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La4Pr4ZnPd24

高熵材料 HEA

MP-ID: mp-3293422 · Space group: Cm (#8)

Basic Information

Formula
La4Pr4ZnPd24
MP-ID
mp-3293422
Elements
4
Sites
33
Density
10.1602
g/cm³
Volume
611.05
ų
Cell a
8.4840
Å
Cell b
8.4867
Å
Cell c
8.4867
Å
α Angle
89.98
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Cm
Point Group
m
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
29.77 3.0010 1.1 (0,2,2)
29.78 3.0002 2.2 (2,0,-2)
29.78 2.9999 1.1 (0,2,-2)
29.78 2.9999 2.2 (2,2,0)
31.63 2.8289 1.5 (0,3,0)
36.68 2.4501 50.1 (2,-2,-2)
36.68 2.4498 50.0 (2,2,2)
36.69 2.4493 100.0 (2,2,-2)
38.23 2.3542 1.0 (0,3,2)
38.24 2.3535 1.0 (2,3,0)
38.24 2.3534 1.0 (0,3,-2)
38.25 2.3532 1.0 (3,2,0)
42.61 2.1217 69.8 (0,4,0)
42.63 2.1210 34.9 (4,0,0)
61.83 1.5005 10.4 (0,4,4)
61.85 1.5001 20.9 (4,0,-4)
61.86 1.5000 10.4 (0,4,-4)
61.86 1.4999 20.8 (4,4,0)
74.10 1.2795 10.7 (2,-2,-6)
74.10 1.2795 10.6 (2,6,2)
74.12 1.2793 10.7 (2,2,-6)
74.12 1.2792 10.7 (2,6,-2)
74.12 1.2792 5.3 (6,-2,-2)
74.13 1.2791 5.3 (6,2,2)
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Energy Properties

Formation Energy/atom
-0.82044
eV/atom
Energy/atom
-24.95851
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-24.9585
eV/atom
Volume/atom
18.52
ų
c/a Ratio
1.0003

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

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pd · 0.727
Element Family
4d-TM
Solute Fraction
0.273
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.8491
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.0596
J/mol·K
Ω Parameter
0.4676
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.293%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4652
smaller = more stable mixing
VEC
8.364
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-24.783
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6125
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293422
Reference Citation

The crystal structure and related material properties of La4Pr4ZnPd24 were obtained from the Materials Project database (MP-ID: mp-3293422, 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_La4Pr4ZnPd24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.48400150
_cell_length_b   8.48665307
_cell_length_c   8.48665307
_cell_angle_alpha   89.97892478
_cell_angle_beta   90.00496151
_cell_angle_gamma   90.00496151
_symmetry_Int_Tables_number   1
_chemical_formula_structural   La4Pr4ZnPd24
_chemical_formula_sum   'La4 Pr4 Zn1 Pd24'
_cell_volume   611.04557187
_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
  La  La0  1  0.25057269  0.25105093  0.75003617  1.0
  La  La1  1  0.25057269  0.75003617  0.25105093  1.0
  La  La2  1  0.25110401  0.74868931  0.74868931  1.0
  La  La3  1  0.74961640  0.25095320  0.25095320  1.0
  Pr  Pr4  1  0.25054299  0.24999672  0.24999672  1.0
  Pr  Pr5  1  0.75013420  0.75067040  0.75067040  1.0
  Pr  Pr6  1  0.74983657  0.74936603  0.24984941  1.0
  Pr  Pr7  1  0.74983657  0.24984941  0.74936603  1.0
  Zn  Zn8  1  0.99857639  0.99959429  0.99959429  1.0
  Pd  Pd9  1  0.26145611  0.50013895  0.00085176  1.0
  Pd  Pd10  1  0.73851082  0.50011716  0.99910205  1.0
  Pd  Pd11  1  0.00051016  0.26147055  0.50014674  1.0
  Pd  Pd12  1  0.50014017  0.26144762  0.99992343  1.0
  Pd  Pd13  1  0.99888227  0.73836757  0.50007327  1.0
  Pd  Pd14  1  0.50004724  0.73845514  0.99996528  1.0
  Pd  Pd15  1  0.50014017  0.99992343  0.26144762  1.0
  Pd  Pd16  1  0.26145611  0.00085176  0.50013895  1.0
  Pd  Pd17  1  0.50004724  0.99996528  0.73845514  1.0
  Pd  Pd18  1  0.73851082  0.99910205  0.50011716  1.0
  Pd  Pd19  1  0.00051016  0.50014674  0.26147055  1.0
  Pd  Pd20  1  0.99888227  0.50007327  0.73836757  1.0
  Pd  Pd21  1  0.25363946  0.49963068  0.49963068  1.0
  Pd  Pd22  1  0.74645246  0.50044658  0.50044658  1.0
  Pd  Pd23  1  0.49993841  0.25358240  0.50002789  1.0
  Pd  Pd24  1  0.50085053  0.74636936  0.50009464  1.0
  Pd  Pd25  1  0.49993841  0.50002789  0.25358240  1.0
  Pd  Pd26  1  0.50085053  0.50009464  0.74636936  1.0
  Pd  Pd27  1  0.29580228  0.00008252  0.00008252  1.0
  Pd  Pd28  1  0.70256412  0.99992552  0.99992552  1.0
  Pd  Pd29  1  0.00010069  0.29637707  0.00015160  1.0
  Pd  Pd30  1  0.99993720  0.70319830  0.99984745  1.0
  Pd  Pd31  1  0.00010069  0.00015160  0.29637707  1.0
  Pd  Pd32  1  0.99993720  0.99984745  0.70319830  1.0
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