Mg14FeBiO16

High-Entropy Materials HEA

MP-ID: mp-1035533 · Space group: P4/mmm (#123)

Materials Project API

Basic Information

Formula

Mg14FeBiO16

MP-ID

mp-1035533

Elements

Sites

Density

4.2427

g/cm³

Volume

337.02

Å³

Cell a

8.7325

Cell b

8.7325

Cell c

4.4195

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

Stability

Packing Fraction

X-ray Diffraction

Diffraction Pattern

Target / Radiation

X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å

Diffraction Peaks (Top 24)

2θ	d (Å)	I	hkl
10.13	8.7325	59.6	(1,0,0)
14.34	6.1748	64.9	(1,1,0)
20.09	4.4195	18.8	(0,0,1)
20.34	4.3663	37.5	(2,0,0)
22.55	3.9433	24.8	(1,0,1)
22.77	3.9053	25.6	(2,1,0)
24.77	3.5938	45.5	(1,1,1)
28.74	3.1061	32.4	(2,0,1)
28.92	3.0874	16.2	(2,2,0)
30.55	2.9265	28.2	(2,1,1)
30.72	2.9108	10.4	(3,0,0)
32.42	2.7615	27.7	(3,1,0)
35.47	2.5310	52.7	(2,2,1)
36.98	2.4309	9.4	(3,0,1)
37.12	2.4220	8.8	(3,2,0)
38.44	2.3419	30.2	(3,1,1)
40.84	2.2098	53.1	(0,0,2)
41.36	2.1831	100.0	(4,0,0)
42.18	2.1422	4.7	(1,0,2)
42.57	2.1239	8.4	(3,2,1)
42.69	2.1180	4.1	(4,1,0)
43.50	2.0805	9.1	(1,1,2)
43.99	2.0583	8.1	(3,3,0)
46.03	1.9716	9.3	(2,0,2)

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Energy Properties

Formation Energy/atom

-2.66506

eV/atom

Energy/atom

-6.23862

eV/atom

Energy above Hull

0.1716

eV/atom

Uncorrected Energy

-5.8246

eV/atom

Volume/atom

10.53

Å³

c/a Ratio

0.5061

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

4.3348

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.012860

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.500

Element Family

Metalloid-Nonmetal

Solute Fraction

0.500

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.9249

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

7.6892

J/mol·K

Ω Parameter

5.5059

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

45.239%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.0369

smaller = more stable mixing

VEC

3.281

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-0.705

kJ/mol; negative = exothermic mixing

Entropy Norm

0.6671

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (2)

aaacgxwf aaacgyay

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1035533

Reference Citation

The crystal structure and related material properties of Mg14FeBiO16 were obtained from the Materials Project database (MP-ID: mp-1035533, 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…

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Raw CIF Data

# generated using pymatgen
data_Mg14FeBiO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.73251746
_cell_length_b   8.73251746
_cell_length_c   4.41949847
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Mg14FeBiO16
_chemical_formula_sum   'Mg14 Fe1 Bi1 O16'
_cell_volume   337.01708135
_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
  Mg  Mg0  1  0.00000000  0.50000000  -0.00000000  1.0
  Mg  Mg1  1  0.50000000  0.00000000  -0.00000000  1.0
  Mg  Mg2  1  0.00000000  0.24973563  0.50000000  1.0
  Mg  Mg3  1  0.00000000  0.75026437  0.50000000  1.0
  Mg  Mg4  1  0.50000000  0.23649107  0.50000000  1.0
  Mg  Mg5  1  0.50000000  0.76350893  0.50000000  1.0
  Mg  Mg6  1  0.24973563  0.00000000  0.50000000  1.0
  Mg  Mg7  1  0.23649107  0.50000000  0.50000000  1.0
  Mg  Mg8  1  0.75026437  0.00000000  0.50000000  1.0
  Mg  Mg9  1  0.76350893  0.50000000  0.50000000  1.0
  Mg  Mg10  1  0.24151967  0.24151967  -0.00000000  1.0
  Mg  Mg11  1  0.24151967  0.75848033  -0.00000000  1.0
  Mg  Mg12  1  0.75848033  0.24151967  0.00000000  1.0
  Mg  Mg13  1  0.75848033  0.75848033  0.00000000  1.0
  Fe  Fe14  1  0.00000000  0.00000000  -0.00000000  1.0
  Bi  Bi15  1  0.50000000  0.50000000  -0.00000000  1.0
  O  O16  1  0.25354773  0.00000000  0.00000000  1.0
  O  O17  1  0.23013960  0.50000000  -0.00000000  1.0
  O  O18  1  0.74645227  0.00000000  -0.00000000  1.0
  O  O19  1  0.76986040  0.50000000  -0.00000000  1.0
  O  O20  1  0.24974051  0.24974051  0.50000000  1.0
  O  O21  1  0.24974051  0.75025949  0.50000000  1.0
  O  O22  1  0.75025949  0.24974051  0.50000000  1.0
  O  O23  1  0.75025949  0.75025949  0.50000000  1.0
  O  O24  1  0.00000000  0.00000000  0.50000000  1.0
  O  O25  1  0.00000000  0.50000000  0.50000000  1.0
  O  O26  1  0.50000000  0.00000000  0.50000000  1.0
  O  O27  1  0.50000000  0.50000000  0.50000000  1.0
  O  O28  1  0.00000000  0.25354773  -0.00000000  1.0
  O  O29  1  0.00000000  0.74645227  0.00000000  1.0
  O  O30  1  0.50000000  0.23013960  0.00000000  1.0
  O  O31  1  0.50000000  0.76986040  0.00000000  1.0

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