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Tm5P12Ru9Rh10

高熵材料 HEA

MP-ID: mp-3293139 · Space group: P-62m (#189)

Basic Information

Formula
Tm5P12Ru9Rh10
MP-ID
mp-3293139
Elements
4
Sites
36
Density
9.9594
g/cm³
Volume
526.04
ų
Cell a
12.4868
Å
Cell b
12.4868
Å
Cell c
3.8958
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
24.28 3.6652 2.9 (1,0,-1,1)
26.98 3.3051 5.2 (2,-1,-1,1)
28.59 3.1217 16.6 (4,-2,-2,0)
29.79 2.9992 1.8 (4,-1,-3,0)
31.73 2.8200 4.9 (3,-1,-2,1)
33.88 2.6458 4.7 (3,0,-3,1)
36.21 2.4809 5.5 (5,-2,-3,0)
36.90 2.4361 100.0 (4,-2,-2,1)
37.86 2.3765 21.4 (4,-1,-3,1)
38.14 2.3598 7.7 (5,-1,-4,0)
38.14 2.3598 3.9 (4,1,-5,0)
40.62 2.2211 1.9 (4,0,-4,1)
41.76 2.1628 3.4 (5,-5,0,0)
41.76 2.1628 1.7 (5,0,-5,0)
43.48 2.0811 3.9 (6,-3,-3,0)
44.32 2.0436 2.6 (6,-2,-4,0)
44.91 2.0184 4.6 (5,-1,-4,1)
46.63 1.9479 20.9 (0,0,0,2)
46.77 1.9422 7.3 (6,-1,-5,0)
48.12 1.8909 4.7 (5,0,-5,1)
49.67 1.8356 4.1 (6,-3,-3,1)
50.65 1.8023 16.6 (6,0,-6,0)
51.40 1.7778 3.2 (7,-3,-4,0)
52.66 1.7382 1.0 (6,-1,-5,1)
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Energy Properties

Formation Energy/atom
-1.07388
eV/atom
Energy/atom
-22.01314
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-22.0131
eV/atom
Volume/atom
14.61
ų
c/a Ratio
0.3120

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0205
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000040
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
P · 0.333
Element Family
Metalloid-Nonmetal
Solute Fraction
0.667
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3428
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.1638
J/mol·K
Ω Parameter
1.3982
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.565%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3382
smaller = more stable mixing
VEC
7.972
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
13.026
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9686
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293139
Reference Citation

The crystal structure and related material properties of Tm5P12Ru9Rh10 were obtained from the Materials Project database (MP-ID: mp-3293139, 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_Tm5P12Ru9Rh10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.48675471
_cell_length_b   12.48675484
_cell_length_c   3.89576425
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000227
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tm5P12Ru9Rh10
_chemical_formula_sum   'Tm5 P12 Ru9 Rh10'
_cell_volume   526.04446547
_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
  Tm  Tm0  1  0.18418745  0.18418745  0.50000000  1.0
  Tm  Tm1  1  0.81581255  0.00000000  0.50000000  1.0
  Tm  Tm2  1  0.00000000  0.81581255  0.50000000  1.0
  Tm  Tm3  1  0.33333300  0.66666700  0.00000000  1.0
  Tm  Tm4  1  0.66666700  0.33333300  0.00000000  1.0
  P  P5  1  0.81839276  0.81839276  0.00000000  1.0
  P  P6  1  0.18160724  0.00000000  0.00000000  1.0
  P  P7  1  0.00000000  0.18160724  0.00000000  1.0
  P  P8  1  0.17182915  0.48364502  0.50000000  1.0
  P  P9  1  0.51635498  0.68818414  0.50000000  1.0
  P  P10  1  0.31181586  0.82817085  0.50000000  1.0
  P  P11  1  0.68818414  0.51635498  0.50000000  1.0
  P  P12  1  0.82817085  0.31181586  0.50000000  1.0
  P  P13  1  0.48364502  0.17182915  0.50000000  1.0
  P  P14  1  0.36835358  0.36835358  0.00000000  1.0
  P  P15  1  0.63164642  1.00000000  0.00000000  1.0
  P  P16  1  1.00000000  0.63164642  0.00000000  1.0
  Ru  Ru17  1  0.71541653  0.71541653  0.50000000  1.0
  Ru  Ru18  1  0.28458347  0.00000000  0.50000000  1.0
  Ru  Ru19  1  0.00000000  0.28458347  0.50000000  1.0
  Ru  Ru20  1  0.36094962  0.48847969  0.50000000  1.0
  Ru  Ru21  1  0.51152031  0.87246893  0.50000000  1.0
  Ru  Ru22  1  0.12753107  0.63905038  0.50000000  1.0
  Ru  Ru23  1  0.87246893  0.51152031  0.50000000  1.0
  Ru  Ru24  1  0.63905038  0.12753107  0.50000000  1.0
  Ru  Ru25  1  0.48847969  0.36094962  0.50000000  1.0
  Rh  Rh26  1  0.54980064  0.54980064  0.00000000  1.0
  Rh  Rh27  1  0.45019936  0.00000000  0.00000000  1.0
  Rh  Rh28  1  0.00000000  0.45019936  0.00000000  1.0
  Rh  Rh29  1  0.18263734  0.37431239  0.00000000  1.0
  Rh  Rh30  1  0.62568761  0.80832394  0.00000000  1.0
  Rh  Rh31  1  0.19167606  0.81736266  0.00000000  1.0
  Rh  Rh32  1  0.80832394  0.62568761  0.00000000  1.0
  Rh  Rh33  1  0.81736266  0.19167606  0.00000000  1.0
  Rh  Rh34  1  0.37431239  0.18263734  0.00000000  1.0
  Rh  Rh35  1  0.00000000  0.00000000  0.00000000  1.0
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