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Er2Al9Co2Pd

High-Entropy Materials HEA

MP-ID: mp-3295032 · Space group: Cmcm (#63)

Basic Information

Formula
Er2Al9Co2Pd
MP-ID
mp-3295032
Elements
4
Sites
28
Density
6.0586
g/cm³
Volume
439.43
ų
Cell a
7.3742
Å
Cell b
7.3742
Å
Cell c
9.2328
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
118.93
°
Space Group
Cmcm
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oC
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
13.72 6.4542 40.0 (1,0,-1,0)
13.72 6.4542 40.0 (0,1,-1,0)
13.94 6.3514 11.7 (1,-1,0,0)
16.76 5.2898 48.7 (1,0,-1,1)
16.76 5.2898 48.7 (0,1,-1,1)
19.23 4.6164 5.6 (0,0,0,2)
23.70 3.7548 1.7 (1,0,-1,2)
23.70 3.7548 1.7 (0,1,-1,2)
23.75 3.7468 1.3 (1,1,-2,0)
23.83 3.7342 36.7 (1,-1,0,2)
25.66 3.4718 87.1 (1,1,-2,1)
26.03 3.4236 78.7 (2,-1,-1,1)
26.03 3.4236 78.7 (1,-2,1,1)
27.64 3.2271 8.1 (2,0,-2,0)
27.64 3.2271 8.1 (0,2,-2,0)
28.10 3.1757 16.6 (2,-2,0,0)
29.32 3.0464 18.3 (2,0,-2,1)
29.32 3.0464 18.3 (0,2,-2,1)
30.73 2.9092 78.9 (1,1,-2,2)
31.05 2.8807 85.7 (2,-1,-1,2)
31.05 2.8807 85.7 (1,-2,1,2)
32.22 2.7780 13.7 (1,0,-1,3)
32.22 2.7779 13.7 (0,1,-1,3)
34.27 2.6164 74.9 (2,-2,0,2)
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Energy Properties

Formation Energy/atom
-0.63422
eV/atom
Energy/atom
-13.33913
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-13.3391
eV/atom
Volume/atom
15.69
ų
c/a Ratio
1.2520

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0011
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
Al · 0.643
Element Family
PostTransition-Noble
Solute Fraction
0.357
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0285
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.5511
J/mol·K
Ω Parameter
0.6959
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.601%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2325
smaller = more stable mixing
VEC
5.643
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-15.245
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7419
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295032
Reference Citation

The crystal structure and related material properties of Er2Al9Co2Pd were obtained from the Materials Project database (MP-ID: mp-3295032, 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_Er2Al9Co2Pd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.37418707
_cell_length_b   7.37416442
_cell_length_c   9.23279761
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   118.92641739
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er2Al9Co2Pd
_chemical_formula_sum   'Er4 Al18 Co4 Pd2'
_cell_volume   439.42851736
_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  0.99550377  0.67879806  0.25000000  1.0
  Er  Er1  1  0.00449623  0.32120194  0.75000000  1.0
  Er  Er2  1  0.67879706  0.99550377  0.25000000  1.0
  Er  Er3  1  0.32120294  0.00449623  0.75000000  1.0
  Al  Al4  1  0.14196022  0.14196022  0.25000000  1.0
  Al  Al5  1  0.85803978  0.85803978  0.75000000  1.0
  Al  Al6  1  0.99968766  0.34544424  0.07403107  1.0
  Al  Al7  1  0.00031234  0.65455576  0.92596893  1.0
  Al  Al8  1  0.00031234  0.65455576  0.57403107  1.0
  Al  Al9  1  0.34544424  0.99968866  0.42596893  1.0
  Al  Al10  1  0.99968766  0.34544424  0.42596893  1.0
  Al  Al11  1  0.65455576  0.00031134  0.57403107  1.0
  Al  Al12  1  0.65455576  0.00031134  0.92596893  1.0
  Al  Al13  1  0.34544424  0.99968866  0.07403107  1.0
  Al  Al14  1  0.33988715  0.33988715  0.54620298  1.0
  Al  Al15  1  0.66011285  0.66011285  0.45379702  1.0
  Al  Al16  1  0.66011285  0.66011285  0.04620298  1.0
  Al  Al17  1  0.33988715  0.33988715  0.95379702  1.0
  Al  Al18  1  0.34133555  0.56090084  0.25000000  1.0
  Al  Al19  1  0.65866445  0.43909916  0.75000000  1.0
  Al  Al20  1  0.56089984  0.34133555  0.25000000  1.0
  Al  Al21  1  0.43910016  0.65866445  0.75000000  1.0
  Co  Co22  1  0.67185319  0.32814581  0.00000100  1.0
  Co  Co23  1  0.32814681  0.67185419  0.99999900  1.0
  Co  Co24  1  0.32814681  0.67185419  0.50000100  1.0
  Co  Co25  1  0.67185319  0.32814581  0.49999900  1.0
  Pd  Pd26  1  0.00000000  0.00000000  0.00000000  1.0
  Pd  Pd27  1  0.00000000  0.00000000  0.50000000  1.0
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