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HfMg14SnO16

High-Entropy Materials HEA

MP-ID: mp-1034209 · Space group: P4/mmm (#123)

Basic Information

Formula
HfMg14SnO16
MP-ID
mp-1034209
Elements
4
Sites
32
Density
4.3490
g/cm³
Volume
341.14
ų
Cell a
8.7795
Å
Cell b
8.7795
Å
Cell c
4.4258
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
10.08 8.7795 12.2 (1,0,0)
14.27 6.2080 81.3 (1,1,0)
20.06 4.4258 22.7 (0,0,1)
20.23 4.3898 45.2 (2,0,0)
22.50 3.9521 4.0 (1,0,1)
22.65 3.9263 4.2 (2,1,0)
24.70 3.6038 54.9 (1,1,1)
28.64 3.1167 39.0 (2,0,1)
28.76 3.1040 19.7 (2,2,0)
30.43 2.9371 3.6 (2,1,1)
32.24 2.7763 33.0 (3,1,0)
35.32 2.5413 57.9 (2,2,1)
38.27 2.3519 36.5 (3,1,1)
40.78 2.2129 52.1 (0,0,2)
41.13 2.1949 100.0 (4,0,0)
43.41 2.0845 11.2 (1,1,2)
43.75 2.0694 9.2 (3,3,0)
45.93 1.9760 11.2 (2,0,2)
46.17 1.9664 10.6 (4,0,1)
46.24 1.9632 10.4 (4,2,0)
47.14 1.9278 1.1 (2,1,2)
47.38 1.9188 1.2 (4,1,1)
48.57 1.8746 9.3 (3,3,1)
50.66 1.8019 8.5 (2,2,2)
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Energy Properties

Formation Energy/atom
-2.73373
eV/atom
Energy/atom
-6.35750
eV/atom
Energy above Hull
0.3017
eV/atom
Uncorrected Energy
-6.0140
eV/atom
Volume/atom
10.66
ų
c/a Ratio
0.5041

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
1.3019
μB
Mag. Ordering
FM
Mag. Sites
1
Magnetization/Volume
0.003820
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
2.6984
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
45.321%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0509
smaller = more stable mixing
VEC
3.125
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.497
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-1034209
Reference Citation

The crystal structure and related material properties of HfMg14SnO16 were obtained from the Materials Project database (MP-ID: mp-1034209, 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_HfMg14SnO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.77949381
_cell_length_b   8.77949381
_cell_length_c   4.42583392
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfMg14SnO16
_chemical_formula_sum   'Hf1 Mg14 Sn1 O16'
_cell_volume   341.14111680
_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  0.25821485  0.50000000  1.0
  Mg  Mg4  1  0.00000000  0.74178515  0.50000000  1.0
  Mg  Mg5  1  0.50000000  0.24484856  0.50000000  1.0
  Mg  Mg6  1  0.50000000  0.75515144  0.50000000  1.0
  Mg  Mg7  1  0.25821485  0.00000000  0.50000000  1.0
  Mg  Mg8  1  0.24484856  0.50000000  0.50000000  1.0
  Mg  Mg9  1  0.74178515  0.00000000  0.50000000  1.0
  Mg  Mg10  1  0.75515144  0.50000000  0.50000000  1.0
  Mg  Mg11  1  0.24859861  0.24859861  -0.00000000  1.0
  Mg  Mg12  1  0.24859861  0.75140139  -0.00000000  1.0
  Mg  Mg13  1  0.75140139  0.24859861  0.00000000  1.0
  Mg  Mg14  1  0.75140139  0.75140139  0.00000000  1.0
  Sn  Sn15  1  0.00000000  0.00000000  -0.00000000  1.0
  O  O16  1  0.27272693  0.00000000  -0.00000000  1.0
  O  O17  1  0.25009672  0.50000000  -0.00000000  1.0
  O  O18  1  0.72727307  0.00000000  -0.00000000  1.0
  O  O19  1  0.74990328  0.50000000  -0.00000000  1.0
  O  O20  1  0.24858618  0.24858618  0.50000000  1.0
  O  O21  1  0.24858618  0.75141382  0.50000000  1.0
  O  O22  1  0.75141382  0.24858618  0.50000000  1.0
  O  O23  1  0.75141382  0.75141382  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  0.27272693  -0.00000000  1.0
  O  O29  1  0.00000000  0.72727307  -0.00000000  1.0
  O  O30  1  0.50000000  0.25009672  -0.00000000  1.0
  O  O31  1  0.50000000  0.74990328  -0.00000000  1.0
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