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Na3Co4P6Rh5

High-Entropy Materials HEA

MP-ID: mp-3297293 · Space group: Pmm2 (#25)

Basic Information

Formula
Na3Co4P6Rh5
MP-ID
mp-3297293
Elements
4
Sites
36
Density
6.7979
g/cm³
Volume
491.02
ų
Cell a
3.7223
Å
Cell b
10.7808
Å
Cell c
12.2360
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pmm2
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
Orthorhombic 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
7.22 12.2360 2.1 (0,0,1)
8.20 10.7808 1.2 (0,1,0)
10.94 8.0890 38.4 (0,1,1)
14.48 6.1180 1.8 (0,0,2)
16.66 5.3209 1.7 (0,1,2)
17.98 4.9329 26.6 (0,2,1)
21.79 4.0787 11.9 (0,0,3)
21.98 4.0445 25.4 (0,2,2)
25.00 3.5612 6.2 (1,0,1)
25.31 3.5185 12.0 (1,1,0)
25.84 3.4480 9.4 (0,3,1)
26.36 3.3815 1.5 (1,1,1)
28.06 3.1800 1.1 (1,0,2)
28.81 3.0986 14.5 (0,3,2)
29.19 3.0590 1.2 (0,0,4)
30.08 2.9713 1.3 (1,2,1)
30.37 2.9428 3.1 (0,1,4)
32.57 2.7494 19.0 (1,0,3)
32.70 2.7389 17.1 (1,2,2)
33.23 2.6963 1.1 (0,3,3)
33.24 2.6952 1.8 (0,4,0)
35.49 2.5295 5.8 (1,3,1)
37.78 2.3815 100.0 (1,3,2)
38.08 2.3633 49.3 (1,0,4)
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Energy Properties

Formation Energy/atom
-0.66062
eV/atom
Energy/atom
-13.90079
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-13.9008
eV/atom
Volume/atom
13.64
ų
c/a Ratio
-

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0224
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000050
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
1.3549
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.2645
J/mol·K
Ω Parameter
0.5726
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
19.348%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4730
smaller = more stable mixing
VEC
6.333
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-23.252
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9773
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3297293
Reference Citation

The crystal structure and related material properties of Na3Co4P6Rh5 were obtained from the Materials Project database (MP-ID: mp-3297293, 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_Na3Co4P6Rh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.72230191
_cell_length_b   10.78076835
_cell_length_c   12.23599607
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Na3Co4P6Rh5
_chemical_formula_sum   'Na6 Co8 P12 Rh10'
_cell_volume   491.02164735
_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  0.00000000  0.50000000  0.52414619  1.0
  Na  Na1  1  0.50000000  0.00000000  0.47354199  1.0
  Na  Na2  1  0.50000000  0.82163912  0.19954595  1.0
  Na  Na3  1  0.50000000  0.17836088  0.19954595  1.0
  Na  Na4  1  0.00000000  0.67638383  0.80084752  1.0
  Na  Na5  1  0.00000000  0.32361617  0.80084752  1.0
  Co  Co6  1  0.00000000  0.50000000  0.99033559  1.0
  Co  Co7  1  0.50000000  0.00000000  0.01731405  1.0
  Co  Co8  1  0.00000000  0.61651125  0.28213716  1.0
  Co  Co9  1  0.00000000  0.38348875  0.28213716  1.0
  Co  Co10  1  0.50000000  0.33200422  0.99624498  1.0
  Co  Co11  1  0.50000000  0.66799578  0.99624498  1.0
  Co  Co12  1  0.00000000  0.16770008  0.01163942  1.0
  Co  Co13  1  0.00000000  0.83229992  0.01163942  1.0
  P  P14  1  0.50000000  0.31096576  0.61847719  1.0
  P  P15  1  0.50000000  0.68903424  0.61847719  1.0
  P  P16  1  0.00000000  0.20130323  0.36676083  1.0
  P  P17  1  0.00000000  0.79869677  0.36676083  1.0
  P  P18  1  0.50000000  0.50000000  0.89027307  1.0
  P  P19  1  0.00000000  0.00000000  0.11756703  1.0
  P  P20  1  0.50000000  0.84218400  0.90664135  1.0
  P  P21  1  0.50000000  0.15781600  0.90664135  1.0
  P  P22  1  0.00000000  0.65663973  0.10351190  1.0
  P  P23  1  0.00000000  0.34336027  0.10351190  1.0
  P  P24  1  0.50000000  0.50000000  0.33536539  1.0
  P  P25  1  0.00000000  0.00000000  0.66178164  1.0
  Rh  Rh26  1  0.50000000  0.30781684  0.42519440  1.0
  Rh  Rh27  1  0.50000000  0.69218316  0.42519440  1.0
  Rh  Rh28  1  0.00000000  0.19781168  0.56188757  1.0
  Rh  Rh29  1  0.00000000  0.80218832  0.56188757  1.0
  Rh  Rh30  1  0.50000000  0.87324449  0.71707026  1.0
  Rh  Rh31  1  0.50000000  0.12675551  0.71707026  1.0
  Rh  Rh32  1  0.50000000  0.50000000  0.15284166  1.0
  Rh  Rh33  1  0.00000000  0.00000000  0.85083358  1.0
  Rh  Rh34  1  0.50000000  0.50000000  0.70302121  1.0
  Rh  Rh35  1  0.00000000  0.00000000  0.30306055  1.0
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