Material:

TiMn2Ge

ID:

MMD-3068

Explore database:

Compounds with the same formula: TiMn2Ge (1 entry found)
Compounds with the same elements: Ti-Mn-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

225

Hermann-Mauguin

Fm-3m

Hall

-F 4 2 3

Point group

m-3m

Structure data:

Normalized formula

TiMn2Ge

The number of formula units per unit cell

4

The total number of atoms per unit cell

16

The number of inequivalent sites per unit cell

3

Structure search

MP


Lattice parameters:

a (Å)

5.8720

b (Å)

5.8720

c (Å)

5.8720

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

90.000

Volume (Å3)

202.467

Density (g/cm3)

7.558

Crystal structure visualization:


Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

-321.5 meV/atom

Formation energy above hull

0 meV, (stable)

Phase diagram:

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

Related structures:

Compounds with the same formula: TiMn2Ge

1 entry found

Compounds with the same elements: Ti-Mn-Ge

3 entries found

Binary compounds in Ti-Mn system

2 entries found

Binary compounds in Ti-Ge system

No entries found

Binary compounds in Mn-Ge system

14 entries found


Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

7.86 μB/cell

Averaged magnetic moment

0.49 μB/atom

Magnetic polarization, Js = μ0Ms

0.45 T (= 358.1 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 Ti 4a 0.000000 0.000000 0.000000 -0.37 . .
2 Ti 4a 0.000000 0.500000 0.500000 -0.37 . .
3 Ti 4a 0.500000 0.000000 0.500000 -0.37 . .
4 Ti 4a 0.500000 0.500000 0.000000 -0.37 . .
5 Mn 8c 0.250000 0.250000 0.750000 1.19 . .
6 Mn 8c 0.750000 0.250000 0.750000 1.19 . .
7 Mn 8c 0.250000 0.750000 0.250000 1.19 . .
8 Mn 8c 0.750000 0.750000 0.250000 1.19 . .
9 Mn 8c 0.750000 0.250000 0.250000 1.19 . .
10 Mn 8c 0.250000 0.250000 0.250000 1.19 . .
11 Mn 8c 0.750000 0.750000 0.750000 1.19 . .
12 Mn 8c 0.250000 0.750000 0.750000 1.19 . .
13 Ge 4b 0.000000 0.500000 0.000000 -0.03 . .
14 Ge 4b 0.000000 0.000000 0.500000 -0.03 . .
15 Ge 4b 0.500000 0.500000 0.500000 -0.03 . .
16 Ge 4b 0.500000 0.000000 0.000000 -0.03 . .
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 Ti 4a 2 Ti 4a 4.15 .
1 Ti 4a 3 Ti 4a 4.15 .
1 Ti 4a 4 Ti 4a 4.15 .
1 Ti 4a 5 Mn 8c 2.54 .
1 Ti 4a 6 Mn 8c 2.54 .
1 Ti 4a 7 Mn 8c 2.54 .
1 Ti 4a 8 Mn 8c 2.54 .
1 Ti 4a 9 Mn 8c 2.54 .
1 Ti 4a 10 Mn 8c 2.54 .
1 Ti 4a 11 Mn 8c 2.54 .
1 Ti 4a 12 Mn 8c 2.54 .
1 Ti 4a 13 Ge 4b 2.94 .
1 Ti 4a 14 Ge 4b 2.94 .
1 Ti 4a 15 Ge 4b 5.09 .
1 Ti 4a 16 Ge 4b 2.94 .
2 Ti 4a 3 Ti 4a 4.15 .
2 Ti 4a 4 Ti 4a 4.15 .
2 Ti 4a 5 Mn 8c 2.54 .
2 Ti 4a 6 Mn 8c 2.54 .
