Navigation

HEAS Data Platform · Materials Science Database

TiCr2Fe3(PO4)6

High-Entropy Materials HEA

MP-ID: mp-1101312 · Space group: R3 (#146)

Basic Information

Formula
TiCr2Fe3(PO4)6
MP-ID
mp-1101312
Elements
5
Sites
36
Density
3.2990
g/cm³
Volume
447.59
ų
Cell a
8.5335
Å
Cell b
8.5335
Å
Cell c
8.5335
Å
α Angle
60.83
°
β Angle
60.83
°
γ Angle
60.83
°
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
20.56 4.3199 76.5 (1,0,-1)
20.82 4.2661 9.9 (2,1,1)
24.29 3.6650 100.0 (2,1,0)
25.30 3.5197 13.1 (2,0,0)
29.43 3.0354 8.3 (2,2,0)
31.94 2.8022 14.9 (2,0,-1)
32.82 2.7287 3.4 (2,1,-1)
33.16 2.7015 46.4 (3,2,1)
33.16 2.7015 23.2 (2,1,3)
36.01 2.4941 36.2 (2,-1,-1)
36.17 2.4836 3.3 (3,1,0)
38.51 2.3378 1.6 (3,2,0)
41.82 2.1599 1.0 (2,0,-2)
42.37 2.1330 6.9 (4,2,2)
43.91 2.0619 2.4 (3,1,-1)
44.51 2.0356 4.3 (4,3,2)
44.79 2.0236 5.8 (3,3,0)
47.54 1.9126 8.5 (4,3,1)
47.54 1.9126 16.9 (4,1,3)
49.07 1.8565 1.6 (4,1,0)
49.07 1.8565 3.1 (4,0,1)
49.51 1.8409 2.1 (2,2,-2)
49.76 1.8325 17.9 (4,2,0)
49.76 1.8325 9.0 (2,0,4)
Get direct link

Energy Properties

Formation Energy/atom
-2.50569
eV/atom
Energy/atom
-8.16834
eV/atom
Energy above Hull
0.0695
eV/atom
Uncorrected Energy
-7.4113
eV/atom
Volume/atom
12.43
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
22.0000
μB
Mag. Ordering
FM
Mag. Sites
5
Magnetization/Volume
0.049150
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
0.2000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
36.338%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7131
smaller = more stable mixing
VEC
4.611
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-17.895
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-1101312
Reference Citation

The crystal structure and related material properties of TiCr2Fe3(PO4)6 were obtained from the Materials Project database (MP-ID: mp-1101312, 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_TiCr2Fe3(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.53349606
_cell_length_b   8.53349606
_cell_length_c   8.53349534
_cell_angle_alpha   60.82547238
_cell_angle_beta   60.82547238
_cell_angle_gamma   60.82547039
_symmetry_Int_Tables_number   1
_chemical_formula_structural   TiCr2Fe3(PO4)6
_chemical_formula_sum   'Ti1 Cr2 Fe3 P6 O24'
_cell_volume   447.58571640
_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  0.14554500  0.14554500  0.14554500  1.0
  Cr  Cr1  1  0.99905400  0.99905400  0.99905400  1.0
  Cr  Cr2  1  0.49918100  0.49918100  0.49918100  1.0
  Fe  Fe3  1  0.85349800  0.85349800  0.85349800  1.0
  Fe  Fe4  1  0.64620000  0.64620000  0.64620000  1.0
  Fe  Fe5  1  0.35401100  0.35401100  0.35401100  1.0
  P  P6  1  0.74968900  0.45460800  0.04663800  1.0
  P  P7  1  0.45460800  0.04663800  0.74968900  1.0
  P  P8  1  0.04663800  0.74968900  0.45460800  1.0
  P  P9  1  0.95340100  0.25061600  0.54722000  1.0
  P  P10  1  0.54722000  0.95340100  0.25061600  1.0
  P  P11  1  0.25061600  0.54722000  0.95340100  1.0
  O  O12  1  0.88994000  0.68506400  0.49177300  1.0
  O  O13  1  0.68506400  0.49177300  0.88994000  1.0
  O  O14  1  0.93896700  0.09024700  0.74285100  1.0
  O  O15  1  0.49177300  0.88994000  0.68506400  1.0
  O  O16  1  0.00446300  0.18198300  0.38409800  1.0
  O  O17  1  0.75549900  0.40932200  0.55439400  1.0
  O  O18  1  0.74285100  0.93896700  0.09024700  1.0
  O  O19  1  0.55439400  0.75549900  0.40932200  1.0
  O  O20  1  0.81825600  0.60947800  0.00578100  1.0
  O  O21  1  0.40932200  0.55439400  0.75549900  1.0
  O  O22  1  0.91150400  0.25519300  0.06303700  1.0
  O  O23  1  0.60947800  0.00578100  0.81825600  1.0
  O  O24  1  0.38409800  0.00446300  0.18198300  1.0
  O  O25  1  0.09024700  0.74285100  0.93896700  1.0
  O  O26  1  0.59071200  0.43861100  0.24616000  1.0
  O  O27  1  0.18198300  0.38409800  0.00446300  1.0
  O  O28  1  0.43861100  0.24616000  0.59071200  1.0
  O  O29  1  0.25519300  0.06303700  0.91150400  1.0
  O  O30  1  0.24616000  0.59071200  0.43861100  1.0
  O  O31  1  0.00578100  0.81825600  0.60947800  1.0
  O  O32  1  0.50505700  0.10885600  0.31909200  1.0
  O  O33  1  0.06303700  0.91150400  0.25519300  1.0
  O  O34  1  0.31909200  0.50505700  0.10885600  1.0
  O  O35  1  0.10885600  0.31909200  0.50505700  1.0
Get direct link