Na3Ti2(PO4)3
High-Entropy Materials HEAMP-ID: mp-761046 · Space group: R-3 (#148)
Basic Information
Formula
Na3Ti2(PO4)3
MP-ID
mp-761046
Elements
4
Sites
40
Density
2.8752
g/cm³
Volume
519.35
ų
Cell a
9.1502
Å
Cell b
9.1502
Å
Cell c
9.1502
Å
α Angle
58.20
°
β Angle
58.20
°
γ Angle
58.20
°
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)
| 2θ | d (Å) | I | hkl |
|---|---|---|---|
| 11.69 | 7.5713 | 11.2 | (1,1,1) |
| 12.13 | 7.2987 | 3.6 | (1,0,0) |
| 13.89 | 6.3775 | 63.1 | (1,1,0) |
| 19.42 | 4.5717 | 64.5 | (2,1,1) |
| 19.95 | 4.4499 | 2.2 | (1,0,-1) |
| 23.19 | 3.8364 | 63.5 | (2,1,0) |
| 23.50 | 3.7857 | 20.2 | (2,2,2) |
| 24.39 | 3.6493 | 1.3 | (2,0,0) |
| 27.98 | 3.1887 | 47.4 | (2,2,0) |
| 30.95 | 2.8895 | 36.2 | (2,0,-1) |
| 31.02 | 2.8834 | 100.0 | (3,2,1) |
| 34.61 | 2.5920 | 6.7 | (3,1,0) |
| 34.92 | 2.5691 | 40.6 | (2,-1,-1) |
| 35.57 | 2.5238 | 5.3 | (3,3,3) |
| 36.65 | 2.4522 | 6.8 | (3,2,0) |
| 36.95 | 2.4329 | 6.7 | (3,0,0) |
| 39.42 | 2.2858 | 1.3 | (4,2,2) |
| 41.12 | 2.1953 | 10.5 | (4,3,2) |
| 41.67 | 2.1677 | 5.6 | (4,2,1) |
| 42.34 | 2.1347 | 13.1 | (3,1,-1) |
| 42.47 | 2.1283 | 5.8 | (2,1,-2) |
| 42.53 | 2.1258 | 1.6 | (1,1,4) |
| 42.53 | 2.1258 | 5.2 | (3,3,0) |
| 43.06 | 2.1008 | 1.4 | (3,0,-1) |
Energy Properties
Formation Energy/atom
-2.81633
eV/atom
Energy/atom
-7.58823
eV/atom
Energy above Hull
0.0574
eV/atom
Uncorrected Energy
-7.1760
eV/atom
Volume/atom
12.98
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
3.9995
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.007700
μB/ų
Elastic Properties
Elastic data not available
Feature Analysis
Composition Overview
Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.600
Element Family
Metalloid-Nonmetal
Solute Fraction
0.400
Interstitial Fraction
0.150
High-Entropy Alloy Features
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1059
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.1944
J/mol·K
Ω Parameter
0.0516
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
50.224%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9858
smaller = more stable mixing
VEC
3.700
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-58.837
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7977
SS Former
0
Phase Tendency
AM
Related Tasks
Citation & References
Materials Project Page
https://materialsproject.org/materials/mp-761046
Reference Citation
The crystal structure and related material properties of Na3Ti2(PO4)3 were obtained from the Materials Project database (MP-ID: mp-761046, 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
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Raw CIF Data
# generated using pymatgen
data_Na3Ti2(PO4)3
_symmetry_space_group_name_H-M 'P 1'
_cell_length_a 9.15021670
_cell_length_b 9.15021670
_cell_length_c 9.15021698
_cell_angle_alpha 58.19727579
_cell_angle_beta 58.19727579
_cell_angle_gamma 58.19727514
_symmetry_Int_Tables_number 1
_chemical_formula_structural Na3Ti2(PO4)3
_chemical_formula_sum 'Na6 Ti4 P6 O24'
_cell_volume 519.34767488
_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
Na Na0 1 0.08699500 0.33816000 0.74848500 1.0
Na Na1 1 0.25151500 0.91300500 0.66184000 1.0
Na Na2 1 0.66184000 0.25151500 0.91300500 1.0
Na Na3 1 0.33816000 0.74848500 0.08699500 1.0
Na Na4 1 0.74848500 0.08699500 0.33816000 1.0
Na Na5 1 0.91300500 0.66184000 0.25151500 1.0
Ti Ti6 1 0.85234400 0.85234400 0.85234400 1.0
Ti Ti7 1 0.64967900 0.64967900 0.64967900 1.0
Ti Ti8 1 0.35032100 0.35032100 0.35032100 1.0
Ti Ti9 1 0.14765600 0.14765600 0.14765600 1.0
P P10 1 0.24825700 0.53514900 0.96292000 1.0
P P11 1 0.03708000 0.75174300 0.46485100 1.0
P P12 1 0.46485100 0.03708000 0.75174300 1.0
P P13 1 0.53514900 0.96292000 0.24825700 1.0
P P14 1 0.96292000 0.24825700 0.53514900 1.0
P P15 1 0.75174300 0.46485100 0.03708000 1.0
O O16 1 0.48296700 0.85089900 0.76381500 1.0
O O17 1 0.76381500 0.48296700 0.85089900 1.0
O O18 1 0.21338900 0.37450400 0.98910700 1.0
O O19 1 0.09599400 0.72115000 0.91021600 1.0
O O20 1 0.85089900 0.76381500 0.48296700 1.0
O O21 1 0.27885000 0.08978400 0.90400600 1.0
O O22 1 0.01089300 0.78661100 0.62549600 1.0
O O23 1 0.43875500 0.54025100 0.81713300 1.0
O O24 1 0.18286700 0.56124500 0.45974900 1.0
O O25 1 0.62549600 0.01089300 0.78661100 1.0
O O26 1 0.08978400 0.90400600 0.27885000 1.0
O O27 1 0.45974900 0.18286700 0.56124500 1.0
O O28 1 0.54025100 0.81713300 0.43875500 1.0
O O29 1 0.91021600 0.09599400 0.72115000 1.0
O O30 1 0.37450400 0.98910700 0.21338900 1.0
O O31 1 0.81713300 0.43875500 0.54025100 1.0
O O32 1 0.56124500 0.45974900 0.18286700 1.0
O O33 1 0.98910700 0.21338900 0.37450400 1.0
O O34 1 0.72115000 0.91021600 0.09599400 1.0
O O35 1 0.14910100 0.23618500 0.51703300 1.0
O O36 1 0.90400600 0.27885000 0.08978400 1.0
O O37 1 0.78661100 0.62549600 0.01089300 1.0
O O38 1 0.23618500 0.51703300 0.14910100 1.0
O O39 1 0.51703300 0.14910100 0.23618500 1.0