2 Ti 4a 7 Mn 8c 2.54 .
2 Ti 4a 8 Mn 8c 2.54 .
2 Ti 4a 9 Mn 8c 2.54 .
2 Ti 4a 10 Mn 8c 2.54 .
2 Ti 4a 11 Mn 8c 2.54 .
2 Ti 4a 12 Mn 8c 2.54 .
2 Ti 4a 13 Ge 4b 2.94 .
2 Ti 4a 14 Ge 4b 2.94 .
2 Ti 4a 15 Ge 4b 2.94 .
2 Ti 4a 16 Ge 4b 5.09 .
3 Ti 4a 4 Ti 4a 4.15 .
3 Ti 4a 5 Mn 8c 2.54 .
3 Ti 4a 6 Mn 8c 2.54 .
3 Ti 4a 7 Mn 8c 2.54 .
3 Ti 4a 8 Mn 8c 2.54 .
3 Ti 4a 9 Mn 8c 2.54 .
3 Ti 4a 10 Mn 8c 2.54 .
3 Ti 4a 11 Mn 8c 2.54 .
3 Ti 4a 12 Mn 8c 2.54 .
3 Ti 4a 13 Ge 4b 5.09 .
3 Ti 4a 14 Ge 4b 2.94 .
3 Ti 4a 15 Ge 4b 2.94 .
3 Ti 4a 16 Ge 4b 2.94 .
4 Ti 4a 5 Mn 8c 2.54 .
4 Ti 4a 6 Mn 8c 2.54 .
4 Ti 4a 7 Mn 8c 2.54 .
4 Ti 4a 8 Mn 8c 2.54 .
4 Ti 4a 9 Mn 8c 2.54 .
4 Ti 4a 10 Mn 8c 2.54 .
4 Ti 4a 11 Mn 8c 2.54 .
4 Ti 4a 12 Mn 8c 2.54 .
4 Ti 4a 13 Ge 4b 2.94 .
4 Ti 4a 14 Ge 4b 5.09 .
4 Ti 4a 15 Ge 4b 2.94 .
4 Ti 4a 16 Ge 4b 2.94 .
5 Mn 8c 6 Mn 8c 2.94 .
5 Mn 8c 7 Mn 8c 4.15 .
5 Mn 8c 8 Mn 8c 5.09 .
5 Mn 8c 9 Mn 8c 4.15 .
5 Mn 8c 10 Mn 8c 2.94 .
5 Mn 8c 11 Mn 8c 4.15 .
5 Mn 8c 12 Mn 8c 2.94 .
5 Mn 8c 13 Ge 4b 2.54 .
5 Mn 8c 14 Ge 4b 2.54 .
5 Mn 8c 15 Ge 4b 2.54 .
5 Mn 8c 16 Ge 4b 2.54 .
6 Mn 8c 7 Mn 8c 5.09 .
6 Mn 8c 8 Mn 8c 4.15 .
6 Mn 8c 9 Mn 8c 2.94 .
6 Mn 8c 10 Mn 8c 4.15 .
6 Mn 8c 11 Mn 8c 2.94 .
6 Mn 8c 12 Mn 8c 4.15 .
6 Mn 8c 13 Ge 4b 2.54 .
6 Mn 8c 14 Ge 4b 2.54 .
6 Mn 8c 15 Ge 4b 2.54 .
6 Mn 8c 16 Ge 4b 2.54 .
7 Mn 8c 8 Mn 8c 2.94 .
7 Mn 8c 9 Mn 8c 4.15 .
7 Mn 8c 10 Mn 8c 2.94 .
7 Mn 8c 11 Mn 8c 4.15 .
7 Mn 8c 12 Mn 8c 2.94 .
7 Mn 8c 13 Ge 4b 2.54 .
7 Mn 8c 14 Ge 4b 2.54 .
7 Mn 8c 15 Ge 4b 2.54 .
7 Mn 8c 16 Ge 4b 2.54 .
8 Mn 8c 9 Mn 8c 2.94 .
8 Mn 8c 10 Mn 8c 4.15 .
8 Mn 8c 11 Mn 8c 2.94 .
8 Mn 8c 12 Mn 8c 4.15 .
8 Mn 8c 13 Ge 4b 2.54 .
8 Mn 8c 14 Ge 4b 2.54 .
8 Mn 8c 15 Ge 4b 2.54 .
8 Mn 8c 16 Ge 4b 2.54 .
9 Mn 8c 10 Mn 8c 2.94 .
9 Mn 8c 11 Mn 8c 4.15 .
9 Mn 8c 12 Mn 8c 5.09 .
9 Mn 8c 13 Ge 4b 2.54 .
9 Mn 8c 14 Ge 4b 2.54 .
9 Mn 8c 15 Ge 4b 2.54 .
9 Mn 8c 16 Ge 4b 2.54 .
10 Mn 8c 11 Mn 8c 5.09 .
10 Mn 8c 12 Mn 8c 4.15 .
10 Mn 8c 13 Ge 4b 2.54 .
10 Mn 8c 14 Ge 4b 2.54 .
10 Mn 8c 15 Ge 4b 2.54 .
10 Mn 8c 16 Ge 4b 2.54 .
11 Mn 8c 12 Mn 8c 2.94 .
11 Mn 8c 13 Ge 4b 2.54 .
11 Mn 8c 14 Ge 4b 2.54 .
11 Mn 8c 15 Ge 4b 2.54 .
11 Mn 8c 16 Ge 4b 2.54 .
12 Mn 8c 13 Ge 4b 2.54 .
12 Mn 8c 14 Ge 4b 2.54 .
12 Mn 8c 15 Ge 4b 2.54 .
12 Mn 8c 16 Ge 4b 2.54 .
13 Ge 4b 14 Ge 4b 4.15 .
13 Ge 4b 15 Ge 4b 4.15 .
13 Ge 4b 16 Ge 4b 4.15 .
14 Ge 4b 15 Ge 4b 4.15 .
14 Ge 4b 16 Ge 4b 4.15 .
15 Ge 4b 16 Ge 4b 4.15 .
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:


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-866376


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