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LuHf3(Al3Ir)6

High-Entropy Materials HEA

MP-ID: mp-3295600 · Space group: Pm (#6)

Basic Information

Formula
LuHf3(Al3Ir)6
MP-ID
mp-3295600
Elements
4
Sites
28
Density
8.8672
g/cm³
Volume
439.97
ų
Cell a
7.4306
Å
Cell b
7.4272
Å
Cell c
9.1793
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
119.72
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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 6.4534 5.7 (1,0,-1,0)
13.73 6.4505 5.3 (0,1,-1,0)
13.78 6.4244 14.7 (1,-1,0,0)
16.79 5.2793 14.5 (1,0,-1,1)
16.80 5.2777 15.3 (0,1,-1,1)
19.34 4.5896 21.0 (0,0,0,2)
23.79 3.7402 1.8 (1,0,-1,2)
23.79 3.7396 1.8 (0,1,-1,2)
23.83 3.7345 4.1 (1,-1,0,2)
23.85 3.7304 27.3 (1,1,-2,0)
23.95 3.7153 27.4 (2,-1,-1,0)
23.96 3.7135 27.1 (1,-2,1,0)
25.78 3.4559 23.1 (1,1,-2,1)
25.87 3.4439 23.6 (2,-1,-1,1)
25.88 3.4425 23.6 (1,-2,1,1)
27.77 3.2122 5.2 (2,-2,0,0)
29.34 3.0441 5.7 (2,0,-2,1)
29.35 3.0429 5.7 (0,2,-2,1)
30.89 2.8948 100.0 (1,1,-2,2)
30.97 2.8877 97.7 (2,-1,-1,2)
30.98 2.8869 98.1 (1,-2,1,2)
32.38 2.7647 3.7 (1,0,-1,3)
32.38 2.7645 3.6 (0,1,-1,3)
33.96 2.6397 2.5 (2,0,-2,2)
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Energy Properties

Formation Energy/atom
-0.87786
eV/atom
Energy/atom
-22.62315
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-22.6232
eV/atom
Volume/atom
15.71
ų
c/a Ratio
1.2353

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0007
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
0.9725
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.0850
J/mol·K
Ω Parameter
0.4997
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
5.905%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2871
smaller = more stable mixing
VEC
4.357
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-24.663
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7015
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295600
Reference Citation

The crystal structure and related material properties of LuHf3(Al3Ir)6 were obtained from the Materials Project database (MP-ID: mp-3295600, 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_LuHf3(Al3Ir)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.43059315
_cell_length_b   7.42714947
_cell_length_c   9.17927425
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.71570795
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LuHf3(Al3Ir)6
_chemical_formula_sum   'Lu1 Hf3 Al18 Ir6'
_cell_volume   439.96855663
_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
  Lu  Lu0  1  0.32806772  0.00646757  0.75000000  1.0
  Hf  Hf1  1  0.99391011  0.67321963  0.25000000  1.0
  Hf  Hf2  1  0.00662168  0.32840169  0.75000000  1.0
  Hf  Hf3  1  0.67199881  0.99335117  0.25000000  1.0
  Al  Al4  1  0.12449477  0.12553351  0.25000000  1.0
  Al  Al5  1  0.87153345  0.87434672  0.75000000  1.0
  Al  Al6  1  0.99821873  0.33489941  0.07750496  1.0
  Al  Al7  1  0.00006740  0.66331757  0.92480560  1.0
  Al  Al8  1  0.00006740  0.66331757  0.57519440  1.0
  Al  Al9  1  0.33525947  0.99895622  0.42074044  1.0
  Al  Al10  1  0.99821873  0.33489941  0.42249504  1.0
  Al  Al11  1  0.66670033  0.00140838  0.57536365  1.0
  Al  Al12  1  0.66670033  0.00140838  0.92463635  1.0
  Al  Al13  1  0.33525947  0.99895622  0.07925956  1.0
  Al  Al14  1  0.33179061  0.33332528  0.55586777  1.0
  Al  Al15  1  0.66782433  0.66773627  0.44102031  1.0
  Al  Al16  1  0.66782433  0.66773627  0.05897969  1.0
  Al  Al17  1  0.33179061  0.33332528  0.94413223  1.0
  Al  Al18  1  0.33845688  0.55221747  0.25000000  1.0
  Al  Al19  1  0.66509716  0.45105683  0.75000000  1.0
  Al  Al20  1  0.55371118  0.33943640  0.25000000  1.0
  Al  Al21  1  0.44677239  0.65705359  0.75000000  1.0
  Ir  Ir22  1  0.67342989  0.32738347  0.00098910  1.0
  Ir  Ir23  1  0.32744191  0.67352430  0.00155590  1.0
  Ir  Ir24  1  0.32744191  0.67352430  0.49844410  1.0
  Ir  Ir25  1  0.67342989  0.32738347  0.49901090  1.0
  Ir  Ir26  1  0.99893526  0.99890582  0.00130741  1.0
  Ir  Ir27  1  0.99893526  0.99890582  0.49869259  1.0
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