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Li3Mn(PO4)2

High-Entropy Materials HEA

MP-ID: mp-801735 · Space group: P-1 (#2)

Basic Information

Formula
Li3Mn(PO4)2
MP-ID
mp-801735
Elements
4
Sites
28
Density
3.0421
g/cm³
Volume
290.07
ų
Cell a
4.7458
Å
Cell b
5.0830
Å
Cell c
13.7889
Å
α Angle
98.65
°
β Angle
89.86
°
γ Angle
117.78
°
Space Group
P-1
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
13.03 6.7956 91.9 (0,0,2)
20.03 4.4327 3.5 (0,1,0)
21.25 4.1818 100.0 (1,-1,0)
22.02 4.0375 40.0 (0,1,-2)
24.06 3.6994 71.6 (1,-1,2)
24.09 3.6940 71.8 (1,0,-2)
25.78 3.4554 3.0 (0,1,2)
25.85 3.4472 2.2 (1,0,2)
26.23 3.3978 1.1 (0,0,4)
27.82 3.2066 50.2 (1,-1,3)
30.32 2.9475 26.5 (0,1,-4)
32.63 2.7440 30.0 (1,0,-4)
35.28 2.5437 5.0 (1,0,4)
35.77 2.5100 4.5 (1,1,0)
35.91 2.5006 25.7 (0,1,4)
36.36 2.4710 6.5 (1,-2,2)
37.34 2.4080 2.9 (1,1,1)
37.92 2.3729 5.0 (2,-1,0)
38.05 2.3648 18.9 (1,0,-5)
38.44 2.3417 1.6 (1,-2,3)
38.50 2.3386 1.2 (2,-1,1)
39.79 2.2652 2.1 (0,0,6)
40.02 2.2529 19.5 (1,1,2)
40.09 2.2489 3.2 (1,-2,-2)
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Energy Properties

Formation Energy/atom
-0.41384
eV/atom
Energy/atom
-5.07837
eV/atom
Energy above Hull
2.2067
eV/atom
Uncorrected Energy
-4.5667
eV/atom
Volume/atom
10.36
ų
c/a Ratio
2.9055

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
9.7416
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.033580
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.571
Element Family
Metalloid-Nonmetal
Solute Fraction
0.429
Interstitial Fraction
0.143

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1164
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.2815
J/mol·K
Ω Parameter
0.1634
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
42.124%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0336
smaller = more stable mixing
VEC
3.714
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-16.037
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8053
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-801735
Reference Citation

The crystal structure and related material properties of Li3Mn(PO4)2 were obtained from the Materials Project database (MP-ID: mp-801735, 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_Li3Mn(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.74578900
_cell_length_b   5.08300123
_cell_length_c   13.78888202
_cell_angle_alpha   98.65321704
_cell_angle_beta   89.85693162
_cell_angle_gamma   117.78025213
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li3Mn(PO4)2
_chemical_formula_sum   'Li6 Mn2 P4 O16'
_cell_volume   290.06832421
_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  0.67859300  0.01261600  0.66075600  1.0
  Li  Li1  1  0.65485800  0.01053800  0.16127800  1.0
  Li  Li2  1  0.34401600  0.99302000  0.83874000  1.0
  Li  Li3  1  0.32118500  0.98865600  0.34087900  1.0
  Li  Li4  1  0.01908400  0.50112900  0.74997200  1.0
  Li  Li5  1  0.97918200  0.50122900  0.25043600  1.0
  Mn  Mn6  1  0.00080500  0.00440200  0.49948800  1.0
  Mn  Mn7  1  0.99958600  0.00063500  0.00026900  1.0
  P  P8  1  0.65232200  0.54806400  0.88358900  1.0
  P  P9  1  0.66126900  0.54989100  0.38349100  1.0
  P  P10  1  0.33860900  0.45694900  0.61598200  1.0
  P  P11  1  0.34680900  0.45293900  0.11711500  1.0
  O  O12  1  0.77629200  0.36169600  0.85949700  1.0
  O  O13  1  0.30327400  0.36362700  0.35982700  1.0
  O  O14  1  0.43073700  0.28484700  0.96791700  1.0
  O  O15  1  0.78791400  0.28646000  0.46772100  1.0
  O  O16  1  0.47207300  0.74798400  0.79419900  1.0
  O  O17  1  0.32465200  0.20761500  0.58262100  1.0
  O  O18  1  0.86310700  0.74910100  0.29424300  1.0
  O  O19  1  0.04541700  0.20421300  0.08367800  1.0
  O  O20  1  0.95407700  0.79777700  0.91654300  1.0
  O  O21  1  0.13618000  0.25740900  0.70508500  1.0
  O  O22  1  0.67565700  0.79932000  0.41678500  1.0
  O  O23  1  0.52669500  0.25270200  0.20657400  1.0
  O  O24  1  0.21271500  0.72093100  0.53137400  1.0
  O  O25  1  0.56900500  0.71594000  0.03299400  1.0
  O  O26  1  0.69636200  0.64205200  0.64016600  1.0
  O  O27  1  0.22220900  0.63865300  0.14119600  1.0
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