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HfNb(TcGe)2

High-Entropy Materials HEA

MP-ID: mp-3296719 · Space group: Pm (#6)

Basic Information

Formula
HfNb(TcGe)2
MP-ID
mp-3296719
Elements
4
Sites
18
Density
10.6798
g/cm³
Volume
285.78
ų
Cell a
3.3858
Å
Cell b
7.0242
Å
Cell c
12.0169
Å
α Angle
89.54
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
Stability
Yes
Packing Fraction
-

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
7.36 12.0165 9.3 (0,0,1)
12.60 7.0240 3.2 (0,1,0)
14.56 6.0852 10.5 (0,1,1)
14.66 6.0431 3.4 (0,1,-1)
14.74 6.0082 6.2 (0,0,2)
19.36 4.5838 1.1 (0,1,2)
19.52 4.5479 1.2 (0,1,-2)
25.36 3.5120 6.8 (0,2,0)
25.51 3.4915 4.2 (0,1,3)
25.69 3.4676 3.8 (0,1,-3)
27.37 3.2589 1.4 (1,0,1)
29.28 3.0500 1.1 (1,1,0)
29.35 3.0426 9.0 (0,2,2)
29.56 3.0216 6.7 (0,2,-2)
29.74 3.0041 2.7 (0,0,4)
30.21 2.9587 1.5 (1,1,1)
30.26 2.9538 1.9 (1,1,-1)
30.30 2.9497 6.1 (1,0,2)
36.88 2.4375 88.6 (1,2,0)
36.98 2.4306 93.0 (1,1,3)
37.11 2.4225 100.0 (1,1,-3)
39.14 2.3016 19.9 (0,3,1)
39.26 2.2947 24.6 (0,3,-1)
39.31 2.2919 17.9 (0,2,4)
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Energy Properties

Formation Energy/atom
-0.61563
eV/atom
Energy/atom
-25.54209
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-25.5421
eV/atom
Volume/atom
15.88
ų
c/a Ratio
3.5492

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0065
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
Tc · 0.333
Element Family
4d-TM
Solute Fraction
0.667
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3297
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.0548
J/mol·K
Ω Parameter
3.1146
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.705%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2573
smaller = more stable mixing
VEC
4.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-7.417
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9591
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296719
Reference Citation

The crystal structure and related material properties of HfNb(TcGe)2 were obtained from the Materials Project database (MP-ID: mp-3296719, 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

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_HfNb(TcGe)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.38581116
_cell_length_b   7.02424354
_cell_length_c   12.01684730
_cell_angle_alpha   89.54404067
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfNb(TcGe)2
_chemical_formula_sum   'Hf3 Nb3 Tc6 Ge6'
_cell_volume   285.78477188
_cell_formula_units_Z   3
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  0.29679136  0.29994765  1.0
  Hf  Hf1  1  0.50000000  0.29668503  0.69914063  1.0
  Hf  Hf2  1  0.50000000  0.80021769  0.20014330  1.0
  Nb  Nb3  1  0.50000000  0.40825611  0.00159538  1.0
  Nb  Nb4  1  0.50000000  0.89954249  0.50106337  1.0
  Nb  Nb5  1  0.50000000  0.79492201  0.80032406  1.0
  Tc  Tc6  1  0.00000000  0.74749374  0.99807033  1.0
  Tc  Tc7  1  0.00000000  0.24339616  0.50182358  1.0
  Tc  Tc8  1  0.00000000  0.62612044  0.62863432  1.0
  Tc  Tc9  1  0.00000000  0.13022705  0.12768097  1.0
  Tc  Tc10  1  0.00000000  0.13031153  0.86985812  1.0
  Tc  Tc11  1  0.00000000  0.62777246  0.37110744  1.0
  Ge  Ge12  1  0.00000000  0.99257904  0.66758466  1.0
  Ge  Ge13  1  0.00000000  0.50029404  0.16404563  1.0
  Ge  Ge14  1  0.00000000  0.50024241  0.83479846  1.0
  Ge  Ge15  1  0.00000000  0.99727618  0.33711215  1.0
  Ge  Ge16  1  0.50000000  0.00677294  0.99820345  1.0
  Ge  Ge17  1  0.50000000  0.50129431  0.49886949  1.0
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