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Dy17Er3Sn7Pb9

High-Entropy Materials HEA

MP-ID: mp-3296211 · Space group: Pm (#6)

Basic Information

Formula
Dy17Er3Sn7Pb9
MP-ID
mp-3296211
Elements
4
Sites
36
Density
9.6655
g/cm³
Volume
1,023.94
ų
Cell a
8.1040
Å
Cell b
8.1706
Å
Cell c
15.4640
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.10
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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
5.72 15.4640 1.2 (0,0,1)
15.39 5.7590 3.8 (1,-1,0)
15.41 5.7486 2.1 (1,1,0)
16.43 5.3969 4.6 (1,-1,1)
16.45 5.3884 2.0 (1,1,1)
19.24 4.6133 1.2 (1,1,2)
21.75 4.0853 9.4 (0,2,0)
21.94 4.0520 11.8 (2,0,0)
22.69 3.9197 1.7 (2,0,1)
23.16 3.8408 5.4 (1,-1,3)
23.18 3.8378 7.6 (1,1,3)
24.38 3.6506 1.4 (1,-2,0)
24.42 3.6454 1.6 (1,2,0)
24.50 3.6327 8.4 (2,-1,0)
24.54 3.6275 7.9 (2,1,0)
24.65 3.6121 8.7 (0,2,2)
24.81 3.5890 6.4 (2,0,2)
25.06 3.5530 6.0 (1,-2,1)
25.10 3.5481 7.4 (1,2,1)
25.18 3.5365 1.8 (2,-1,1)
25.22 3.5317 3.8 (2,1,1)
27.01 3.3012 2.7 (1,-2,2)
27.04 3.2973 1.9 (1,2,2)
27.12 3.2879 14.1 (2,-1,2)
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Energy Properties

Formation Energy/atom
-0.79865
eV/atom
Energy/atom
-37.61133
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-37.6113
eV/atom
Volume/atom
28.44
ų
c/a Ratio
1.9082

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0546
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000050
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Dy · 0.472
Element Family
Lanthanide
Solute Fraction
0.528
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2264
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.1962
J/mol·K
Ω Parameter
62.4984
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
5.576%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4853
smaller = more stable mixing
VEC
7.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.194
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8846
SS Former
1
Phase Tendency
SS

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296211
Reference Citation

The crystal structure and related material properties of Dy17Er3Sn7Pb9 were obtained from the Materials Project database (MP-ID: mp-3296211, 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_Dy17Er3Sn7Pb9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.10403445
_cell_length_b   8.17061082
_cell_length_c   15.46398700
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.10324334
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Dy17Er3Sn7Pb9
_chemical_formula_sum   'Dy17 Er3 Sn7 Pb9'
_cell_volume   1023.94486893
_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
  Dy  Dy0  1  0.37975410  0.84073689  0.87837603  1.0
  Dy  Dy1  1  0.88012662  0.65882516  0.62199210  1.0
  Dy  Dy2  1  0.61984597  0.15876215  0.37921007  1.0
  Dy  Dy3  1  0.12038599  0.33977315  0.12120673  1.0
  Dy  Dy4  1  0.61984597  0.15876215  0.12078993  1.0
  Dy  Dy5  1  0.12038599  0.33977315  0.37879327  1.0
  Dy  Dy6  1  0.37975410  0.84073689  0.62162397  1.0
  Dy  Dy7  1  0.88012662  0.65882516  0.87800790  1.0
  Dy  Dy8  1  0.53706026  0.32482249  0.89595681  1.0
  Dy  Dy9  1  0.03750904  0.17488138  0.60385675  1.0
  Dy  Dy10  1  0.46490519  0.67560730  0.39753138  1.0
  Dy  Dy11  1  0.96149008  0.82690629  0.10132707  1.0
  Dy  Dy12  1  0.46490519  0.67560730  0.10246862  1.0
  Dy  Dy13  1  0.96149008  0.82690629  0.39867293  1.0
  Dy  Dy14  1  0.53706026  0.32482249  0.60404319  1.0
  Dy  Dy15  1  0.03750904  0.17488138  0.89614325  1.0
  Dy  Dy16  1  0.78510960  0.49551051  0.25000000  1.0
  Er  Er17  1  0.21311221  0.50326142  0.75000000  1.0
  Er  Er18  1  0.71295852  0.99651685  0.75000000  1.0
  Er  Er19  1  0.28813367  0.00567568  0.25000000  1.0
  Sn  Sn20  1  0.57670050  0.62337313  0.75000000  1.0
  Sn  Sn21  1  0.07695701  0.87669336  0.75000000  1.0
  Sn  Sn22  1  0.42312841  0.37497080  0.25000000  1.0
  Sn  Sn23  1  0.92299418  0.12175663  0.25000000  1.0
  Sn  Sn24  1  0.34545144  0.14727892  0.75000000  1.0
  Sn  Sn25  1  0.84589052  0.35205046  0.75000000  1.0
  Sn  Sn26  1  0.65473603  0.85331281  0.25000000  1.0
  Pb  Pb27  1  0.27899273  0.03182021  0.04250963  1.0
  Pb  Pb28  1  0.77944974  0.46746136  0.45791923  1.0
  Pb  Pb29  1  0.72093930  0.96801728  0.54352545  1.0
  Pb  Pb30  1  0.22124107  0.53167313  0.95713129  1.0
  Pb  Pb31  1  0.72093930  0.96801728  0.95647455  1.0
  Pb  Pb32  1  0.22124107  0.53167313  0.54286871  1.0
  Pb  Pb33  1  0.27899273  0.03182021  0.45749037  1.0
  Pb  Pb34  1  0.77944974  0.46746136  0.04208077  1.0
  Pb  Pb35  1  0.15142075  0.65102486  0.25000000  1.0
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