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Li2Mn3(PO4)4

High-Entropy Materials HEA

MP-ID: mp-758818 · Space group: P1 (#1)

Basic Information

Formula
Li2Mn3(PO4)4
MP-ID
mp-758818
Elements
4
Sites
50
Density
3.2507
g/cm³
Volume
570.68
ų
Cell a
7.6447
Å
Cell b
7.7048
Å
Cell c
10.9638
Å
α Angle
105.77
°
β Angle
105.69
°
γ Angle
101.81
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
Triclinic P
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
8.93 9.8984 45.4 (0,0,1)
14.87 5.9563 15.2 (1,-1,0)
17.37 5.1065 10.3 (1,-1,-1)
17.39 5.1006 17.7 (1,-1,1)
17.92 4.9492 54.5 (0,0,2)
18.33 4.8392 10.8 (1,1,-1)
20.32 4.3693 87.0 (1,1,0)
20.53 4.3259 89.6 (1,1,-2)
23.35 3.8090 29.5 (1,-1,-2)
23.38 3.8042 31.0 (1,-1,2)
23.60 3.7706 5.3 (0,2,-1)
23.78 3.7412 7.2 (2,0,-1)
25.18 3.5362 18.1 (0,2,0)
25.37 3.5112 14.9 (0,2,-2)
25.37 3.5101 18.7 (2,0,0)
25.53 3.4893 16.4 (2,0,-2)
25.58 3.4822 33.4 (1,1,1)
25.91 3.4384 2.2 (1,1,-3)
27.02 3.2995 2.6 (0,0,3)
29.63 3.0149 4.6 (0,2,1)
29.81 2.9975 5.3 (2,0,1)
29.94 2.9840 11.6 (0,2,-3)
30.00 2.9781 100.0 (2,-2,0)
30.07 2.9717 13.4 (2,0,-3)
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Energy Properties

Formation Energy/atom
-2.42962
eV/atom
Energy/atom
-7.71495
eV/atom
Energy above Hull
0.0466
eV/atom
Uncorrected Energy
-7.0751
eV/atom
Volume/atom
11.41
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
22.0007
μB
Mag. Ordering
FM
Mag. Sites
6
Magnetization/Volume
0.038550
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.640
Element Family
Metalloid-Nonmetal
Solute Fraction
0.360
Interstitial Fraction
0.160

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0353
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.6077
J/mol·K
Ω Parameter
0.2770
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
39.189%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.8797
smaller = more stable mixing
VEC
4.280
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-9.458
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7468
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-758818
Reference Citation

The crystal structure and related material properties of Li2Mn3(PO4)4 were obtained from the Materials Project database (MP-ID: mp-758818, 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_Li2Mn3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.64466100
_cell_length_b   7.70480544
_cell_length_c   10.96374665
_cell_angle_alpha   105.77483123
_cell_angle_beta   105.69097412
_cell_angle_gamma   101.81165929
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li2Mn3(PO4)4
_chemical_formula_sum   'Li4 Mn6 P8 O32'
_cell_volume   570.67753740
_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  0.52809800  0.78212800  0.26926600  1.0
  Li  Li1  1  0.77113900  0.25219200  0.01224100  1.0
  Li  Li2  1  0.48043000  0.52134300  0.48497900  1.0
  Li  Li3  1  0.03128300  0.27570400  0.26948400  1.0
  Mn  Mn4  1  0.00340800  0.74940800  0.22520500  1.0
  Mn  Mn5  1  0.95620100  0.70480300  0.71972900  1.0
  Mn  Mn6  1  0.50166500  0.25405800  0.22198900  1.0
  Mn  Mn7  1  0.49031300  0.74236400  0.79089400  1.0
  Mn  Mn8  1  0.44645600  0.19655100  0.71530300  1.0
  Mn  Mn9  1  0.99647000  0.24564800  0.78613500  1.0
  P  P10  1  0.71030500  0.95230600  0.09795600  1.0
  P  P11  1  0.87170100  0.62166300  0.39981900  1.0
  P  P12  1  0.63857800  0.88896300  0.59995400  1.0
  P  P13  1  0.20354100  0.45664900  0.09398800  1.0
  P  P14  1  0.78427500  0.53605300  0.90504200  1.0
  P  P15  1  0.36903100  0.11815000  0.39747500  1.0
  P  P16  1  0.13493100  0.38504000  0.59654300  1.0
  P  P17  1  0.28326300  0.03465100  0.90613900  1.0
  O  O18  1  0.92044300  0.95231500  0.16492400  1.0
  O  O19  1  0.81910800  0.56461200  0.05629000  1.0
  O  O20  1  0.55724400  0.80644100  0.10579800  1.0
  O  O21  1  0.82030900  0.76315200  0.32720300  1.0
  O  O22  1  0.53200700  0.77522100  0.45234700  1.0
  O  O23  1  0.50408600  0.95295000  0.67808300  1.0
  O  O24  1  0.00272200  0.45273000  0.67565200  1.0
  O  O25  1  0.69805400  0.74376100  0.67123900  1.0
  O  O26  1  0.69676100  0.46038800  0.38139100  1.0
  O  O27  1  0.20481300  0.95014200  0.37763800  1.0
  O  O28  1  0.93389400  0.68127800  0.88573900  1.0
  O  O29  1  0.68382200  0.93611600  0.94646100  1.0
  O  O30  1  0.71441500  0.16733400  0.16280800  1.0
  O  O31  1  0.20651500  0.66507100  0.16635700  1.0
  O  O32  1  0.41050000  0.45407900  0.16835100  1.0
  O  O33  1  0.32129400  0.07054700  0.05701000  1.0
  O  O34  1  0.27393200  0.82737000  0.83068900  1.0
  O  O35  1  0.77898800  0.32545600  0.83876700  1.0
  O  O36  1  0.57740700  0.52837100  0.83072500  1.0
  O  O37  1  0.04549700  0.30701000  0.09854200  1.0
  O  O38  1  0.31094000  0.55241000  0.62186700  1.0
  O  O39  1  0.80725400  0.05636600  0.62451000  1.0
  O  O40  1  0.31637200  0.27217900  0.33702100  1.0
  O  O41  1  0.01039100  0.56010000  0.32672800  1.0
  O  O42  1  0.50937000  0.06893600  0.32308900  1.0
  O  O43  1  0.47539200  0.22332200  0.55150800  1.0
  O  O44  1  0.97605100  0.72502000  0.55303000  1.0
  O  O45  1  0.03303700  0.28551300  0.44838000  1.0
  O  O46  1  0.20062500  0.25125300  0.67466800  1.0
  O  O47  1  0.43806000  0.18011600  0.88753700  1.0
  O  O48  1  0.18490400  0.43210900  0.94394500  1.0
  O  O49  1  0.07736900  0.03182400  0.83222300  1.0
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