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Ti2(PO4)3

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-774537 · Space group: R-3c (#167)

Basic Information

Formula
Ti2(PO4)3
MP-ID
mp-774537
Elements
3
Sites
34
Density
2.7339
g/cm³
Volume
462.40
ų
Cell a
8.7824
Å
Cell b
8.7826
Å
Cell c
8.7828
Å
α Angle
58.48
°
β Angle
58.48
°
γ Angle
58.49
°
Space Group
R-3c
Point Group
-3m
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
14.44 6.1361 84.3 (0,1,1)
14.44 6.1360 84.3 (1,0,1)
14.44 6.1357 84.3 (1,1,0)
20.23 4.3891 88.9 (1,1,2)
20.23 4.3890 88.9 (1,2,1)
20.23 4.3889 88.9 (2,1,1)
20.70 4.2903 36.2 (1,-1,0)
20.70 4.2902 72.4 (1,0,-1)
24.10 3.6926 100.0 (0,2,1)
24.10 3.6926 100.0 (0,1,2)
24.10 3.6925 99.9 (1,0,2)
24.10 3.6925 100.0 (2,0,1)
24.10 3.6924 99.9 (1,2,0)
24.10 3.6924 99.9 (2,1,0)
24.55 3.6260 45.6 (2,2,2)
25.33 3.5161 2.0 (0,2,0)
25.33 3.5160 2.0 (0,0,2)
25.33 3.5160 2.0 (2,0,0)
29.11 3.0681 78.9 (0,2,2)
29.11 3.0680 78.9 (2,0,2)
29.11 3.0679 78.9 (2,2,0)
32.13 2.7856 15.2 (1,-2,0)
32.13 2.7856 15.2 (2,-1,0)
32.13 2.7855 15.2 (1,0,-2)
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Energy Properties

Formation Energy/atom
-2.90977
eV/atom
Energy/atom
-8.28700
eV/atom
Energy above Hull
0.0130
eV/atom
Uncorrected Energy
-9.9631
eV/atom
Volume/atom
13.60
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
2.1353
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.004620
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
0.8037
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
6.6823
J/mol·K
Ω Parameter
0.0308
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
39.362%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7094
smaller = more stable mixing
VEC
4.176
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-70.123
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
A
Score
0.648
Family
Interstitial Alloy
Matrix Element
O · 0.706

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-774537
Reference Citation

The crystal structure and related material properties of Ti2(PO4)3 were obtained from the Materials Project database (MP-ID: mp-774537, 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(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.78239026
_cell_length_b   8.78256821
_cell_length_c   8.78276029
_cell_angle_alpha   58.48227198
_cell_angle_beta   58.48294600
_cell_angle_gamma   58.48537732
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti2(PO4)3
_chemical_formula_sum   'Ti4 P6 O24'
_cell_volume   462.39744591
_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  0.35980580  0.35984518  0.35979183  1.0
  Ti  Ti1  1  0.64016672  0.64012540  0.64017683  1.0
  Ti  Ti2  1  0.85985376  0.85981511  0.85986551  1.0
  Ti  Ti3  1  0.14016970  0.14020812  0.14017465  1.0
  P  P4  1  0.74998315  0.03176210  0.46826391  1.0
  P  P5  1  0.96823797  0.53174625  0.25001101  1.0
  P  P6  1  0.53176441  0.24998138  0.96826404  1.0
  P  P7  1  0.46822786  0.75002292  0.03173150  1.0
  P  P8  1  0.03176428  0.46825588  0.74998746  1.0
  P  P9  1  0.25001596  0.96823402  0.53174196  1.0
  O  O10  1  0.92358731  0.06011734  0.29037198  1.0
  O  O11  1  0.70960658  0.07635785  0.94001040  1.0
  O  O12  1  0.00233733  0.63974364  0.77813944  1.0
  O  O13  1  0.86025221  0.49769012  0.72186236  1.0
  O  O14  1  0.57638427  0.20962945  0.43991029  1.0
  O  O15  1  0.79039068  0.55999176  0.42363703  1.0
  O  O16  1  0.94001012  0.70960090  0.07638208  1.0
  O  O17  1  0.22185242  0.99769474  0.36024703  1.0
  O  O18  1  0.50232983  0.27815321  0.13974114  1.0
  O  O19  1  0.27817440  0.13973832  0.50227186  1.0
  O  O20  1  0.36023240  0.22188130  0.99770789  1.0
  O  O21  1  0.56004602  0.42358597  0.79037768  1.0
  O  O22  1  0.43989436  0.57641422  0.20962284  1.0
  O  O23  1  0.63973961  0.77816331  0.00228606  1.0
  O  O24  1  0.72179891  0.86027521  0.49772666  1.0
  O  O25  1  0.77819615  0.00229312  0.63972807  1.0
  O  O26  1  0.49767238  0.72181919  0.86027467  1.0
  O  O27  1  0.06005758  0.29039643  0.92361609  1.0
  O  O28  1  0.20960883  0.43995200  0.57636098  1.0
  O  O29  1  0.42362097  0.79036714  0.56003096  1.0
  O  O30  1  0.13977124  0.50231429  0.27810229  1.0
  O  O31  1  0.99765780  0.36023525  0.22189528  1.0
  O  O32  1  0.29038490  0.92363386  0.06006105  1.0
  O  O33  1  0.07640406  0.93995502  0.70962714  1.0
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