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Er8SiHgPd23

High-Entropy Materials HEA

MP-ID: mp-3293392 · Space group: Pmm2 (#25)

Basic Information

Formula
Er8SiHgPd23
MP-ID
mp-3293392
Elements
4
Sites
33
Density
11.8771
g/cm³
Volume
561.25
ų
Cell a
8.1815
Å
Cell b
8.2828
Å
Cell c
8.2823
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pmm2
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
oP
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 13)
2θd (Å)Ihkl
21.73 4.0908 1.5 (2,0,0)
30.53 2.9283 2.0 (0,2,2)
37.78 2.3811 100.0 (2,2,2)
43.72 2.0707 17.0 (0,4,0)
43.72 2.0706 16.6 (0,0,4)
44.28 2.0454 16.3 (4,0,0)
63.54 1.4642 10.5 (0,4,4)
63.98 1.4552 10.4 (4,4,0)
63.98 1.4551 10.2 (4,0,4)
76.35 1.2473 11.8 (2,6,2)
76.36 1.2472 11.3 (2,2,6)
77.17 1.2361 11.3 (6,2,2)
80.71 1.1906 10.2 (4,4,4)
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Energy Properties

Formation Energy/atom
-0.96181
eV/atom
Energy/atom
-26.95077
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-26.9508
eV/atom
Volume/atom
17.01
ų
c/a Ratio
1.0123

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0018
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
Pd · 0.697
Element Family
4d-TM
Solute Fraction
0.303
Interstitial Fraction
0.030

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.8071
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
6.7099
J/mol·K
Ω Parameter
3.4971
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.592%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4073
smaller = more stable mixing
VEC
10.364
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-3.394
kJ/mol; negative = exothermic mixing
Entropy Norm
0.5822
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293392
Reference Citation

The crystal structure and related material properties of Er8SiHgPd23 were obtained from the Materials Project database (MP-ID: mp-3293392, 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_Er8SiHgPd23
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.18153115
_cell_length_b   8.28278795
_cell_length_c   8.28226096
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er8SiHgPd23
_chemical_formula_sum   'Er8 Si1 Hg1 Pd23'
_cell_volume   561.25476536
_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
  Er  Er0  1  0.25402165  0.24591342  0.26414647  1.0
  Er  Er1  1  0.74557685  0.74514426  0.74540655  1.0
  Er  Er2  1  0.74557685  0.74514426  0.25459345  1.0
  Er  Er3  1  0.74557685  0.25485574  0.74540655  1.0
  Er  Er4  1  0.25402165  0.24591342  0.73585353  1.0
  Er  Er5  1  0.25402165  0.75408658  0.26414647  1.0
  Er  Er6  1  0.25402165  0.75408658  0.73585353  1.0
  Er  Er7  1  0.74557685  0.25485574  0.25459345  1.0
  Si  Si8  1  0.99935400  0.00000000  0.00000000  1.0
  Hg  Hg9  1  0.26132315  0.50000000  0.00000000  1.0
  Pd  Pd10  1  0.74298997  0.50000000  0.00000000  1.0
  Pd  Pd11  1  0.99819107  0.25599793  0.50000000  1.0
  Pd  Pd12  1  0.49916298  0.25393434  0.00000000  1.0
  Pd  Pd13  1  0.99819107  0.74400207  0.50000000  1.0
  Pd  Pd14  1  0.49916298  0.74606566  0.00000000  1.0
  Pd  Pd15  1  0.50142189  0.00000000  0.25657570  1.0
  Pd  Pd16  1  0.25616384  0.00000000  0.50000000  1.0
  Pd  Pd17  1  0.50142189  0.00000000  0.74342430  1.0
  Pd  Pd18  1  0.74322418  0.00000000  0.50000000  1.0
  Pd  Pd19  1  0.00155691  0.50000000  0.25771893  1.0
  Pd  Pd20  1  0.00155691  0.50000000  0.74228107  1.0
  Pd  Pd21  1  0.25150292  0.50000000  0.50000000  1.0
  Pd  Pd22  1  0.74851326  0.50000000  0.50000000  1.0
  Pd  Pd23  1  0.50201049  0.25159052  0.50000000  1.0
  Pd  Pd24  1  0.50201049  0.74840948  0.50000000  1.0
  Pd  Pd25  1  0.49873257  0.50000000  0.25507308  1.0
  Pd  Pd26  1  0.49873257  0.50000000  0.74492692  1.0
  Pd  Pd27  1  0.27914649  0.00000000  0.00000000  1.0
  Pd  Pd28  1  0.71962076  0.00000000  0.00000000  1.0
  Pd  Pd29  1  0.00109921  0.27768451  0.00000000  1.0
  Pd  Pd30  1  0.00109921  0.72231549  0.00000000  1.0
  Pd  Pd31  1  0.99770959  0.00000000  0.27819407  1.0
  Pd  Pd32  1  0.99770959  0.00000000  0.72180593  1.0
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