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Ho3P6Ru2Rh7

高熵材料 HEA

MP-ID: mp-3293465 · Space group: Pmm2 (#25)

Basic Information

Formula
Ho3P6Ru2Rh7
MP-ID
mp-3293465
Elements
4
Sites
36
Density
9.7389
g/cm³
Volume
546.68
ų
Cell a
3.9083
Å
Cell b
11.1699
Å
Cell c
12.5226
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pmm2
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
oP
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
7.06 12.5226 1.1 (0,0,1)
23.85 3.7308 1.9 (1,0,1)
24.12 3.6890 1.7 (1,1,0)
25.17 3.5387 1.4 (1,1,1)
26.89 3.3154 1.8 (1,0,2)
27.88 3.2002 11.8 (0,3,2)
28.51 3.1307 8.8 (0,0,4)
28.78 3.1023 5.5 (1,2,1)
31.35 2.8530 1.2 (1,0,3)
32.05 2.7925 1.2 (0,4,0)
32.22 2.7786 3.9 (0,3,3)
32.39 2.7642 2.9 (1,1,3)
32.86 2.7255 2.4 (0,4,1)
34.02 2.6354 2.3 (1,3,1)
35.19 2.5503 4.1 (0,4,2)
35.33 2.5407 2.4 (1,2,3)
35.85 2.5045 2.5 (0,0,5)
36.28 2.4761 100.0 (1,3,2)
36.78 2.4439 1.3 (0,1,5)
36.78 2.4434 35.3 (1,0,4)
37.54 2.3962 5.2 (0,3,4)
37.69 2.3870 9.8 (1,1,4)
38.80 2.3210 2.0 (0,4,3)
39.43 2.2853 8.9 (0,2,5)
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Energy Properties

Formation Energy/atom
-1.15453
eV/atom
Energy/atom
-21.84671
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.8467
eV/atom
Volume/atom
15.19
ų
c/a Ratio
3.2041

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0060
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Rh · 0.389
Element Family
4d-TM
Solute Fraction
0.611
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2763
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.6108
J/mol·K
Ω Parameter
1.4156
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.335%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3760
smaller = more stable mixing
VEC
7.889
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
11.651
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9206
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293465
Reference Citation

The crystal structure and related material properties of Ho3P6Ru2Rh7 were obtained from the Materials Project database (MP-ID: mp-3293465, 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_Ho3P6Ru2Rh7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.90830749
_cell_length_b   11.16991872
_cell_length_c   12.52261994
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho3P6Ru2Rh7
_chemical_formula_sum   'Ho6 P12 Ru4 Rh14'
_cell_volume   546.68094677
_cell_formula_units_Z   2
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  0.00000000  0.50000000  0.52181448  1.0
  Ho  Ho1  1  0.50000000  0.00000000  0.47819754  1.0
  Ho  Ho2  1  0.50000000  0.82055254  0.20635641  1.0
  Ho  Ho3  1  0.50000000  0.17944746  0.20635641  1.0
  Ho  Ho4  1  0.00000000  0.67885914  0.79373325  1.0
  Ho  Ho5  1  0.00000000  0.32114086  0.79373325  1.0
  P  P6  1  0.50000000  0.31431947  0.61611610  1.0
  P  P7  1  0.50000000  0.68568053  0.61611610  1.0
  P  P8  1  0.00000000  0.18933036  0.38253790  1.0
  P  P9  1  0.00000000  0.81066964  0.38253790  1.0
  P  P10  1  0.50000000  0.50000000  0.88366187  1.0
  P  P11  1  0.00000000  0.00000000  0.11658873  1.0
  P  P12  1  0.50000000  0.84383614  0.89302477  1.0
  P  P13  1  0.50000000  0.15616386  0.89302477  1.0
  P  P14  1  0.00000000  0.65616436  0.10681707  1.0
  P  P15  1  0.00000000  0.34383564  0.10681707  1.0
  P  P16  1  0.50000000  0.50000000  0.35284876  1.0
  P  P17  1  0.00000000  0.00000000  0.64808254  1.0
  Ru  Ru18  1  0.00000000  0.50000000  0.98983265  1.0
  Ru  Ru19  1  0.50000000  0.00000000  0.01066431  1.0
  Ru  Ru20  1  0.50000000  0.29565024  0.42947882  1.0
  Ru  Ru21  1  0.50000000  0.70434976  0.42947882  1.0
  Rh  Rh22  1  0.00000000  0.20400307  0.57206763  1.0
  Rh  Rh23  1  0.00000000  0.79599693  0.57206763  1.0
  Rh  Rh24  1  0.50000000  0.87236963  0.71250160  1.0
  Rh  Rh25  1  0.50000000  0.12763037  0.71250160  1.0
  Rh  Rh26  1  0.00000000  0.62740130  0.28652911  1.0
  Rh  Rh27  1  0.00000000  0.37259870  0.28652911  1.0
  Rh  Rh28  1  0.50000000  0.33185671  0.99261055  1.0
  Rh  Rh29  1  0.50000000  0.66814329  0.99261055  1.0
  Rh  Rh30  1  0.00000000  0.16787320  0.00707947  1.0
  Rh  Rh31  1  0.00000000  0.83212680  0.00707947  1.0
  Rh  Rh32  1  0.50000000  0.50000000  0.16647135  1.0
  Rh  Rh33  1  0.00000000  0.00000000  0.83310853  1.0
  Rh  Rh34  1  0.50000000  0.50000000  0.70105221  1.0
  Rh  Rh35  1  0.00000000  0.00000000  0.29997168  1.0
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