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BaCaCr4O8

High-Entropy Materials HEA

MP-ID: mp-1044468 · Space group: P-31m (#162)

Basic Information

Formula
BaCaCr4O8
MP-ID
mp-1044468
Elements
4
Sites
14
Density
4.1412
g/cm³
Volume
205.86
ų
Cell a
5.4999
Å
Cell b
5.4999
Å
Cell c
7.8583
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-31m
Point Group
-3m
Crystal System
Trigonal
Bravais Lattice
hP
Stability
No
Packing Fraction
0.7405

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
11.26 7.8583 22.4 (0,0,0,1)
18.63 4.7630 5.0 (1,0,-1,0)
21.82 4.0732 7.8 (1,0,-1,1)
21.82 4.0732 3.9 (1,-1,0,1)
22.63 3.9292 4.1 (0,0,0,2)
29.47 3.0310 100.0 (1,0,-1,2)
32.56 2.7499 77.4 (2,-1,-1,0)
34.23 2.6194 4.7 (0,0,0,3)
34.56 2.5956 9.3 (1,1,-2,1)
34.56 2.5956 18.6 (2,-1,-1,1)
39.25 2.2952 5.8 (1,0,-1,3)
39.54 2.2792 3.0 (2,0,-2,1)
40.02 2.2530 1.5 (2,-1,-1,2)
44.49 2.0366 32.2 (2,0,-2,2)
46.21 1.9646 12.5 (0,0,0,4)
50.24 1.8162 1.0 (1,0,-1,4)
51.89 1.7621 2.4 (2,0,-2,3)
52.12 1.7548 2.9 (3,-1,-2,1)
56.20 1.6367 30.7 (3,-1,-2,2)
57.67 1.5986 32.4 (2,-1,-1,4)
58.10 1.5877 23.9 (3,0,-3,0)
59.39 1.5562 1.4 (3,0,-3,1)
62.61 1.4837 3.0 (3,-1,-2,3)
68.21 1.3750 8.0 (4,-2,-2,0)
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Energy Properties

Formation Energy/atom
-2.25484
eV/atom
Energy/atom
-8.12059
eV/atom
Energy above Hull
0.4072
eV/atom
Uncorrected Energy
-7.1569
eV/atom
Volume/atom
14.70
ų
c/a Ratio
1.4288

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
12.0001
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.058290
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.571
Element Family
Metalloid-Nonmetal
Solute Fraction
0.429
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0547
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.7689
J/mol·K
Ω Parameter
4.3208
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
52.338%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0231
smaller = more stable mixing
VEC
4.286
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
1.634
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7608
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1044468
Reference Citation

The crystal structure and related material properties of BaCaCr4O8 were obtained from the Materials Project database (MP-ID: mp-1044468, 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_BaCaCr4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.49988737
_cell_length_b   5.49988737
_cell_length_c   7.85829200
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999244
_symmetry_Int_Tables_number   1
_chemical_formula_structural   BaCaCr4O8
_chemical_formula_sum   'Ba1 Ca1 Cr4 O8'
_cell_volume   205.85736955
_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  0.00000000  0.00000000  0.00000000  1.0
  Ca  Ca1  1  0.00000000  0.00000000  0.50000000  1.0
  Cr  Cr2  1  0.33333300  0.66666700  0.75913600  1.0
  Cr  Cr3  1  0.66666700  0.33333300  0.75913600  1.0
  Cr  Cr4  1  0.33333300  0.66666700  0.24086400  1.0
  Cr  Cr5  1  0.66666700  0.33333300  0.24086400  1.0
  O  O6  1  0.32743100  0.32743100  0.69671800  1.0
  O  O7  1  0.67256900  0.00000000  0.69671800  1.0
  O  O8  1  0.00000000  0.67256900  0.69671800  1.0
  O  O9  1  0.67256900  0.67256900  0.30328200  1.0
  O  O10  1  0.00000000  0.32743100  0.30328200  1.0
  O  O11  1  0.32743100  0.00000000  0.30328200  1.0
  O  O12  1  0.33333300  0.66666700  0.00000000  1.0
  O  O13  1  0.66666700  0.33333300  0.00000000  1.0
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