Material:

CrGe

ID:

MMD-3695

Explore database:

Compounds with the same formula: CrGe (1 entry found)
Compounds with the same elements: Cr-Ge (3 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

cubic

Space group number

198

Hermann-Mauguin

P2_13

Hall

P 2ac 2ab 3

Point group

23

Structure data:

Normalized formula

CrGe

The number of formula units per unit cell

4

The total number of atoms per unit cell

8

The number of inequivalent sites per unit cell

2

Structure search

MP

Lattice parameters:

a (Å)

4.7675

b (Å)

4.7675

c (Å)

4.7675

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

90.000

Volume (Å3)

108.364

Density (g/cm3)

7.640

Crystal structure visualization:

Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

12.0 meV/atom

Formation energy above hull

92.5 meV/atom

Phase diagram:

Phase diagram

Related structures:

Compounds with the same formula: CrGe

1 entry found

Compounds with the same elements: Cr-Ge

3 entries found

Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

3.74 μB/cell

Averaged magnetic moment

0.47 μB/atom

Magnetic polarization, Js = μ0Ms

0.40 T (= 318.3 emu/cm3)
LMTO-GF calculations (details)

Curie temperature, TC

DFT calculations (details)

Magnetic easy axis

Magnetic hardness parameter, κ

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

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Cr 4a 0.137130 0.137130 0.137130 0.91 . .
2 Cr 4a 0.362870 0.862870 0.637130 0.93 . .
3 Cr 4a 0.637130 0.362870 0.862870 0.93 . .
4 Cr 4a 0.862870 0.637130 0.362870 0.93 . .
5 Ge 4a 0.844875 0.844875 0.844875 -0.04 . .
6 Ge 4a 0.655125 0.155125 0.344875 -0.04 . .
7 Ge 4a 0.344875 0.655125 0.155125 -0.04 . .
8 Ge 4a 0.155125 0.344875 0.655125 -0.04 . .
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 Cr 4a 2 Cr 4a 2.92 .
1 Cr 4a 3 Cr 4a 2.92 .
1 Cr 4a 4 Cr 4a 2.92 .
1 Cr 4a 5 Ge 4a 2.41 .
1 Cr 4a 6 Ge 4a 2.50 .
1 Cr 4a 7 Ge 4a 2.50 .
1 Cr 4a 8 Ge 4a 2.50 .
2 Cr 4a 3 Cr 4a 2.92 .
2 Cr 4a 4 Cr 4a 2.92 .
2 Cr 4a 5 Ge 4a 2.50 .
2 Cr 4a 6 Ge 4a 2.41 .
2 Cr 4a 7 Ge 4a 2.50 .
2 Cr 4a 8 Ge 4a 2.50 .
3 Cr 4a 4 Cr 4a 2.92 .
3 Cr 4a 5 Ge 4a 2.50 .
3 Cr 4a 6 Ge 4a 2.50 .
3 Cr 4a 7 Ge 4a 2.41 .
3 Cr 4a 8 Ge 4a 2.50 .
4 Cr 4a 5 Ge 4a 2.50 .
4 Cr 4a 6 Ge 4a 2.50 .
4 Cr 4a 7 Ge 4a 2.50 .
4 Cr 4a 8 Ge 4a 2.41 .
5 Ge 4a 6 Ge 4a 2.95 .
5 Ge 4a 7 Ge 4a 2.95 .
5 Ge 4a 8 Ge 4a 2.95 .
6 Ge 4a 7 Ge 4a 2.95 .
6 Ge 4a 8 Ge 4a 2.95 .
7 Ge 4a 8 Ge 4a 2.95 .
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:


Diagram is not available for this entry.

Individual exchange parameters:


Diagram is not available for this entry.

Methods:

DFT calculations

  • exchange-correlation energy functional: GGA-PBE
  • pseudopotential type: PAW
  • cutoff energy: 65.0 Ry
  • k-point grid: (kx, ky, kz) = (None, None, None) 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-20861
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