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Tb8Ti9Si16W3

高熵材料 HEA

MP-ID: mp-3293150 · Space group: C2 (#5)

Basic Information

Formula
Tb8Ti9Si16W3
MP-ID
mp-3293150
Elements
4
Sites
36
Density
7.1176
g/cm³
Volume
630.64
ų
Cell a
6.9924
Å
Cell b
6.9924
Å
Cell c
12.8983
Å
α Angle
90.04
°
β Angle
89.96
°
γ Angle
89.90
°
Space Group
C2
Point Group
2
Crystal System
Monoclinic
Bravais Lattice
mC
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
6.85 12.8983 15.6 (0,0,1)
12.66 6.9923 8.3 (1,0,0)
13.73 6.4492 3.5 (0,0,2)
14.40 6.1489 14.1 (1,0,1)
14.41 6.1454 2.4 (1,0,-1)
17.92 4.9488 6.3 (1,1,0)
17.96 4.9399 19.8 (1,-1,0)
18.71 4.7423 2.7 (1,0,2)
18.72 4.7391 2.6 (1,0,-2)
19.21 4.6204 48.2 (1,1,1)
19.23 4.6146 21.4 (1,-1,1)
19.25 4.6116 49.5 (1,-1,-1)
20.66 4.2994 1.1 (0,0,3)
22.65 3.9261 15.0 (1,1,2)
22.66 3.9235 4.5 (1,-1,2)
22.68 3.9198 5.1 (1,-1,-2)
24.29 3.6636 2.9 (1,0,3)
24.31 3.6614 2.0 (1,0,-3)
25.48 3.4962 1.2 (2,0,0)
26.41 3.3750 2.0 (2,0,1)
26.42 3.3738 3.5 (2,0,-1)
27.48 3.2456 6.9 (1,1,3)
27.49 3.2447 10.7 (1,-1,3)
27.52 3.2416 2.3 (1,-1,-3)
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Energy Properties

Formation Energy/atom
-0.80138
eV/atom
Energy/atom
-19.15512
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-19.1551
eV/atom
Volume/atom
17.52
ų
c/a Ratio
1.8446

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.8292
μB
Mag. Ordering
FM
Mag. Sites
1
Magnetization/Volume
0.001310
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.444
Element Family
Metalloid-Nonmetal
Solute Fraction
0.556
Interstitial Fraction
0.444
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2483
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.3784
J/mol·K
Ω Parameter
0.5483
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.364%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3736
smaller = more stable mixing
VEC
5.278
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-36.056
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9005
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293150
Reference Citation

The crystal structure and related material properties of Tb8Ti9Si16W3 were obtained from the Materials Project database (MP-ID: mp-3293150, 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_Tb8Ti9Si16W3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.99234986
_cell_length_b   6.99234986
_cell_length_c   12.89834001
_cell_angle_alpha   90.03898165
_cell_angle_beta   89.96101835
_cell_angle_gamma   89.89669388
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb8Ti9Si16W3
_chemical_formula_sum   'Tb8 Ti9 Si16 W3'
_cell_volume   630.63666042
_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
  Tb  Tb0  1  0.33887990  0.00080089  0.46670574  1.0
  Tb  Tb1  1  0.49839780  0.83987525  0.71839626  1.0
  Tb  Tb2  1  0.50004786  0.15986079  0.21641087  1.0
  Tb  Tb3  1  0.83987525  0.49839780  0.28160374  1.0
  Tb  Tb4  1  0.15986079  0.50004786  0.78358913  1.0
  Tb  Tb5  1  0.66082677  0.00026642  0.96714743  1.0
  Tb  Tb6  1  0.00080089  0.33887990  0.53329426  1.0
  Tb  Tb7  1  0.00026642  0.66082677  0.03285257  1.0
  Ti  Ti8  1  0.67267827  0.67267827  0.50000000  1.0
  Ti  Ti9  1  0.15377985  0.01021528  0.87727097  1.0
  Ti  Ti10  1  0.48934193  0.65460023  0.12678169  1.0
  Ti  Ti11  1  0.51003018  0.34493863  0.62948670  1.0
  Ti  Ti12  1  0.65460023  0.48934193  0.87321831  1.0
  Ti  Ti13  1  0.34493863  0.51003018  0.37051330  1.0
  Ti  Ti14  1  0.84784885  0.99095876  0.37606987  1.0
  Ti  Ti15  1  0.01021528  0.15377985  0.12272903  1.0
  Ti  Ti16  1  0.99095876  0.84784885  0.62393013  1.0
  Si  Si17  1  0.19890885  0.12942741  0.68595580  1.0
  Si  Si18  1  0.37164549  0.69884780  0.93567029  1.0
  Si  Si19  1  0.62913220  0.29856830  0.43594025  1.0
  Si  Si20  1  0.69884780  0.37164549  0.06432971  1.0
  Si  Si21  1  0.29856830  0.62913220  0.56405975  1.0
  Si  Si22  1  0.80083866  0.87128657  0.18559850  1.0
  Si  Si23  1  0.12942741  0.19890885  0.31404420  1.0
  Si  Si24  1  0.87128657  0.80083866  0.81440150  1.0
  Si  Si25  1  0.29147732  0.95334410  0.06443581  1.0
  Si  Si26  1  0.54656462  0.79142080  0.31423060  1.0
  Si  Si27  1  0.45261393  0.20859256  0.81582768  1.0
  Si  Si28  1  0.79142080  0.54656462  0.68576940  1.0
  Si  Si29  1  0.20859256  0.45261393  0.18417232  1.0
  Si  Si30  1  0.70818472  0.04824708  0.56631755  1.0
  Si  Si31  1  0.95334410  0.29147732  0.93556419  1.0
  Si  Si32  1  0.04824708  0.70818472  0.43368245  1.0
  W  W33  1  0.32635320  0.32635320  0.00000000  1.0
  W  W34  1  0.17427652  0.82692021  0.24862883  1.0
  W  W35  1  0.82692021  0.17427652  0.75137117  1.0
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