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Li4Mn2Cu3Sn3O16

High-Entropy Materials HEA

MP-ID: mp-776289 · Space group: Cm (#8)

Basic Information

Formula
Li4Mn2Cu3Sn3O16
MP-ID
mp-776289
Elements
5
Sites
28
Density
5.1054
g/cm³
Volume
305.87
ų
Cell a
6.0466
Å
Cell b
6.1146
Å
Cell c
9.5883
Å
α Angle
90.00
°
β Angle
90.18
°
γ Angle
120.37
°
Space Group
Cm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mC
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
9.22 9.5882 4.2 (0,0,1)
16.81 5.2757 1.2 (0,1,0)
16.81 5.2752 1.2 (1,-1,0)
17.00 5.2171 9.4 (1,0,0)
18.51 4.7941 100.0 (0,0,2)
19.19 4.6256 20.4 (0,1,-1)
19.19 4.6256 20.4 (1,-1,-1)
19.22 4.6188 14.7 (0,1,1)
19.22 4.6183 14.7 (1,-1,1)
19.34 4.5895 29.2 (1,0,-1)
19.40 4.5758 12.2 (1,0,1)
25.08 3.5512 6.0 (1,-1,-2)
25.08 3.5511 6.0 (0,1,-2)
25.12 3.5450 5.7 (0,1,2)
25.12 3.5446 5.7 (1,-1,2)
25.18 3.5363 8.3 (1,0,-2)
25.27 3.5238 10.6 (1,0,2)
30.69 2.9129 3.6 (1,-2,-1)
30.70 2.9127 3.6 (1,-2,1)
32.73 2.7358 5.4 (1,-1,-3)
32.74 2.7357 5.4 (0,1,-3)
32.79 2.7315 7.0 (0,1,3)
32.79 2.7313 7.0 (1,-1,3)
32.81 2.7296 5.3 (1,0,-3)
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Energy Properties

Formation Energy/atom
-1.73262
eV/atom
Energy/atom
-6.35596
eV/atom
Energy above Hull
0.0986
eV/atom
Uncorrected Energy
-5.8443
eV/atom
Volume/atom
10.92
ų
c/a Ratio
1.5857

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
10.3783
μB
Mag. Ordering
FM
Mag. Sites
6
Magnetization/Volume
0.033930
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
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2649
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.5164
J/mol·K
Ω Parameter
1.0358
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
43.289%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9759
smaller = more stable mixing
VEC
4.536
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-4.104
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7859
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-776289
Reference Citation

The crystal structure and related material properties of Li4Mn2Cu3Sn3O16 were obtained from the Materials Project database (MP-ID: mp-776289, 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_Li4Mn2Cu3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.04664303
_cell_length_b   6.11455897
_cell_length_c   9.58827612
_cell_angle_alpha   89.99513022
_cell_angle_beta   90.17795926
_cell_angle_gamma   120.36675916
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li4Mn2Cu3Sn3O16
_chemical_formula_sum   'Li4 Mn2 Cu3 Sn3 O16'
_cell_volume   305.86583910
_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  0.35187500  0.67604300  0.89195700  1.0
  Li  Li1  1  0.95320800  0.97665600  0.98528700  1.0
  Li  Li2  1  0.96284900  0.98146200  0.49875900  1.0
  Li  Li3  1  0.67163800  0.33583700  0.40431400  1.0
  Mn  Mn4  1  0.33670800  0.66830200  0.49092800  1.0
  Mn  Mn5  1  0.68609700  0.34313400  0.98032200  1.0
  Cu  Cu6  1  0.66286400  0.83130200  0.21338400  1.0
  Cu  Cu7  1  0.83388300  0.65998700  0.71195300  1.0
  Cu  Cu8  1  0.83399500  0.17406600  0.71196400  1.0
  Sn  Sn9  1  0.17307700  0.83260100  0.21209100  1.0
  Sn  Sn10  1  0.17294200  0.34033600  0.21212700  1.0
  Sn  Sn11  1  0.34160300  0.17077400  0.71050000  1.0
  O  O12  1  0.16656700  0.83232200  0.59244600  1.0
  O  O13  1  0.03548400  0.51773100  0.34700300  1.0
  O  O14  1  0.35068400  0.67525300  0.10011700  1.0
  O  O15  1  0.98731400  0.99359200  0.30974800  1.0
  O  O16  1  0.98552000  0.99275900  0.79890500  1.0
  O  O17  1  0.16656900  0.33417700  0.59233000  1.0
  O  O18  1  0.47572100  0.95757400  0.35520800  1.0
  O  O19  1  0.47568300  0.51805900  0.35518300  1.0
  O  O20  1  0.33758900  0.16879500  0.09459100  1.0
  O  O21  1  0.64360000  0.82157400  0.59669800  1.0
  O  O22  1  0.53036200  0.48087100  0.85072300  1.0
  O  O23  1  0.53052600  0.04971500  0.85077600  1.0
  O  O24  1  0.68490300  0.34253800  0.60788800  1.0
  O  O25  1  0.84095600  0.66220800  0.09034400  1.0
  O  O26  1  0.96675400  0.48376400  0.85201000  1.0
  O  O27  1  0.84102900  0.17886900  0.09028600  1.0
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