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Li6Fe3Ni(PO4)6

High-Entropy Materials HEA

MP-ID: mp-771187 · Space group: P1 (#1)

Basic Information

Formula
Li6Fe3Ni(PO4)6
MP-ID
mp-771187
Elements
5
Sites
40
Density
2.9737
g/cm³
Volume
467.78
ų
Cell a
8.5698
Å
Cell b
8.6165
Å
Cell c
8.6225
Å
α Angle
61.70
°
β Angle
61.68
°
γ Angle
61.85
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
Stability
No
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
12.38 7.1508 1.3 (1,0,0)
12.77 6.9302 1.1 (1,1,1)
14.34 6.1746 52.3 (0,1,1)
14.38 6.1602 28.2 (1,0,1)
14.42 6.1425 28.0 (1,1,0)
20.09 4.4200 60.2 (0,1,-1)
20.11 4.4160 51.3 (1,-1,0)
20.15 4.4064 52.0 (1,0,-1)
20.62 4.3081 100.0 (1,1,2)
20.63 4.3049 100.0 (1,2,1)
20.74 4.2825 96.8 (2,1,1)
23.84 3.7331 84.0 (0,2,1)
23.85 3.7303 84.9 (0,1,2)
23.86 3.7296 85.7 (1,0,2)
23.90 3.7236 88.2 (1,2,0)
23.95 3.7153 86.0 (2,0,1)
24.01 3.7066 84.1 (2,1,0)
25.71 3.4651 12.0 (2,2,2)
28.92 3.0873 59.7 (0,2,2)
28.99 3.0801 52.7 (2,0,2)
29.07 3.0713 52.0 (2,2,0)
31.20 2.8669 16.1 (0,2,-1)
31.20 2.8668 16.4 (1,-2,0)
31.21 2.8656 15.3 (0,1,-2)
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Energy Properties

Formation Energy/atom
-2.41032
eV/atom
Energy/atom
-7.25751
eV/atom
Energy above Hull
0.0587
eV/atom
Uncorrected Energy
-6.6126
eV/atom
Volume/atom
11.69
ų
c/a Ratio
1.0061

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
17.8347
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.038130
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.600
Element Family
Metalloid-Nonmetal
Solute Fraction
0.400
Interstitial Fraction
0.150

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1621
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.6619
J/mol·K
Ω Parameter
0.2826
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
41.012%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9397
smaller = more stable mixing
VEC
4.150
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-11.200
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7221
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-771187
Reference Citation

The crystal structure and related material properties of Li6Fe3Ni(PO4)6 were obtained from the Materials Project database (MP-ID: mp-771187, 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_Li6Fe3Ni(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.56982600
_cell_length_b   8.61649862
_cell_length_c   8.62246275
_cell_angle_alpha   61.70081561
_cell_angle_beta   61.67502352
_cell_angle_gamma   61.84759922
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li6Fe3Ni(PO4)6
_chemical_formula_sum   'Li6 Fe3 Ni1 P6 O24'
_cell_volume   467.77815086
_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
  Li  Li0  1  0.98013300  0.01120800  0.99889800  1.0
  Li  Li1  1  0.24584800  0.65078100  0.85223500  1.0
  Li  Li2  1  0.51949200  0.50492700  0.48948300  1.0
  Li  Li3  1  0.78023700  0.34168100  0.15308500  1.0
  Li  Li4  1  0.33786800  0.15511800  0.77895700  1.0
  Li  Li5  1  0.15721400  0.78207100  0.34028000  1.0
  Fe  Fe6  1  0.85498000  0.86074200  0.85315400  1.0
  Fe  Fe7  1  0.64538600  0.64706000  0.63985200  1.0
  Fe  Fe8  1  0.35408600  0.35218100  0.35455100  1.0
  Ni  Ni9  1  0.14490200  0.14638500  0.14697100  1.0
  P  P10  1  0.94914100  0.54691400  0.24969400  1.0
  P  P11  1  0.54766700  0.25040700  0.94940600  1.0
  P  P12  1  0.25050800  0.95073500  0.54359400  1.0
  P  P13  1  0.74948900  0.04271200  0.45619700  1.0
  P  P14  1  0.45424500  0.74882900  0.03761600  1.0
  P  P15  1  0.04518700  0.46128300  0.75097100  1.0
  O  O16  1  0.87626800  0.51523900  0.69659100  1.0
  O  O17  1  0.68411600  0.88643800  0.49543200  1.0
  O  O18  1  0.95124200  0.73083800  0.08140200  1.0
  O  O19  1  0.47090900  0.69213200  0.88397600  1.0
  O  O20  1  0.75738900  0.57532600  0.40572800  1.0
  O  O21  1  0.96917500  0.38988700  0.19656200  1.0
  O  O22  1  0.73841700  0.09260700  0.93199000  1.0
  O  O23  1  0.55839600  0.41727100  0.76349800  1.0
  O  O24  1  0.40452400  0.75534500  0.57433500  1.0
  O  O25  1  0.80401500  0.00670900  0.61796000  1.0
  O  O26  1  0.91304400  0.05317200  0.26756100  1.0
  O  O27  1  0.62892500  0.78972500  0.99266800  1.0
  O  O28  1  0.38805300  0.19736400  0.97239700  1.0
  O  O29  1  0.09519200  0.93145000  0.73917900  1.0
  O  O30  1  0.19452600  0.97275900  0.38899600  1.0
  O  O31  1  0.59584400  0.23883800  0.42733100  1.0
  O  O32  1  0.42732100  0.59496800  0.23371300  1.0
  O  O33  1  0.27061700  0.91676300  0.05333300  1.0
  O  O34  1  0.03408200  0.61847700  0.79886000  1.0
  O  O35  1  0.23766400  0.42500100  0.59342400  1.0
  O  O36  1  0.50946500  0.30763300  0.11216000  1.0
  O  O37  1  0.05083100  0.27358500  0.91409600  1.0
  O  O38  1  0.31131600  0.11100000  0.50455900  1.0
  O  O39  1  0.11228400  0.50343800  0.31030700  1.0
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