HfMg14FeO16

High-Entropy Materials HEA

MP-ID: mp-1035468 · Space group: P4/mmm (#123)

Materials Project API

Basic Information

Formula

HfMg14FeO16

MP-ID

mp-1035468

Elements

Sites

Density

4.2784

g/cm³

Volume

322.38

Å³

Cell a

8.6593

Cell b

8.6593

Cell c

4.2993

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
10.22	8.6593	46.6	(1,0,0)
14.47	6.1230	57.1	(1,1,0)
20.51	4.3296	29.7	(2,0,0)
20.66	4.2993	14.5	(0,0,1)
22.97	3.8725	19.0	(2,1,0)
23.10	3.8508	17.3	(1,0,1)
25.31	3.5186	35.2	(1,1,1)
29.17	3.0615	12.5	(2,2,0)
29.27	3.0507	24.9	(2,0,1)
30.98	2.8864	5.6	(3,0,0)
31.08	2.8774	19.5	(2,1,1)
32.70	2.7383	20.4	(3,1,0)
36.01	2.4938	46.3	(2,2,1)
37.45	2.4017	4.2	(3,2,0)
37.53	2.3964	5.4	(3,0,1)
39.00	2.3096	23.0	(3,1,1)
41.72	2.1648	100.0	(4,0,0)
42.03	2.1497	49.3	(0,0,2)
43.07	2.1002	3.3	(4,1,0)
43.15	2.0967	4.3	(3,2,1)
43.37	2.0863	3.2	(1,0,2)
44.38	2.0410	5.4	(3,3,0)
44.68	2.0283	7.1	(1,1,2)
46.92	1.9363	6.8	(4,2,0)

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Energy Properties

Formation Energy/atom

-2.82347

eV/atom

Energy/atom

-6.58663

eV/atom

Energy above Hull

0.2119

eV/atom

Uncorrected Energy

-6.1726

eV/atom

Volume/atom

10.07

Å³

c/a Ratio

0.4965

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

3.8957

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.012080

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

9.5336

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

45.223%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.0528

smaller = more stable mixing

VEC

3.250

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-0.457

kJ/mol; negative = exothermic mixing

Entropy Norm

0.6671

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (2)

aaacgxts aaacgxxx

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1035468

Reference Citation

The crystal structure and related material properties of HfMg14FeO16 were obtained from the Materials Project database (MP-ID: mp-1035468, 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

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Raw CIF Data

# generated using pymatgen
data_HfMg14FeO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.65926270
_cell_length_b   8.65926270
_cell_length_c   4.29932292
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfMg14FeO16
_chemical_formula_sum   'Hf1 Mg14 Fe1 O16'
_cell_volume   322.37540181
_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
  Hf  Hf0  1  0.50000000  0.50000000  0.00000000  1.0
  Mg  Mg1  1  -0.00000000  0.50000000  0.00000000  1.0
  Mg  Mg2  1  0.50000000  -0.00000000  0.00000000  1.0
  Mg  Mg3  1  -0.00000000  0.24951607  0.50000000  1.0
  Mg  Mg4  1  -0.00000000  0.75048393  0.50000000  1.0
  Mg  Mg5  1  0.50000000  0.24264884  0.50000000  1.0
  Mg  Mg6  1  0.50000000  0.75735116  0.50000000  1.0
  Mg  Mg7  1  0.24951607  -0.00000000  0.50000000  1.0
  Mg  Mg8  1  0.24264884  0.50000000  0.50000000  1.0
  Mg  Mg9  1  0.75048393  -0.00000000  0.50000000  1.0
  Mg  Mg10  1  0.75735116  0.50000000  0.50000000  1.0
  Mg  Mg11  1  0.24260594  0.24260594  -0.00000000  1.0
  Mg  Mg12  1  0.24260594  0.75739406  0.00000000  1.0
  Mg  Mg13  1  0.75739406  0.24260594  0.00000000  1.0
  Mg  Mg14  1  0.75739406  0.75739406  0.00000000  1.0
  Fe  Fe15  1  -0.00000000  -0.00000000  0.00000000  1.0
  O  O16  1  0.26015814  -0.00000000  0.00000000  1.0
  O  O17  1  0.24761235  0.50000000  -0.00000000  1.0
  O  O18  1  0.73984186  -0.00000000  -0.00000000  1.0
  O  O19  1  0.75238765  0.50000000  0.00000000  1.0
  O  O20  1  0.24989646  0.24989646  0.50000000  1.0
  O  O21  1  0.24989646  0.75010354  0.50000000  1.0
  O  O22  1  0.75010354  0.24989646  0.50000000  1.0
  O  O23  1  0.75010354  0.75010354  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  0.26015814  -0.00000000  1.0
  O  O29  1  -0.00000000  0.73984186  -0.00000000  1.0
  O  O30  1  0.50000000  0.24761235  0.00000000  1.0
  O  O31  1  0.50000000  0.75238765  0.00000000  1.0

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