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Ho5Sc3(P3Ir4)4

High-Entropy Materials HEA

MP-ID: mp-3295094 · Space group: P-62m (#189)

Basic Information

Formula
Ho5Sc3(P3Ir4)4
MP-ID
mp-3295094
Elements
4
Sites
36
Density
13.1255
g/cm³
Volume
557.50
ų
Cell a
12.7841
Å
Cell b
12.7841
Å
Cell c
3.9389
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
hP
Stability
Yes
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
16.01 5.5357 6.2 (2,0,-2,0)
21.23 4.1846 2.7 (2,-3,1,0)
21.23 4.1846 5.4 (3,-1,-2,0)
22.57 3.9389 1.1 (0,0,0,1)
26.58 3.3533 3.2 (2,-1,-1,1)
27.80 3.2094 3.8 (2,0,-2,1)
27.92 3.1960 18.8 (4,-2,-2,0)
29.08 3.0706 1.6 (4,-3,-1,0)
29.08 3.0706 1.6 (4,-1,-3,0)
31.18 2.8681 16.4 (3,-1,-2,1)
33.27 2.6931 1.6 (3,0,-3,1)
35.34 2.5399 3.9 (5,-2,-3,0)
36.19 2.4818 100.0 (4,-2,-2,1)
37.12 2.4217 8.8 (4,-1,-3,1)
37.22 2.4160 6.4 (5,-4,-1,0)
37.22 2.4160 3.2 (5,-1,-4,0)
39.80 2.2646 4.2 (4,0,-4,1)
40.75 2.2143 4.0 (5,0,-5,0)
42.42 2.1307 2.3 (6,-3,-3,0)
43.24 2.0923 4.6 (6,-2,-4,0)
43.97 2.0594 4.4 (5,-1,-4,1)
45.62 1.9885 4.1 (6,-5,-1,0)
45.62 1.9885 2.1 (6,-1,-5,0)
46.09 1.9695 19.4 (0,0,0,2)
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Energy Properties

Formation Energy/atom
-1.15921
eV/atom
Energy/atom
-32.94746
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-32.9475
eV/atom
Volume/atom
15.49
ų
c/a Ratio
0.3081

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0033
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ir · 0.444
Element Family
5d-TM
Solute Fraction
0.556
Interstitial Fraction
0.333

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2079
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0422
J/mol·K
Ω Parameter
2.9719
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.436%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3824
smaller = more stable mixing
VEC
7.444
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-5.795
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8713
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295094
Reference Citation

The crystal structure and related material properties of Ho5Sc3(P3Ir4)4 were obtained from the Materials Project database (MP-ID: mp-3295094, 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_Ho5Sc3(P3Ir4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.78408281
_cell_length_b   12.78408370
_cell_length_c   3.93889409
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000280
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho5Sc3(P3Ir4)4
_chemical_formula_sum   'Ho5 Sc3 P12 Ir16'
_cell_volume   557.49901348
_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
  Ho  Ho0  1  0.33333300  0.66666700  0.50000000  1.0
  Ho  Ho1  1  0.66666700  0.33333300  0.50000000  1.0
  Ho  Ho2  1  1.00000000  0.81217176  0.00000000  1.0
  Ho  Ho3  1  0.18782824  0.18782824  0.00000000  1.0
  Ho  Ho4  1  0.81217176  1.00000000  0.00000000  1.0
  Sc  Sc5  1  1.00000000  0.44401856  0.50000000  1.0
  Sc  Sc6  1  0.55598144  0.55598144  0.50000000  1.0
  Sc  Sc7  1  0.44401856  1.00000000  0.50000000  1.0
  P  P8  1  0.00000000  0.64603973  0.50000000  1.0
  P  P9  1  0.35396027  0.35396027  0.50000000  1.0
  P  P10  1  0.64603973  0.00000000  0.50000000  1.0
  P  P11  1  0.51735500  0.68796323  0.00000000  1.0
  P  P12  1  0.31203677  0.82939177  0.00000000  1.0
  P  P13  1  0.17060823  0.48264500  0.00000000  1.0
  P  P14  1  0.48264500  0.17060823  0.00000000  1.0
  P  P15  1  0.68796323  0.51735500  0.00000000  1.0
  P  P16  1  0.82939177  0.31203677  0.00000000  1.0
  P  P17  1  0.00000000  0.17635738  0.50000000  1.0
  P  P18  1  0.82364262  0.82364262  0.50000000  1.0
  P  P19  1  0.17635738  0.00000000  0.50000000  1.0
  Ir  Ir20  1  0.50800146  0.86710975  0.00000000  1.0
  Ir  Ir21  1  0.13289025  0.64089271  0.00000000  1.0
  Ir  Ir22  1  0.35910729  0.49199854  0.00000000  1.0
  Ir  Ir23  1  0.49199854  0.35910729  0.00000000  1.0
  Ir  Ir24  1  0.86710975  0.50800146  0.00000000  1.0
  Ir  Ir25  1  0.64089271  0.13289025  0.00000000  1.0
  Ir  Ir26  1  1.00000000  0.27683133  0.00000000  1.0
  Ir  Ir27  1  0.72316867  0.72316867  0.00000000  1.0
  Ir  Ir28  1  0.27683133  1.00000000  0.00000000  1.0
  Ir  Ir29  1  0.62855289  0.80789728  0.50000000  1.0
  Ir  Ir30  1  0.19210272  0.82065561  0.50000000  1.0
  Ir  Ir31  1  0.17934439  0.37144711  0.50000000  1.0
  Ir  Ir32  1  0.37144711  0.17934439  0.50000000  1.0
  Ir  Ir33  1  0.80789728  0.62855289  0.50000000  1.0
  Ir  Ir34  1  0.82065561  0.19210272  0.50000000  1.0
  Ir  Ir35  1  0.00000000  0.00000000  0.50000000  1.0
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