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Ho8Ti9Si16W3

高熵材料 HEA

MP-ID: mp-3293391 · Space group: C2 (#5)

Basic Information

Formula
Ho8Ti9Si16W3
MP-ID
mp-3293391
Elements
4
Sites
36
Density
7.3545
g/cm³
Volume
621.17
ų
Cell a
6.9588
Å
Cell b
6.9588
Å
Cell c
12.8275
Å
α Angle
90.02
°
β Angle
89.98
°
γ Angle
89.91
°
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
6.89 12.8275 15.1 (0,0,1)
12.72 6.9588 8.0 (1,0,0)
13.81 6.4138 3.4 (0,0,2)
14.48 6.1178 12.8 (1,0,1)
14.48 6.1156 1.9 (1,0,-1)
18.01 4.9244 7.3 (1,1,0)
18.04 4.9168 21.4 (1,-1,0)
18.81 4.7172 2.6 (1,0,2)
18.82 4.7151 2.5 (1,0,-2)
19.31 4.5973 50.4 (1,1,1)
19.33 4.5920 22.6 (1,-1,1)
19.34 4.5902 50.5 (1,-1,-1)
20.77 4.2758 1.0 (0,0,3)
22.77 3.9059 14.1 (1,1,2)
22.78 3.9033 4.3 (1,-1,2)
22.80 3.9010 4.8 (1,-1,-2)
24.43 3.6438 3.3 (1,0,3)
24.44 3.6424 2.1 (1,0,-3)
25.60 3.4794 1.3 (2,0,0)
26.54 3.3584 2.2 (2,0,1)
26.55 3.3577 4.0 (2,0,-1)
27.63 3.2286 6.9 (1,1,3)
27.64 3.2274 10.5 (1,-1,3)
27.66 3.2255 2.4 (1,-1,-3)
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Energy Properties

Formation Energy/atom
-0.81508
eV/atom
Energy/atom
-19.53658
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-19.5366
eV/atom
Volume/atom
17.25
ų
c/a Ratio
1.8434

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.7903
μB
Mag. Ordering
FM
Mag. Sites
1
Magnetization/Volume
0.001270
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
0.5550
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.364%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3310
smaller = more stable mixing
VEC
5.722
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-3293391
Reference Citation

The crystal structure and related material properties of Ho8Ti9Si16W3 were obtained from the Materials Project database (MP-ID: mp-3293391, 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_Ho8Ti9Si16W3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.95880099
_cell_length_b   6.95880099
_cell_length_c   12.82749792
_cell_angle_alpha   90.02459478
_cell_angle_beta   89.97540522
_cell_angle_gamma   89.91147909
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho8Ti9Si16W3
_chemical_formula_sum   'Ho8 Ti9 Si16 W3'
_cell_volume   621.16959244
_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
  Ho  Ho0  1  0.33917997  0.00025756  0.46659320  1.0
  Ho  Ho1  1  0.49903117  0.84041318  0.71839065  1.0
  Ho  Ho2  1  0.49929391  0.15931448  0.21642608  1.0
  Ho  Ho3  1  0.84041318  0.49903117  0.28160935  1.0
  Ho  Ho4  1  0.15931448  0.49929391  0.78357392  1.0
  Ho  Ho5  1  0.66039467  0.00107966  0.96710458  1.0
  Ho  Ho6  1  0.00025756  0.33917997  0.53340680  1.0
  Ho  Ho7  1  0.00107966  0.66039467  0.03289542  1.0
  Ti  Ti8  1  0.67267175  0.67267175  0.50000000  1.0
  Ti  Ti9  1  0.15320945  0.00949616  0.87671803  1.0
  Ti  Ti10  1  0.49024157  0.65407613  0.12615226  1.0
  Ti  Ti11  1  0.50920153  0.34567171  0.62878000  1.0
  Ti  Ti12  1  0.65407613  0.49024157  0.87384774  1.0
  Ti  Ti13  1  0.34567171  0.50920153  0.37122000  1.0
  Ti  Ti14  1  0.84830202  0.99148292  0.37560365  1.0
  Ti  Ti15  1  0.00949616  0.15320945  0.12328197  1.0
  Ti  Ti16  1  0.99148292  0.84830202  0.62439635  1.0
  Si  Si17  1  0.20003105  0.13045216  0.68491370  1.0
  Si  Si18  1  0.37034612  0.70016497  0.93455853  1.0
  Si  Si19  1  0.63045575  0.29787856  0.43492007  1.0
  Si  Si20  1  0.70016497  0.37034612  0.06544147  1.0
  Si  Si21  1  0.29787856  0.63045575  0.56507993  1.0
  Si  Si22  1  0.79960482  0.86995636  0.18461176  1.0
  Si  Si23  1  0.13045216  0.20003105  0.31508630  1.0
  Si  Si24  1  0.86995636  0.79960482  0.81538824  1.0
  Si  Si25  1  0.29210698  0.95354177  0.06429277  1.0
  Si  Si26  1  0.54652521  0.79185475  0.31417390  1.0
  Si  Si27  1  0.45275620  0.20810200  0.81556426  1.0
  Si  Si28  1  0.79185475  0.54652521  0.68582610  1.0
  Si  Si29  1  0.20810200  0.45275620  0.18443574  1.0
  Si  Si30  1  0.70750623  0.04795016  0.56600601  1.0
  Si  Si31  1  0.95354177  0.29210698  0.93570723  1.0
  Si  Si32  1  0.04795016  0.70750623  0.43399399  1.0
  W  W33  1  0.32668984  0.32668984  0.00000000  1.0
  W  W34  1  0.17402448  0.82673475  0.24863142  1.0
  W  W35  1  0.82673475  0.17402448  0.75136858  1.0
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