EuGaGe

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1101845 · Space group: P6_3/mmc (#194)

Materials Project API

Basic Information

Formula

EuGaGe

MP-ID

mp-1101845

Elements

Sites

Density

7.0272

g/cm³

Volume

278.20

Å³

Cell a

4.2266

Cell b

4.2266

Cell c

17.9823

α Angle

90.00

β Angle

90.00

γ Angle

120.00

Space Group

P6_3/mmc

Point Group

6/mmm

Crystal System

Hexagonal

Bravais Lattice

Stability

Yes

Packing Fraction

0.7405

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
24.32	3.6603	11.8	(1,0,-1,0)
28.57	3.1239	2.5	(1,0,-1,3)
31.52	2.8385	100.0	(1,0,-1,4)
34.98	2.5654	2.3	(1,0,-1,5)
40.12	2.2478	11.3	(0,0,0,8)
42.79	2.1133	40.2	(2,-1,-1,0)
43.02	2.1027	4.3	(1,0,-1,7)
47.47	1.9155	7.0	(1,0,-1,8)
49.82	1.8302	1.8	(2,0,-2,0)
52.15	1.7538	1.5	(1,0,-1,9)
54.10	1.6951	14.3	(2,0,-2,4)
54.10	1.6951	7.2	(2,-2,0,4)
60.09	1.5397	20.3	(2,-1,-1,8)
62.19	1.4927	2.9	(1,0,-1,11)
65.80	1.4192	2.7	(2,0,-2,8)
67.54	1.3868	7.1	(1,0,-1,12)
71.33	1.3223	18.7	(3,-1,-2,4)
78.20	1.2224	1.7	(2,-1,-1,12)
78.37	1.2201	4.5	(3,0,-3,0)
78.37	1.2201	2.2	(3,-3,0,0)
81.74	1.1782	1.0	(2,1,-3,8)
81.74	1.1782	2.0	(3,-1,-2,8)
83.35	1.1595	2.7	(2,0,-2,12)
83.35	1.1595	1.3	(2,-2,0,12)

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Energy Properties

Formation Energy/atom

-0.59964

eV/atom

Energy/atom

-6.57938

eV/atom

Energy above Hull

0.0000

eV/atom

Uncorrected Energy

-21.9827

eV/atom

Volume/atom

23.18

Å³

c/a Ratio

4.2546

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

28.3320

μB

Mag. Ordering

Unknown

Mag. Sites

Magnetization/Volume

0.101840

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Eu · 0.333

Element Family

Lanthanide

Solute Fraction

0.667

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0986

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

9.1339

J/mol·K

Ω Parameter

1.1508

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

17.694%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.3445

smaller = more stable mixing

VEC

4.667

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-6.914

kJ/mol; negative = exothermic mixing

Entropy Norm

1.0000

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.430

Family

Eu-rich Multi-Component

Matrix Element

Eu · 0.333

Related Tasks

Related computation task IDs (3)

aaadtfvy aaaekmid aaafotvt

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1101845

Reference Citation

The crystal structure and related material properties of EuGaGe were obtained from the Materials Project database (MP-ID: mp-1101845, 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_EuGaGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.22657816
_cell_length_b   4.22657816
_cell_length_c   17.98233971
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999408
_symmetry_Int_Tables_number   1
_chemical_formula_structural   EuGaGe
_chemical_formula_sum   'Eu4 Ga4 Ge4'
_cell_volume   278.19842371
_cell_formula_units_Z   4
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  0.50000000  1.0
  Eu  Eu1  1  0.00000000  -0.00000000  0.00000000  1.0
  Eu  Eu2  1  0.00000000  -0.00000000  0.25000000  1.0
  Eu  Eu3  1  0.00000000  -0.00000000  0.75000000  1.0
  Ga  Ga4  1  0.66666700  0.33333300  0.35484396  1.0
  Ga  Ga5  1  0.33333300  0.66666700  0.64515604  1.0
  Ga  Ga6  1  0.33333300  0.66666700  0.85484396  1.0
  Ga  Ga7  1  0.66666700  0.33333300  0.14515604  1.0
  Ge  Ge8  1  0.33333300  0.66666700  0.38768763  1.0
  Ge  Ge9  1  0.66666700  0.33333300  0.61231237  1.0
  Ge  Ge10  1  0.66666700  0.33333300  0.88768763  1.0
  Ge  Ge11  1  0.33333300  0.66666700  0.11231237  1.0

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