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Er2HfBe2Ir5

High-Entropy Materials HEA

MP-ID: mp-3294629 · Space group: P4/mbm (#127)

Basic Information

Formula
Er2HfBe2Ir5
MP-ID
mp-3294629
Elements
4
Sites
20
Density
16.1904
g/cm³
Volume
306.07
ų
Cell a
9.8027
Å
Cell b
9.8027
Å
Cell c
3.1852
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4/mbm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tP
Stability
Yes
Packing Fraction
-

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
12.77 6.9315 2.4 (1,1,0)
18.10 4.9013 1.8 (2,0,0)
28.01 3.1852 12.4 (0,0,1)
30.90 2.8942 4.8 (1,1,1)
32.94 2.7188 19.1 (3,2,0)
33.55 2.6708 2.1 (2,0,1)
34.82 2.5768 62.2 (2,1,1)
36.67 2.4507 14.1 (4,0,0)
37.84 2.3775 73.6 (4,1,0)
38.38 2.3452 37.1 (2,2,1)
38.98 2.3105 12.3 (3,3,0)
40.61 2.2215 100.0 (3,1,1)
41.18 2.1919 40.5 (4,2,0)
43.78 2.0679 31.6 (3,2,1)
46.77 1.9423 6.9 (4,0,1)
47.28 1.9225 1.3 (5,1,0)
47.74 1.9053 5.2 (4,1,1)
48.69 1.8703 1.6 (3,3,1)
50.11 1.8203 2.1 (5,2,0)
50.55 1.8057 3.4 (4,2,1)
52.83 1.7329 2.6 (4,4,0)
54.59 1.6811 8.1 (5,3,0)
56.31 1.6338 1.1 (6,0,0)
57.90 1.5926 19.8 (0,0,2)
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Energy Properties

Formation Energy/atom
-1.03203
eV/atom
Energy/atom
-39.37953
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-39.3795
eV/atom
Volume/atom
15.30
ų
c/a Ratio
0.3249

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0001
μB
Mag. Ordering
NM
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
Ir · 0.500
Element Family
5d-TM
Solute Fraction
0.500
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2206
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.1481
J/mol·K
Ω Parameter
0.7908
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.916%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4222
smaller = more stable mixing
VEC
7.700
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-29.417
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8805
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294629
Reference Citation

The crystal structure and related material properties of Er2HfBe2Ir5 were obtained from the Materials Project database (MP-ID: mp-3294629, 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_Er2HfBe2Ir5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.80267192
_cell_length_b   9.80267192
_cell_length_c   3.18518305
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er2HfBe2Ir5
_chemical_formula_sum   'Er4 Hf2 Be4 Ir10'
_cell_volume   306.07180934
_cell_formula_units_Z   2
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  0.17591359  0.67591359  0.00000000  1.0
  Er  Er1  1  0.32408641  0.17591359  0.00000000  1.0
  Er  Er2  1  0.82408641  0.32408641  0.00000000  1.0
  Er  Er3  1  0.67591359  0.82408641  0.00000000  1.0
  Hf  Hf4  1  0.50000000  0.50000000  0.00000000  1.0
  Hf  Hf5  1  0.00000000  0.00000000  0.00000000  1.0
  Be  Be6  1  0.37923781  0.87923781  0.00000000  1.0
  Be  Be7  1  0.12076219  0.37923781  0.00000000  1.0
  Be  Be8  1  0.87923781  0.62076219  0.00000000  1.0
  Be  Be9  1  0.62076219  0.12076219  0.00000000  1.0
  Ir  Ir10  1  0.21679895  0.93145298  0.50000000  1.0
  Ir  Ir11  1  0.93145298  0.78320105  0.50000000  1.0
  Ir  Ir12  1  0.43145298  0.71679895  0.50000000  1.0
  Ir  Ir13  1  0.56854702  0.28320105  0.50000000  1.0
  Ir  Ir14  1  0.71679895  0.56854702  0.50000000  1.0
  Ir  Ir15  1  0.28320105  0.43145298  0.50000000  1.0
  Ir  Ir16  1  0.06854702  0.21679895  0.50000000  1.0
  Ir  Ir17  1  0.00000000  0.50000000  0.50000000  1.0
  Ir  Ir18  1  0.50000000  0.00000000  0.50000000  1.0
  Ir  Ir19  1  0.78320105  0.06854702  0.50000000  1.0
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