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Li3Mn4(PO4)6

High-Entropy Materials HEA

MP-ID: mp-766381 · Space group: C2 (#5)

Basic Information

Formula
Li3Mn4(PO4)6
MP-ID
mp-766381
Elements
4
Sites
37
Density
3.1589
g/cm³
Volume
426.01
ų
Cell a
8.6114
Å
Cell b
8.6114
Å
Cell c
6.2393
Å
α Angle
74.98
°
β Angle
74.98
°
γ Angle
94.75
°
Space Group
C2
Point Group
2
Crystal System
Monoclinic
Bravais Lattice
Monoclinic C
Stability
No
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
13.98 6.3364 20.1 (1,-1,0)
16.01 5.5373 39.1 (1,0,1)
16.45 5.3878 100.0 (1,1,0)
20.83 4.2640 6.7 (1,-1,1)
22.64 3.9280 2.6 (2,0,1)
24.68 3.6067 12.8 (2,1,1)
25.57 3.4831 23.0 (2,-1,1)
25.78 3.4558 12.8 (2,1,0)
28.17 3.1682 10.6 (2,-2,0)
29.01 3.0781 1.6 (1,1,2)
29.71 3.0073 46.7 (1,0,2)
30.19 2.9606 2.3 (2,0,-1)
31.03 2.8823 4.4 (0,0,2)
32.24 2.7765 28.8 (2,-2,1)
32.30 2.7714 13.7 (2,1,2)
32.73 2.7364 6.5 (3,0,0)
32.79 2.7310 34.3 (3,-1,0)
33.26 2.6939 12.2 (2,2,0)
33.47 2.6771 5.9 (3,-1,1)
34.84 2.5753 9.5 (2,1,-1)
35.88 2.5030 3.4 (2,2,2)
35.90 2.5012 5.3 (1,0,-2)
35.97 2.4970 7.6 (2,-1,2)
36.23 2.4792 8.6 (3,1,0)
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Energy Properties

Formation Energy/atom
-2.36035
eV/atom
Energy/atom
-7.59328
eV/atom
Energy above Hull
0.0754
eV/atom
Uncorrected Energy
-6.9673
eV/atom
Volume/atom
11.51
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
13.0047
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.030530
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.649
Element Family
Metalloid-Nonmetal
Solute Fraction
0.351
Interstitial Fraction
0.162

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0200
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.4801
J/mol·K
Ω Parameter
0.2643
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
39.253%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.8732
smaller = more stable mixing
VEC
4.243
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-9.241
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7358
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-766381
Reference Citation

The crystal structure and related material properties of Li3Mn4(PO4)6 were obtained from the Materials Project database (MP-ID: mp-766381, 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_Li3Mn4(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.61139427
_cell_length_b   8.61139427
_cell_length_c   6.23925505
_cell_angle_alpha   74.98447451
_cell_angle_beta   74.98447451
_cell_angle_gamma   94.75237137
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li3Mn4(PO4)6
_chemical_formula_sum   'Li3 Mn4 P6 O24'
_cell_volume   426.00845648
_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  0.49982800  0.49977800  0.24911100  1.0
  Li  Li1  1  0.50022200  0.50017200  0.75088900  1.0
  Li  Li2  1  0.99328800  0.00671200  0.00000000  1.0
  Mn  Mn3  1  0.94236400  0.62220200  0.38458800  1.0
  Mn  Mn4  1  0.62512900  0.94181500  0.88256600  1.0
  Mn  Mn5  1  0.37779800  0.05763600  0.61541200  1.0
  Mn  Mn6  1  0.05818500  0.37487100  0.11743400  1.0
  P  P7  1  0.72313500  0.27686500  0.50000000  1.0
  P  P8  1  0.84856800  0.65821500  0.88997200  1.0
  P  P9  1  0.65786000  0.84705400  0.38667600  1.0
  P  P10  1  0.34178500  0.15143200  0.11002800  1.0
  P  P11  1  0.15294600  0.34214000  0.61332400  1.0
  P  P12  1  0.27777000  0.72223000  0.00000000  1.0
  O  O13  1  0.97156400  0.65006600  0.66371200  1.0
  O  O14  1  0.94036900  0.59524400  0.07944700  1.0
  O  O15  1  0.74436400  0.16011800  0.72242800  1.0
  O  O16  1  0.83988200  0.25563600  0.27757200  1.0
  O  O17  1  0.84260100  0.83251800  0.34221900  1.0
  O  O18  1  0.74647300  0.45383100  0.52079800  1.0
  O  O19  1  0.83551600  0.84074000  0.86982500  1.0
  O  O20  1  0.68393300  0.55746100  0.95138100  1.0
  O  O21  1  0.54616900  0.25352700  0.47920200  1.0
  O  O22  1  0.60036000  0.93840100  0.57786300  1.0
  O  O23  1  0.64953500  0.97491600  0.16313700  1.0
  O  O24  1  0.55416400  0.68393900  0.45330000  1.0
  O  O25  1  0.44253900  0.31606700  0.04861900  1.0
  O  O26  1  0.34993400  0.02843600  0.33628800  1.0
  O  O27  1  0.40475600  0.05963100  0.92055300  1.0
  O  O28  1  0.45437900  0.74580000  0.02102100  1.0
  O  O29  1  0.31606100  0.44583600  0.54670000  1.0
  O  O30  1  0.16748200  0.15739900  0.65778100  1.0
  O  O31  1  0.25420000  0.54562100  0.97897900  1.0
  O  O32  1  0.15926000  0.16448400  0.13017500  1.0
  O  O33  1  0.15848000  0.74530900  0.21951100  1.0
  O  O34  1  0.25469100  0.84152000  0.78048900  1.0
  O  O35  1  0.06159900  0.39964000  0.42213700  1.0
  O  O36  1  0.02508400  0.35046500  0.83686300  1.0
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