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Ti3Mn2Nb(PO4)6

High-Entropy Materials HEA

MP-ID: mp-776180 · Space group: R3 (#146)

Basic Information

Formula
Ti3Mn2Nb(PO4)6
MP-ID
mp-776180
Elements
5
Sites
36
Density
3.2340
g/cm³
Volume
470.44
ų
Cell a
8.6917
Å
Cell b
8.6917
Å
Cell c
8.6917
Å
α Angle
60.59
°
β Angle
60.59
°
γ Angle
60.59
°
Space Group
R3
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
12.38 7.1488 5.1 (1,0,0)
12.53 7.0651 1.8 (1,1,1)
14.35 6.1727 4.1 (1,1,0)
20.25 4.3843 53.7 (1,-1,0)
20.25 4.3843 26.8 (1,0,-1)
20.44 4.3455 12.9 (2,1,1)
23.81 3.7374 1.8 (1,1,-1)
23.89 3.7253 100.0 (2,1,0)
24.04 3.7014 1.2 (2,2,1)
24.91 3.5744 4.9 (0,2,0)
24.91 3.5744 9.7 (2,0,0)
28.93 3.0863 11.1 (2,2,0)
31.45 2.8442 16.2 (2,0,-1)
32.31 2.7704 3.5 (2,-1,1)
32.31 2.7704 1.8 (2,1,-1)
32.55 2.7508 71.0 (3,2,1)
35.46 2.5313 36.4 (2,-1,-1)
35.57 2.5237 3.3 (3,1,0)
35.90 2.5015 1.2 (3,3,2)
37.86 2.3767 1.9 (3,2,0)
41.18 2.1921 1.5 (2,0,-2)
41.56 2.1727 5.5 (2,4,2)
41.56 2.1727 2.7 (4,2,2)
43.21 2.0937 3.4 (3,1,-1)
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Energy Properties

Formation Energy/atom
-2.85293
eV/atom
Energy/atom
-8.50170
eV/atom
Energy above Hull
0.0387
eV/atom
Uncorrected Energy
-7.9510
eV/atom
Volume/atom
13.07
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
11.0000
μB
Mag. Ordering
FiM
Mag. Sites
6
Magnetization/Volume
0.023380
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.667
Element Family
Metalloid-Nonmetal
Solute Fraction
0.333
Interstitial Fraction
0.167

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0361
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.6144
J/mol·K
Ω Parameter
0.0723
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
39.315%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7619
smaller = more stable mixing
VEC
4.361
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-49.054
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6438
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-776180
Reference Citation

The crystal structure and related material properties of Ti3Mn2Nb(PO4)6 were obtained from the Materials Project database (MP-ID: mp-776180, 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_Ti3Mn2Nb(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.69164530
_cell_length_b   8.69164636
_cell_length_c   8.69164557
_cell_angle_alpha   60.58613488
_cell_angle_beta   60.58613399
_cell_angle_gamma   60.58613540
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti3Mn2Nb(PO4)6
_chemical_formula_sum   'Ti3 Mn2 Nb1 P6 O24'
_cell_volume   470.43865179
_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  0.14541000  0.14541000  0.14541000  1.0
  Ti  Ti1  1  0.35521100  0.35521100  0.35521100  1.0
  Ti  Ti2  1  0.64515300  0.64515300  0.64515300  1.0
  Mn  Mn3  1  0.00096000  0.00096000  0.00096000  1.0
  Mn  Mn4  1  0.49927000  0.49927000  0.49927000  1.0
  Nb  Nb5  1  0.85672300  0.85672300  0.85672300  1.0
  P  P6  1  0.04510800  0.74906300  0.45207500  1.0
  P  P7  1  0.45207500  0.04510800  0.74906300  1.0
  P  P8  1  0.25566800  0.53839200  0.95700000  1.0
  P  P9  1  0.53839200  0.95700000  0.25566800  1.0
  P  P10  1  0.95700000  0.25566800  0.53839200  1.0
  P  P11  1  0.74906300  0.45207500  0.04510800  1.0
  O  O12  1  0.11551900  0.31403000  0.50040100  1.0
  O  O13  1  0.31403000  0.50040100  0.11551900  1.0
  O  O14  1  0.06023500  0.91185600  0.26228900  1.0
  O  O15  1  0.50040100  0.11551900  0.31403000  1.0
  O  O16  1  0.00733100  0.81176600  0.61023800  1.0
  O  O17  1  0.23623300  0.58820300  0.43918400  1.0
  O  O18  1  0.26228900  0.06023500  0.91185600  1.0
  O  O19  1  0.43918400  0.23623300  0.58820300  1.0
  O  O20  1  0.19018800  0.38330300  0.99672300  1.0
  O  O21  1  0.58820300  0.43918400  0.23623300  1.0
  O  O22  1  0.09327500  0.73215700  0.94144300  1.0
  O  O23  1  0.38330300  0.99672300  0.19018800  1.0
  O  O24  1  0.61023800  0.00733100  0.81176600  1.0
  O  O25  1  0.91185600  0.26228900  0.06023500  1.0
  O  O26  1  0.41420900  0.55700200  0.76404400  1.0
  O  O27  1  0.81176600  0.61023800  0.00733100  1.0
  O  O28  1  0.55700200  0.76404400  0.41420900  1.0
  O  O29  1  0.73215700  0.94144300  0.09327500  1.0
  O  O30  1  0.76404400  0.41420900  0.55700200  1.0
  O  O31  1  0.99672300  0.19018800  0.38330300  1.0
  O  O32  1  0.49618100  0.88506700  0.68908500  1.0
  O  O33  1  0.94144300  0.09327500  0.73215700  1.0
  O  O34  1  0.68908500  0.49618100  0.88506700  1.0
  O  O35  1  0.88506700  0.68908500  0.49618100  1.0
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