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Hf3Ti2Ge3N

High-Entropy Materials HEA

MP-ID: mp-3295943 · Space group: P6_3/mcm (#193)

Basic Information

Formula
Hf3Ti2Ge3N
MP-ID
mp-3295943
Elements
4
Sites
18
Density
10.2631
g/cm³
Volume
279.30
ų
Cell a
7.7470
Å
Cell b
7.7470
Å
Cell c
5.3738
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3/mcm
Point Group
6/mmm
Crystal System
Hexagonal
Bravais Lattice
Hexagonal P
Stability
Yes
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
13.20 6.7091 33.5 (1,0,-1,0)
22.96 3.8735 10.0 (2,-1,-1,0)
26.57 3.3546 2.0 (2,0,-2,0)
28.40 3.1423 21.3 (2,-1,-1,1)
33.35 2.6869 35.4 (0,0,0,2)
35.40 2.5358 29.2 (3,-1,-2,0)
36.01 2.4943 15.1 (1,0,-1,2)
39.29 2.2933 50.0 (3,-1,-2,1)
39.29 2.2933 100.0 (2,1,-3,1)
40.33 2.2364 8.3 (3,0,-3,0)
40.33 2.2364 4.2 (0,3,-3,0)
40.88 2.2077 34.4 (2,-1,-1,2)
49.42 1.8442 12.5 (3,-1,-2,2)
50.06 1.8220 2.4 (4,-2,-2,1)
50.06 1.8220 4.7 (2,2,-4,1)
52.01 1.7583 2.0 (3,1,-4,1)
54.73 1.6773 12.5 (4,0,-4,0)
56.61 1.6258 3.3 (2,-1,-1,3)
58.77 1.5711 7.4 (4,-2,-2,2)
62.80 1.4797 13.3 (5,-2,-3,1)
63.55 1.4640 5.3 (5,-1,-4,0)
63.55 1.4640 2.7 (1,4,-5,0)
63.60 1.4631 36.5 (3,-1,-2,3)
65.62 1.4228 12.8 (4,0,-4,2)
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Energy Properties

Formation Energy/atom
-1.15107
eV/atom
Energy/atom
-24.71490
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-24.7149
eV/atom
Volume/atom
15.52
ų
c/a Ratio
0.6937

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0053
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Hf · 0.333
Element Family
5d-TM
Solute Fraction
0.667
Interstitial Fraction
0.111

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3108
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.8979
J/mol·K
Ω Parameter
0.3183
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
18.892%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5326
smaller = more stable mixing
VEC
4.111
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-57.433
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9455
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295943
Reference Citation

The crystal structure and related material properties of Hf3Ti2Ge3N were obtained from the Materials Project database (MP-ID: mp-3295943, 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_Hf3Ti2Ge3N
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.74699024
_cell_length_b   7.74698984
_cell_length_c   5.37377783
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000168
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Hf3Ti2Ge3N
_chemical_formula_sum   'Hf6 Ti4 Ge6 N2'
_cell_volume   279.30346702
_cell_formula_units_Z   2
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  0.23552434  0.00000000  0.25000000  1.0
  Hf  Hf1  1  0.76447566  0.00000000  0.75000000  1.0
  Hf  Hf2  1  0.00000000  0.23552434  0.25000000  1.0
  Hf  Hf3  1  1.00000000  0.76447566  0.75000000  1.0
  Hf  Hf4  1  0.76447566  0.76447566  0.25000000  1.0
  Hf  Hf5  1  0.23552434  0.23552434  0.75000000  1.0
  Ti  Ti6  1  0.33333300  0.66666700  0.00000000  1.0
  Ti  Ti7  1  0.66666700  0.33333300  0.00000000  1.0
  Ti  Ti8  1  0.66666700  0.33333300  0.50000000  1.0
  Ti  Ti9  1  0.33333300  0.66666700  0.50000000  1.0
  Ge  Ge10  1  0.59189596  0.00000000  0.25000000  1.0
  Ge  Ge11  1  0.40810404  0.00000000  0.75000000  1.0
  Ge  Ge12  1  0.00000000  0.59189596  0.25000000  1.0
  Ge  Ge13  1  1.00000000  0.40810404  0.75000000  1.0
  Ge  Ge14  1  0.40810404  0.40810404  0.25000000  1.0
  Ge  Ge15  1  0.59189596  0.59189596  0.75000000  1.0
  N  N16  1  0.00000000  0.00000000  0.00000000  1.0
  N  N17  1  0.00000000  0.00000000  0.50000000  1.0
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