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Eu(PRh)2

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-8582 · Space group: I4/mmm (#139)

Basic Information

Formula
Eu(PRh)2
MP-ID
mp-8582
Elements
3
Sites
5
Density
8.6941
g/cm³
Volume
80.17
ų
Cell a
5.7140
Å
Cell b
5.7140
Å
Cell c
5.7140
Å
α Angle
138.79
°
β Angle
138.79
°
γ Angle
59.70
°
Space Group
I4/mmm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
Tetragonal I
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
17.90 4.9560 3.4 (1,1,-1)
23.88 3.7268 23.0 (1,0,-1)
35.15 2.5530 28.2 (2,1,-2)
36.25 2.4780 17.1 (2,2,-2)
36.42 2.4666 100.0 (2,0,-1)
45.08 2.0109 35.4 (1,-1,1)
48.74 1.8683 4.1 (3,1,-2)
51.39 1.7781 11.2 (3,2,-3)
51.65 1.7697 6.3 (2,-1,-1)
58.42 1.5797 12.7 (3,0,-2)
59.17 1.5615 16.5 (3,1,-3)
65.32 1.4285 15.2 (4,2,-3)
65.66 1.4220 11.3 (2,-2,0)
70.51 1.3356 1.8 (4,3,-4)
70.72 1.3321 8.7 (4,1,-3)
70.94 1.3285 1.2 (2,-1,-2)
76.72 1.2423 2.9 (3,0,-3)
76.96 1.2390 3.5 (4,4,-4)
77.38 1.2333 7.4 (4,0,-2)
77.48 1.2319 21.7 (3,-1,-2)
85.89 1.1315 1.5 (4,0,-3)
87.72 1.1126 2.1 (5,2,-4)
87.93 1.1105 2.6 (4,1,-4)
88.13 1.1085 1.4 (3,-2,-1)
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Energy Properties

Formation Energy/atom
-0.97563
eV/atom
Energy/atom
-8.14516
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-22.0290
eV/atom
Volume/atom
16.03
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
6.6323
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.082730
μB/ų

Elastic Properties

KVRH
133.042
GPa
GVRH
72.154
GPa
Young's Modulus E
183.321
GPa
Poisson Ratio ν
0.270
Pugh Ratio K/G
1.844
Vickers Hardness Est.
8.946
GPa
Ductility
Brittle
Anisotropy
0.171
Lame λ
84.939
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
P · 0.400
Element Family
Metalloid-Nonmetal
Solute Fraction
0.600
Interstitial Fraction
0.400

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0549
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.7706
J/mol·K
Ω Parameter
1.0272
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
20.350%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4160
smaller = more stable mixing
VEC
7.000
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
10.600
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9602
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.441
Family
P-rich Multi-Component
Matrix Element
P · 0.400

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.1710
Homogeneous Poisson ν
0.2700
Debye Temperature
439.6
K
Sound Velocity
3,206.0
m/s
Homogeneity
0.2700

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-8582
Reference Citation

The crystal structure and related material properties of Eu(PRh)2 were obtained from the Materials Project database (MP-ID: mp-8582, 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_Eu(PRh)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.71396959
_cell_length_b   5.71396959
_cell_length_c   5.71396959
_cell_angle_alpha   138.78867756
_cell_angle_beta   138.78867756
_cell_angle_gamma   59.69722394
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Eu(PRh)2
_chemical_formula_sum   'Eu1 P2 Rh2'
_cell_volume   80.16553120
_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
  Eu  Eu0  1  0.00000000  -0.00000000  0.00000000  1.0
  P  P1  1  0.61562179  0.61562179  -0.00000000  1.0
  P  P2  1  0.38437821  0.38437821  0.00000000  1.0
  Rh  Rh3  1  0.75000000  0.25000000  0.50000000  1.0
  Rh  Rh4  1  0.25000000  0.75000000  0.50000000  1.0
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