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Ti2(SO4)3

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-768516 · Space group: R-3 (#148)

Basic Information

Formula
Ti2(SO4)3
MP-ID
mp-768516
Elements
3
Sites
34
Density
2.6597
g/cm³
Volume
479.39
ų
Cell a
8.9988
Å
Cell b
8.9988
Å
Cell c
8.9988
Å
α Angle
56.98
°
β Angle
56.98
°
γ Angle
56.98
°
Space Group
R-3
Point Group
-3
Crystal System
Trigonal
Bravais Lattice
Trigonal R
Stability
No
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
14.27 6.2054 65.9 (1,1,0)
19.77 4.4899 44.7 (2,1,1)
20.69 4.2925 10.9 (1,0,-1)
23.69 3.7554 10.9 (2,2,2)
23.88 3.7268 100.0 (2,0,1)
23.88 3.7268 50.0 (2,1,0)
28.77 3.1027 30.2 (2,0,2)
28.77 3.1027 15.1 (2,2,0)
31.66 2.8264 49.4 (3,2,1)
32.10 2.7885 17.7 (2,0,-1)
35.71 2.5146 7.7 (3,1,0)
36.25 2.4783 14.7 (2,-1,-1)
37.73 2.3845 1.1 (3,2,0)
38.24 2.3535 5.8 (3,0,0)
41.77 2.1626 6.0 (4,2,3)
41.77 2.1626 3.0 (4,3,2)
42.71 2.1169 2.0 (4,1,2)
42.71 2.1169 1.0 (4,2,1)
43.77 2.0685 3.7 (4,1,1)
43.87 2.0636 2.0 (3,1,-1)
44.68 2.0283 3.7 (3,0,-1)
45.60 1.9893 3.9 (4,1,3)
45.60 1.9893 1.9 (4,3,1)
46.92 1.9364 6.9 (3,2,-1)
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Energy Properties

Formation Energy/atom
-2.27802
eV/atom
Energy/atom
-7.42970
eV/atom
Energy above Hull
0.0864
eV/atom
Uncorrected Energy
-6.9448
eV/atom
Volume/atom
14.10
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
4.0214
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.008390
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
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.8037
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
6.6823
J/mol·K
Ω Parameter
0.0313
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
38.529%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6437
smaller = more stable mixing
VEC
4.353
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-71.531
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7316
SS Former
0
Phase Tendency
AM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.551
Family
O-rich Multi-Component
Matrix Element
O · 0.706

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-768516
Reference Citation

The crystal structure and related material properties of Ti2(SO4)3 were obtained from the Materials Project database (MP-ID: mp-768516, 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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Ti2(SO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.99880966
_cell_length_b   8.99880966
_cell_length_c   8.99881021
_cell_angle_alpha   56.97965777
_cell_angle_beta   56.97965777
_cell_angle_gamma   56.97965898
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti2(SO4)3
_chemical_formula_sum   'Ti4 S6 O24'
_cell_volume   479.38780709
_cell_formula_units_Z   2
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  0.85548100  0.85548100  0.85548100  1.0
  Ti  Ti1  1  0.14451900  0.14451900  0.14451900  1.0
  Ti  Ti2  1  0.64849800  0.64849800  0.64849800  1.0
  Ti  Ti3  1  0.35150200  0.35150200  0.35150200  1.0
  S  S4  1  0.03711200  0.75066700  0.46184700  1.0
  S  S5  1  0.46184700  0.03711200  0.75066700  1.0
  S  S6  1  0.75066700  0.46184700  0.03711200  1.0
  S  S7  1  0.96288800  0.24933300  0.53815300  1.0
  S  S8  1  0.53815300  0.96288800  0.24933300  1.0
  S  S9  1  0.24933300  0.53815300  0.96288800  1.0
  O  O10  1  0.00988800  0.79029300  0.61654800  1.0
  O  O11  1  0.61654800  0.00988800  0.79029300  1.0
  O  O12  1  0.79029300  0.61654800  0.00988800  1.0
  O  O13  1  0.99011200  0.20970700  0.38345200  1.0
  O  O14  1  0.38345200  0.99011200  0.20970700  1.0
  O  O15  1  0.20970700  0.38345200  0.99011200  1.0
  O  O16  1  0.85573000  0.75993800  0.48532300  1.0
  O  O17  1  0.48532300  0.85573000  0.75993800  1.0
  O  O18  1  0.75993800  0.48532300  0.85573000  1.0
  O  O19  1  0.14427000  0.24006200  0.51467700  1.0
  O  O20  1  0.51467700  0.14427000  0.24006200  1.0
  O  O21  1  0.24006200  0.51467700  0.14427000  1.0
  O  O22  1  0.09919400  0.89428600  0.27703400  1.0
  O  O23  1  0.27703400  0.09919400  0.89428600  1.0
  O  O24  1  0.89428600  0.27703400  0.09919400  1.0
  O  O25  1  0.90080600  0.10571400  0.72296600  1.0
  O  O26  1  0.72296600  0.90080600  0.10571400  1.0
  O  O27  1  0.10571400  0.72296600  0.90080600  1.0
  O  O28  1  0.18285100  0.56004400  0.46743900  1.0
  O  O29  1  0.46743900  0.18285100  0.56004400  1.0
  O  O30  1  0.56004400  0.46743900  0.18285100  1.0
  O  O31  1  0.81714900  0.43995600  0.53256100  1.0
  O  O32  1  0.53256100  0.81714900  0.43995600  1.0
  O  O33  1  0.43995600  0.53256100  0.81714900  1.0
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