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Pa4Al18CrRh5

High-Entropy Materials HEA

MP-ID: mp-3287650 · Space group: C2/m (#12)

Basic Information

Formula
Pa4Al18CrRh5
MP-ID
mp-3287650
Elements
4
Sites
28
Density
7.0373
g/cm³
Volume
466.34
ų
Cell a
7.5636
Å
Cell b
7.5636
Å
Cell c
9.2938
Å
α Angle
89.81
°
β Angle
89.81
°
γ Angle
118.70
°
Space Group
C2/m
Point Group
2/m
Crystal System
Monoclinic
Bravais Lattice
Monoclinic C
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
13.35 6.6341 15.8 (1,0,-1,0)
13.61 6.5070 24.1 (1,-1,0,0)
16.37 5.4138 26.2 (1,0,-1,1)
16.46 5.3854 44.3 (1,0,-1,-1)
16.63 5.3304 1.0 (1,-1,0,1)
19.10 4.6468 6.4 (0,0,0,2)
23.31 3.8160 10.0 (1,0,-1,2)
23.43 3.7961 12.0 (1,0,-1,-2)
23.53 3.7816 4.8 (1,-1,0,2)
24.95 3.5695 25.2 (1,1,-2,1)
25.06 3.5532 34.9 (1,1,-2,-1)
25.40 3.5060 56.9 (2,-1,-1,1)
25.46 3.4982 38.9 (2,-1,-1,-1)
27.41 3.2535 22.2 (2,-2,0,0)
28.52 3.1296 11.4 (2,0,-2,1)
28.62 3.1185 5.6 (2,0,-2,-1)
30.02 2.9767 23.9 (1,1,-2,2)
30.22 2.9578 20.1 (1,1,-2,-2)
30.43 2.9373 51.4 (2,-1,-1,2)
30.53 2.9282 57.8 (2,-1,-1,-2)
31.81 2.8129 13.3 (1,0,-1,3)
31.95 2.8009 6.7 (1,0,-1,-3)
33.09 2.7069 3.7 (2,0,-2,2)
33.27 2.6927 2.9 (2,0,-2,-2)
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Energy Properties

Formation Energy/atom
-0.66054
eV/atom
Energy/atom
-20.81612
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-20.8161
eV/atom
Volume/atom
16.65
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
1.0465
μB
Mag. Ordering
FiM
Mag. Sites
5
Magnetization/Volume
0.002240
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Al · 0.643
Element Family
PostTransition-Noble
Solute Fraction
0.357
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9887
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.2198
J/mol·K
Ω Parameter
1.5044
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.873%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2661
smaller = more stable mixing
VEC
4.375
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-7.324
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7132
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3287650
Reference Citation

The crystal structure and related material properties of Pa4Al18CrRh5 were obtained from the Materials Project database (MP-ID: mp-3287650, 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_Pa4Al18CrRh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.56359432
_cell_length_b   7.56359431
_cell_length_c   9.29380984
_cell_angle_alpha   89.81073084
_cell_angle_beta   89.81073232
_cell_angle_gamma   118.70286650
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pa4Al18CrRh5
_chemical_formula_sum   'Pa4 Al18 Cr1 Rh5'
_cell_volume   466.33841177
_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
  Pa  Pa0  1  0.99460383  0.68626151  0.74709128  1.0
  Pa  Pa1  1  0.00539617  0.31373849  0.25290872  1.0
  Pa  Pa2  1  0.68626151  0.99460383  0.74709128  1.0
  Pa  Pa3  1  0.31373849  0.00539617  0.25290872  1.0
  Al  Al4  1  0.14003316  0.14003316  0.74932426  1.0
  Al  Al5  1  0.85996684  0.85996684  0.25067574  1.0
  Al  Al6  1  0.00665429  0.34072162  0.57752152  1.0
  Al  Al7  1  0.99334571  0.65927838  0.42247848  1.0
  Al  Al8  1  0.99699220  0.65769629  0.07772819  1.0
  Al  Al9  1  0.34230371  0.00300780  0.92227181  1.0
  Al  Al10  1  0.00300780  0.34230371  0.92227181  1.0
  Al  Al11  1  0.65769629  0.99699220  0.07772819  1.0
  Al  Al12  1  0.65927838  0.99334571  0.42247848  1.0
  Al  Al13  1  0.34072162  0.00665429  0.57752152  1.0
  Al  Al14  1  0.33491715  0.33491715  0.04172790  1.0
  Al  Al15  1  0.66508285  0.66508285  0.95827210  1.0
  Al  Al16  1  0.66546293  0.66546293  0.54108789  1.0
  Al  Al17  1  0.33453707  0.33453707  0.45891211  1.0
  Al  Al18  1  0.34621164  0.55657562  0.75011216  1.0
  Al  Al19  1  0.65378836  0.44342438  0.24988784  1.0
  Al  Al20  1  0.55657562  0.34621164  0.75011216  1.0
  Al  Al21  1  0.44342438  0.65378836  0.24988784  1.0
  Cr  Cr22  1  0.00000000  0.00000000  0.50000000  1.0
  Rh  Rh23  1  0.67425966  0.32574034  0.50000000  1.0
  Rh  Rh24  1  0.32574034  0.67425966  0.50000000  1.0
  Rh  Rh25  1  0.32749739  0.67250261  0.00000000  1.0
  Rh  Rh26  1  0.67250261  0.32749739  1.00000000  1.0
  Rh  Rh27  1  0.00000000  0.00000000  0.00000000  1.0
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