Eu(MnGe)2

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-672298 · Space group: I4/mmm (#139)

Materials Project API

Basic Information

Formula

Eu(MnGe)2

MP-ID

mp-672298

Elements

Sites

Density

8.6690

g/cm³

Volume

77.98

Å³

Cell a

5.7839

Cell b

5.7839

Cell c

5.7839

α Angle

140.39

β Angle

140.39

γ Angle

57.26

Space Group

I4/mmm

Point Group

4/mmm

Crystal System

Tetragonal

Bravais Lattice

Stability

Packing Fraction

X-ray Diffraction

Diffraction Pattern

Target / Radiation

X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å

Diffraction Peaks (Top 24)

2θ	d (Å)	I	hkl
17.47	5.0767	2.4	(1,1,-1)
24.34	3.6564	7.5	(1,0,-1)
32.30	2.7714	33.5	(1,-1,0)
35.03	2.5616	100.0	(2,1,-2)
35.36	2.5383	4.7	(2,2,-2)
36.95	2.4325	90.0	(2,0,-1)
46.33	1.9597	57.4	(1,-1,1)
48.64	1.8719	6.6	(3,1,-2)
49.88	1.8282	1.1	(2,0,-2)
50.63	1.8030	34.8	(3,2,-3)
53.02	1.7272	2.0	(2,-1,-1)
59.38	1.5564	42.8	(3,0,-2)
59.60	1.5512	3.8	(3,1,-3)
64.52	1.4443	16.5	(4,2,-3)
67.61	1.3857	17.8	(2,-2,0)
71.04	1.3269	25.1	(4,1,-3)
74.81	1.2692	6.6	(4,4,-4)
76.93	1.2394	6.0	(2,-2,1)
78.47	1.2188	9.5	(3,0,-3)
78.67	1.2163	1.6	(4,0,-2)
79.63	1.2040	17.9	(3,-1,-2)
83.84	1.1539	4.9	(4,4,-5)
87.61	1.1137	1.9	(4,0,-3)
89.12	1.0987	7.2	(4,1,-4)

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Energy Properties

Formation Energy/atom

-0.22308

eV/atom

Energy/atom

-7.79472

eV/atom

Energy above Hull

0.1189

eV/atom

Uncorrected Energy

-7.7947

eV/atom

Volume/atom

15.60

Å³

c/a Ratio

1.0000

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

10.2161

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.131000

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Mn · 0.400

Element Family

3d-TM

Solute Fraction

0.600

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0549

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.7706

J/mol·K

Ω Parameter

4.2143

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

17.139%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.3101

smaller = more stable mixing

VEC

5.800

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-2.730

kJ/mol; negative = exothermic mixing

Entropy Norm

0.9602

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.527

Family

Mn-rich Multi-Component

Matrix Element

Mn · 0.400

Related Tasks

Related computation task IDs (5)

aaadmqmh aaadszao aaadymut aaaeumgi aaafjkfz

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-672298

Reference Citation

The crystal structure and related material properties of Eu(MnGe)2 were obtained from the Materials Project database (MP-ID: mp-672298, database version v2026.04.13).

Literature Citation

Horton, M.K., Huck, P., Yang, R.X. et al. Accelerated data-driven materials science with the Materials Project. Nat. Mater. 24, 1522–1532 (2025). https://doi.org/10.1038/s41563-025-02272-0

3D Crystal Structure Rendering

Loading 3D structure…

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Raw CIF Data

# generated using pymatgen
data_Eu(MnGe)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.78387107
_cell_length_b   5.78387107
_cell_length_c   5.78387107
_cell_angle_alpha   140.39057591
_cell_angle_beta   140.39057591
_cell_angle_gamma   57.26074236
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Eu(MnGe)2
_chemical_formula_sum   'Eu1 Mn2 Ge2'
_cell_volume   77.98342857
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Eu  Eu0  1  0.00000000  0.00000000  0.00000000  1.0
  Mn  Mn1  1  0.75000000  0.25000000  0.50000000  1.0
  Mn  Mn2  1  0.25000000  0.75000000  0.50000000  1.0
  Ge  Ge3  1  0.37502000  0.37502000  0.00000000  1.0
  Ge  Ge4  1  0.62498000  0.62498000  0.00000000  1.0

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