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LiPrGe

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-8481 · Space group: P-62m (#189)

Basic Information

Formula
LiPrGe
MP-ID
mp-8481
Elements
3
Sites
9
Density
5.3334
g/cm³
Volume
205.95
ų
Cell a
7.3537
Å
Cell b
7.3537
Å
Cell c
4.3976
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-62m
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
Hexagonal P
Stability
Yes
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
13.91 6.3685 14.9 (1,0,-1,0)
13.91 6.3685 7.4 (1,-1,0,0)
20.19 4.3976 37.2 (0,0,0,1)
24.21 3.6769 14.4 (1,1,-2,0)
24.21 3.6769 28.7 (2,-1,-1,0)
24.60 3.6187 2.0 (1,0,-1,1)
28.02 3.1842 11.9 (2,0,-2,0)
28.02 3.1842 23.9 (2,-2,0,0)
31.72 2.8208 87.3 (2,-1,-1,1)
34.78 2.5791 100.0 (2,0,-2,1)
37.36 2.4071 19.0 (3,-1,-2,0)
41.05 2.1988 23.9 (0,0,0,2)
42.59 2.1228 6.4 (3,0,-3,0)
42.59 2.1228 12.8 (3,-3,0,0)
42.83 2.1115 25.1 (3,-1,-2,1)
43.54 2.0784 2.6 (1,0,-1,2)
48.22 1.8871 13.4 (2,-1,-1,2)
49.59 1.8384 3.2 (2,2,-4,0)
49.59 1.8384 6.4 (4,-2,-2,0)
50.44 1.8093 14.1 (2,0,-2,2)
51.76 1.7663 12.2 (4,-1,-3,0)
51.76 1.7663 12.2 (4,-3,-1,0)
54.07 1.6962 1.3 (4,-2,-2,1)
56.11 1.6390 30.2 (4,-1,-3,1)
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Energy Properties

Formation Energy/atom
-0.66805
eV/atom
Energy/atom
-4.44386
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-15.9920
eV/atom
Volume/atom
22.88
ų
c/a Ratio
0.5980

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

KVRH
53.023
GPa
GVRH
37.085
GPa
Young's Modulus E
90.221
GPa
Poisson Ratio ν
0.216
Pugh Ratio K/G
1.430
Vickers Hardness Est.
7.898
GPa
Ductility
Ductile
Anisotropy
0.340
Lame λ
28.300
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Li · 0.333
Element Family
Alkali-AlkEarth
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
0.3469
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.932%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4543
smaller = more stable mixing
VEC
2.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-25.215
kJ/mol; negative = exothermic mixing
Entropy Norm
1.0000
SS Former
0
Phase Tendency
AM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.390
Family
Li-rich Multi-Component
Matrix Element
Li · 0.333

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.3400
Homogeneous Poisson ν
0.2160
Debye Temperature
429.4
K
Sound Velocity
2,916.3
m/s
Homogeneity
0.2160

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-8481
Reference Citation

The crystal structure and related material properties of LiPrGe were obtained from the Materials Project database (MP-ID: mp-8481, 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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_LiPrGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.35369050
_cell_length_b   7.35369002
_cell_length_c   4.39756228
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999272
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LiPrGe
_chemical_formula_sum   'Li3 Pr3 Ge3'
_cell_volume   205.94598480
_cell_formula_units_Z   3
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
  Li  Li0  1  0.76764682  0.76764682  0.50000000  1.0
  Li  Li1  1  0.23235318  -0.00000000  0.50000000  1.0
  Li  Li2  1  -0.00000000  0.23235318  0.50000000  1.0
  Pr  Pr3  1  -0.00000000  0.58225638  0.00000000  1.0
  Pr  Pr4  1  0.41774362  0.41774362  0.00000000  1.0
  Pr  Pr5  1  0.58225638  -0.00000000  -0.00000000  1.0
  Ge  Ge6  1  0.33333300  0.66666700  0.50000000  1.0
  Ge  Ge7  1  0.66666700  0.33333300  0.50000000  1.0
  Ge  Ge8  1  -0.00000000  -0.00000000  -0.00000000  1.0
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