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Tb5P12Ru14Rh5

高熵材料 HEA

MP-ID: mp-3293752 · Space group: Pm (#6)

Basic Information

Formula
Tb5P12Ru14Rh5
MP-ID
mp-3293752
Elements
4
Sites
36
Density
9.6266
g/cm³
Volume
534.02
ų
Cell a
12.4631
Å
Cell b
12.5035
Å
Cell c
3.9498
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
119.82
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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
23.98 3.7115 2.6 (0,1,1)
23.99 3.7100 2.7 (1,0,1)
23.99 3.7096 2.6 (1,-1,1)
26.69 3.3403 4.8 (1,1,1)
26.70 3.3392 4.8 (1,-2,1)
26.72 3.3361 4.9 (2,-1,1)
28.52 3.1294 16.2 (2,2,0)
28.56 3.1258 17.0 (2,-4,0)
28.65 3.1158 16.5 (4,-2,0)
29.69 3.0088 1.0 (1,3,0)
29.75 3.0028 1.1 (3,1,0)
29.82 2.9957 1.1 (4,-1,0)
29.85 2.9937 1.1 (4,-3,0)
31.45 2.8444 2.9 (1,2,1)
31.46 2.8433 2.6 (1,-3,1)
31.47 2.8425 2.8 (2,1,1)
31.49 2.8408 2.6 (2,-3,1)
31.52 2.8383 3.2 (3,-1,1)
31.53 2.8376 3.0 (3,-2,1)
33.60 2.6671 5.0 (0,3,1)
33.66 2.6624 4.4 (3,0,1)
33.68 2.6608 4.5 (3,-3,1)
36.10 2.4879 3.0 (2,3,0)
36.13 2.4858 2.6 (3,2,0)
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Energy Properties

Formation Energy/atom
-1.00988
eV/atom
Energy/atom
-21.58715
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.5872
eV/atom
Volume/atom
14.83
ų
c/a Ratio
0.3169

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0046
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
Ru · 0.389
Element Family
4d-TM
Solute Fraction
0.611
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2819
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.6573
J/mol·K
Ω Parameter
1.2805
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.565%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3846
smaller = more stable mixing
VEC
7.278
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
13.787
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9247
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293752
Reference Citation

The crystal structure and related material properties of Tb5P12Ru14Rh5 were obtained from the Materials Project database (MP-ID: mp-3293752, 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_Tb5P12Ru14Rh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.46308980
_cell_length_b   12.50346363
_cell_length_c   3.94980713
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.81860761
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb5P12Ru14Rh5
_chemical_formula_sum   'Tb5 P12 Ru14 Rh5'
_cell_volume   534.01505158
_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
  Tb  Tb0  1  0.18292465  0.18124575  0.50000000  1.0
  Tb  Tb1  1  0.81759700  0.99925900  0.50000000  1.0
  Tb  Tb2  1  0.00098506  0.81699639  0.50000000  1.0
  Tb  Tb3  1  0.33253720  0.66632512  0.00000000  1.0
  Tb  Tb4  1  0.66726590  0.33362278  0.00000000  1.0
  P  P5  1  0.81702241  0.81392296  0.00000000  1.0
  P  P6  1  0.18729538  0.00085109  0.00000000  1.0
  P  P7  1  0.99778907  0.18260941  0.00000000  1.0
  P  P8  1  0.17101241  0.48082464  0.50000000  1.0
  P  P9  1  0.51733340  0.69086360  0.50000000  1.0
  P  P10  1  0.30442079  0.82552010  0.50000000  1.0
  P  P11  1  0.69663094  0.52147157  0.50000000  1.0
  P  P12  1  0.82448236  0.30310334  0.50000000  1.0
  P  P13  1  0.47991688  0.17691418  0.50000000  1.0
  P  P14  1  0.37253677  0.36934947  0.00000000  1.0
  P  P15  1  0.63129900  0.00374257  0.00000000  1.0
  P  P16  1  0.99991245  0.63036341  0.00000000  1.0
  Ru  Ru17  1  0.71256822  0.71483485  0.50000000  1.0
  Ru  Ru18  1  0.28764419  0.00103092  0.50000000  1.0
  Ru  Ru19  1  0.00171711  0.28636916  0.50000000  1.0
  Ru  Ru20  1  0.19362501  0.81582710  0.00000000  1.0
  Ru  Ru21  1  0.80448277  0.62066069  0.00000000  1.0
  Ru  Ru22  1  0.81694544  0.19491780  0.00000000  1.0
  Ru  Ru23  1  0.38035452  0.18526344  0.00000000  1.0
  Ru  Ru24  1  0.36139223  0.48948533  0.50000000  1.0
  Ru  Ru25  1  0.50830339  0.87245477  0.50000000  1.0
  Ru  Ru26  1  0.12414529  0.63487836  0.50000000  1.0
  Ru  Ru27  1  0.87528826  0.50715857  0.50000000  1.0
  Ru  Ru28  1  0.63231661  0.12350814  0.50000000  1.0
  Ru  Ru29  1  0.49198761  0.36959790  0.50000000  1.0
  Ru  Ru30  1  0.00034144  0.99954376  0.00000000  1.0
  Rh  Rh31  1  0.54811647  0.55568173  0.00000000  1.0
  Rh  Rh32  1  0.44670209  0.99730788  0.00000000  1.0
  Rh  Rh33  1  0.00399623  0.44981854  0.00000000  1.0
  Rh  Rh34  1  0.18489194  0.37442868  0.00000000  1.0
  Rh  Rh35  1  0.62421550  0.81024397  0.00000000  1.0
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