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ErInAu

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-30375 · Space group: P-62m (#189)

Basic Information

Formula
ErInAu
MP-ID
mp-30375
Elements
3
Sites
9
Density
11.8992
g/cm³
Volume
200.55
ų
Cell a
7.6252
Å
Cell b
7.6252
Å
Cell c
3.9829
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
Yes
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
23.33 3.8126 15.3 (2,-1,-1,0)
26.13 3.4106 11.7 (1,0,-1,1)
27.00 3.3018 4.5 (2,0,-2,0)
32.51 2.7542 83.9 (2,-1,-1,1)
35.31 2.5419 100.0 (2,0,-2,1)
35.98 2.4959 31.6 (3,-1,-2,0)
41.00 2.2012 52.4 (3,0,-3,0)
42.75 2.1150 39.3 (3,-1,-2,1)
45.55 1.9915 26.9 (0,0,0,2)
47.71 1.9063 8.4 (4,-2,-2,0)
49.79 1.8315 9.8 (4,-1,-3,0)
51.79 1.7652 4.0 (2,-1,-1,2)
53.27 1.7195 3.6 (4,-2,-2,1)
53.75 1.7053 1.4 (2,0,-2,2)
55.20 1.6640 10.3 (4,-1,-3,1)
55.68 1.6509 1.4 (4,0,-4,0)
59.37 1.5567 14.5 (3,-1,-2,2)
61.18 1.5150 2.1 (5,-2,-3,0)
62.94 1.4768 29.7 (3,0,-3,2)
64.69 1.4410 9.1 (5,-1,-4,0)
65.97 1.4160 35.3 (5,-2,-3,1)
68.09 1.3771 5.9 (4,-2,-2,2)
69.35 1.3551 5.8 (5,-1,-4,1)
69.76 1.3481 7.2 (4,-1,-3,2)
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Energy Properties

Formation Energy/atom
-0.85692
eV/atom
Energy/atom
-36.55325
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-36.5533
eV/atom
Volume/atom
22.28
ų
c/a Ratio
0.5223

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0000
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Er · 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
1.9722
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.111%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5333
smaller = more stable mixing
VEC
8.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-5.509
kJ/mol; negative = exothermic mixing
Entropy Norm
1.0000
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.430
Family
Er-rich Multi-Component
Matrix Element
Er · 0.333

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-30375
Reference Citation

The crystal structure and related material properties of ErInAu were obtained from the Materials Project database (MP-ID: mp-30375, 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_ErInAu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.62515544
_cell_length_b   7.62515538
_cell_length_c   3.98291941
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000026
_symmetry_Int_Tables_number   1
_chemical_formula_structural   ErInAu
_chemical_formula_sum   'Er3 In3 Au3'
_cell_volume   200.55317821
_cell_formula_units_Z   3
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
  Er  Er0  1  0.59572355  -0.00000000  0.50000000  1.0
  Er  Er1  1  0.40427645  0.40427645  0.50000000  1.0
  Er  Er2  1  0.00000000  0.59572355  0.50000000  1.0
  In  In3  1  0.00000000  0.26049838  -0.00000000  1.0
  In  In4  1  0.73950162  0.73950162  0.00000000  1.0
  In  In5  1  0.26049838  -0.00000000  -0.00000000  1.0
  Au  Au6  1  0.66666700  0.33333300  0.00000000  1.0
  Au  Au7  1  0.33333300  0.66666700  -0.00000000  1.0
  Au  Au8  1  -0.00000000  -0.00000000  0.50000000  1.0
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