Ba4Ce2O7

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-778589 · Space group: P2_1/c (#14)

Materials Project API

Basic Information

Formula

Ba4Ce2O7

MP-ID

mp-778589

Elements

Sites

Density

5.4597

g/cm³

Volume

1,718.18

Å³

Cell a

19.1979

Cell b

11.3793

Cell c

7.8669

α Angle

90.00

β Angle

91.26

γ Angle

90.00

Space Group

P2_1/c

Point Group

2/m

Crystal System

Monoclinic

Bravais Lattice

Monoclinic P

Stability

Packing Fraction

0.5240

X-ray Diffraction

Diffraction Pattern

Target / Radiation

X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å

Diffraction Peaks (Top 24)

2θ	d (Å)	I	hkl
13.69	6.4700	1.0	(0,1,1)
15.57	5.6897	2.2	(0,2,0)
19.25	4.6099	1.0	(0,2,1)
20.08	4.4213	1.4	(4,1,0)
22.61	3.9325	1.8	(0,0,2)
23.94	3.7168	7.0	(0,1,2)
26.08	3.4165	1.4	(0,3,1)
26.34	3.3837	19.5	(3,0,-2)
26.54	3.3581	1.4	(1,3,1)
26.87	3.3177	19.2	(3,0,2)
27.33	3.2628	100.0	(3,3,0)
27.50	3.2434	29.3	(3,1,-2)
27.57	3.2350	26.2	(0,2,2)
27.89	3.1989	51.7	(6,0,0)
28.01	3.1851	31.6	(3,1,2)
28.97	3.0825	1.7	(2,2,-2)
30.74	2.9083	4.0	(3,2,-2)
31.21	2.8660	4.1	(3,2,2)
31.45	2.8448	1.5	(0,4,0)
32.10	2.7884	1.2	(6,2,0)
32.80	2.7301	25.4	(0,3,2)
33.07	2.7087	1.1	(1,3,-2)
34.99	2.5643	2.3	(5,3,-1)
36.30	2.4747	1.4	(3,4,-1)

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Energy Properties

Formation Energy/atom

-3.11288

eV/atom

Energy/atom

-7.28099

eV/atom

Energy above Hull

0.0829

eV/atom

Uncorrected Energy

-6.9111

eV/atom

Volume/atom

22.03

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

10.3529

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.006030

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.538

Element Family

Metalloid-Nonmetal

Solute Fraction

0.462

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.9840

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.1807

J/mol·K

Ω Parameter

0.0000

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

57.453%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.2352

smaller = more stable mixing

VEC

3.231

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

0.000

kJ/mol; negative = exothermic mixing

Entropy Norm

0.8956

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.432

Family

O-rich Multi-Component

Matrix Element

O · 0.538

Related Tasks

Related computation task IDs (1)

aaabshtt

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-778589

Reference Citation

The crystal structure and related material properties of Ba4Ce2O7 were obtained from the Materials Project database (MP-ID: mp-778589, 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

