Material:

Mn6GaGe

ID:

MMD-2914

Explore database:

Compounds with the same formula: Mn6GaGe (1 entry found)
Compounds with the same elements: Mn-Ga-Ge (2 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

187

Hermann-Mauguin

P-6m2

Hall

P -6 2

Point group

-6m2

Structure data:

Normalized formula

Mn6GaGe

The number of formula units per unit cell

1

The total number of atoms per unit cell

8

The number of inequivalent sites per unit cell

4

Structure search

MP


Lattice parameters:

a (Å)

5.1691

b (Å)

5.1691

c (Å)

4.1743

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

120.000

Volume (Å3)

96.595

Density (g/cm3)

8.114

Crystal structure visualization:


Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

7.3 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: Mn6GaGe

1 entry found

Compounds with the same elements: Mn-Ga-Ge

2 entries found

Binary compounds in Mn-Ga system

13 entries found

Binary compounds in Mn-Ge system

14 entries found

Binary compounds in Ga-Ge system

No entries found


Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

8.94 μB/cell

Averaged magnetic moment

1.12 μB/atom

Magnetic polarization, Js = μ0Ms

1.08 T (= 859.4 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 Mn 3j 0.676261 0.838131 0.000000 1.44 . .
2 Mn 3j 0.161869 0.838131 0.000000 1.44 . .
3 Mn 3j 0.161869 0.323739 0.000000 1.44 . .
4 Mn 3k 0.318556 0.159278 0.500000 1.52 . .
5 Mn 3k 0.840722 0.159278 0.500000 1.52 . .
6 Mn 3k 0.840722 0.681444 0.500000 1.52 . .
7 Ga 1b 0.333333 0.666667 0.500000 -0.07 . .
8 Ge 1c 0.666667 0.333333 0.000000 -0.08 . .
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 Mn 3j 2 Mn 3j 2.51 .
1 Mn 3j 3 Mn 3j 2.51 .
1 Mn 3j 4 Mn 3k 3.55 .
1 Mn 3j 5 Mn 3k 2.53 .
1 Mn 3j 6 Mn 3k 2.53 .
1 Mn 3j 7 Ga 1b 2.59 .
1 Mn 3j 8 Ge 1c 2.58 .
2 Mn 3j 3 Mn 3j 2.51 .
2 Mn 3j 4 Mn 3k 2.53 .
2 Mn 3j 5 Mn 3k 3.55 .
2 Mn 3j 6 Mn 3k 2.53 .
2 Mn 3j 7 Ga 1b 2.59 .
2 Mn 3j 8 Ge 1c 2.58 .
3 Mn 3j 4 Mn 3k 2.53 .
3 Mn 3j 5 Mn 3k 2.53 .
3 Mn 3j 6 Mn 3k 3.55 .
3 Mn 3j 7 Ga 1b 2.59 .
3 Mn 3j 8 Ge 1c 2.58 .
4 Mn 3k 5 Mn 3k 2.47 .
4 Mn 3k 6 Mn 3k 2.47 .
4 Mn 3k 7 Ga 1b 2.59 .
4 Mn 3k 8 Ge 1c 2.60 .
5 Mn 3k 6 Mn 3k 2.47 .
5 Mn 3k 7 Ga 1b 2.59 .
5 Mn 3k 8 Ge 1c 2.60 .
6 Mn 3k 7 Ga 1b 2.59 .
6 Mn 3k 8 Ge 1c 2.60 .
7 Ga 1b 8 Ge 1c 3.64 .
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) = (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-1221938


You can download and use the data of this database for your scientific work, provided that you express proper acknowledgements: