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Ho5Co16(P4Ru)3

高熵材料 HEA

MP-ID: mp-3295144 · Space group: P-62m (#189)

Basic Information

Formula
Ho5Co16(P4Ru)3
MP-ID
mp-3295144
Elements
4
Sites
36
Density
8.9495
g/cm³
Volume
453.19
ų
Cell a
11.9034
Å
Cell b
11.9034
Å
Cell c
3.6932
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
14.88 5.9517 1.1 (2,-1,-1,0)
22.82 3.8963 17.9 (3,-1,-2,0)
25.62 3.4768 17.2 (1,0,-1,1)
25.93 3.4362 1.7 (3,0,-3,0)
28.44 3.1381 4.8 (1,-2,1,1)
28.44 3.1381 9.6 (2,-1,-1,1)
30.03 2.9759 19.5 (4,-2,-2,0)
31.29 2.8591 10.3 (4,-1,-3,0)
33.43 2.6804 5.2 (3,-1,-2,1)
35.69 2.5157 18.9 (3,0,-3,1)
38.05 2.3650 3.2 (3,-5,2,0)
38.05 2.3650 6.4 (5,-2,-3,0)
38.86 2.3172 50.0 (2,-4,2,1)
38.86 2.3172 100.0 (4,-2,-2,1)
39.87 2.2608 17.6 (3,-4,1,1)
39.87 2.2608 35.2 (4,-1,-3,1)
40.08 2.2495 29.3 (5,-1,-4,0)
42.79 2.1135 4.3 (4,0,-4,1)
43.91 2.0617 11.0 (5,0,-5,0)
45.55 1.9916 1.5 (5,-2,-3,1)
45.73 1.9839 2.6 (3,-6,3,0)
45.73 1.9839 5.2 (6,-3,-3,0)
46.62 1.9482 3.2 (6,-2,-4,0)
47.32 1.9212 7.9 (5,-1,-4,1)
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Energy Properties

Formation Energy/atom
-0.88774
eV/atom
Energy/atom
-16.45588
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.4559
eV/atom
Volume/atom
12.59
ų
c/a Ratio
0.3103

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
6.2397
μB
Mag. Ordering
FiM
Mag. Sites
18
Magnetization/Volume
0.013770
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Co · 0.444
Element Family
3d-TM
Solute Fraction
0.556
Interstitial Fraction
0.333
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
2.0065
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.082%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3125
smaller = more stable mixing
VEC
7.861
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
6.755
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-3295144
Reference Citation

The crystal structure and related material properties of Ho5Co16(P4Ru)3 were obtained from the Materials Project database (MP-ID: mp-3295144, 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_Ho5Co16(P4Ru)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.90342685
_cell_length_b   11.90342805
_cell_length_c   3.69321707
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000207
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho5Co16(P4Ru)3
_chemical_formula_sum   'Ho5 Co16 P12 Ru3'
_cell_volume   453.18916262
_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  0.66666700  0.33333300  0.00000000  1.0
  Ho  Ho1  1  0.33333300  0.66666700  0.00000000  1.0
  Ho  Ho2  1  0.81430878  0.81430878  0.50000000  1.0
  Ho  Ho3  1  0.18569122  0.00000000  0.50000000  1.0
  Ho  Ho4  1  1.00000000  0.18569122  0.50000000  1.0
  Co  Co5  1  0.87469410  0.36011834  0.50000000  1.0
  Co  Co6  1  0.63988166  0.51457576  0.50000000  1.0
  Co  Co7  1  0.48542424  0.12530590  0.50000000  1.0
  Co  Co8  1  0.36011834  0.87469410  0.50000000  1.0
  Co  Co9  1  0.51457576  0.63988166  0.50000000  1.0
  Co  Co10  1  0.12530590  0.48542424  0.50000000  1.0
  Co  Co11  1  0.80453021  0.18145573  0.00000000  1.0
  Co  Co12  1  0.81854427  0.62307248  0.00000000  1.0
  Co  Co13  1  0.37692752  0.19546979  0.00000000  1.0
  Co  Co14  1  0.18145573  0.80453021  0.00000000  1.0
  Co  Co15  1  0.62307248  0.81854427  0.00000000  1.0
  Co  Co16  1  0.19546979  0.37692752  0.00000000  1.0
  Co  Co17  1  0.28216804  0.28216804  0.50000000  1.0
  Co  Co18  1  0.71783196  1.00000000  0.50000000  1.0
  Co  Co19  1  0.00000000  0.71783196  0.50000000  1.0
  Co  Co20  1  0.00000000  0.00000000  0.00000000  1.0
  P  P21  1  0.68929465  0.16698720  0.50000000  1.0
  P  P22  1  0.83301280  0.52230745  0.50000000  1.0
  P  P23  1  0.47769255  0.31070535  0.50000000  1.0
  P  P24  1  0.16698720  0.68929465  0.50000000  1.0
  P  P25  1  0.52230745  0.83301280  0.50000000  1.0
  P  P26  1  0.31070535  0.47769255  0.50000000  1.0
  P  P27  1  0.18055049  0.18055049  0.00000000  1.0
  P  P28  1  0.81944951  1.00000000  0.00000000  1.0
  P  P29  1  0.00000000  0.81944951  0.00000000  1.0
  P  P30  1  0.63473577  0.63473577  0.00000000  1.0
  P  P31  1  0.36526423  0.00000000  0.00000000  1.0
  P  P32  1  1.00000000  0.36526423  0.00000000  1.0
  Ru  Ru33  1  0.44380084  0.44380084  0.00000000  1.0
  Ru  Ru34  1  0.55619916  0.00000000  0.00000000  1.0
  Ru  Ru35  1  1.00000000  0.55619916  0.00000000  1.0
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