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HfMg6TiO8

High-Entropy Materials HEA

MP-ID: mp-1031357 · Space group: P4/mmm (#123)

Basic Information

Formula
HfMg6TiO8
MP-ID
mp-1031357
Elements
4
Sites
16
Density
5.0776
g/cm³
Volume
163.58
ų
Cell a
8.8301
Å
Cell b
4.3041
Å
Cell c
4.3041
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
10.02 8.8301 100.0 (1,0,0)
20.11 4.4151 24.5 (2,0,0)
20.64 4.3041 24.5 (0,1,0)
22.99 3.8689 38.6 (1,1,0)
28.97 3.0819 21.8 (2,1,0)
29.35 3.0434 19.3 (0,1,1)
30.37 2.9434 11.6 (3,0,0)
31.08 2.8773 33.6 (1,1,1)
35.84 2.5058 46.4 (2,1,1)
37.00 2.4296 11.4 (3,1,0)
40.88 2.2075 33.6 (4,0,0)
41.98 2.1520 62.7 (0,2,0)
42.74 2.1158 13.3 (3,1,1)
43.27 2.0908 12.2 (1,2,0)
46.22 1.9642 6.5 (4,1,0)
46.97 1.9345 10.7 (2,2,0)
47.22 1.9248 6.1 (0,2,1)
48.40 1.8807 11.5 (1,2,1)
51.12 1.7869 8.3 (4,1,1)
51.77 1.7660 1.2 (5,0,0)
51.82 1.7644 9.4 (2,2,1)
52.69 1.7372 9.7 (3,2,0)
56.31 1.6338 3.8 (5,1,0)
57.18 1.6109 6.9 (3,2,1)
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Energy Properties

Formation Energy/atom
-2.79752
eV/atom
Energy/atom
-6.99872
eV/atom
Energy above Hull
0.2401
eV/atom
Uncorrected Energy
-6.6552
eV/atom
Volume/atom
10.22
ų
c/a Ratio
0.4874

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.2248
μB
Mag. Ordering
FiM
Mag. Sites
2
Magnetization/Volume
0.001370
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
1.0610
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.8208
J/mol·K
Ω Parameter
0.2329
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
45.102%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0526
smaller = more stable mixing
VEC
3.250
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-24.670
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7653
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1031357
Reference Citation

The crystal structure and related material properties of HfMg6TiO8 were obtained from the Materials Project database (MP-ID: mp-1031357, 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_HfMg6TiO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.83009710
_cell_length_b   4.30404503
_cell_length_c   4.30404503
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfMg6TiO8
_chemical_formula_sum   'Hf1 Mg6 Ti1 O8'
_cell_volume   163.57581473
_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  0.00000000  0.50000000  0.50000000  1.0
  Mg  Mg1  1  0.50000000  0.00000000  0.00000000  1.0
  Mg  Mg2  1  0.50000000  0.50000000  0.50000000  1.0
  Mg  Mg3  1  0.25712871  -0.00000000  0.50000000  1.0
  Mg  Mg4  1  0.74287129  0.00000000  0.50000000  1.0
  Mg  Mg5  1  0.25712871  0.50000000  0.00000000  1.0
  Mg  Mg6  1  0.74287129  0.50000000  -0.00000000  1.0
  Ti  Ti7  1  0.00000000  0.00000000  0.00000000  1.0
  O  O8  1  0.26003659  0.00000000  -0.00000000  1.0
  O  O9  1  0.73996341  -0.00000000  0.00000000  1.0
  O  O10  1  0.25706234  0.50000000  0.50000000  1.0
  O  O11  1  0.74293766  0.50000000  0.50000000  1.0
  O  O12  1  0.00000000  0.00000000  0.50000000  1.0
  O  O13  1  0.50000000  0.00000000  0.50000000  1.0
  O  O14  1  0.00000000  0.50000000  0.00000000  1.0
  O  O15  1  0.50000000  0.50000000  0.00000000  1.0
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