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Pm2CuGe

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-863664 · Space group: Fm-3m (#225)

Basic Information

Formula
Pm2CuGe
MP-ID
mp-863664
Elements
3
Sites
4
Density
7.6264
g/cm³
Volume
92.80
ų
Cell a
5.0818
Å
Cell b
5.0818
Å
Cell c
5.0818
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 9)
2θd (Å)Ihkl
24.78 3.5934 14.3 (1,1,0)
35.32 2.5409 100.0 (2,1,1)
43.63 2.0746 4.3 (2,2,2)
50.82 1.7967 17.6 (2,2,0)
57.34 1.6070 6.0 (3,2,1)
63.41 1.4670 35.7 (3,3,2)
74.72 1.2704 10.9 (4,2,2)
80.12 1.1978 3.0 (4,3,3)
85.44 1.1363 15.6 (4,3,1)
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Energy Properties

Formation Energy/atom
-0.51033
eV/atom
Energy/atom
-21.46033
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.4603
eV/atom
Volume/atom
23.20
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
0.0001
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
66.228
GPa
GVRH
24.887
GPa
Young's Modulus E
66.350
GPa
Poisson Ratio ν
0.333
Pugh Ratio K/G
2.661
Vickers Hardness Est.
1.172
GPa
Ductility
Brittle
Anisotropy
0.068
Lame λ
49.637
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pm · 0.500
Element Family
Lanthanide
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
3.8290
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
18.792%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4143
smaller = more stable mixing
VEC
6.250
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-3.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9464
SS Former
0
Phase Tendency
IM

Traditional Material Features

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

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.0680
Homogeneous Poisson ν
0.3330
Debye Temperature
309.3
K
Sound Velocity
2,026.4
m/s
Homogeneity
0.3330

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-863664
Reference Citation

The crystal structure and related material properties of Pm2CuGe were obtained from the Materials Project database (MP-ID: mp-863664, 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_Pm2CuGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.08176907
_cell_length_b   5.08176907
_cell_length_c   5.08176907
_cell_angle_alpha   60.00000000
_cell_angle_beta   60.00000000
_cell_angle_gamma   60.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pm2CuGe
_chemical_formula_sum   'Pm2 Cu1 Ge1'
_cell_volume   92.79611170
_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
  Pm  Pm0  1  0.00000000  0.00000000  0.00000000  1.0
  Pm  Pm1  1  0.50000000  0.50000000  0.50000000  1.0
  Cu  Cu2  1  0.24999900  0.24999900  0.24999900  1.0
  Ge  Ge3  1  0.74999900  0.74999900  0.74999900  1.0
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