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Yb4Pr16Ga5Sn7

High-Entropy Materials HEA

MP-ID: mp-3292918 · Space group: Pm (#6)

Basic Information

Formula
Yb4Pr16Ga5Sn7
MP-ID
mp-3292918
Elements
4
Sites
32
Density
7.0794
g/cm³
Volume
967.85
ų
Cell a
8.1773
Å
Cell b
8.1719
Å
Cell c
14.4836
Å
α Angle
90.01
°
β Angle
89.99
°
γ Angle
90.04
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
Stability
No
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
12.22 7.2418 20.6 (0,0,2)
15.32 5.7824 6.8 (1,-1,0)
15.33 5.7783 7.2 (1,1,0)
21.75 4.0859 1.1 (0,2,0)
25.01 3.5607 8.9 (2,0,2)
25.01 3.5601 8.9 (2,0,-2)
25.02 3.5588 10.2 (0,2,-2)
25.02 3.5584 10.2 (0,2,2)
25.11 3.5464 8.5 (2,-1,1)
25.11 3.5461 8.4 (2,-1,-1)
25.12 3.5451 7.8 (1,-2,1)
25.12 3.5447 7.7 (1,-2,-1)
25.12 3.5444 9.5 (2,1,1)
25.13 3.5443 9.5 (2,1,-1)
25.13 3.5431 8.8 (1,2,-1)
25.14 3.5430 8.8 (1,2,1)
29.09 3.0692 36.9 (1,-1,4)
29.10 3.0686 37.0 (1,-1,-4)
29.10 3.0683 29.3 (1,1,4)
29.10 3.0682 29.2 (1,1,-4)
30.66 2.9157 78.5 (2,-1,3)
30.67 2.9151 78.5 (2,-1,-3)
30.67 2.9150 77.9 (1,-2,3)
30.68 2.9145 78.9 (2,1,3)
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Energy Properties

Formation Energy/atom
-0.68985
eV/atom
Energy/atom
-27.15916
eV/atom
Energy above Hull
0.0035
eV/atom
Uncorrected Energy
-27.1592
eV/atom
Volume/atom
30.25
ų
c/a Ratio
1.7712

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
3.2385
μB
Mag. Ordering
FiM
Mag. Sites
16
Magnetization/Volume
0.003350
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
1.2290
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.2180
J/mol·K
Ω Parameter
67.1846
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.626%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3773
smaller = more stable mixing
VEC
4.594
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.137
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8865
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292918
Reference Citation

The crystal structure and related material properties of Yb4Pr16Ga5Sn7 were obtained from the Materials Project database (MP-ID: mp-3292918, 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_Yb4Pr16Ga5Sn7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.17732302
_cell_length_b   8.17188651
_cell_length_c   14.48358376
_cell_angle_alpha   90.00878423
_cell_angle_beta   89.99023796
_cell_angle_gamma   90.04074321
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Yb4Pr16Ga5Sn7
_chemical_formula_sum   'Yb4 Pr16 Ga5 Sn7'
_cell_volume   967.85298585
_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
  Yb  Yb0  1  0.99355886  0.49660287  0.74862502  1.0
  Yb  Yb1  1  0.00485931  0.50182434  0.24857477  1.0
  Yb  Yb2  1  0.49745802  0.99512460  0.25149877  1.0
  Yb  Yb3  1  0.50672536  0.99709886  0.75128286  1.0
  Pr  Pr4  1  0.82271809  0.82731272  0.60516593  1.0
  Pr  Pr5  1  0.16832697  0.83168880  0.10770175  1.0
  Pr  Pr6  1  0.16704642  0.83076427  0.39242047  1.0
  Pr  Pr7  1  0.83603835  0.16363746  0.39508066  1.0
  Pr  Pr8  1  0.67446500  0.67739976  0.39307068  1.0
  Pr  Pr9  1  0.67497754  0.32860176  0.60387235  1.0
  Pr  Pr10  1  0.33557538  0.67109348  0.60030877  1.0
  Pr  Pr11  1  0.67320333  0.67838345  0.10700859  1.0
  Pr  Pr12  1  0.67597978  0.32984076  0.89609926  1.0
  Pr  Pr13  1  0.82379724  0.82618450  0.89493050  1.0
  Pr  Pr14  1  0.32242444  0.32783074  0.39276171  1.0
  Pr  Pr15  1  0.16733089  0.17082794  0.60204783  1.0
  Pr  Pr16  1  0.83526950  0.16269271  0.10482632  1.0
  Pr  Pr17  1  0.33446649  0.67053742  0.89967383  1.0
  Pr  Pr18  1  0.32343982  0.32664776  0.10716064  1.0
  Pr  Pr19  1  0.16633909  0.17162770  0.89783533  1.0
  Ga  Ga20  1  0.37588307  0.62458974  0.25008084  1.0
  Ga  Ga21  1  0.88074740  0.88129954  0.24997215  1.0
  Ga  Ga22  1  0.62358505  0.62412532  0.74999705  1.0
  Ga  Ga23  1  0.87544365  0.12434886  0.75002782  1.0
  Ga  Ga24  1  0.11882316  0.11972670  0.25001523  1.0
  Sn  Sn25  1  0.62313220  0.37743433  0.24999639  1.0
  Sn  Sn26  1  0.12307505  0.87645174  0.74991287  1.0
  Sn  Sn27  1  0.37751484  0.37802378  0.75002215  1.0
  Sn  Sn28  1  0.99985958  0.50140014  0.49980943  1.0
  Sn  Sn29  1  0.49883045  0.00266201  0.49880466  1.0
  Sn  Sn30  1  0.49904238  0.00282372  0.00024839  1.0
  Sn  Sn31  1  0.00006329  0.50139224  0.00116598  1.0
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