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Lu(P2Rh3)2

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1095635 · Space group: P-6m2 (#187)

Basic Information

Formula
Lu(P2Rh3)2
MP-ID
mp-1095635
Elements
3
Sites
11
Density
9.6058
g/cm³
Volume
158.40
ų
Cell a
7.0223
Å
Cell b
7.0223
Å
Cell c
3.7090
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-6m2
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
No
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 24)
2θd (Å)Ihkl
14.57 6.0815 3.4 (1,0,-1,0)
23.99 3.7090 1.6 (0,0,0,1)
28.18 3.1666 9.5 (1,0,-1,1)
28.18 3.1666 4.7 (1,-1,0,1)
29.37 3.0408 12.8 (2,0,-2,0)
29.37 3.0408 6.4 (2,-2,0,0)
35.20 2.5498 5.9 (1,1,-2,1)
35.20 2.5498 11.8 (2,-1,-1,1)
38.28 2.3515 100.0 (2,0,-2,1)
39.19 2.2986 15.9 (3,-1,-2,0)
39.19 2.2986 7.9 (3,-2,-1,0)
44.70 2.0272 7.5 (3,0,-3,0)
44.70 2.0272 3.8 (3,-3,0,0)
46.48 1.9538 11.7 (3,-1,-2,1)
49.13 1.8545 16.9 (0,0,0,2)
51.37 1.7788 4.0 (3,0,-3,1)
51.37 1.7788 2.0 (3,-3,0,1)
52.10 1.7556 7.3 (2,2,-4,0)
52.10 1.7556 14.7 (4,-2,-2,0)
54.39 1.6867 1.7 (4,-1,-3,0)
58.28 1.5833 5.8 (2,0,-2,2)
60.28 1.5354 2.4 (3,1,-4,1)
60.28 1.5354 4.9 (4,-1,-3,1)
64.57 1.4433 10.8 (3,-1,-2,2)
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Energy Properties

Formation Energy/atom
-0.99099
eV/atom
Energy/atom
-20.89150
eV/atom
Energy above Hull
0.0149
eV/atom
Uncorrected Energy
-7.2789
eV/atom
Volume/atom
14.40
ų
c/a Ratio
0.5282

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0004
μB
Mag. Ordering
NM
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
Rh · 0.545
Element Family
4d-TM
Solute Fraction
0.455
Interstitial Fraction
0.364

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9165
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.6195
J/mol·K
Ω Parameter
0.8759
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.236%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2831
smaller = more stable mixing
VEC
6.909
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
13.141
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8342
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.540
Family
Interstitial Alloy
Matrix Element
Rh · 0.545

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1095635
Reference Citation

The crystal structure and related material properties of Lu(P2Rh3)2 were obtained from the Materials Project database (MP-ID: mp-1095635, 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_Lu(P2Rh3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.02233928
_cell_length_b   7.02233928
_cell_length_c   3.70898600
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999320
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Lu(P2Rh3)2
_chemical_formula_sum   'Lu1 P4 Rh6'
_cell_volume   158.39791908
_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  0.33333300  0.66666700  0.00000000  1.0
  P  P1  1  0.66666700  0.33333300  0.00000000  1.0
  P  P2  1  0.71071500  0.85535800  0.50000000  1.0
  P  P3  1  0.14464200  0.28928500  0.50000000  1.0
  P  P4  1  0.14464200  0.85535800  0.50000000  1.0
  Rh  Rh5  1  0.26883600  0.13441800  0.00000000  1.0
  Rh  Rh6  1  0.86558200  0.73116400  0.00000000  1.0
  Rh  Rh7  1  0.86558200  0.13441800  0.00000000  1.0
  Rh  Rh8  1  0.94542000  0.47271000  0.50000000  1.0
  Rh  Rh9  1  0.52729000  0.05458000  0.50000000  1.0
  Rh  Rh10  1  0.52729000  0.47271000  0.50000000  1.0
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