Local magnetic moments

Pair-wise magnetic data:

site i site j distance (Å) Jij (meV)
1 Co 2g 2 Co 2g 2.27 .
1 Co 2g 3 Co 2g 4.58 .
1 Co 2g 4 Co 2g 4.94 .
1 Co 2g 5 Ge 1a 2.47 .
2 Co 2g 3 Co 2g 2.31 .
2 Co 2g 4 Co 2g 4.58 .
2 Co 2g 5 Ge 1a 4.74 .
3 Co 2g 4 Co 2g 2.27 .
3 Co 2g 5 Ge 1a 4.74 .
4 Co 2g 5 Ge 1a 2.47 .
Jij: magnetic exchange parameter between site i and j (Individual Jij values are temporarily not available while we perform maintenance.)
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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) = (26, 26, 6) 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-1226058
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