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Tb5Bi2Ru

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-3294300 · Space group: Pnma (#62)

Basic Information

Formula
Tb5Bi2Ru
MP-ID
mp-3294300
Elements
3
Sites
32
Density
9.6788
g/cm³
Volume
901.51
ų
Cell a
8.0410
Å
Cell b
8.9877
Å
Cell c
12.4741
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
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
14.78 5.9927 1.2 (1,1,0)
18.00 4.9283 2.5 (1,0,2)
19.76 4.4939 2.0 (0,2,0)
22.11 4.0205 6.3 (2,0,0)
23.24 3.8266 2.1 (2,0,1)
23.78 3.7421 2.2 (1,2,1)
24.10 3.6935 7.9 (1,0,3)
25.30 3.5208 2.3 (2,1,1)
26.85 3.3206 10.1 (1,2,2)
28.21 3.1631 2.7 (2,1,2)
28.62 3.1185 1.8 (0,0,4)
30.69 2.9135 100.0 (2,2,1)
30.75 2.9075 54.8 (1,0,4)
30.94 2.8903 16.4 (2,0,3)
31.35 2.8534 90.7 (1,2,3)
31.88 2.8074 11.5 (1,3,0)
32.36 2.7664 4.1 (1,1,4)
32.70 2.7389 2.6 (1,3,1)
33.17 2.7008 46.7 (2,2,2)
33.17 2.7005 1.7 (0,3,2)
34.22 2.6205 19.9 (3,0,1)
34.93 2.5685 1.5 (3,1,0)
35.02 2.5621 21.3 (0,2,4)
35.05 2.5600 5.1 (1,3,2)
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Energy Properties

Formation Energy/atom
-0.74989
eV/atom
Energy/atom
-38.07005
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-38.0701
eV/atom
Volume/atom
28.17
ų
c/a Ratio
1.5513

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
1.2301
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.001360
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Tb · 0.625
Element Family
Lanthanide
Solute Fraction
0.375
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9003
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.4847
J/mol·K
Ω Parameter
3.3444
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.245%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4773
smaller = more stable mixing
VEC
7.875
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
3.313
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8194
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.600
Family
Tb-rich Multi-Component
Matrix Element
Tb · 0.625

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294300
Reference Citation

The crystal structure and related material properties of Tb5Bi2Ru were obtained from the Materials Project database (MP-ID: mp-3294300, 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_Tb5Bi2Ru
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.04096461
_cell_length_b   8.98772948
_cell_length_c   12.47413186
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb5Bi2Ru
_chemical_formula_sum   'Tb20 Bi8 Ru4'
_cell_volume   901.50569284
_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  0.84442699  0.75000000  0.79636729  1.0
  Tb  Tb1  1  0.15557301  0.25000000  0.20363271  1.0
  Tb  Tb2  1  0.34442699  0.25000000  0.70363271  1.0
  Tb  Tb3  1  0.65557301  0.75000000  0.29636729  1.0
  Tb  Tb4  1  0.38007173  0.75000000  0.69125491  1.0
  Tb  Tb5  1  0.61992827  0.25000000  0.30874509  1.0
  Tb  Tb6  1  0.88007173  0.25000000  0.80874509  1.0
  Tb  Tb7  1  0.11992827  0.75000000  0.19125491  1.0
  Tb  Tb8  1  0.94852787  0.75000000  0.50309979  1.0
  Tb  Tb9  1  0.05147213  0.25000000  0.49690021  1.0
  Tb  Tb10  1  0.44852787  0.25000000  0.99690021  1.0
  Tb  Tb11  1  0.55147213  0.75000000  0.00309979  1.0
  Tb  Tb12  1  0.67558547  0.03800869  0.56490558  1.0
  Tb  Tb13  1  0.32441453  0.96199131  0.43509442  1.0
  Tb  Tb14  1  0.17558547  0.96199131  0.93509442  1.0
  Tb  Tb15  1  0.32441453  0.53800869  0.43509442  1.0
  Tb  Tb16  1  0.82441453  0.03800869  0.06490558  1.0
  Tb  Tb17  1  0.67558547  0.46199131  0.56490558  1.0
  Tb  Tb18  1  0.82441453  0.46199131  0.06490558  1.0
  Tb  Tb19  1  0.17558547  0.53800869  0.93509442  1.0
  Bi  Bi20  1  0.57011264  0.49167514  0.82788475  1.0
  Bi  Bi21  1  0.42988736  0.50832486  0.17211525  1.0
  Bi  Bi22  1  0.07011264  0.50832486  0.67211525  1.0
  Bi  Bi23  1  0.42988736  0.99167514  0.17211525  1.0
  Bi  Bi24  1  0.92988736  0.49167514  0.32788475  1.0
  Bi  Bi25  1  0.57011264  0.00832486  0.82788475  1.0
  Bi  Bi26  1  0.92988736  0.00832486  0.32788475  1.0
  Bi  Bi27  1  0.07011264  0.99167514  0.67211525  1.0
  Ru  Ru28  1  0.56909728  0.75000000  0.50920108  1.0
  Ru  Ru29  1  0.43090272  0.25000000  0.49079892  1.0
  Ru  Ru30  1  0.06909728  0.25000000  0.99079892  1.0
  Ru  Ru31  1  0.93090272  0.75000000  0.00920108  1.0
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