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Yb3In3Ge2Au

High-Entropy Materials HEA Elasticity Data ELA

MP-ID: mp-981207 · Space group: P-62m (#189)

Basic Information

Formula
Yb3In3Ge2Au
MP-ID
mp-981207
Elements
4
Sites
9
Density
10.1075
g/cm³
Volume
198.10
ų
Cell a
7.3489
Å
Cell b
7.3489
Å
Cell c
4.2356
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-62m
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
No
Packing Fraction
0.7405

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
13.91 6.3644 14.4 (1,0,-1,0)
20.97 4.2356 5.3 (0,0,0,1)
24.22 3.6745 3.4 (2,-1,-1,0)
25.26 3.5261 1.1 (1,0,-1,1)
28.04 3.1822 17.3 (2,0,-2,0)
32.25 2.7756 93.9 (2,-1,-1,1)
35.28 2.5442 100.0 (2,0,-2,1)
37.38 2.4055 38.3 (3,-1,-2,0)
42.62 2.1215 32.8 (3,0,-3,0)
42.69 2.1178 30.5 (0,0,0,2)
43.25 2.0917 9.6 (2,1,-3,1)
43.25 2.0917 19.2 (3,-1,-2,1)
45.12 2.0095 1.7 (1,0,-1,2)
47.96 1.8968 2.6 (3,0,-3,1)
49.62 1.8372 3.6 (4,-2,-2,0)
49.69 1.8348 1.1 (2,-1,-1,2)
51.79 1.7652 10.7 (4,-1,-3,0)
51.86 1.7630 6.7 (2,0,-2,2)
54.44 1.6855 4.6 (4,-2,-2,1)
56.48 1.6293 15.9 (4,-1,-3,1)
57.96 1.5911 2.6 (4,0,-4,0)
57.96 1.5911 1.3 (4,-4,0,0)
58.02 1.5895 21.0 (3,-1,-2,2)
61.91 1.4988 21.6 (3,0,-3,2)
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Energy Properties

Formation Energy/atom
-0.62888
eV/atom
Energy/atom
-29.03475
eV/atom
Energy above Hull
0.0680
eV/atom
Uncorrected Energy
-29.0348
eV/atom
Volume/atom
22.01
ų
c/a Ratio
0.5764

Electronic Properties

Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0000
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
54.772
GPa
GVRH
37.631
GPa
Young's Modulus E
91.856
GPa
Poisson Ratio ν
0.220
Pugh Ratio K/G
1.456
Vickers Hardness Est.
7.765
GPa
Ductility
Ductile
Anisotropy
0.071
Lame λ
29.685
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Yb · 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
1.3108
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.8979
J/mol·K
Ω Parameter
1.5076
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
12.469%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4709
smaller = more stable mixing
VEC
7.778
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-6.698
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9455
SS Former
0
Phase Tendency
IM

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.0710
Homogeneous Poisson ν
0.2200
Debye Temperature
273.5
K
Sound Velocity
2,134.9
m/s
Homogeneity
0.2200

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-981207
Reference Citation

The crystal structure and related material properties of Yb3In3Ge2Au were obtained from the Materials Project database (MP-ID: mp-981207, 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…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Yb3In3Ge2Au
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.34892175
_cell_length_b   7.34892175
_cell_length_c   4.23555737
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999833
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Yb3In3Ge2Au
_chemical_formula_sum   'Yb3 In3 Ge2 Au1'
_cell_volume   198.10181467
_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
  Yb  Yb0  1  0.40493793  0.00000000  0.50000000  1.0
  Yb  Yb1  1  0.00000000  0.40493793  0.50000000  1.0
  Yb  Yb2  1  0.59506207  0.59506207  0.50000000  1.0
  In  In3  1  0.74746186  1.00000000  0.00000000  1.0
  In  In4  1  1.00000000  0.74746186  0.00000000  1.0
  In  In5  1  0.25253814  0.25253814  0.00000000  1.0
  Ge  Ge6  1  0.33333300  0.66666700  0.00000000  1.0
  Ge  Ge7  1  0.66666700  0.33333300  0.00000000  1.0
  Au  Au8  1  0.00000000  0.00000000  0.50000000  1.0
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