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Tb5Yb3(LuRu2)2

高熵材料 HEA

MP-ID: mp-3293808 · Space group: P1 (#1)

Basic Information

Formula
Tb5Yb3(LuRu2)2
MP-ID
mp-3293808
Elements
4
Sites
14
Density
9.7413
g/cm³
Volume
352.51
ų
Cell a
6.3659
Å
Cell b
7.1261
Å
Cell c
8.4283
Å
α Angle
96.39
°
β Angle
111.79
°
γ Angle
89.81
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
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
11.39 7.7708 13.3 (0,0,1)
15.00 5.9059 3.8 (1,0,0)
15.08 5.8757 3.4 (1,0,-1)
19.97 4.4451 14.4 (1,1,0)
20.11 4.4160 17.0 (1,-1,-1)
22.89 3.8854 1.1 (0,0,2)
25.17 3.5379 4.6 (0,2,0)
26.40 3.3759 6.1 (1,1,1)
26.42 3.3741 3.4 (0,2,-1)
26.59 3.3520 5.7 (1,-1,-2)
28.03 3.1829 9.5 (2,0,-1)
28.82 3.0982 36.5 (1,2,-1)
28.88 3.0916 39.8 (1,-2,0)
28.94 3.0851 37.5 (0,2,1)
29.97 2.9815 18.6 (1,2,0)
30.11 2.9678 17.0 (1,-2,-1)
30.75 2.9073 75.0 (2,1,-1)
30.85 2.8982 77.0 (2,-1,-1)
31.95 2.8012 97.5 (1,0,2)
32.13 2.7860 38.0 (1,-2,1)
32.14 2.7853 78.4 (0,2,-2)
32.14 2.7851 100.0 (1,0,-3)
32.15 2.7845 38.1 (1,2,-2)
32.37 2.7659 37.0 (2,-1,0)
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Energy Properties

Formation Energy/atom
-0.40078
eV/atom
Energy/atom
-32.08493
eV/atom
Energy above Hull
0.0015
eV/atom
Uncorrected Energy
-32.0849
eV/atom
Volume/atom
25.18
ų
c/a Ratio
1.3240

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0081
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Tb · 0.357
Element Family
Lanthanide
Solute Fraction
0.643
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3337
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.0887
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.343%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4850
smaller = more stable mixing
VEC
8.786
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9621
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293808
Reference Citation

The crystal structure and related material properties of Tb5Yb3(LuRu2)2 were obtained from the Materials Project database (MP-ID: mp-3293808, 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_Tb5Yb3(LuRu2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.36594488
_cell_length_b   7.12604531
_cell_length_c   8.42831042
_cell_angle_alpha   96.38519584
_cell_angle_beta   111.79462890
_cell_angle_gamma   89.80749394
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb5Yb3(LuRu2)2
_chemical_formula_sum   'Tb5 Yb3 Lu2 Ru4'
_cell_volume   352.51195893
_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  0.29790676  0.58588235  0.82171088  1.0
  Tb  Tb1  1  0.29598993  0.31602703  0.42848677  1.0
  Tb  Tb2  1  0.70679744  0.68686288  0.57069813  1.0
  Tb  Tb3  1  0.87081556  0.18740885  0.56960593  1.0
  Tb  Tb4  1  0.13635179  0.81279793  0.43000195  1.0
  Yb  Yb5  1  0.51838738  0.08547881  0.82025247  1.0
  Yb  Yb6  1  0.47758433  0.91881070  0.18340288  1.0
  Yb  Yb7  1  0.70378466  0.41519620  0.18357716  1.0
  Lu  Lu8  1  0.06277634  0.24960078  0.00098231  1.0
  Lu  Lu9  1  0.92987071  0.75017901  0.00091436  1.0
  Ru  Ru10  1  0.31506023  0.56669841  0.21093232  1.0
  Ru  Ru11  1  0.67644059  0.43032658  0.77322830  1.0
  Ru  Ru12  1  0.09789367  0.92633502  0.77861236  1.0
  Ru  Ru13  1  0.91033959  0.06839644  0.22759418  1.0
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