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LuThGaRu2

高熵材料 HEA

MP-ID: mp-3251170 · Space group: Imm2 (#44)

Basic Information

Formula
LuThGaRu2
MP-ID
mp-3251170
Elements
4
Sites
5
Density
11.2582
g/cm³
Volume
100.13
ų
Cell a
5.5144
Å
Cell b
5.5144
Å
Cell c
5.5144
Å
α Angle
137.32
°
β Angle
114.48
°
γ Angle
81.40
°
Space Group
Imm2
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
oI
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
18.26 4.8574 6.8 (0,1,-1)
21.25 4.1808 1.6 (1,1,-1)
24.60 3.6182 2.0 (1,0,-1)
26.77 3.3303 26.8 (0,0,1)
26.77 3.3303 26.8 (1,-1,0)
29.95 2.9838 14.7 (1,-1,1)
34.43 2.6049 100.0 (1,1,-2)
35.55 2.5253 37.9 (1,2,-2)
37.01 2.4287 51.1 (0,2,-2)
39.13 2.3020 49.8 (0,1,-2)
39.13 2.3020 16.6 (2,-1,0)
39.36 2.2893 20.4 (2,1,-2)
39.36 2.2893 20.4 (1,2,-1)
43.28 2.0904 13.6 (2,2,-2)
45.18 2.0067 31.6 (1,-1,-1)
49.12 1.8547 1.2 (1,0,-2)
51.26 1.7823 12.7 (1,-1,2)
55.16 1.6652 2.8 (0,0,2)
55.16 1.6652 2.8 (2,-2,0)
56.10 1.6395 9.7 (0,2,-3)
56.10 1.6395 9.7 (2,0,1)
56.87 1.6191 6.4 (0,3,-3)
56.87 1.6191 6.4 (3,0,0)
57.21 1.6103 8.2 (2,3,-3)
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Energy Properties

Formation Energy/atom
-0.61037
eV/atom
Energy/atom
-35.37977
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-35.3798
eV/atom
Volume/atom
20.03
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0000
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ru · 0.400
Element Family
4d-TM
Solute Fraction
0.600
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3322
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.0757
J/mol·K
Ω Parameter
32.9659
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.990%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4102
smaller = more stable mixing
VEC
4.600
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-0.642
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9610
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3251170
Reference Citation

The crystal structure and related material properties of LuThGaRu2 were obtained from the Materials Project database (MP-ID: mp-3251170, 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_LuThGaRu2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.51441037
_cell_length_b   5.51441095
_cell_length_c   5.51441138
_cell_angle_alpha   137.32006884
_cell_angle_beta   114.48439645
_cell_angle_gamma   81.39639922
_symmetry_Int_Tables_number   1
_chemical_formula_structural   LuThGaRu2
_chemical_formula_sum   'Lu1 Th1 Ga1 Ru2'
_cell_volume   100.13069745
_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
  Lu  Lu0  1  0.29571336  0.79571336  0.50000000  1.0
  Th  Th1  1  0.69941916  0.19941916  0.50000000  1.0
  Ga  Ga2  1  0.00775476  0.00775476  0.00000000  1.0
  Ru  Ru3  1  0.25835371  0.49855636  0.75979635  1.0
  Ru  Ru4  1  0.73875901  0.49855636  0.24020365  1.0
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