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CaPr4Ga2Sn

High-Entropy Materials HEA

MP-ID: mp-3292764 · Space group: I4/mcm (#140)

Basic Information

Formula
CaPr4Ga2Sn
MP-ID
mp-3292764
Elements
4
Sites
32
Density
5.9995
g/cm³
Volume
954.19
ų
Cell a
8.1536
Å
Cell b
8.1536
Å
Cell c
14.3529
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
I4/mcm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tI
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
12.33 7.1765 1.7 (0,0,2)
15.37 5.7654 1.2 (1,1,0)
19.75 4.4946 10.4 (1,1,2)
21.80 4.0768 4.4 (2,0,0)
24.81 3.5882 3.5 (0,0,4)
25.20 3.5341 18.5 (2,1,1)
29.32 3.0464 9.8 (1,1,4)
30.83 2.9001 100.0 (2,1,3)
31.02 2.8827 11.9 (2,2,0)
33.26 2.6935 36.2 (2,0,4)
33.50 2.6750 2.4 (2,2,2)
34.79 2.5784 39.3 (3,1,0)
37.05 2.4265 1.6 (3,1,2)
37.60 2.3922 6.2 (0,0,6)
39.97 2.2555 6.7 (2,1,5)
40.38 2.2338 4.1 (3,2,1)
40.84 2.2095 6.1 (1,1,6)
43.88 2.0632 6.1 (2,0,6)
44.30 2.0445 1.1 (3,2,3)
44.44 2.0384 1.8 (4,0,0)
46.30 1.9608 2.1 (4,0,2)
46.35 1.9590 12.6 (4,1,1)
47.30 1.9218 6.8 (3,3,0)
49.90 1.8276 17.8 (4,1,3)
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Energy Properties

Formation Energy/atom
-0.67255
eV/atom
Energy/atom
-22.20829
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-22.2083
eV/atom
Volume/atom
29.82
ų
c/a Ratio
1.7603

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
5.9190
μB
Mag. Ordering
FM
Mag. Sites
8
Magnetization/Volume
0.006200
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pr · 0.500
Element Family
Lanthanide
Solute Fraction
0.500
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2130
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0849
J/mol·K
Ω Parameter
1.6541
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.878%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3708
smaller = more stable mixing
VEC
3.000
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-5.379
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8750
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292764
Reference Citation

The crystal structure and related material properties of CaPr4Ga2Sn were obtained from the Materials Project database (MP-ID: mp-3292764, 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_CaPr4Ga2Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.15356325
_cell_length_b   8.15356325
_cell_length_c   14.35292295
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   CaPr4Ga2Sn
_chemical_formula_sum   'Ca4 Pr16 Ga8 Sn4'
_cell_volume   954.19083940
_cell_formula_units_Z   4
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  0.00000000  0.50000000  0.74953173  1.0
  Ca  Ca1  1  0.00000000  0.50000000  0.24953173  1.0
  Ca  Ca2  1  0.50000000  0.00000000  0.25046827  1.0
  Ca  Ca3  1  0.50000000  0.00000000  0.75046827  1.0
  Pr  Pr4  1  0.82913894  0.82939832  0.60595012  1.0
  Pr  Pr5  1  0.17086106  0.82939832  0.10595012  1.0
  Pr  Pr6  1  0.17060168  0.82913894  0.39404988  1.0
  Pr  Pr7  1  0.82939832  0.17086106  0.39404988  1.0
  Pr  Pr8  1  0.67086106  0.67060168  0.39404988  1.0
  Pr  Pr9  1  0.67060168  0.32913894  0.60595012  1.0
  Pr  Pr10  1  0.32939832  0.67086106  0.60595012  1.0
  Pr  Pr11  1  0.67060168  0.67086106  0.10595012  1.0
  Pr  Pr12  1  0.67086106  0.32939832  0.89404988  1.0
  Pr  Pr13  1  0.82939832  0.82913894  0.89404988  1.0
  Pr  Pr14  1  0.32913894  0.32939832  0.39404988  1.0
  Pr  Pr15  1  0.17086106  0.17060168  0.60595012  1.0
  Pr  Pr16  1  0.82913894  0.17060168  0.10595012  1.0
  Pr  Pr17  1  0.32913894  0.67060168  0.89404988  1.0
  Pr  Pr18  1  0.32939832  0.32913894  0.10595012  1.0
  Pr  Pr19  1  0.17060168  0.17086106  0.89404988  1.0
  Ga  Ga20  1  0.61761975  0.38238025  0.25000000  1.0
  Ga  Ga21  1  0.11761975  0.88238025  0.75000000  1.0
  Ga  Ga22  1  0.38238025  0.38238025  0.75000000  1.0
  Ga  Ga23  1  0.38238025  0.61761975  0.25000000  1.0
  Ga  Ga24  1  0.88238025  0.88238025  0.25000000  1.0
  Ga  Ga25  1  0.61761975  0.61761975  0.75000000  1.0
  Ga  Ga26  1  0.88238025  0.11761975  0.75000000  1.0
  Ga  Ga27  1  0.11761975  0.11761975  0.25000000  1.0
  Sn  Sn28  1  0.00000000  0.50000000  0.50001828  1.0
  Sn  Sn29  1  0.50000000  0.00000000  0.49998172  1.0
  Sn  Sn30  1  0.50000000  0.00000000  0.99998172  1.0
  Sn  Sn31  1  0.00000000  0.50000000  0.00001828  1.0
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