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Sr4Fe3RuO12

High-Entropy Materials HEA

MP-ID: mp-3294801 · Space group: P4/mmm (#123)

Basic Information

Formula
Sr4Fe3RuO12
MP-ID
mp-3294801
Elements
4
Sites
20
Density
5.7575
g/cm³
Volume
233.93
ų
Cell a
5.4973
Å
Cell b
5.4973
Å
Cell c
7.7407
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4/mmm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tP
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 18)
2θd (Å)Ihkl
16.12 5.4973 1.6 (1,0,0)
19.81 4.4820 2.4 (1,0,1)
25.64 3.4738 1.7 (1,1,1)
32.58 2.7486 50.4 (2,0,0)
32.65 2.7427 100.0 (1,1,2)
40.24 2.2410 12.2 (2,0,2)
46.74 1.9436 37.1 (2,2,0)
46.95 1.9352 18.1 (0,0,4)
58.18 1.5858 37.9 (3,1,2)
58.31 1.5824 18.7 (2,0,4)
68.24 1.3743 10.7 (4,0,0)
68.41 1.3713 21.1 (2,2,4)
77.68 1.2292 8.2 (4,2,0)
77.72 1.2287 8.2 (3,3,2)
78.04 1.2245 7.9 (1,1,6)
82.30 1.1716 2.2 (4,2,2)
82.62 1.1679 1.0 (2,0,6)
86.95 1.1205 10.6 (4,0,4)
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Energy Properties

Formation Energy/atom
-2.25302
eV/atom
Energy/atom
-12.29891
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-12.2989
eV/atom
Volume/atom
11.70
ų
c/a Ratio
1.4081

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
9.9973
μB
Mag. Ordering
FiM
Mag. Sites
4
Magnetization/Volume
0.042740
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.600
Element Family
Metalloid-Nonmetal
Solute Fraction
0.400
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0627
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.8356
J/mol·K
Ω Parameter
11.9645
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
54.948%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0312
smaller = more stable mixing
VEC
4.400
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-0.476
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7666
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294801
Reference Citation

The crystal structure and related material properties of Sr4Fe3RuO12 were obtained from the Materials Project database (MP-ID: mp-3294801, 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_Sr4Fe3RuO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.49728646
_cell_length_b   5.49728646
_cell_length_c   7.74073162
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sr4Fe3RuO12
_chemical_formula_sum   'Sr4 Fe3 Ru1 O12'
_cell_volume   233.92613622
_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  0.50000000  0.00000000  0.74461687  1.0
  Sr  Sr1  1  0.00000000  0.50000000  0.25538313  1.0
  Sr  Sr2  1  0.50000000  0.00000000  0.25538313  1.0
  Sr  Sr3  1  0.00000000  0.50000000  0.74461687  1.0
  Fe  Fe4  1  0.00000000  0.00000000  0.00000000  1.0
  Fe  Fe5  1  0.50000000  0.50000000  0.50000000  1.0
  Fe  Fe6  1  0.00000000  0.00000000  0.50000000  1.0
  Ru  Ru7  1  0.50000000  0.50000000  0.00000000  1.0
  O  O8  1  0.00000000  0.00000000  0.74345171  1.0
  O  O9  1  0.50000000  0.50000000  0.25195456  1.0
  O  O10  1  0.75386922  0.75386922  0.50000000  1.0
  O  O11  1  0.25095773  0.25095773  0.00000000  1.0
  O  O12  1  0.75386922  0.24613078  0.50000000  1.0
  O  O13  1  0.25095773  0.74904227  0.00000000  1.0
  O  O14  1  0.00000000  0.00000000  0.25654829  1.0
  O  O15  1  0.50000000  0.50000000  0.74804544  1.0
  O  O16  1  0.24613078  0.24613078  0.50000000  1.0
  O  O17  1  0.74904227  0.74904227  0.00000000  1.0
  O  O18  1  0.24613078  0.75386922  0.50000000  1.0
  O  O19  1  0.74904227  0.25095773  0.00000000  1.0
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