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Sr13Pr7(Si7Ge)2

High-Entropy Materials HEA

MP-ID: mp-3297239 · Space group: P1 (#1)

Basic Information

Formula
Sr13Pr7(Si7Ge)2
MP-ID
mp-3297239
Elements
4
Sites
36
Density
4.2308
g/cm³
Volume
1,045.55
ų
Cell a
8.2271
Å
Cell b
8.2337
Å
Cell c
15.4350
Å
α Angle
90.10
°
β Angle
89.97
°
γ Angle
90.01
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
Triclinic P
Stability
Yes
Packing Fraction
0.5240

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
10.75 8.2271 1.8 (1,0,0)
11.47 7.7175 1.5 (0,0,2)
12.17 7.2700 5.6 (0,1,-1)
12.19 7.2619 3.4 (1,0,1)
15.22 5.8204 21.7 (1,-1,0)
15.23 5.8191 20.0 (1,1,0)
15.72 5.6357 3.8 (0,1,-2)
15.74 5.6303 4.0 (1,0,2)
15.75 5.6258 3.4 (0,1,2)
16.27 5.4491 4.5 (1,-1,1)
16.27 5.4465 5.3 (1,1,-1)
16.28 5.4435 12.1 (1,1,1)
16.28 5.4431 15.0 (1,-1,-1)
17.24 5.1450 1.4 (0,0,3)
19.11 4.6444 1.0 (1,1,2)
19.11 4.6432 3.1 (1,-1,-2)
20.34 4.3667 2.1 (0,1,-3)
20.35 4.3634 3.5 (1,0,3)
20.37 4.3597 1.1 (0,1,3)
21.59 4.1168 8.3 (0,2,0)
21.60 4.1135 11.0 (2,0,0)
22.34 3.9795 11.0 (0,2,-1)
22.36 3.9760 24.9 (0,2,1)
22.36 3.9754 15.2 (2,0,1)
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Energy Properties

Formation Energy/atom
-0.64648
eV/atom
Energy/atom
-16.01586
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.0159
eV/atom
Volume/atom
29.04
ų
c/a Ratio
-

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.7752
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000740
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.389
Element Family
Metalloid-Nonmetal
Solute Fraction
0.611
Interstitial Fraction
0.389

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2141
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0941
J/mol·K
Ω Parameter
52.0713
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
23.997%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4528
smaller = more stable mixing
VEC
3.083
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-0.259
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8758
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3297239
Reference Citation

The crystal structure and related material properties of Sr13Pr7(Si7Ge)2 were obtained from the Materials Project database (MP-ID: mp-3297239, 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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Sr13Pr7(Si7Ge)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.22704878
_cell_length_b   8.23369086
_cell_length_c   15.43497047
_cell_angle_alpha   90.10174339
_cell_angle_beta   89.96602947
_cell_angle_gamma   90.01338986
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sr13Pr7(Si7Ge)2
_chemical_formula_sum   'Sr13 Pr7 Si14 Ge2'
_cell_volume   1045.54723918
_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  0.31097011  0.30815811  0.99937929  1.0
  Sr  Sr1  1  0.18782553  0.81210365  0.25125295  1.0
  Sr  Sr2  1  0.81376281  0.18598370  0.75120776  1.0
  Sr  Sr3  1  0.68740659  0.68814798  0.49925517  1.0
  Sr  Sr4  1  0.36811409  0.01265306  0.45697431  1.0
  Sr  Sr5  1  0.48789159  0.87089757  0.70477303  1.0
  Sr  Sr6  1  0.51078612  0.12982918  0.20650554  1.0
  Sr  Sr7  1  0.86813926  0.48785722  0.29354791  1.0
  Sr  Sr8  1  0.13109316  0.51197875  0.79351931  1.0
  Sr  Sr9  1  0.63168896  0.98631742  0.95649211  1.0
  Sr  Sr10  1  0.01029649  0.37073247  0.54313682  1.0
  Sr  Sr11  1  0.99009313  0.63159316  0.04596834  1.0
  Sr  Sr12  1  0.13295972  0.98556814  0.87432115  1.0
  Pr  Pr13  1  0.50953786  0.62835484  0.12632138  1.0
  Pr  Pr14  1  0.49086513  0.37096652  0.62355661  1.0
  Pr  Pr15  1  0.63186752  0.50932513  0.87500663  1.0
  Pr  Pr16  1  0.37001053  0.48965413  0.37571946  1.0
  Pr  Pr17  1  0.87067143  0.01036382  0.37457960  1.0
  Pr  Pr18  1  0.98915259  0.13071262  0.12594735  1.0
  Pr  Pr19  1  0.00784742  0.87142422  0.62463019  1.0
  Si  Si20  1  0.65143574  0.28744842  0.44364363  1.0
  Si  Si21  1  0.71084846  0.34996659  0.05762689  1.0
  Si  Si22  1  0.28801904  0.65388298  0.55468683  1.0
  Si  Si23  1  0.78875918  0.84825121  0.19575357  1.0
  Si  Si24  1  0.15089228  0.21210047  0.30570985  1.0
  Si  Si25  1  0.83803824  0.78680088  0.80059207  1.0
  Si  Si26  1  0.28341473  0.91295439  0.05913296  1.0
  Si  Si27  1  0.58708271  0.77873510  0.30450588  1.0
  Si  Si28  1  0.42110163  0.22705294  0.80166376  1.0
  Si  Si29  1  0.77654314  0.58388460  0.69372199  1.0
  Si  Si30  1  0.22049700  0.41330943  0.19713752  1.0
  Si  Si31  1  0.72181355  0.08693962  0.55284919  1.0
  Si  Si32  1  0.91104797  0.28570882  0.94856700  1.0
  Si  Si33  1  0.08549669  0.72132688  0.44636153  1.0
  Ge  Ge34  1  0.21125477  0.15552138  0.68887045  1.0
  Ge  Ge35  1  0.35277284  0.70349359  0.94708097  1.0
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