NovoMag Database

Material:

Mn₃Ge

ID:

MMD-907

Explore database:

Compounds with the same formula: Mn₃Ge (4 entries found)

Compounds with the same elements: Mn-Ge (14 entries found)

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	Mn₃Ge
The number of formula units per unit cell	2
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)	5.1803
b (Å)	5.1803
c (Å)	4.1884
α (deg.)	90.000
β (deg.)	90.000
γ (deg.)	120.000
Volume (Å³)	97.341
Density (g/cm³)	8.101

Crystal structure visualization:

Thermodynamic properties:

	DFT calculations (details)
Formation energy (vs. elemental phases)	-32.2 meV/atom
Formation energy above hull	22.1 meV/atom

Phase diagram:

Related structures:

Compounds with the same formula: Mn₃Ge	4 entries found
Compounds with the same elements: Mn-Ge	14 entries found

Magnetic properties:

	DFT calculations (details)
Magnetic ordering	Ferromagnetic
Total magnetic moment	9.67 μ_B/cell
Averaged magnetic moment	1.21 μ_B/atom
Magnetic polarization, J_s = μ₀M_s	1.16 T (= 923.1 emu/cm³)

	LMTO-GF calculations (details)
Curie temperature, T_C

	DFT calculations (details)
Magnetic anisotropy constant, K^a-c	-1.70 MJ/m³ (= -1.03 meV/cell)
Magnetic easy axis	ab plane
Magnetic hardness parameter, κ	1.26

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

index	species	w	x	y	z	m (μ_B)	E^soc₁₀₀ (meV)	E^soc₀₀₁ (meV)
1	Mn	6h	0.838684	0.161316	0.250000	1.59	.	.
2	Mn	6h	0.838684	0.677368	0.250000	1.59	.	.
3	Mn	6h	0.322632	0.161316	0.250000	1.59	.	.
4	Mn	6h	0.161316	0.838684	0.750000	1.59	.	.
5	Mn	6h	0.161316	0.322632	0.750000	1.59	.	.
6	Mn	6h	0.677368	0.838684	0.750000	1.59	.	.
7	Ge	2c	0.333333	0.666667	0.250000	-0.09	.	.
8	Ge	2c	0.666667	0.333333	0.750000	-0.09	.	.

w: site multiplicity (the number of equivalent positions) and Wyckoff letter (a label for site symmetry)
m: local magnetic moment
E^soc_{100 (001)}: Spin-orbit coupling energy for the magnetization oriented along the crystallographic a (c) axis
(Individual E^soc values are temporarily not available while we perform maintenance.)

Terms and conditions

Site-resolved magnetic moments:

Pair-wise magnetic data:

site i			site j			distance (Å)	J_ij (meV)
1	Mn	6h	2	Mn	6h	2.51	.
1	Mn	6h	3	Mn	6h	2.51	.
1	Mn	6h	4	Mn	6h	3.57	.
1	Mn	6h	5	Mn	6h	2.55	.
1	Mn	6h	6	Mn	6h	2.55	.
1	Mn	6h	7	Ge	2c	2.59	.
1	Mn	6h	8	Ge	2c	2.60	.
2	Mn	6h	3	Mn	6h	2.51	.
2	Mn	6h	4	Mn	6h	2.55	.
2	Mn	6h	5	Mn	6h	3.57	.
2	Mn	6h	6	Mn	6h	2.55	.
2	Mn	6h	7	Ge	2c	2.59	.
2	Mn	6h	8	Ge	2c	2.60	.
3	Mn	6h	4	Mn	6h	2.55	.
3	Mn	6h	5	Mn	6h	2.55	.
3	Mn	6h	6	Mn	6h	3.57	.
3	Mn	6h	7	Ge	2c	2.59	.
3	Mn	6h	8	Ge	2c	2.60	.
4	Mn	6h	5	Mn	6h	2.51	.
4	Mn	6h	6	Mn	6h	2.51	.
4	Mn	6h	7	Ge	2c	2.60	.
4	Mn	6h	8	Ge	2c	2.59	.
5	Mn	6h	6	Mn	6h	2.51	.
5	Mn	6h	7	Ge	2c	2.60	.
5	Mn	6h	8	Ge	2c	2.59	.
6	Mn	6h	7	Ge	2c	2.60	.
6	Mn	6h	8	Ge	2c	2.59	.
7	Ge	2c	8	Ge	2c	3.65	.

J_ij: magnetic exchange parameter between site i and j (Individual J_ij values are temporarily not available while we perform maintenance.)

Terms and conditions

Pair-resolved magnetic exchange parameters:

Individual exchange parameters:

Methods:

DFT calculations

exchange-correlation energy functional: GGA-PBE
pseudopotential type: PAW
cutoff energy: 65.0 Ry
k-point grid: (kx, ky, kz) = (14, 14, 16) for magnetic anisotropy calculations
package: QE (v6.3)

Material:

Mn3Ge

ID:

MMD-907

Explore database:

Compounds with the same formula: Mn3Ge (4 entries found)

Compounds with the same elements: Mn-Ge (14 entries found)

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

Mn3Ge

The number of formula units per unit cell

2

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)

5.1803

b (Å)

5.1803

c (Å)

4.1884

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

120.000

Volume (Å3)

97.341

Density (g/cm3)

8.101

Crystal structure visualization:

Thermodynamic properties:

Formation energy (vs. elemental phases)

-32.2 meV/atom

Formation energy above hull

22.1 meV/atom

Phase diagram:

Related structures:

Compounds with the same formula: Mn3Ge

4 entries found

Compounds with the same elements: Mn-Ge

14 entries found

Magnetic properties:

Magnetic ordering

Ferromagnetic

Total magnetic moment

9.67 μB/cell

Averaged magnetic moment

1.21 μB/atom

Magnetic polarization, Js = μ0Ms

1.16 T (= 923.1 emu/cm3)

Curie temperature, TC

Magnetic anisotropy constant, Ka-c

-1.70 MJ/m3 (= -1.03 meV/cell)

Magnetic easy axis

ab plane

Magnetic hardness parameter, κ

1.26

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

Site-resolved magnetic moments:

Pair-wise magnetic data:

Pair-resolved magnetic exchange parameters:

Individual exchange parameters:

Methods:

Mn₃Ge

Compounds with the same formula: Mn₃Ge (4 entries found)

Mn₃Ge

Volume (Å³)

Density (g/cm³)

Compounds with the same formula: Mn₃Ge

9.67 μ_B/cell

1.21 μ_B/atom

Magnetic polarization, J_s = μ₀M_s

1.16 T (= 923.1 emu/cm³)

Curie temperature, T_C

Magnetic anisotropy constant, K^a-c

-1.70 MJ/m³ (= -1.03 meV/cell)