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Ca4AlGe2Pd27

High-Entropy Materials HEA

MP-ID: mp-3293122 · Space group: C2/m (#12)

Basic Information

Formula
Ca4AlGe2Pd27
MP-ID
mp-3293122
Elements
4
Sites
34
Density
9.5895
g/cm³
Volume
555.14
ų
Cell a
8.8694
Å
Cell b
8.8694
Å
Cell c
7.0584
Å
α Angle
90.41
°
β Angle
90.41
°
γ Angle
89.00
°
Space Group
C2/m
Point Group
2/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
9.97 8.8678 2.3 (1,0,0)
12.54 7.0581 3.9 (0,0,1)
14.25 6.2164 2.4 (1,-1,0)
16.10 5.5035 3.6 (1,0,1)
18.74 4.7345 13.3 (1,1,-1)
18.93 4.6874 11.7 (1,1,1)
19.02 4.6650 48.5 (1,-1,1)
20.03 4.4339 7.7 (2,0,0)
22.26 3.9938 1.1 (2,1,0)
25.24 3.5290 6.2 (0,0,2)
25.52 3.4902 2.6 (2,1,-1)
25.94 3.4346 3.5 (2,-1,1)
27.26 3.2710 1.0 (1,0,2)
28.21 3.1630 1.5 (2,2,0)
28.72 3.1082 2.4 (2,-2,0)
31.45 2.8446 2.5 (2,-2,1)
31.74 2.8191 4.8 (3,1,0)
32.54 2.7518 1.8 (2,0,2)
32.76 2.7334 4.4 (3,0,-1)
32.93 2.7197 2.6 (3,0,1)
34.14 2.6261 3.7 (3,1,-1)
34.36 2.6099 6.4 (3,1,1)
34.52 2.5983 6.9 (3,-1,-1)
34.63 2.5904 16.8 (3,-1,1)
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Energy Properties

Formation Energy/atom
-0.47154
eV/atom
Energy/atom
-20.54688
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-20.5469
eV/atom
Volume/atom
16.33
ų
c/a Ratio
0.7958

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0054
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pd · 0.794
Element Family
4d-TM
Solute Fraction
0.206
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.7052
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
5.8631
J/mol·K
Ω Parameter
0.3066
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.767%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3911
smaller = more stable mixing
VEC
8.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-32.152
kJ/mol; negative = exothermic mixing
Entropy Norm
0.5087
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293122
Reference Citation

The crystal structure and related material properties of Ca4AlGe2Pd27 were obtained from the Materials Project database (MP-ID: mp-3293122, 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_Ca4AlGe2Pd27
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.86935696
_cell_length_b   8.86935696
_cell_length_c   7.05843577
_cell_angle_alpha   90.41093166
_cell_angle_beta   90.41093166
_cell_angle_gamma   88.99522494
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ca4AlGe2Pd27
_chemical_formula_sum   'Ca4 Al1 Ge2 Pd27'
_cell_volume   555.14188474
_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  0.50934789  0.00934789  0.93649920  1.0
  Ca  Ca1  1  0.99065211  0.49065211  0.06350080  1.0
  Ca  Ca2  1  0.00393500  0.99606500  0.50000000  1.0
  Ca  Ca3  1  0.49606500  0.50393500  0.50000000  1.0
  Al  Al4  1  0.25000000  0.75000000  0.00000000  1.0
  Ge  Ge5  1  0.50525133  0.00525133  0.44948414  1.0
  Ge  Ge6  1  0.99474867  0.49474867  0.55051586  1.0
  Pd  Pd7  1  0.33434860  0.83434860  0.61114058  1.0
  Pd  Pd8  1  0.32915168  0.17208738  0.62595625  1.0
  Pd  Pd9  1  0.67208738  0.82915168  0.62595625  1.0
  Pd  Pd10  1  0.67280548  0.17280548  0.62459355  1.0
  Pd  Pd11  1  0.16565140  0.66565140  0.38885942  1.0
  Pd  Pd12  1  0.17084832  0.32791262  0.37404375  1.0
  Pd  Pd13  1  0.82791262  0.67084832  0.37404375  1.0
  Pd  Pd14  1  0.82719452  0.32719452  0.37540645  1.0
  Pd  Pd15  1  0.49836744  0.76977272  0.25014051  1.0
  Pd  Pd16  1  0.49736961  0.23718330  0.25429724  1.0
  Pd  Pd17  1  0.26977272  0.99836744  0.25014051  1.0
  Pd  Pd18  1  0.73718330  0.99736961  0.25429724  1.0
  Pd  Pd19  1  0.00163256  0.73022728  0.74985949  1.0
  Pd  Pd20  1  0.00263039  0.26281670  0.74570276  1.0
  Pd  Pd21  1  0.23022728  0.50163256  0.74985949  1.0
  Pd  Pd22  1  0.76281670  0.50263039  0.74570276  1.0
  Pd  Pd23  1  0.49761579  0.35478324  0.85792477  1.0
  Pd  Pd24  1  0.48893630  0.66449627  0.86466458  1.0
  Pd  Pd25  1  0.85478324  0.99761579  0.85792477  1.0
  Pd  Pd26  1  0.16449627  0.98893630  0.86466458  1.0
  Pd  Pd27  1  0.00238421  0.14521676  0.14207523  1.0
  Pd  Pd28  1  0.01106370  0.83550373  0.13533542  1.0
  Pd  Pd29  1  0.64521676  0.50238421  0.14207523  1.0
  Pd  Pd30  1  0.33550373  0.51106370  0.13533542  1.0
  Pd  Pd31  1  0.25000000  0.25000000  0.00000000  1.0
  Pd  Pd32  1  0.75000000  0.75000000  0.00000000  1.0
  Pd  Pd33  1  0.75000000  0.25000000  0.00000000  1.0
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