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Nd4HoIr2Rh

High-Entropy Materials HEA

MP-ID: mp-3296311 · Space group: P4/ncc (#130)

Basic Information

Formula
Nd4HoIr2Rh
MP-ID
mp-3296311
Elements
4
Sites
32
Density
10.1172
g/cm³
Volume
807.02
ų
Cell a
11.1252
Å
Cell b
11.1252
Å
Cell c
6.5204
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4/ncc
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tP
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
11.25 7.8667 10.0 (1,1,0)
15.93 5.5626 1.1 (2,0,0)
22.48 3.9554 57.8 (2,1,1)
22.61 3.9333 2.7 (2,2,0)
27.36 3.2602 2.0 (0,0,2)
28.53 3.1286 22.5 (1,0,2)
28.84 3.0962 94.6 (3,1,1)
31.82 2.8127 26.6 (2,0,2)
32.09 2.7890 85.1 (3,2,1)
32.84 2.7269 62.7 (2,1,2)
34.19 2.6222 21.7 (3,3,0)
35.77 2.5101 2.5 (2,2,2)
36.02 2.4932 93.0 (4,1,1)
36.11 2.4877 100.0 (4,2,0)
36.70 2.4485 28.6 (3,0,2)
37.61 2.3913 83.4 (3,1,2)
38.74 2.3243 28.8 (4,2,1)
40.24 2.2410 12.0 (3,2,2)
41.38 2.1818 2.6 (5,1,0)
42.73 2.1159 40.7 (4,0,2)
42.95 2.1058 4.5 (4,3,1)
44.33 2.0433 5.6 (3,3,2)
45.54 1.9917 60.3 (2,1,3)
45.89 1.9777 3.5 (4,2,2)
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Energy Properties

Formation Energy/atom
-0.75586
eV/atom
Energy/atom
-35.68190
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-35.6819
eV/atom
Volume/atom
25.22
ų
c/a Ratio
0.5861

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0016
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
Nd · 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
1.2130
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0849
J/mol·K
Ω Parameter
0.6121
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.110%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5187
smaller = more stable mixing
VEC
6.250
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-30.144
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8750
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296311
Reference Citation

The crystal structure and related material properties of Nd4HoIr2Rh were obtained from the Materials Project database (MP-ID: mp-3296311, 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_Nd4HoIr2Rh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.12515649
_cell_length_b   11.12515649
_cell_length_c   6.52038639
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Nd4HoIr2Rh
_chemical_formula_sum   'Nd16 Ho4 Ir8 Rh4'
_cell_volume   807.02240067
_cell_formula_units_Z   4
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
  Nd  Nd0  1  0.28869980  0.08821954  0.38843648  1.0
  Nd  Nd1  1  0.28869980  0.91178046  0.88843648  1.0
  Nd  Nd2  1  0.71130020  0.08821954  0.88843648  1.0
  Nd  Nd3  1  0.71130020  0.91178046  0.38843648  1.0
  Nd  Nd4  1  0.58821954  0.78869980  0.88843648  1.0
  Nd  Nd5  1  0.58821954  0.21130020  0.38843648  1.0
  Nd  Nd6  1  0.41178046  0.78869980  0.38843648  1.0
  Nd  Nd7  1  0.41178046  0.21130020  0.88843648  1.0
  Nd  Nd8  1  0.21130020  0.41178046  0.61156352  1.0
  Nd  Nd9  1  0.21130020  0.58821954  0.11156352  1.0
  Nd  Nd10  1  0.78869980  0.41178046  0.11156352  1.0
  Nd  Nd11  1  0.78869980  0.58821954  0.61156352  1.0
  Nd  Nd12  1  0.91178046  0.71130020  0.11156352  1.0
  Nd  Nd13  1  0.91178046  0.28869980  0.61156352  1.0
  Nd  Nd14  1  0.08821954  0.71130020  0.61156352  1.0
  Nd  Nd15  1  0.08821954  0.28869980  0.11156352  1.0
  Ho  Ho16  1  0.00000000  0.00000000  0.50000000  1.0
  Ho  Ho17  1  0.00000000  0.00000000  0.00000000  1.0
  Ho  Ho18  1  0.50000000  0.50000000  0.00000000  1.0
  Ho  Ho19  1  0.50000000  0.50000000  0.50000000  1.0
  Ir  Ir20  1  0.85078510  0.14921490  0.25000000  1.0
  Ir  Ir21  1  0.85078510  0.85078510  0.75000000  1.0
  Ir  Ir22  1  0.14921490  0.14921490  0.75000000  1.0
  Ir  Ir23  1  0.14921490  0.85078510  0.25000000  1.0
  Ir  Ir24  1  0.64921490  0.35078510  0.75000000  1.0
  Ir  Ir25  1  0.64921490  0.64921490  0.25000000  1.0
  Ir  Ir26  1  0.35078510  0.35078510  0.25000000  1.0
  Ir  Ir27  1  0.35078510  0.64921490  0.75000000  1.0
  Rh  Rh28  1  0.50000000  0.00000000  0.12368952  1.0
  Rh  Rh29  1  0.50000000  0.00000000  0.62368952  1.0
  Rh  Rh30  1  0.00000000  0.50000000  0.87631048  1.0
  Rh  Rh31  1  0.00000000  0.50000000  0.37631048  1.0
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