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Ba4Fe9O20

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1182448 · Space group: C2/m (#12)

Basic Information

Formula
Ba4Fe9O20
MP-ID
mp-1182448
Elements
3
Sites
33
Density
5.0579
g/cm³
Volume
450.40
ų
Cell a
5.9754
Å
Cell b
5.9754
Å
Cell c
14.5480
Å
α Angle
89.46
°
β Angle
89.46
°
γ Angle
60.13
°
Space Group
C2/m
Point Group
2/m
Crystal System
Monoclinic
Bravais Lattice
Monoclinic C
Stability
No
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
6.08 14.5471 8.6 (0,0,0,1)
12.17 7.2736 2.0 (0,0,0,2)
17.11 5.1815 2.9 (1,0,-1,0)
17.15 5.1712 1.4 (1,1,-2,0)
18.14 4.8895 12.1 (1,0,-1,1)
18.21 4.8728 1.9 (1,0,-1,-1)
18.27 4.8559 5.5 (1,1,-2,-1)
20.97 4.2363 14.9 (1,1,-2,2)
21.11 4.2094 27.4 (1,0,-1,-2)
24.48 3.6368 37.3 (0,0,0,4)
25.04 3.5564 18.3 (1,1,-2,3)
25.08 3.5501 6.4 (1,0,-1,3)
25.22 3.5310 35.9 (1,0,-1,-3)
25.31 3.5183 3.1 (1,1,-2,-3)
29.85 2.9935 50.4 (1,-1,0,0)
29.88 2.9900 1.3 (1,1,-2,4)
29.91 2.9875 100.0 (2,1,-3,0)
29.94 2.9843 44.2 (1,0,-1,4)
30.10 2.9692 1.7 (1,0,-1,-4)
30.20 2.9598 21.2 (1,1,-2,-4)
30.49 2.9321 6.7 (1,-1,0,1)
30.49 2.9319 5.5 (2,1,-3,1)
30.61 2.9211 8.1 (2,1,-3,-1)
30.73 2.9094 17.7 (0,0,0,5)
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Energy Properties

Formation Energy/atom
-1.86509
eV/atom
Energy/atom
-7.40647
eV/atom
Energy above Hull
0.0856
eV/atom
Uncorrected Energy
-6.3748
eV/atom
Volume/atom
13.65
ų
c/a Ratio
-

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
45.4351
μB
Mag. Ordering
FM
Mag. Sites
29
Magnetization/Volume
0.100880
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.606
Element Family
Metalloid-Nonmetal
Solute Fraction
0.394
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9136
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.5959
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
54.149%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9671
smaller = more stable mixing
VEC
4.848
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8316
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.452
Family
O-rich Multi-Component
Matrix Element
O · 0.606

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1182448
Reference Citation

The crystal structure and related material properties of Ba4Fe9O20 were obtained from the Materials Project database (MP-ID: mp-1182448, 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_Ba4Fe9O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.97536737
_cell_length_b   5.97536737
_cell_length_c   14.54798811
_cell_angle_alpha   89.46392890
_cell_angle_beta   89.46392890
_cell_angle_gamma   60.12912679
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ba4Fe9O20
_chemical_formula_sum   'Ba4 Fe9 O20'
_cell_volume   450.40274948
_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
  Ba  Ba0  1  0.16656500  0.16656500  0.57950600  1.0
  Ba  Ba1  1  0.83343500  0.83343500  0.42049400  1.0
  Ba  Ba2  1  0.50122800  0.50122800  0.73738700  1.0
  Ba  Ba3  1  0.49877200  0.49877200  0.26261300  1.0
  Fe  Fe4  1  0.50000000  0.50000000  0.00000000  1.0
  Fe  Fe5  1  0.16991300  0.16991300  0.82459300  1.0
  Fe  Fe6  1  0.83008700  0.83008700  0.17540700  1.0
  Fe  Fe7  1  0.83735100  0.83735100  0.78865900  1.0
  Fe  Fe8  1  0.16264900  0.16264900  0.21134100  1.0
  Fe  Fe9  1  0.00000000  0.50000000  0.00000000  1.0
  Fe  Fe10  1  0.50000000  0.00000000  0.00000000  1.0
  Fe  Fe11  1  0.50000000  0.50000000  0.50000000  1.0
  Fe  Fe12  1  0.00000000  0.00000000  0.00000000  1.0
  O  O13  1  0.84285500  0.33051300  0.92491400  1.0
  O  O14  1  0.33051300  0.84285500  0.92491400  1.0
  O  O15  1  0.15714500  0.66948700  0.07508600  1.0
  O  O16  1  0.66948700  0.15714500  0.07508600  1.0
  O  O17  1  0.01380300  0.48953700  0.75481000  1.0
  O  O18  1  0.48953700  0.01380300  0.75481000  1.0
  O  O19  1  0.98619700  0.51046300  0.24519000  1.0
  O  O20  1  0.51046300  0.98619700  0.24519000  1.0
  O  O21  1  0.20133200  0.64129800  0.57084300  1.0
  O  O22  1  0.64129800  0.20133200  0.57084300  1.0
  O  O23  1  0.79866800  0.35870200  0.42915700  1.0
  O  O24  1  0.35870200  0.79866800  0.42915700  1.0
  O  O25  1  0.33073600  0.33073600  0.92504300  1.0
  O  O26  1  0.66926400  0.66926400  0.07495700  1.0
  O  O27  1  0.01289700  0.01289700  0.75317800  1.0
  O  O28  1  0.98710300  0.98710300  0.24682200  1.0
  O  O29  1  0.35775200  0.35775200  0.42359200  1.0
  O  O30  1  0.64224800  0.64224800  0.57640800  1.0
  O  O31  1  0.83478200  0.83478200  0.92534700  1.0
  O  O32  1  0.16521800  0.16521800  0.07465300  1.0
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