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LuThGaRu2

High-Entropy Materials 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
Orthorhombic I
Stability
Yes
Packing Fraction
0.6800

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 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
-

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

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ru · 0.400
Element Family
4d-TM
Solute Fraction
0.600
Interstitial Fraction
0.000

High-Entropy Alloy Features

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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

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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