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Ti3Nb7(Ge3B)2

高熵材料 HEA

MP-ID: mp-3294218 · Space group: P312 (#149)

Basic Information

Formula
Ti3Nb7(Ge3B)2
MP-ID
mp-3294218
Elements
4
Sites
18
Density
7.6393
g/cm³
Volume
272.02
ų
Cell a
7.7281
Å
Cell b
7.7281
Å
Cell c
5.2591
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P312
Point Group
32
Crystal System
Trigonal
Bravais Lattice
hP
Stability
Yes
Packing Fraction
0.7405

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
13.23 6.6928 1.4 (1,0,-1,0)
21.49 4.1352 1.5 (1,0,-1,1)
23.02 3.8641 3.8 (2,-1,-1,0)
28.67 3.1139 2.0 (2,-1,-1,1)
34.10 2.6296 21.1 (0,0,0,2)
35.49 2.5296 22.3 (3,-1,-2,0)
36.72 2.4474 8.0 (1,0,-1,2)
39.53 2.2796 100.0 (3,-1,-2,1)
40.43 2.2309 26.4 (3,0,-3,0)
41.54 2.1739 47.5 (2,-1,-1,2)
43.78 2.0676 3.1 (2,0,-2,2)
49.08 1.8562 1.3 (4,-1,-3,0)
50.03 1.8230 2.7 (3,-1,-2,2)
50.31 1.8135 4.0 (4,-2,-2,1)
52.26 1.7504 11.7 (4,-1,-3,1)
53.89 1.7012 1.1 (3,0,-3,2)
54.87 1.6732 4.0 (4,0,-4,0)
59.36 1.5570 8.2 (4,-2,-2,2)
63.07 1.4739 5.9 (3,2,-5,1)
63.07 1.4739 3.0 (5,-2,-3,1)
63.72 1.4605 1.6 (1,4,-5,0)
63.72 1.4605 3.2 (5,-1,-4,0)
64.69 1.4409 22.6 (3,-1,-2,3)
66.20 1.4117 3.5 (0,4,-4,2)
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Energy Properties

Formation Energy/atom
-0.72004
eV/atom
Energy/atom
-17.93540
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-17.9354
eV/atom
Volume/atom
15.11
ų
c/a Ratio
0.6805

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0001
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Nb · 0.389
Element Family
4d-TM
Solute Fraction
0.611
Interstitial Fraction
0.111
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2763
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.6108
J/mol·K
Ω Parameter
0.8659
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.564%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2175
smaller = more stable mixing
VEC
4.278
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-25.215
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9206
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294218
Reference Citation

The crystal structure and related material properties of Ti3Nb7(Ge3B)2 were obtained from the Materials Project database (MP-ID: mp-3294218, 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_Ti3Nb7(Ge3B)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.72814002
_cell_length_b   7.72814037
_cell_length_c   5.25911464
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999848
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti3Nb7(Ge3B)2
_chemical_formula_sum   'Ti3 Nb7 Ge6 B2'
_cell_volume   272.01525460
_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
  Ti  Ti0  1  0.66666700  0.33333300  0.50000000  1.0
  Ti  Ti1  1  0.33333300  0.66666700  0.50000000  1.0
  Ti  Ti2  1  0.33333300  0.66666700  0.00000000  1.0
  Nb  Nb3  1  0.66666700  0.33333300  0.00000000  1.0
  Nb  Nb4  1  0.75506672  0.75519896  0.25055832  1.0
  Nb  Nb5  1  0.24480104  0.99986776  0.25055832  1.0
  Nb  Nb6  1  0.00013224  0.24493328  0.25055832  1.0
  Nb  Nb7  1  0.24480104  0.24493328  0.74944168  1.0
  Nb  Nb8  1  0.75506672  0.99986776  0.74944168  1.0
  Nb  Nb9  1  0.00013224  0.75519896  0.74944168  1.0
  Ge  Ge10  1  0.40147179  0.40440540  0.25246434  1.0
  Ge  Ge11  1  0.59559460  0.99706739  0.25246434  1.0
  Ge  Ge12  1  0.00293261  0.59852821  0.25246434  1.0
  Ge  Ge13  1  0.59559460  0.59852821  0.74753566  1.0
  Ge  Ge14  1  0.40147179  0.99706739  0.74753566  1.0
  Ge  Ge15  1  0.00293261  0.40440540  0.74753566  1.0
  B  B16  1  0.00000000  0.00000000  0.50000000  1.0
  B  B17  1  0.00000000  0.00000000  0.00000000  1.0
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