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Tb4ErIrRh2

高熵材料 HEA

MP-ID: mp-3294991 · Space group: P-4c2 (#116)

Basic Information

Formula
Tb4ErIrRh2
MP-ID
mp-3294991
Elements
4
Sites
32
Density
10.6616
g/cm³
Volume
748.21
ų
Cell a
10.8461
Å
Cell b
10.8461
Å
Cell c
6.3603
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P-4c2
Point Group
-42m
Crystal System
Tetragonal
Bravais Lattice
tP
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
8.15 10.8461 9.6 (1,0,0)
16.35 5.4230 1.4 (2,0,0)
18.12 4.8958 5.3 (1,1,1)
23.06 3.8569 18.3 (2,1,1)
23.20 3.8347 1.7 (2,2,0)
24.62 3.6154 2.1 (3,0,0)
25.98 3.4298 5.0 (3,1,0)
27.15 3.2840 2.7 (2,2,1)
29.27 3.0517 29.1 (1,0,2)
29.59 3.0189 100.0 (3,1,1)
30.43 2.9376 1.5 (1,1,2)
32.64 2.7433 21.5 (2,0,2)
32.94 2.7194 69.5 (3,2,1)
33.70 2.6595 64.0 (2,1,2)
35.10 2.5564 13.3 (3,3,0)
36.71 2.4479 2.2 (2,2,2)
36.98 2.4309 88.7 (4,1,1)
37.07 2.4253 93.1 (4,2,0)
37.67 2.3878 33.0 (3,0,2)
38.61 2.3320 63.1 (3,1,2)
39.78 2.2661 33.5 (4,2,1)
41.31 2.1854 12.4 (3,2,2)
41.63 2.1692 1.0 (4,3,0)
42.50 2.1271 2.1 (5,1,0)
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Energy Properties

Formation Energy/atom
-0.84637
eV/atom
Energy/atom
-33.27925
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-33.2793
eV/atom
Volume/atom
23.38
ų
c/a Ratio
0.5864

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0109
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
Tb · 0.500
Element Family
Lanthanide
Solute Fraction
0.500
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2130
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0849
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
12.219%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5471
smaller = more stable mixing
VEC
9.375
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8750
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294991
Reference Citation

The crystal structure and related material properties of Tb4ErIrRh2 were obtained from the Materials Project database (MP-ID: mp-3294991, 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_Tb4ErIrRh2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.84607703
_cell_length_b   10.84607703
_cell_length_c   6.36032346
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb4ErIrRh2
_chemical_formula_sum   'Tb16 Er4 Ir4 Rh8'
_cell_volume   748.21183265
_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  0.29059089  0.08980403  0.38586068  1.0
  Tb  Tb1  1  0.29059089  0.91019597  0.88586068  1.0
  Tb  Tb2  1  0.70940911  0.08980403  0.88586068  1.0
  Tb  Tb3  1  0.70940911  0.91019597  0.38586068  1.0
  Tb  Tb4  1  0.58702579  0.78964989  0.88603919  1.0
  Tb  Tb5  1  0.58702579  0.21035011  0.38603919  1.0
  Tb  Tb6  1  0.41297421  0.78964989  0.38603919  1.0
  Tb  Tb7  1  0.41297421  0.21035011  0.88603919  1.0
  Tb  Tb8  1  0.21035011  0.41297421  0.61396081  1.0
  Tb  Tb9  1  0.21035011  0.58702579  0.11396081  1.0
  Tb  Tb10  1  0.78964989  0.41297421  0.11396081  1.0
  Tb  Tb11  1  0.78964989  0.58702579  0.61396081  1.0
  Tb  Tb12  1  0.91019597  0.70940911  0.11413932  1.0
  Tb  Tb13  1  0.91019597  0.29059089  0.61413932  1.0
  Tb  Tb14  1  0.08980403  0.70940911  0.61413932  1.0
  Tb  Tb15  1  0.08980403  0.29059089  0.11413932  1.0
  Er  Er16  1  0.00000000  0.00000000  0.50000000  1.0
  Er  Er17  1  0.00000000  0.00000000  0.00000000  1.0
  Er  Er18  1  0.50000000  0.50000000  0.00000000  1.0
  Er  Er19  1  0.50000000  0.50000000  0.50000000  1.0
  Ir  Ir20  1  0.65309469  0.34690531  0.75000000  1.0
  Ir  Ir21  1  0.65309469  0.65309469  0.25000000  1.0
  Ir  Ir22  1  0.34690531  0.34690531  0.25000000  1.0
  Ir  Ir23  1  0.34690531  0.65309469  0.75000000  1.0
  Rh  Rh24  1  0.84840015  0.15159985  0.25000000  1.0
  Rh  Rh25  1  0.84840015  0.84840015  0.75000000  1.0
  Rh  Rh26  1  0.15159985  0.15159985  0.75000000  1.0
  Rh  Rh27  1  0.15159985  0.84840015  0.25000000  1.0
  Rh  Rh28  1  0.50000000  0.00000000  0.13104439  1.0
  Rh  Rh29  1  0.50000000  0.00000000  0.63104439  1.0
  Rh  Rh30  1  0.00000000  0.50000000  0.86895561  1.0
  Rh  Rh31  1  0.00000000  0.50000000  0.36895561  1.0
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