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Ca5La4PrRu4

高熵材料 HEA

MP-ID: mp-3295742 · Space group: C2 (#5)

Basic Information

Formula
Ca5La4PrRu4
MP-ID
mp-3295742
Elements
4
Sites
14
Density
5.1771
g/cm³
Volume
417.36
ų
Cell a
9.0646
Å
Cell b
9.0646
Å
Cell c
7.4326
Å
α Angle
84.32
°
β Angle
84.32
°
γ Angle
43.42
°
Space Group
C2
Point Group
2
Crystal System
Monoclinic
Bravais Lattice
mC
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
10.56 8.3738 100.0 (1,1,0)
11.98 7.3902 6.5 (0,0,1)
14.23 6.2253 15.9 (0,1,0)
14.23 6.2253 15.9 (1,0,0)
15.12 5.8594 4.3 (1,1,1)
16.83 5.2694 2.4 (1,1,-1)
18.27 4.8569 15.2 (1,0,1)
19.00 4.6709 65.0 (1,0,-1)
20.70 4.2904 10.7 (2,1,0)
21.22 4.1869 39.2 (2,2,0)
23.10 3.8499 12.3 (2,1,1)
23.28 3.8217 1.4 (2,2,1)
24.84 3.5851 2.7 (1,2,-1)
24.84 3.5851 2.7 (2,1,-1)
25.29 3.5221 2.5 (1,1,2)
25.55 3.4870 1.1 (2,2,-1)
27.40 3.2549 3.0 (1,1,-2)
27.58 3.2343 10.0 (1,0,2)
28.58 3.1237 32.2 (1,0,-2)
29.25 3.0533 53.3 (1,-1,1)
29.82 2.9965 96.0 (3,2,0)
30.51 2.9297 22.9 (2,2,2)
30.61 2.9206 24.3 (2,1,2)
30.72 2.9101 36.7 (2,0,1)
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Energy Properties

Formation Energy/atom
-0.19056
eV/atom
Energy/atom
-20.56718
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-20.5672
eV/atom
Volume/atom
29.81
ų
c/a Ratio
0.8200

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0219
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000050
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ca · 0.357
Element Family
Alkali-AlkEarth
Solute Fraction
0.643
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2721
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.5762
J/mol·K
Ω Parameter
0.8259
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.606%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5201
smaller = more stable mixing
VEC
4.071
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-20.107
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9176
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295742
Reference Citation

The crystal structure and related material properties of Ca5La4PrRu4 were obtained from the Materials Project database (MP-ID: mp-3295742, 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_Ca5La4PrRu4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.06462552
_cell_length_b   9.06462626
_cell_length_c   7.43255779
_cell_angle_alpha   84.31785908
_cell_angle_beta   84.31785796
_cell_angle_gamma   43.41696241
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ca5La4PrRu4
_chemical_formula_sum   'Ca5 La4 Pr1 Ru4'
_cell_volume   417.35523368
_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
  Ca  Ca0  1  0.36382895  0.21729197  0.82228490  1.0
  Ca  Ca1  1  0.78270803  0.63617105  0.67771510  1.0
  Ca  Ca2  1  0.63817117  0.78587397  0.17701508  1.0
  Ca  Ca3  1  0.21412603  0.36182883  0.32298492  1.0
  Ca  Ca4  1  0.56506022  0.43493978  0.75000000  1.0
  La  La5  1  0.00308728  0.81052323  0.90074005  1.0
  La  La6  1  0.18947677  0.99691272  0.59925995  1.0
  La  La7  1  0.00073952  0.18671607  0.09626169  1.0
  La  La8  1  0.81328393  0.99926048  0.40373831  1.0
  Pr  Pr9  1  0.44508854  0.55491146  0.25000000  1.0
  Ru  Ru10  1  0.13016229  0.65939501  0.59312075  1.0
  Ru  Ru11  1  0.34060499  0.86983771  0.90687925  1.0
  Ru  Ru12  1  0.86129232  0.34763005  0.39962748  1.0
  Ru  Ru13  1  0.65236995  0.13870768  0.10037252  1.0
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