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Li2MnCu(PO4)2

High-Entropy Materials HEA

MP-ID: mp-765574 · Space group: P2_1/m (#11)

Basic Information

Formula
Li2MnCu(PO4)2
MP-ID
mp-765574
Elements
5
Sites
28
Density
3.5496
g/cm³
Volume
301.56
ų
Cell a
6.1466
Å
Cell b
4.7764
Å
Cell c
10.2776
Å
α Angle
88.03
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P2_1/m
Point Group
2/m
Crystal System
Monoclinic
Bravais Lattice
mP
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
8.61 10.2715 2.1 (0,0,1)
16.81 5.2744 4.4 (1,0,1)
17.27 5.1358 48.2 (0,0,2)
20.24 4.3869 61.9 (0,1,1)
20.79 4.2732 30.4 (0,1,-1)
22.56 3.9411 17.6 (1,0,2)
23.60 3.7701 3.8 (1,1,0)
24.94 3.5707 52.5 (1,1,1)
25.03 3.5579 10.0 (0,1,2)
25.39 3.5086 67.3 (1,1,-1)
25.92 3.4380 10.1 (0,1,-2)
29.00 3.0793 16.9 (1,1,2)
29.05 3.0733 100.0 (2,0,0)
29.78 3.0006 7.0 (1,1,-2)
31.63 2.8286 28.4 (0,1,3)
32.71 2.7380 15.0 (0,1,-3)
33.99 2.6372 5.2 (2,0,2)
34.92 2.5696 64.0 (1,1,3)
35.67 2.5171 31.9 (2,1,1)
35.91 2.5011 68.8 (1,1,-3)
36.00 2.4950 14.9 (2,1,-1)
37.69 2.3868 1.3 (0,2,0)
37.98 2.3694 31.5 (1,0,4)
38.43 2.3426 14.4 (0,2,1)
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Energy Properties

Formation Energy/atom
-2.40179
eV/atom
Energy/atom
-7.22277
eV/atom
Energy above Hull
0.0327
eV/atom
Uncorrected Energy
-6.7111
eV/atom
Volume/atom
10.77
ų
c/a Ratio
1.6721

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
11.7165
μB
Mag. Ordering
FM
Mag. Sites
4
Magnetization/Volume
0.038850
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
1.2528
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.4155
J/mol·K
Ω Parameter
0.3019
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
40.424%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9548
smaller = more stable mixing
VEC
4.429
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-11.970
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7784
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-765574
Reference Citation

The crystal structure and related material properties of Li2MnCu(PO4)2 were obtained from the Materials Project database (MP-ID: mp-765574, 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_Li2MnCu(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.14662100
_cell_length_b   4.77635700
_cell_length_c   10.27759859
_cell_angle_alpha   88.03094777
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li2MnCu(PO4)2
_chemical_formula_sum   'Li4 Mn2 Cu2 P4 O16'
_cell_volume   301.55626402
_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  0.00000000  0.00000000  0.00000000  1.0
  Li  Li1  1  0.50000000  0.00000000  0.00000000  1.0
  Li  Li2  1  0.00000000  0.50000000  0.50000000  1.0
  Li  Li3  1  0.50000000  0.50000000  0.50000000  1.0
  Mn  Mn4  1  0.75000000  0.47937000  0.78105500  1.0
  Mn  Mn5  1  0.25000000  0.52063000  0.21894500  1.0
  Cu  Cu6  1  0.25000000  0.94592800  0.71473100  1.0
  Cu  Cu7  1  0.75000000  0.05407200  0.28526900  1.0
  P  P8  1  0.25000000  0.41161100  0.90077700  1.0
  P  P9  1  0.75000000  0.92519900  0.58820100  1.0
  P  P10  1  0.25000000  0.07480100  0.41179900  1.0
  P  P11  1  0.75000000  0.58838900  0.09922300  1.0
  O  O12  1  0.75000000  0.70812100  0.95623100  1.0
  O  O13  1  0.25000000  0.73764000  0.89254800  1.0
  O  O14  1  0.04555400  0.28269500  0.83493900  1.0
  O  O15  1  0.45444600  0.28269500  0.83493900  1.0
  O  O16  1  0.55001000  0.78361600  0.66017400  1.0
  O  O17  1  0.94999000  0.78361600  0.66017400  1.0
  O  O18  1  0.75000000  0.24574100  0.59053100  1.0
  O  O19  1  0.25000000  0.18980400  0.55262900  1.0
  O  O20  1  0.75000000  0.81019600  0.44737100  1.0
  O  O21  1  0.25000000  0.75425900  0.40946900  1.0
  O  O22  1  0.05001000  0.21638400  0.33982600  1.0
  O  O23  1  0.44999000  0.21638400  0.33982600  1.0
  O  O24  1  0.54555400  0.71730500  0.16506100  1.0
  O  O25  1  0.95444600  0.71730500  0.16506100  1.0
  O  O26  1  0.75000000  0.26236000  0.10745200  1.0
  O  O27  1  0.25000000  0.29187900  0.04376900  1.0
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