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Sr12Sn5P3Pd8

High-Entropy Materials HEA

MP-ID: mp-3296900 · Space group: Pm (#6)

Basic Information

Formula
Sr12Sn5P3Pd8
MP-ID
mp-3296900
Elements
4
Sites
28
Density
5.9065
g/cm³
Volume
727.94
ų
Cell a
5.9523
Å
Cell b
8.7234
Å
Cell c
14.0194
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
89.83
°
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
6.30 14.0194 1.6 (0,0,1)
11.95 7.4066 1.5 (0,1,1)
12.63 7.0097 44.3 (0,0,2)
14.88 5.9523 56.6 (1,0,0)
16.18 5.4789 1.5 (1,0,1)
16.22 5.4642 1.2 (0,1,2)
18.07 4.9101 1.5 (1,-1,0)
19.11 4.6453 8.4 (1,1,1)
19.15 4.6341 12.5 (1,-1,1)
19.57 4.5372 21.2 (1,0,2)
20.36 4.3617 3.0 (0,2,0)
21.57 4.1193 1.5 (0,1,3)
22.06 4.0289 1.8 (1,1,2)
24.03 3.7033 3.2 (0,2,2)
24.21 3.6757 1.1 (1,0,3)
25.41 3.5048 1.1 (0,0,4)
26.08 3.4169 12.2 (1,2,1)
26.15 3.4080 7.5 (1,-2,1)
26.29 3.3894 1.2 (1,1,3)
27.42 3.2522 1.5 (0,1,4)
27.98 3.1886 17.9 (0,2,3)
28.35 3.1479 3.5 (1,2,2)
29.58 3.0202 9.6 (1,0,4)
30.03 2.9761 7.0 (2,0,0)
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Energy Properties

Formation Energy/atom
-0.88204
eV/atom
Energy/atom
-19.31664
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-19.3166
eV/atom
Volume/atom
26.00
ų
c/a Ratio
2.3553

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0097
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
Sr · 0.429
Element Family
Alkali-AlkEarth
Solute Fraction
0.571
Interstitial Fraction
0.107

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2680
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.5422
J/mol·K
Ω Parameter
2.2695
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
20.329%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5865
smaller = more stable mixing
VEC
4.964
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-5.093
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9147
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296900
Reference Citation

The crystal structure and related material properties of Sr12Sn5P3Pd8 were obtained from the Materials Project database (MP-ID: mp-3296900, 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_Sr12Sn5P3Pd8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.95228996
_cell_length_b   8.72338112
_cell_length_c   14.01935325
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   89.83345046
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sr12Sn5P3Pd8
_chemical_formula_sum   'Sr12 Sn5 P3 Pd8'
_cell_volume   727.93913877
_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
  Sr  Sr0  1  0.14804571  0.38303602  0.60263008  1.0
  Sr  Sr1  1  0.86362448  0.61069879  0.10527546  1.0
  Sr  Sr2  1  0.14162789  0.11052426  0.39133385  1.0
  Sr  Sr3  1  0.86197604  0.90092751  0.89982548  1.0
  Sr  Sr4  1  0.86362448  0.61069879  0.39472454  1.0
  Sr  Sr5  1  0.14804571  0.38303602  0.89736992  1.0
  Sr  Sr6  1  0.86197604  0.90092751  0.60017452  1.0
  Sr  Sr7  1  0.14162789  0.11052426  0.10866615  1.0
  Sr  Sr8  1  0.65326051  0.24065736  0.75000000  1.0
  Sr  Sr9  1  0.34778306  0.74679326  0.25000000  1.0
  Sr  Sr10  1  0.65624240  0.25295314  0.25000000  1.0
  Sr  Sr11  1  0.33801515  0.76097028  0.75000000  1.0
  Sn  Sn12  1  0.64526135  0.24773728  0.49674428  1.0
  Sn  Sn13  1  0.35877452  0.75118404  0.00260870  1.0
  Sn  Sn14  1  0.35877452  0.75118404  0.49739130  1.0
  Sn  Sn15  1  0.64526135  0.24773728  0.00325572  1.0
  Sn  Sn16  1  0.82586833  0.59874164  0.75000000  1.0
  P  P17  1  0.17430322  0.09730696  0.75000000  1.0
  P  P18  1  0.82771369  0.90411820  0.25000000  1.0
  P  P19  1  0.16637154  0.40256536  0.25000000  1.0
  Pd  Pd20  1  0.37442926  0.03659715  0.59193030  1.0
  Pd  Pd21  1  0.62370279  0.96444139  0.09771995  1.0
  Pd  Pd22  1  0.37615685  0.46445001  0.40153991  1.0
  Pd  Pd23  1  0.61162115  0.52835044  0.91759425  1.0
  Pd  Pd24  1  0.62370279  0.96444139  0.40228005  1.0
  Pd  Pd25  1  0.37442926  0.03659715  0.90806970  1.0
  Pd  Pd26  1  0.61162115  0.52835044  0.58240575  1.0
  Pd  Pd27  1  0.37615685  0.46445001  0.09846009  1.0
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