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Tb16Ho(ErIr4)3

High-Entropy Materials HEA

MP-ID: mp-3292168 · Space group: P-4 (#81)

Basic Information

Formula
Tb16Ho(ErIr4)3
MP-ID
mp-3292168
Elements
4
Sites
32
Density
12.2101
g/cm³
Volume
750.18
ų
Cell a
10.8549
Å
Cell b
10.8549
Å
Cell c
6.3667
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P-4
Point Group
-4
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
11.53 7.6755 2.0 (1,1,0)
16.33 5.4274 7.1 (2,0,0)
23.04 3.8603 37.9 (2,1,1)
23.18 3.8378 7.6 (2,2,0)
28.03 3.1834 2.4 (0,0,2)
29.24 3.0547 9.8 (1,0,2)
29.56 3.0214 76.7 (3,1,1)
32.61 2.7459 20.7 (2,0,2)
32.91 2.7217 64.4 (3,2,1)
33.67 2.6620 80.9 (2,1,2)
35.07 2.5585 10.2 (3,3,0)
36.68 2.4502 1.5 (2,2,2)
36.95 2.4329 86.2 (4,1,1)
37.04 2.4272 100.0 (4,2,0)
37.64 2.3900 37.8 (3,0,2)
38.57 2.3341 63.0 (3,1,2)
39.74 2.2680 26.0 (4,2,1)
41.27 2.1873 21.9 (3,2,2)
42.46 2.1288 5.4 (5,1,0)
43.84 2.0652 26.3 (4,0,2)
44.07 2.0548 3.9 (5,0,1)
44.67 2.0288 2.4 (4,1,2)
45.48 1.9942 3.9 (3,3,2)
46.71 1.9445 44.3 (2,1,3)
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Energy Properties

Formation Energy/atom
-0.91606
eV/atom
Energy/atom
-40.37209
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-40.3721
eV/atom
Volume/atom
23.44
ų
c/a Ratio
0.5865

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0018
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
Tb · 0.500
Element Family
Lanthanide
Solute Fraction
0.500
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0446
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.6849
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.773%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5210
smaller = more stable mixing
VEC
9.344
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7535
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292168
Reference Citation

The crystal structure and related material properties of Tb16Ho(ErIr4)3 were obtained from the Materials Project database (MP-ID: mp-3292168, 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_Tb16Ho(ErIr4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.85484640
_cell_length_b   10.85484640
_cell_length_c   6.36671501
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb16Ho(ErIr4)3
_chemical_formula_sum   'Tb16 Ho1 Er3 Ir12'
_cell_volume   750.17532471
_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  0.29104995  0.08790424  0.38466688  1.0
  Tb  Tb1  1  0.29087712  0.91230992  0.88441004  1.0
  Tb  Tb2  1  0.70912288  0.08769008  0.88441004  1.0
  Tb  Tb3  1  0.70895005  0.91209576  0.38466688  1.0
  Tb  Tb4  1  0.58768821  0.79068564  0.88449904  1.0
  Tb  Tb5  1  0.58781706  0.20922560  0.38461440  1.0
  Tb  Tb6  1  0.41218294  0.79077440  0.38461440  1.0
  Tb  Tb7  1  0.41231179  0.20931436  0.88449904  1.0
  Tb  Tb8  1  0.20922560  0.41218294  0.61538560  1.0
  Tb  Tb9  1  0.20931436  0.58768821  0.11550096  1.0
  Tb  Tb10  1  0.79068564  0.41231179  0.11550096  1.0
  Tb  Tb11  1  0.79077440  0.58781706  0.61538560  1.0
  Tb  Tb12  1  0.91230992  0.70912288  0.11558996  1.0
  Tb  Tb13  1  0.91209576  0.29104995  0.61533312  1.0
  Tb  Tb14  1  0.08790424  0.70895005  0.61533312  1.0
  Tb  Tb15  1  0.08769008  0.29087712  0.11558996  1.0
  Ho  Ho16  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  0.84776229  0.15223224  0.24940058  1.0
  Ir  Ir21  1  0.84776776  0.84776229  0.75059942  1.0
  Ir  Ir22  1  0.15223224  0.15223771  0.75059942  1.0
  Ir  Ir23  1  0.15223771  0.84776776  0.24940058  1.0
  Ir  Ir24  1  0.65206094  0.34841946  0.74970785  1.0
  Ir  Ir25  1  0.65158054  0.65206094  0.25029215  1.0
  Ir  Ir26  1  0.34841946  0.34793906  0.25029215  1.0
  Ir  Ir27  1  0.34793906  0.65158054  0.74970785  1.0
  Ir  Ir28  1  0.50000000  0.00000000  0.12936996  1.0
  Ir  Ir29  1  0.50000000  0.00000000  0.62938731  1.0
  Ir  Ir30  1  0.00000000  0.50000000  0.87063004  1.0
  Ir  Ir31  1  0.00000000  0.50000000  0.37061269  1.0
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