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TbCo3P3Rh2

High-Entropy Materials HEA

MP-ID: mp-3292130 · Space group: Pnma (#62)

Basic Information

Formula
TbCo3P3Rh2
MP-ID
mp-3292130
Elements
4
Sites
36
Density
9.0300
g/cm³
Volume
466.68
ų
Cell a
3.7337
Å
Cell b
10.3729
Å
Cell c
12.0498
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pnma
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oP
Stability
No
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
11.26 7.8613 2.3 (0,1,1)
14.70 6.0249 1.3 (0,0,2)
18.63 4.7639 3.5 (0,2,1)
22.62 3.9307 2.2 (0,2,2)
25.35 3.5131 3.1 (1,1,0)
26.43 3.3727 10.3 (1,1,1)
28.10 3.1756 1.6 (0,2,3)
28.12 3.1737 1.3 (1,0,2)
29.66 3.0125 9.3 (0,0,4)
29.79 2.9989 9.7 (0,3,2)
30.42 2.9387 5.3 (1,2,1)
30.91 2.8929 1.9 (0,1,4)
33.90 2.6443 5.2 (1,1,3)
34.59 2.5932 1.3 (0,4,0)
35.38 2.5369 1.5 (1,3,0)
35.41 2.5352 9.1 (0,4,1)
37.17 2.4190 23.9 (1,2,3)
37.77 2.3820 2.0 (0,4,2)
38.34 2.3474 9.1 (0,1,5)
38.39 2.3445 40.3 (1,0,4)
38.50 2.3381 100.0 (1,3,2)
39.40 2.2868 10.3 (1,1,4)
39.68 2.2713 4.0 (0,3,4)
41.31 2.1855 3.5 (0,2,5)
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Energy Properties

Formation Energy/atom
-0.88967
eV/atom
Energy/atom
-17.13498
eV/atom
Energy above Hull
0.0072
eV/atom
Uncorrected Energy
-17.1350
eV/atom
Volume/atom
12.96
ų
c/a Ratio
3.2273

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0013
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Co · 0.333
Element Family
3d-TM
Solute Fraction
0.667
Interstitial Fraction
0.333

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3108
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.8979
J/mol·K
Ω Parameter
2.6548
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.962%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3522
smaller = more stable mixing
VEC
7.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
5.637
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9455
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292130
Reference Citation

The crystal structure and related material properties of TbCo3P3Rh2 were obtained from the Materials Project database (MP-ID: mp-3292130, 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_TbCo3P3Rh2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.73371805
_cell_length_b   10.37289052
_cell_length_c   12.04981345
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   TbCo3P3Rh2
_chemical_formula_sum   'Tb4 Co12 P12 Rh8'
_cell_volume   466.68263029
_cell_formula_units_Z   4
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  0.25000000  0.58263302  0.71005158  1.0
  Tb  Tb1  1  0.25000000  0.91736698  0.21005158  1.0
  Tb  Tb2  1  0.75000000  0.41736698  0.28994842  1.0
  Tb  Tb3  1  0.75000000  0.08263302  0.78994842  1.0
  Co  Co4  1  0.25000000  0.22605474  0.17459684  1.0
  Co  Co5  1  0.25000000  0.27394526  0.67459684  1.0
  Co  Co6  1  0.75000000  0.77394526  0.82540316  1.0
  Co  Co7  1  0.75000000  0.72605474  0.32540316  1.0
  Co  Co8  1  0.25000000  0.88002569  0.69848699  1.0
  Co  Co9  1  0.25000000  0.61997431  0.19848699  1.0
  Co  Co10  1  0.75000000  0.11997431  0.30151301  1.0
  Co  Co11  1  0.75000000  0.38002569  0.80151301  1.0
  Co  Co12  1  0.25000000  0.46149227  0.93316041  1.0
  Co  Co13  1  0.25000000  0.03850773  0.43316041  1.0
  Co  Co14  1  0.75000000  0.53850773  0.06683959  1.0
  Co  Co15  1  0.75000000  0.96149227  0.56683959  1.0
  P  P16  1  0.25000000  0.42747401  0.11173533  1.0
  P  P17  1  0.25000000  0.07252599  0.61173533  1.0
  P  P18  1  0.75000000  0.57252599  0.88826467  1.0
  P  P19  1  0.75000000  0.92747401  0.38826467  1.0
  P  P20  1  0.25000000  0.27449255  0.85854522  1.0
  P  P21  1  0.25000000  0.22550745  0.35854522  1.0
  P  P22  1  0.75000000  0.72550745  0.14145478  1.0
  P  P23  1  0.75000000  0.77449255  0.64145478  1.0
  P  P24  1  0.25000000  0.60514926  0.38067509  1.0
  P  P25  1  0.25000000  0.89485074  0.88067509  1.0
  P  P26  1  0.75000000  0.39485074  0.61932491  1.0
  P  P27  1  0.75000000  0.10514926  0.11932491  1.0
  Rh  Rh28  1  0.25000000  0.70964310  0.98664169  1.0
  Rh  Rh29  1  0.25000000  0.79035690  0.48664169  1.0
  Rh  Rh30  1  0.75000000  0.29035690  0.01335831  1.0
  Rh  Rh31  1  0.75000000  0.20964310  0.51335831  1.0
  Rh  Rh32  1  0.25000000  0.40504156  0.48198849  1.0
  Rh  Rh33  1  0.25000000  0.09495844  0.98198849  1.0
  Rh  Rh34  1  0.75000000  0.59495844  0.51801151  1.0
  Rh  Rh35  1  0.75000000  0.90504156  0.01801151  1.0
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