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Li2Co5P6Rh5

High-Entropy Materials HEA

MP-ID: mp-3292740 · Space group: Pmc2_1 (#26)

Basic Information

Formula
Li2Co5P6Rh5
MP-ID
mp-3292740
Elements
4
Sites
36
Density
7.4796
g/cm³
Volume
447.98
ų
Cell a
3.6256
Å
Cell b
10.3996
Å
Cell c
11.8810
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pmc2_1
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
oP
Stability
Yes
Packing Fraction
-

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
8.50 10.3996 2.1 (0,1,0)
14.91 5.9405 61.1 (0,0,2)
17.05 5.1998 11.2 (0,2,0)
17.19 5.1583 4.7 (0,1,2)
18.63 4.7636 23.7 (0,2,1)
22.73 3.9127 3.7 (0,2,2)
24.05 3.7011 9.1 (0,1,3)
26.03 3.4235 2.1 (1,1,0)
27.11 3.2897 6.3 (1,1,1)
28.33 3.1506 3.0 (0,2,3)
29.84 2.9941 5.8 (0,3,2)
30.09 2.9703 6.1 (0,0,4)
30.13 2.9662 7.7 (1,1,2)
31.00 2.8850 21.9 (1,2,1)
31.32 2.8561 1.2 (0,1,4)
33.70 2.6594 5.8 (1,2,2)
34.38 2.6084 1.2 (0,3,3)
34.78 2.5791 2.2 (0,2,4)
35.84 2.5056 2.8 (1,3,0)
37.83 2.3782 11.8 (1,2,3)
38.88 2.3165 1.6 (0,1,5)
39.02 2.3086 100.0 (1,3,2)
39.21 2.2977 42.2 (1,0,4)
40.19 2.2436 10.0 (1,1,4)
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Energy Properties

Formation Energy/atom
-0.70860
eV/atom
Energy/atom
-14.35517
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-14.3552
eV/atom
Volume/atom
12.44
ų
c/a Ratio
3.2770

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
2.6240
μB
Mag. Ordering
FM
Mag. Sites
8
Magnetization/Volume
0.005860
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
1.3220
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.9909
J/mol·K
Ω Parameter
0.5828
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
10.638%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3916
smaller = more stable mixing
VEC
6.778
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-23.926
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9536
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292740
Reference Citation

The crystal structure and related material properties of Li2Co5P6Rh5 were obtained from the Materials Project database (MP-ID: mp-3292740, 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

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Li2Co5P6Rh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.62562957
_cell_length_b   10.39963559
_cell_length_c   11.88100589
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li2Co5P6Rh5
_chemical_formula_sum   'Li4 Co10 P12 Rh10'
_cell_volume   447.97601571
_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
  Li  Li0  1  0.25000000  0.58379699  0.71091805  1.0
  Li  Li1  1  0.25000000  0.91620301  0.21091805  1.0
  Li  Li2  1  0.75000000  0.42166954  0.28918047  1.0
  Li  Li3  1  0.75000000  0.07833046  0.78918047  1.0
  Co  Co4  1  0.75000000  0.77471890  0.82165645  1.0
  Co  Co5  1  0.75000000  0.72528110  0.32165645  1.0
  Co  Co6  1  0.25000000  0.87434711  0.69861285  1.0
  Co  Co7  1  0.25000000  0.62565289  0.19861285  1.0
  Co  Co8  1  0.75000000  0.11211786  0.30142580  1.0
  Co  Co9  1  0.75000000  0.38788214  0.80142580  1.0
  Co  Co10  1  0.25000000  0.46566528  0.93244809  1.0
  Co  Co11  1  0.25000000  0.03433472  0.43244809  1.0
  Co  Co12  1  0.75000000  0.54298290  0.06799054  1.0
  Co  Co13  1  0.75000000  0.95701710  0.56799054  1.0
  P  P14  1  0.25000000  0.43608322  0.11548983  1.0
  P  P15  1  0.25000000  0.06391678  0.61548983  1.0
  P  P16  1  0.75000000  0.57740812  0.88324800  1.0
  P  P17  1  0.75000000  0.92259188  0.38324800  1.0
  P  P18  1  0.25000000  0.27100149  0.87010017  1.0
  P  P19  1  0.25000000  0.22899851  0.37010017  1.0
  P  P20  1  0.75000000  0.73469502  0.13992643  1.0
  P  P21  1  0.75000000  0.76530498  0.63992643  1.0
  P  P22  1  0.25000000  0.60262977  0.37873245  1.0
  P  P23  1  0.25000000  0.89737023  0.87873245  1.0
  P  P24  1  0.75000000  0.40324112  0.61796024  1.0
  P  P25  1  0.75000000  0.09675888  0.11796024  1.0
  Rh  Rh26  1  0.25000000  0.71081788  0.98326776  1.0
  Rh  Rh27  1  0.25000000  0.78918212  0.48326776  1.0
  Rh  Rh28  1  0.75000000  0.28936339  0.00936937  1.0
  Rh  Rh29  1  0.75000000  0.21063661  0.50936937  1.0
  Rh  Rh30  1  0.25000000  0.40993246  0.48016260  1.0
  Rh  Rh31  1  0.25000000  0.09006754  0.98016260  1.0
  Rh  Rh32  1  0.75000000  0.59504618  0.51806278  1.0
  Rh  Rh33  1  0.75000000  0.90495382  0.01806278  1.0
  Rh  Rh34  1  0.25000000  0.23202124  0.18144712  1.0
  Rh  Rh35  1  0.25000000  0.26797876  0.68144712  1.0
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