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Ti3Cr(PRu)4

High-Entropy Materials HEA

MP-ID: mp-3312842 · Space group: Pm (#6)

Basic Information

Formula
Ti3Cr(PRu)4
MP-ID
mp-3312842
Elements
4
Sites
12
Density
7.3584
g/cm³
Volume
163.33
ų
Cell a
3.7573
Å
Cell b
6.1670
Å
Cell c
7.0489
Å
α Angle
89.84
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
Monoclinic P
Stability
Yes
Packing Fraction
0.5240

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
19.09 4.6479 33.2 (0,1,1)
19.15 4.6349 33.7 (0,1,-1)
25.27 3.5244 26.6 (0,0,2)
26.89 3.3157 6.1 (1,0,1)
28.96 3.0835 3.8 (0,2,0)
29.15 3.0637 9.6 (0,1,2)
29.22 3.0563 12.0 (0,1,-2)
30.60 2.9220 47.8 (1,1,1)
30.63 2.9187 45.5 (1,1,-1)
31.64 2.8280 2.6 (0,2,1)
31.71 2.8221 1.3 (0,2,-1)
37.74 2.3836 100.0 (1,2,0)
37.89 2.3744 67.4 (1,1,2)
37.95 2.3709 57.4 (1,1,-2)
38.75 2.3240 10.4 (0,2,2)
38.86 2.3175 14.9 (0,2,-2)
39.90 2.2595 44.9 (1,2,1)
39.95 2.2565 43.8 (1,2,-1)
41.07 2.1977 17.2 (0,1,3)
41.15 2.1936 16.2 (0,1,-3)
45.53 1.9922 82.0 (1,0,3)
45.92 1.9764 18.2 (1,2,2)
45.95 1.9750 37.4 (0,3,1)
46.01 1.9724 19.7 (1,2,-2)
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Energy Properties

Formation Energy/atom
-0.96321
eV/atom
Energy/atom
-16.92930
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.9293
eV/atom
Volume/atom
13.61
ų
c/a Ratio
-

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
2.2334
μB
Mag. Ordering
FiM
Mag. Sites
4
Magnetization/Volume
0.013670
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

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

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2861
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.6923
J/mol·K
Ω Parameter
0.8466
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.247%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2962
smaller = more stable mixing
VEC
5.833
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-20.733
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9277
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3312842
Reference Citation

The crystal structure and related material properties of Ti3Cr(PRu)4 were obtained from the Materials Project database (MP-ID: mp-3312842, 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_Ti3Cr(PRu)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.75728527
_cell_length_b   6.16704321
_cell_length_c   7.04887352
_cell_angle_alpha   89.83814845
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti3Cr(PRu)4
_chemical_formula_sum   'Ti3 Cr1 P4 Ru4'
_cell_volume   163.33119756
_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  0.25000000  0.02336074  0.17426613  1.0
  Ti  Ti1  1  0.25000000  0.52678949  0.32400920  1.0
  Ti  Ti2  1  0.75000000  0.97592903  0.82459001  1.0
  Cr  Cr3  1  0.75000000  0.46959385  0.68038860  1.0
  P  P4  1  0.25000000  0.77462503  0.62681953  1.0
  P  P5  1  0.25000000  0.26976690  0.87395826  1.0
  P  P6  1  0.75000000  0.22774075  0.37606160  1.0
  P  P7  1  0.75000000  0.73169726  0.12306978  1.0
  Ru  Ru8  1  0.25000000  0.15801421  0.55858057  1.0
  Ru  Ru9  1  0.25000000  0.65003161  0.93530783  1.0
  Ru  Ru10  1  0.75000000  0.84529301  0.44166596  1.0
  Ru  Ru11  1  0.75000000  0.34716013  0.06128353  1.0
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