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Hf2CuRe

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-977567 · Space group: Fm-3m (#225)

Basic Information

Formula
Hf2CuRe
MP-ID
mp-977567
Elements
3
Sites
4
Density
14.7474
g/cm³
Volume
68.32
ų
Cell a
4.5886
Å
Cell b
4.5886
Å
Cell c
4.5886
Å
α Angle
60.00
°
β Angle
60.00
°
γ Angle
60.00
°
Space Group
Fm-3m
Point Group
m-3m
Crystal System
Cubic
Bravais Lattice
cF
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 11)
2θd (Å)Ihkl
23.75 3.7466 8.6 (1,1,1)
27.49 3.2446 3.4 (1,1,0)
39.27 2.2943 100.0 (2,1,1)
46.41 1.9566 4.6 (2,2,1)
56.74 1.6223 17.1 (2,2,0)
62.37 1.4887 2.0 (3,2,2)
64.18 1.4511 1.4 (3,2,1)
71.18 1.3246 34.8 (3,3,2)
76.24 1.2489 1.6 (3,3,1)
84.45 1.1472 11.2 (4,2,2)
89.31 1.0969 1.7 (4,3,2)
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Energy Properties

Formation Energy/atom
-0.29159
eV/atom
Energy/atom
-9.40701
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-38.7279
eV/atom
Volume/atom
17.08
ų
c/a Ratio
1.0000

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
Hf · 0.500
Element Family
5d-TM
Solute Fraction
0.500
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0397
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.6442
J/mol·K
Ω Parameter
0.6004
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.349%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3000
smaller = more stable mixing
VEC
6.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-35.380
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9464
SS Former
0
Phase Tendency
AM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.509
Family
Hf-rich Multi-Component
Matrix Element
Hf · 0.500

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-977567
Reference Citation

The crystal structure and related material properties of Hf2CuRe were obtained from the Materials Project database (MP-ID: mp-977567, 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_Hf2CuRe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.58861700
_cell_length_b   4.58861700
_cell_length_c   4.58861700
_cell_angle_alpha   60.00000000
_cell_angle_beta   60.00000000
_cell_angle_gamma   60.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Hf2CuRe
_chemical_formula_sum   'Hf2 Cu1 Re1'
_cell_volume   68.31725888
_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
  Hf  Hf0  1  -0.00000000  0.00000000  0.00000000  1.0
  Hf  Hf1  1  0.49999900  0.49999900  0.49999900  1.0
  Cu  Cu2  1  0.25000000  0.25000000  0.25000000  1.0
  Re  Re3  1  0.74999900  0.74999900  0.74999900  1.0
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