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Ho6Al24Ru7Rh

High-Entropy Materials HEA

MP-ID: mp-3293298 · Space group: C2/m (#12)

Basic Information

Formula
Ho6Al24Ru7Rh
MP-ID
mp-3293298
Elements
4
Sites
38
Density
6.4688
g/cm³
Volume
628.29
ų
Cell a
8.7486
Å
Cell b
8.7572
Å
Cell c
9.4726
Å
α Angle
90.00
°
β Angle
89.86
°
γ Angle
120.03
°
Space Group
C2/m
Point Group
2/m
Crystal System
Monoclinic
Bravais Lattice
mC
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
14.96 5.9236 12.6 (1,0,-1,1)
14.96 5.9231 24.3 (1,-1,0,1)
14.98 5.9151 24.5 (1,-1,0,-1)
15.00 5.9075 12.5 (1,0,-1,-1)
20.28 4.3786 2.6 (1,-2,1,0)
20.30 4.3743 5.0 (2,-1,-1,0)
23.47 3.7907 11.3 (2,-2,0,0)
23.49 3.7870 5.5 (2,0,-2,0)
25.29 3.5211 38.8 (2,-2,0,1)
25.30 3.5198 18.0 (2,0,-2,1)
25.32 3.5177 18.8 (2,-2,0,-1)
25.32 3.5177 18.8 (0,2,-2,-1)
25.35 3.5130 18.6 (2,0,-2,-1)
27.73 3.2173 3.7 (2,-1,-1,2)
27.75 3.2152 4.1 (1,-2,1,2)
27.80 3.2096 1.8 (2,-1,-1,-2)
27.80 3.2096 1.8 (1,1,-2,-2)
30.17 2.9618 31.1 (2,0,-2,2)
30.18 2.9616 59.6 (2,-2,0,2)
30.22 2.9575 30.8 (2,-2,0,-2)
30.22 2.9575 30.8 (0,2,-2,-2)
30.26 2.9537 30.1 (2,0,-2,-2)
30.65 2.9173 4.7 (1,0,-1,3)
30.66 2.9163 9.1 (1,-1,0,3)
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Energy Properties

Formation Energy/atom
-0.75197
eV/atom
Energy/atom
-15.51424
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-15.5142
eV/atom
Volume/atom
16.53
ų
c/a Ratio
1.0828

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
1.2584
μB
Mag. Ordering
FM
Mag. Sites
7
Magnetization/Volume
0.002000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Al · 0.632
Element Family
PostTransition-Noble
Solute Fraction
0.368
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9890
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.2228
J/mol·K
Ω Parameter
2.2915
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.888%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3071
smaller = more stable mixing
VEC
5.342
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-5.033
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7134
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293298
Reference Citation

The crystal structure and related material properties of Ho6Al24Ru7Rh were obtained from the Materials Project database (MP-ID: mp-3293298, 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_Ho6Al24Ru7Rh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.74855331
_cell_length_b   8.75718643
_cell_length_c   9.47262478
_cell_angle_alpha   90.00000063
_cell_angle_beta   89.86137030
_cell_angle_gamma   120.03265490
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho6Al24Ru7Rh
_chemical_formula_sum   'Ho6 Al24 Ru7 Rh1'
_cell_volume   628.28560333
_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  0.80506070  0.19177930  0.74889230  1.0
  Ho  Ho1  1  0.19493930  0.80822070  0.25110770  1.0
  Ho  Ho2  1  0.38821483  0.19410641  0.74959087  1.0
  Ho  Ho3  1  0.61178517  0.80589359  0.25040913  1.0
  Ho  Ho4  1  0.80506070  0.61328240  0.74889230  1.0
  Ho  Ho5  1  0.19493930  0.38671760  0.25110770  1.0
  Al  Al6  1  0.66534127  0.33267013  0.99024318  1.0
  Al  Al7  1  0.33465873  0.66732987  0.00975682  1.0
  Al  Al8  1  0.33317366  0.66658683  0.49062479  1.0
  Al  Al9  1  0.66682634  0.33341317  0.50937521  1.0
  Al  Al10  1  0.83809415  0.16257144  0.42264298  1.0
  Al  Al11  1  0.16190585  0.83742856  0.57735702  1.0
  Al  Al12  1  0.32514643  0.16257271  0.42319611  1.0
  Al  Al13  1  0.16328808  0.83911626  0.92285569  1.0
  Al  Al14  1  0.67485357  0.83742729  0.57680389  1.0
  Al  Al15  1  0.83671192  0.16088374  0.07714431  1.0
  Al  Al16  1  0.83809415  0.67552271  0.42264298  1.0
  Al  Al17  1  0.67526123  0.83763012  0.92307807  1.0
  Al  Al18  1  0.16190585  0.32447729  0.57735702  1.0
  Al  Al19  1  0.32473877  0.16236988  0.07692193  1.0
  Al  Al20  1  0.16328808  0.32417282  0.92285569  1.0
  Al  Al21  1  0.83671192  0.67582718  0.07714431  1.0
  Al  Al22  1  0.43820067  0.56074629  0.75041785  1.0
  Al  Al23  1  0.56179933  0.43925371  0.24958215  1.0
  Al  Al24  1  0.12163066  0.56081633  0.74952812  1.0
  Al  Al25  1  0.87836934  0.43918367  0.25047188  1.0
  Al  Al26  1  0.43820067  0.87745538  0.75041785  1.0
  Al  Al27  1  0.56179933  0.12254462  0.24958215  1.0
  Al  Al28  1  0.99996650  0.99998325  0.74993195  1.0
  Al  Al29  1  0.00003350  0.00001675  0.25006805  1.0
  Ru  Ru30  1  0.50000000  0.50000000  0.00000000  1.0
  Ru  Ru31  1  0.50000000  0.50000000  0.50000000  1.0
  Ru  Ru32  1  0.50000000  0.00000000  0.00000000  1.0
  Ru  Ru33  1  0.00000000  0.50000000  0.50000000  1.0
  Ru  Ru34  1  0.50000000  0.00000000  0.50000000  1.0
  Ru  Ru35  1  0.00000000  0.00000000  0.00000000  1.0
  Ru  Ru36  1  0.00000000  0.00000000  0.50000000  1.0
  Rh  Rh37  1  0.00000000  0.50000000  0.00000000  1.0
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