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HoAgPb

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-31449 · Space group: P6_3mc (#186)

Basic Information

Formula
HoAgPb
MP-ID
mp-31449
Elements
3
Sites
6
Density
10.8669
g/cm³
Volume
146.69
ų
Cell a
4.7588
Å
Cell b
4.7588
Å
Cell c
7.4797
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3mc
Point Group
6mm
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
23.79 3.7398 4.0 (0,0,0,2)
24.66 3.6096 9.8 (0,1,-1,1)
24.66 3.6096 19.6 (1,0,-1,1)
32.32 2.7695 100.0 (1,0,-1,2)
37.81 2.3794 88.1 (2,-1,-1,0)
42.37 2.1332 29.2 (1,0,-1,3)
45.17 2.0075 3.0 (1,1,-2,2)
45.17 2.0075 1.5 (2,-1,-1,2)
45.67 1.9866 2.0 (0,2,-2,1)
45.67 1.9866 4.1 (2,0,-2,1)
48.70 1.8699 5.3 (0,0,0,4)
50.57 1.8048 9.6 (0,2,-2,2)
50.57 1.8048 19.1 (2,0,-2,2)
53.84 1.7028 2.8 (1,0,-1,4)
58.07 1.5884 3.8 (0,2,-2,3)
58.07 1.5884 7.7 (2,0,-2,3)
60.73 1.5250 1.8 (1,2,-3,1)
60.73 1.5250 1.8 (2,1,-3,1)
60.73 1.5250 1.8 (3,-1,-2,1)
63.25 1.4702 14.7 (2,-1,-1,4)
64.84 1.4380 9.1 (1,2,-3,2)
64.84 1.4380 9.1 (2,1,-3,2)
64.84 1.4380 9.1 (3,-1,-2,2)
66.49 1.4062 11.0 (1,0,-1,5)
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Energy Properties

Formation Energy/atom
-0.38020
eV/atom
Energy/atom
-4.09796
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-37.3355
eV/atom
Volume/atom
24.45
ų
c/a Ratio
1.5718

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
Ho · 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
12.2266
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.875%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4546
smaller = more stable mixing
VEC
8.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.889
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
Ho-rich Multi-Component
Matrix Element
Ho · 0.333

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-31449
Reference Citation

The crystal structure and related material properties of HoAgPb were obtained from the Materials Project database (MP-ID: mp-31449, 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_HoAgPb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.75882344
_cell_length_b   4.75882453
_cell_length_c   7.47967852
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999242
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HoAgPb
_chemical_formula_sum   'Ho2 Ag2 Pb2'
_cell_volume   146.69417891
_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
  Ho  Ho0  1  -0.00000000  0.00000000  0.01365260  1.0
  Ho  Ho1  1  -0.00000000  -0.00000000  0.51365260  1.0
  Ag  Ag2  1  0.66666700  0.33333300  0.33364296  1.0
  Ag  Ag3  1  0.33333300  0.66666700  0.83364296  1.0
  Pb  Pb4  1  0.33333300  0.66666700  0.23260544  1.0
  Pb  Pb5  1  0.66666700  0.33333300  0.73260544  1.0
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