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Th5Ti3(Co4P3)4

High-Entropy Materials HEA

MP-ID: mp-3293222 · Space group: P-62m (#189)

Basic Information

Formula
Th5Ti3(Co4P3)4
MP-ID
mp-3293222
Elements
4
Sites
36
Density
8.8751
g/cm³
Volume
489.90
ų
Cell a
12.1894
Å
Cell b
12.1894
Å
Cell c
3.8073
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-62m
Point Group
-6m2
Crystal System
Hexagonal
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
8.38 10.5564 6.2 (1,0,-1,0)
14.53 6.0947 4.2 (1,1,-2,0)
14.53 6.0947 8.4 (2,-1,-1,0)
16.80 5.2782 10.5 (2,0,-2,0)
22.28 3.9899 19.6 (3,-1,-2,0)
24.86 3.5815 18.6 (1,0,-1,1)
25.31 3.5188 2.7 (3,0,-3,0)
27.63 3.2290 18.5 (2,-1,-1,1)
28.92 3.0878 1.6 (2,0,-2,1)
29.31 3.0474 15.2 (4,-2,-2,0)
30.53 2.9278 8.4 (4,-1,-3,0)
30.53 2.9278 4.2 (4,-3,-1,0)
32.51 2.7545 14.3 (3,-1,-2,1)
34.71 2.5841 20.9 (3,0,-3,1)
37.12 2.4218 2.6 (3,2,-5,0)
37.12 2.4218 5.2 (5,-2,-3,0)
37.81 2.3791 100.0 (4,-2,-2,1)
38.80 2.3209 27.4 (4,-1,-3,1)
39.10 2.3036 30.9 (5,-1,-4,0)
41.64 2.1690 8.8 (4,0,-4,1)
42.83 2.1113 8.8 (5,0,-5,0)
44.33 2.0434 1.4 (5,-2,-3,1)
44.60 2.0316 1.3 (3,3,-6,0)
44.60 2.0316 2.6 (6,-3,-3,0)
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Energy Properties

Formation Energy/atom
-0.96972
eV/atom
Energy/atom
-21.13534
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.1353
eV/atom
Volume/atom
13.61
ų
c/a Ratio
0.3123

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
4.4628
μB
Mag. Ordering
FiM
Mag. Sites
16
Magnetization/Volume
0.009110
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Co · 0.444
Element Family
3d-TM
Solute Fraction
0.556
Interstitial Fraction
0.333

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2079
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0422
J/mol·K
Ω Parameter
5.0681
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
17.536%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2973
smaller = more stable mixing
VEC
6.278
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-2.669
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8713
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293222
Reference Citation

The crystal structure and related material properties of Th5Ti3(Co4P3)4 were obtained from the Materials Project database (MP-ID: mp-3293222, 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_Th5Ti3(Co4P3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.18944191
_cell_length_b   12.18944171
_cell_length_c   3.80726112
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999521
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Th5Ti3(Co4P3)4
_chemical_formula_sum   'Th5 Ti3 Co16 P12'
_cell_volume   489.90396441
_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
  Th  Th0  1  0.66666700  0.33333300  0.00000000  1.0
  Th  Th1  1  0.33333300  0.66666700  0.00000000  1.0
  Th  Th2  1  0.81078092  0.81078092  0.50000000  1.0
  Th  Th3  1  0.18921908  1.00000000  0.50000000  1.0
  Th  Th4  1  1.00000000  0.18921908  0.50000000  1.0
  Ti  Ti5  1  0.42854430  0.42854430  0.00000000  1.0
  Ti  Ti6  1  0.57145570  1.00000000  0.00000000  1.0
  Ti  Ti7  1  1.00000000  0.57145570  0.00000000  1.0
  Co  Co8  1  0.19508309  0.37946182  0.00000000  1.0
  Co  Co9  1  0.18437873  0.80491691  0.00000000  1.0
  Co  Co10  1  0.81562127  0.62053818  0.00000000  1.0
  Co  Co11  1  0.80491691  0.18437873  0.00000000  1.0
  Co  Co12  1  0.37946182  0.19508309  0.00000000  1.0
  Co  Co13  1  0.12406912  0.48646582  0.50000000  1.0
  Co  Co14  1  0.36239870  0.87593088  0.50000000  1.0
  Co  Co15  1  0.51353418  0.63760130  0.50000000  1.0
  Co  Co16  1  0.63760130  0.51353418  0.50000000  1.0
  Co  Co17  1  0.87593088  0.36239870  0.50000000  1.0
  Co  Co18  1  0.48646582  0.12406912  0.50000000  1.0
  Co  Co19  1  0.00000000  0.00000000  0.00000000  1.0
  Co  Co20  1  0.71956060  0.00000000  0.50000000  1.0
  Co  Co21  1  0.00000000  0.71956060  0.50000000  1.0
  Co  Co22  1  0.62053818  0.81562127  0.00000000  1.0
  Co  Co23  1  0.28043940  0.28043940  0.50000000  1.0
  P  P24  1  0.62883879  0.62883879  0.00000000  1.0
  P  P25  1  0.37116121  0.00000000  0.00000000  1.0
  P  P26  1  0.00000000  0.37116121  0.00000000  1.0
  P  P27  1  0.47297615  0.30612430  0.50000000  1.0
  P  P28  1  0.69387570  0.16685085  0.50000000  1.0
  P  P29  1  0.83314915  0.52702385  0.50000000  1.0
  P  P30  1  0.52702385  0.83314915  0.50000000  1.0
  P  P31  1  0.16685085  0.69387570  0.50000000  1.0
  P  P32  1  0.81570089  0.00000000  0.00000000  1.0
  P  P33  1  0.00000000  0.81570089  0.00000000  1.0
  P  P34  1  0.30612430  0.47297615  0.50000000  1.0
  P  P35  1  0.18429911  0.18429911  0.00000000  1.0
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