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Raw CIF Data

# generated using pymatgen
data_Ba4Ce2O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.19785121
_cell_length_b   11.37933552
_cell_length_c   7.86691282
_cell_angle_alpha   90.00000000
_cell_angle_beta   91.26491590
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ba4Ce2O7
_chemical_formula_sum   'Ba24 Ce12 O42'
_cell_volume   1718.17746079
_cell_formula_units_Z   6
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  0.08576084  0.40086655  0.83669486  1.0
  Ba  Ba1  1  0.08911882  0.75216598  0.97439646  1.0
  Ba  Ba2  1  0.08576084  0.09913345  0.33669486  1.0
  Ba  Ba3  1  0.08911882  0.74783402  0.47439646  1.0
  Ba  Ba4  1  0.24885069  0.94423636  0.69866381  1.0
  Ba  Ba5  1  0.25414533  0.27190662  0.53129591  1.0
  Ba  Ba6  1  0.24885069  0.55576364  0.19866381  1.0
  Ba  Ba7  1  0.25414533  0.22809338  0.03129591  1.0
  Ba  Ba8  1  0.41968171  0.77922990  0.01606838  1.0
  Ba  Ba9  1  0.41015059  0.44515911  0.83277318  1.0
  Ba  Ba10  1  0.41968171  0.72077010  0.51606838  1.0
  Ba  Ba11  1  0.41015059  0.05484089  0.33277318  1.0
  Ba  Ba12  1  0.58984941  0.94515911  0.66722682  1.0
  Ba  Ba13  1  0.58031829  0.27922990  0.48393162  1.0
  Ba  Ba14  1  0.58984941  0.55484089  0.16722682  1.0
  Ba  Ba15  1  0.58031829  0.22077010  0.98393162  1.0
  Ba  Ba16  1  0.74585467  0.77190662  0.96870409  1.0
  Ba  Ba17  1  0.75114931  0.44423636  0.80133619  1.0
  Ba  Ba18  1  0.74585467  0.72809338  0.46870409  1.0
  Ba  Ba19  1  0.75114931  0.05576364  0.30133619  1.0
  Ba  Ba20  1  0.91088118  0.25216598  0.52560354  1.0
  Ba  Ba21  1  0.91423916  0.90086655  0.66330514  1.0
  Ba  Ba22  1  0.91088118  0.24783402  0.02560354  1.0
  Ba  Ba23  1  0.91423916  0.59913345  0.16330514  1.0
  Ce  Ce24  1  0.08128616  0.07525197  0.82615641  1.0
  Ce  Ce25  1  0.08128616  0.42474803  0.32615641  1.0
  Ce  Ce26  1  0.24084339  0.57755177  0.68928709  1.0
  Ce  Ce27  1  0.24084339  0.92244823  0.18928709  1.0
  Ce  Ce28  1  0.41705597  0.07976239  0.82249671  1.0
  Ce  Ce29  1  0.41705597  0.42023761  0.32249671  1.0
  Ce  Ce30  1  0.58294403  0.57976239  0.67750329  1.0
  Ce  Ce31  1  0.58294403  0.92023761  0.17750329  1.0
  Ce  Ce32  1  0.75915661  0.07755177  0.81071291  1.0
  Ce  Ce33  1  0.75915661  0.42244823  0.31071291  1.0
  Ce  Ce34  1  0.91871384  0.57525197  0.67384359  1.0
  Ce  Ce35  1  0.91871384  0.92474803  0.17384359  1.0
  O  O36  1  0.00239324  0.20845820  0.78659075  1.0
  O  O37  1  0.00239324  0.29154180  0.28659075  1.0
  O  O38  1  0.07808500  0.95908119  0.61193822  1.0
  O  O39  1  0.07808500  0.54091881  0.11193822  1.0
  O  O40  1  0.16257401  0.19430723  0.76471513  1.0
  O  O41  1  0.14792753  0.50490412  0.55179051  1.0
  O  O42  1  0.16257401  0.30569277  0.26471513  1.0
  O  O43  1  0.14792753  0.99509588  0.05179051  1.0
  O  O44  1  0.19567324  0.74428992  0.75483085  1.0
  O  O45  1  0.23759131  0.45636925  0.89978581  1.0
  O  O46  1  0.19567324  0.75571008  0.25483085  1.0
  O  O47  1  0.23759131  0.04363075  0.39978581  1.0
  O  O48  1  0.33149029  0.50094556  0.52950246  1.0
  O  O49  1  0.34990644  0.23245579  0.78373430  1.0
  O  O50  1  0.33149029  0.99905444  0.02950246  1.0
  O  O51  1  0.34990644  0.26754421  0.28373430  1.0
  O  O52  1  0.38993209  0.93722237  0.64470405  1.0
  O  O53  1  0.38993209  0.56277763  0.14470405  1.0
  O  O54  1  0.48947379  0.65357453  0.81032775  1.0
  O  O55  1  0.51052621  0.15357453  0.68967225  1.0
  O  O56  1  0.50000000  0.50000000  0.50000000  1.0
  O  O57  1  0.48947379  0.84642547  0.31032775  1.0
  O  O58  1  0.51052621  0.34642547  0.18967225  1.0
  O  O59  1  0.50000000  0.00000000  0.00000000  1.0
  O  O60  1  0.61006791  0.43722237  0.85529595  1.0
  O  O61  1  0.61006791  0.06277763  0.35529595  1.0
  O  O62  1  0.65009356  0.73245579  0.71626570  1.0
  O  O63  1  0.66850971  0.00094556  0.97049754  1.0
  O  O64  1  0.65009356  0.76754421  0.21626570  1.0
  O  O65  1  0.66850971  0.49905444  0.47049754  1.0
  O  O66  1  0.76240869  0.95636925  0.60021419  1.0
  O  O67  1  0.80432676  0.24428992  0.74516915  1.0
  O  O68  1  0.76240869  0.54363075  0.10021419  1.0
  O  O69  1  0.80432676  0.25571008  0.24516915  1.0
  O  O70  1  0.85207247  0.00490412  0.94820949  1.0
  O  O71  1  0.83742599  0.69430723  0.73528487  1.0
  O  O72  1  0.85207247  0.49509588  0.44820949  1.0
  O  O73  1  0.83742599  0.80569277  0.23528487  1.0
  O  O74  1  0.92191500  0.45908119  0.88806178  1.0
  O  O75  1  0.92191500  0.04091881  0.38806178  1.0
  O  O76  1  0.99760676  0.70845820  0.71340925  1.0
  O  O77  1  0.99760676  0.79154180  0.21340925  1.0

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