Material:

MnCoGe

ID:

MMD-2742

Explore database:

Compounds with the same formula: MnCoGe (2 entries found)
Compounds with the same elements: Mn-Co-Ge (7 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

MnCoGe

The number of formula units per unit cell

2

The total number of atoms per unit cell

6

The number of inequivalent sites per unit cell

3

Structure search

MP

Lattice parameters:

a (Å)

4.0911

b (Å)

4.0911

c (Å)

5.1439

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

120.000

Volume (Å3)

74.561

Density (g/cm3)

8.308

Crystal structure visualization:

Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

-165.4 meV/atom

Formation energy above hull

Phase diagram:

Phase diagram
The convex hull is temporarily not available while we perform maintenance.

Related structures:

Compounds with the same formula: MnCoGe

2 entries found

Compounds with the same elements: Mn-Co-Ge

7 entries found

Binary compounds in Mn-Co system

4 entries found

Binary compounds in Mn-Ge system

14 entries found

Binary compounds in Co-Ge system

27 entries found

Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

6.23 μB/cell

Averaged magnetic moment

1.04 μB/atom

Magnetic polarization, Js = μ0Ms

0.97 T (= 771.9 emu/cm3)
LMTO-GF calculations (details)

Curie temperature, TC

DFT calculations (details)

Magnetic anisotropy constant, Ka-c

0.43 MJ/m3 (= 0.20 meV/cell)

Magnetic easy axis

c

Magnetic hardness parameter, κ

0.76

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

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Mn 2a 0.000000 0.000000 0.500000 2.70 . .
2 Mn 2a 0.000000 0.000000 0.000000 2.70 . .
3 Co 2d 0.666667 0.333333 0.250000 0.46 . .
4 Co 2d 0.333333 0.666667 0.750000 0.46 . .
5 Ge 2c 0.333333 0.666667 0.250000 -0.06 . .
6 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.)
Terms and conditions

Site-resolved magnetic moments:

Local magnetic moments

Pair-wise magnetic data:

site i site j distance (Å) Jij (meV)
1 Mn 2a 2 Mn 2a 2.57 .
1 Mn 2a 3 Co 2d 2.69 .
1 Mn 2a 4 Co 2d 2.69 .
1 Mn 2a 5 Ge 2c 2.69 .
1 Mn 2a 6 Ge 2c 2.69 .
2 Mn 2a 3 Co 2d 2.69 .
2 Mn 2a 4 Co 2d 2.69 .
2 Mn 2a 5 Ge 2c 2.69 .
2 Mn 2a 6 Ge 2c 2.69 .
3 Co 2d 4 Co 2d 3.49 .
3 Co 2d 5 Ge 2c 2.36 .
3 Co 2d 6 Ge 2c 2.57 .
4 Co 2d 5 Ge 2c 2.57 .
4 Co 2d 6 Ge 2c 2.36 .
5 Ge 2c 6 Ge 2c 3.49 .
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) = (18, 18, 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-20565
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