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Lu2HfPt9

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-3295681 · Space group: P4/mmm (#123)

Basic Information

Formula
Lu2HfPt9
MP-ID
mp-3295681
Elements
3
Sites
12
Density
19.3152
g/cm³
Volume
196.37
ų
Cell a
4.0302
Å
Cell b
4.0302
Å
Cell c
12.0901
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4/mmm
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 8)
2θd (Å)Ihkl
38.70 2.3268 100.0 (1,1,3)
44.99 2.0151 33.0 (2,0,0)
44.99 2.0150 16.3 (0,0,6)
65.51 1.4249 10.9 (2,2,0)
65.51 1.4249 21.5 (2,0,6)
78.75 1.2152 26.0 (3,1,3)
78.76 1.2151 12.7 (1,1,9)
83.00 1.1634 11.4 (2,2,6)
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Energy Properties

Formation Energy/atom
-1.19879
eV/atom
Energy/atom
-49.92384
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-49.9238
eV/atom
Volume/atom
16.36
ų
c/a Ratio
2.9999

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0171
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000090
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pt · 0.750
Element Family
5d-TM
Solute Fraction
0.250
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.7215
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
5.9982
J/mol·K
Ω Parameter
0.8988
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.412%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4331
smaller = more stable mixing
VEC
8.167
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-13.750
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6567
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
A
Score
0.615
Family
Pt-rich Multi-Component
Matrix Element
Pt · 0.750

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295681
Reference Citation

The crystal structure and related material properties of Lu2HfPt9 were obtained from the Materials Project database (MP-ID: mp-3295681, 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_Lu2HfPt9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.03019852
_cell_length_b   4.03019852
_cell_length_c   12.09004824
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Lu2HfPt9
_chemical_formula_sum   'Lu2 Hf1 Pt9'
_cell_volume   196.37260934
_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  0.00000000  0.00000000  0.33386857  1.0
  Lu  Lu1  1  0.00000000  0.00000000  0.66613143  1.0
  Hf  Hf2  1  0.00000000  0.00000000  0.00000000  1.0
  Pt  Pt3  1  0.50000000  0.50000000  0.00000000  1.0
  Pt  Pt4  1  0.50000000  0.50000000  0.33075321  1.0
  Pt  Pt5  1  0.50000000  0.50000000  0.66924679  1.0
  Pt  Pt6  1  0.50000000  0.00000000  0.16184571  1.0
  Pt  Pt7  1  0.50000000  0.00000000  0.50000000  1.0
  Pt  Pt8  1  0.50000000  0.00000000  0.83815429  1.0
  Pt  Pt9  1  0.00000000  0.50000000  0.16184571  1.0
  Pt  Pt10  1  0.00000000  0.50000000  0.50000000  1.0
  Pt  Pt11  1  0.00000000  0.50000000  0.83815429  1.0
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