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LiNd7PaRh6

High-Entropy Materials HEA

MP-ID: mp-3296598 · Space group: R3 (#146)

Basic Information

Formula
LiNd7PaRh6
MP-ID
mp-3296598
Elements
4
Sites
15
Density
8.3688
g/cm³
Volume
370.07
ų
Cell a
7.6550
Å
Cell b
7.6550
Å
Cell c
7.6550
Å
α Angle
67.85
°
β Angle
67.85
°
γ Angle
67.85
°
Space Group
R3
Point Group
3
Crystal System
Trigonal
Bravais Lattice
hR
Stability
Yes
Packing Fraction
-

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
12.98 6.8188 14.8 (1,0,0)
15.14 5.8536 12.6 (1,1,1)
15.66 5.6582 21.9 (1,1,0)
20.79 4.2721 13.7 (1,0,-1)
23.56 3.7757 8.1 (2,1,1)
25.82 3.4508 34.5 (2,1,0)
26.14 3.4094 8.1 (2,0,0)
28.12 3.1729 23.6 (2,2,1)
30.54 2.9268 18.9 (2,2,2)
31.63 2.8291 1.7 (2,2,0)
31.63 2.8291 3.3 (2,0,2)
32.42 2.7619 43.6 (2,0,-1)
33.63 2.6648 48.8 (2,1,-1)
33.63 2.6648 2.4 (1,-2,-1)
35.23 2.5472 1.2 (3,1,1)
36.43 2.4665 25.2 (1,1,-2)
36.43 2.4665 50.4 (2,-1,-1)
37.24 2.4145 100.0 (3,2,1)
37.87 2.3759 1.0 (3,2,2)
38.15 2.3588 13.3 (3,1,0)
38.15 2.3588 6.6 (3,0,1)
39.65 2.2729 9.4 (2,2,-1)
41.26 2.1878 3.7 (3,2,0)
41.26 2.1878 6.2 (3,0,2)
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Energy Properties

Formation Energy/atom
-0.68085
eV/atom
Energy/atom
-29.34659
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-29.3466
eV/atom
Volume/atom
24.67
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.2587
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000700
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Nd · 0.467
Element Family
Lanthanide
Solute Fraction
0.533
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0833
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.0062
J/mol·K
Ω Parameter
0.4171
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.971%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5567
smaller = more stable mixing
VEC
5.429
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-35.696
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7814
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296598
Reference Citation

The crystal structure and related material properties of LiNd7PaRh6 were obtained from the Materials Project database (MP-ID: mp-3296598, 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_LiNd7PaRh6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.65497031
_cell_length_b   7.65496996
_cell_length_c   7.65497049
_cell_angle_alpha   67.84587843
_cell_angle_beta   67.84587556
_cell_angle_gamma   67.84586456
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LiNd7PaRh6
_chemical_formula_sum   'Li1 Nd7 Pa1 Rh6'
_cell_volume   370.07409267
_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
  Li  Li0  1  0.99688604  0.99688604  0.99688604  1.0
  Nd  Nd1  1  0.18608815  0.18608815  0.18608815  1.0
  Nd  Nd2  1  0.13972588  0.37603910  0.68416734  1.0
  Nd  Nd3  1  0.68416734  0.13972588  0.37603910  1.0
  Nd  Nd4  1  0.37603910  0.68416734  0.13972588  1.0
  Nd  Nd5  1  0.86166844  0.61445995  0.32597830  1.0
  Nd  Nd6  1  0.32597830  0.86166844  0.61445995  1.0
  Nd  Nd7  1  0.61445995  0.32597830  0.86166844  1.0
  Pa  Pa8  1  0.81792754  0.81792754  0.81792754  1.0
  Rh  Rh9  1  0.94087025  0.15995486  0.58829420  1.0
  Rh  Rh10  1  0.58829420  0.94087025  0.15995486  1.0
  Rh  Rh11  1  0.15995486  0.58829420  0.94087025  1.0
  Rh  Rh12  1  0.03988496  0.80356306  0.46449293  1.0
  Rh  Rh13  1  0.46449293  0.03988496  0.80356306  1.0
  Rh  Rh14  1  0.80356306  0.46449293  0.03988496  1.0
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