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HfMg14ZnO16

High-Entropy Materials HEA

MP-ID: mp-1035739 · Space group: P4/mmm (#123)

Basic Information

Formula
HfMg14ZnO16
MP-ID
mp-1035739
Elements
4
Sites
32
Density
4.2650
g/cm³
Volume
327.11
ų
Cell a
8.7230
Å
Cell b
8.7230
Å
Cell c
4.2989
Å
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
Tetragonal P
Stability
No
Packing Fraction
0.6800

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
10.14 8.7230 38.5 (1,0,0)
14.36 6.1681 61.0 (1,1,0)
20.36 4.3615 33.2 (2,0,0)
20.66 4.2989 15.6 (0,0,1)
22.80 3.9010 15.4 (2,1,0)
23.06 3.8561 14.4 (1,0,1)
25.25 3.5269 38.3 (1,1,1)
28.95 3.0841 14.1 (2,2,0)
29.17 3.0617 27.5 (2,0,1)
30.75 2.9077 4.2 (3,0,0)
30.95 2.8889 17.3 (2,1,1)
32.46 2.7585 23.0 (3,1,0)
35.83 2.5059 48.6 (2,2,1)
37.16 2.4193 2.9 (3,2,0)
37.34 2.4085 3.4 (3,0,1)
38.79 2.3216 25.6 (3,1,1)
41.40 2.1808 100.0 (4,0,0)
42.04 2.1495 48.7 (0,0,2)
42.74 2.1156 2.7 (4,1,0)
42.89 2.1084 1.5 (3,2,1)
43.36 2.0870 2.5 (1,0,2)
44.04 2.0560 6.4 (3,3,0)
44.64 2.0298 7.7 (1,1,2)
46.56 1.9505 7.6 (4,2,0)
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Energy Properties

Formation Energy/atom
-2.84796
eV/atom
Energy/atom
-6.38580
eV/atom
Energy above Hull
0.1874
eV/atom
Uncorrected Energy
-6.0423
eV/atom
Volume/atom
10.22
ų
c/a Ratio
0.4928

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.6645
μB
Mag. Ordering
FM
Mag. Sites
1
Magnetization/Volume
0.002030
μB/ų

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
4.2532
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
45.216%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0563
smaller = more stable mixing
VEC
3.375
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-0.960
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6671
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1035739
Reference Citation

The crystal structure and related material properties of HfMg14ZnO16 were obtained from the Materials Project database (MP-ID: mp-1035739, 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_HfMg14ZnO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.72300080
_cell_length_b   8.72300080
_cell_length_c   4.29893373
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfMg14ZnO16
_chemical_formula_sum   'Hf1 Mg14 Zn1 O16'
_cell_volume   327.10906144
_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  0.24706671  0.50000000  1.0
  Mg  Mg4  1  0.00000000  0.75293329  0.50000000  1.0
  Mg  Mg5  1  0.50000000  0.23876940  0.50000000  1.0
  Mg  Mg6  1  0.50000000  0.76123060  0.50000000  1.0
  Mg  Mg7  1  0.24706671  0.00000000  0.50000000  1.0
  Mg  Mg8  1  0.23876940  0.50000000  0.50000000  1.0
  Mg  Mg9  1  0.75293329  0.00000000  0.50000000  1.0
  Mg  Mg10  1  0.76123060  0.50000000  0.50000000  1.0
  Mg  Mg11  1  0.24079812  0.24079812  0.00000000  1.0
  Mg  Mg12  1  0.24079812  0.75920188  0.00000000  1.0
  Mg  Mg13  1  0.75920188  0.24079812  -0.00000000  1.0
  Mg  Mg14  1  0.75920188  0.75920188  -0.00000000  1.0
  Zn  Zn15  1  0.00000000  0.00000000  -0.00000000  1.0
  O  O16  1  0.27041537  0.00000000  -0.00000000  1.0
  O  O17  1  0.25413494  0.50000000  -0.00000000  1.0
  O  O18  1  0.72958463  0.00000000  0.00000000  1.0
  O  O19  1  0.74586506  0.50000000  0.00000000  1.0
  O  O20  1  0.25251920  0.25251920  0.50000000  1.0
  O  O21  1  0.25251920  0.74748080  0.50000000  1.0
  O  O22  1  0.74748080  0.25251920  0.50000000  1.0
  O  O23  1  0.74748080  0.74748080  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  0.27041537  -0.00000000  1.0
  O  O29  1  0.00000000  0.72958463  0.00000000  1.0
  O  O30  1  0.50000000  0.25413494  -0.00000000  1.0
  O  O31  1  0.50000000  0.74586506  0.00000000  1.0
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