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TiSb3(PO4)6

High-Entropy Materials HEA

MP-ID: mp-774803 · Space group: R3 (#146)

Basic Information

Formula
TiSb3(PO4)6
MP-ID
mp-774803
Elements
4
Sites
34
Density
3.3469
g/cm³
Volume
487.70
ų
Cell a
8.9565
Å
Cell b
8.9565
Å
Cell c
8.9565
Å
α Angle
58.25
°
β Angle
58.25
°
γ Angle
58.25
°
Space Group
R3
Point Group
3
Crystal System
Trigonal
Bravais Lattice
hR
Stability
No
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
11.95 7.4081 3.3 (1,1,1)
12.38 7.1494 8.8 (1,0,0)
14.18 6.2453 45.9 (1,1,0)
19.84 4.4751 100.0 (2,1,1)
20.37 4.3594 69.5 (1,0,-1)
23.22 3.8304 2.2 (2,2,1)
23.68 3.7572 65.2 (2,1,0)
23.91 3.7221 2.1 (1,1,-1)
24.91 3.5747 1.9 (2,0,0)
28.59 3.1227 64.0 (2,2,0)
30.55 2.9267 1.3 (3,2,2)
31.61 2.8307 10.8 (2,0,-1)
31.70 2.8227 45.7 (3,2,1)
32.39 2.7642 2.5 (2,1,-1)
34.40 2.6072 4.5 (3,3,2)
35.36 2.5386 28.1 (3,1,0)
35.67 2.5169 27.0 (2,-1,-1)
37.45 2.4015 1.5 (3,2,0)
37.75 2.3831 1.5 (2,2,-1)
40.31 2.2376 5.5 (4,2,2)
41.43 2.1797 3.3 (2,0,-2)
42.05 2.1486 4.5 (4,3,2)
42.40 2.1320 4.3 (4,3,3)
42.60 2.1225 2.3 (4,2,1)
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Energy Properties

Formation Energy/atom
-2.48523
eV/atom
Energy/atom
-7.53013
eV/atom
Energy above Hull
0.0208
eV/atom
Uncorrected Energy
-7.0452
eV/atom
Volume/atom
14.34
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0162
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000030
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.706
Element Family
Metalloid-Nonmetal
Solute Fraction
0.294
Interstitial Fraction
0.176

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.8699
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.2323
J/mol·K
Ω Parameter
0.0879
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
38.965%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6270
smaller = more stable mixing
VEC
4.265
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-19.058
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6275
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-774803
Reference Citation

The crystal structure and related material properties of TiSb3(PO4)6 were obtained from the Materials Project database (MP-ID: mp-774803, 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_TiSb3(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.95649606
_cell_length_b   8.95649606
_cell_length_c   8.95649604
_cell_angle_alpha   58.25223695
_cell_angle_beta   58.25223695
_cell_angle_gamma   58.25223772
_symmetry_Int_Tables_number   1
_chemical_formula_structural   TiSb3(PO4)6
_chemical_formula_sum   'Ti1 Sb3 P6 O24'
_cell_volume   487.70147451
_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  0.85924300  0.85924300  0.85924300  1.0
  Sb  Sb1  1  0.14292700  0.14292700  0.14292700  1.0
  Sb  Sb2  1  0.35726600  0.35726600  0.35726600  1.0
  Sb  Sb3  1  0.64436400  0.64436400  0.64436400  1.0
  P  P4  1  0.46611600  0.75001500  0.03805300  1.0
  P  P5  1  0.75001500  0.03805300  0.46611600  1.0
  P  P6  1  0.03805300  0.46611600  0.75001500  1.0
  P  P7  1  0.96139300  0.54011700  0.24835200  1.0
  P  P8  1  0.24835200  0.96139300  0.54011700  1.0
  P  P9  1  0.54011700  0.24835200  0.96139300  1.0
  O  O10  1  0.51469500  0.27466600  0.13339100  1.0
  O  O11  1  0.13339100  0.51469500  0.27466600  1.0
  O  O12  1  0.28190300  0.91886200  0.06360000  1.0
  O  O13  1  0.27466600  0.13339100  0.51469500  1.0
  O  O14  1  0.44259200  0.57531300  0.21907100  1.0
  O  O15  1  0.63520000  0.78099300  0.00228000  1.0
  O  O16  1  0.91886200  0.06360000  0.28190300  1.0
  O  O17  1  0.57531300  0.21907100  0.44259200  1.0
  O  O18  1  0.21907100  0.44259200  0.57531300  1.0
  O  O19  1  0.98593300  0.36700400  0.22768300  1.0
  O  O20  1  0.93649800  0.71416600  0.07550200  1.0
  O  O21  1  0.22768300  0.98593300  0.36700400  1.0
  O  O22  1  0.78099300  0.00228000  0.63520000  1.0
  O  O23  1  0.06360000  0.28190300  0.91886200  1.0
  O  O24  1  0.00228000  0.63520000  0.78099300  1.0
  O  O25  1  0.78310800  0.56080200  0.42213800  1.0
  O  O26  1  0.42213800  0.78310800  0.56080200  1.0
  O  O27  1  0.07550200  0.93649800  0.71416600  1.0
  O  O28  1  0.36700400  0.22768300  0.98593300  1.0
  O  O29  1  0.56080200  0.42213800  0.78310800  1.0
  O  O30  1  0.72259800  0.87266300  0.48149400  1.0
  O  O31  1  0.71416600  0.07550200  0.93649800  1.0
  O  O32  1  0.87266300  0.48149400  0.72259800  1.0
  O  O33  1  0.48149400  0.72259800  0.87266300  1.0
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