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Li11V12(CuO4)12

High-Entropy Materials HEA

MP-ID: mp-774644 · Space group: C2/m (#12)

Basic Information

Formula
Li11V12(CuO4)12
MP-ID
mp-774644
Elements
4
Sites
83
Density
4.1168
g/cm³
Volume
894.72
ų
Cell a
10.2234
Å
Cell b
10.2234
Å
Cell c
10.6576
Å
α Angle
77.32
°
β Angle
77.32
°
γ Angle
117.54
°
Space Group
C2/m
Point Group
2/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
18.15 4.8866 49.5 (2,-1,1)
18.38 4.8274 17.1 (0,0,2)
18.48 4.8016 19.6 (1,1,0)
19.80 4.4835 100.0 (1,1,2)
29.55 3.0229 36.7 (2,-1,3)
29.68 3.0102 37.4 (3,0,1)
30.68 2.9140 1.2 (3,-3,0)
31.35 2.8534 81.7 (1,1,-2)
33.70 2.6596 19.1 (3,0,3)
33.77 2.6543 67.0 (1,1,4)
33.94 2.6414 66.3 (2,2,2)
36.00 2.4947 81.2 (3,-3,2)
36.05 2.4912 79.0 (4,-2,0)
36.41 2.4675 13.0 (2,-1,-3)
36.52 2.4606 13.4 (3,0,-1)
37.25 2.4137 1.2 (0,0,4)
37.46 2.4008 1.0 (2,2,0)
40.23 2.2418 21.2 (2,2,4)
44.44 2.0387 32.8 (4,-2,-2)
46.27 1.9623 10.8 (4,-2,4)
46.40 1.9571 10.2 (5,-1,2)
46.56 1.9507 4.4 (2,-1,5)
46.82 1.9404 4.3 (4,1,1)
47.91 1.8986 1.4 (5,-4,1)
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Energy Properties

Formation Energy/atom
-1.93642
eV/atom
Energy/atom
-6.95688
eV/atom
Energy above Hull
0.0453
eV/atom
Uncorrected Energy
-6.3138
eV/atom
Volume/atom
10.78
ų
c/a Ratio
1.0425

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
11.0024
μB
Mag. Ordering
FM
Mag. Sites
12
Magnetization/Volume
0.012300
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.578
Element Family
Metalloid-Nonmetal
Solute Fraction
0.422
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1438
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.5092
J/mol·K
Ω Parameter
5.1587
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
41.925%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9807
smaller = more stable mixing
VEC
4.759
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.113
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8250
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-774644
Reference Citation

The crystal structure and related material properties of Li11V12(CuO4)12 were obtained from the Materials Project database (MP-ID: mp-774644, 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_Li11V12(CuO4)12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.22335744
_cell_length_b   10.22335744
_cell_length_c   10.65759702
_cell_angle_alpha   77.31742558
_cell_angle_beta   77.31742558
_cell_angle_gamma   117.54338539
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li11V12(CuO4)12
_chemical_formula_sum   'Li11 V12 Cu12 O48'
_cell_volume   894.72248502
_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  0.66670400  0.33329600  0.00000000  1.0
  Li  Li1  1  0.58368800  0.91645700  0.75073800  1.0
  Li  Li2  1  0.24160900  0.24160900  0.75562800  1.0
  Li  Li3  1  0.91645700  0.58368800  0.75073800  1.0
  Li  Li4  1  0.50000000  0.50000000  0.50000000  1.0
  Li  Li5  1  0.33329600  0.66670400  0.00000000  1.0
  Li  Li6  1  0.41631200  0.08354300  0.24926200  1.0
  Li  Li7  1  0.08354300  0.41631200  0.24926200  1.0
  Li  Li8  1  0.75839100  0.75839100  0.24437200  1.0
  Li  Li9  1  0.16636000  0.83364000  0.50000000  1.0
  Li  Li10  1  0.83364000  0.16636000  0.50000000  1.0
  V  V11  1  0.60810300  0.27514400  0.69323700  1.0
  V  V12  1  0.55560200  0.55560200  0.80788100  1.0
  V  V13  1  0.27514400  0.60810300  0.69323700  1.0
  V  V14  1  0.94171600  0.94171600  0.69126600  1.0
  V  V15  1  0.88978700  0.22616900  0.80660000  1.0
  V  V16  1  0.44439800  0.44439800  0.19211900  1.0
  V  V17  1  0.22616900  0.88978700  0.80660000  1.0
  V  V18  1  0.72485600  0.39189700  0.30676300  1.0
  V  V19  1  0.77383100  0.11021300  0.19340000  1.0
  V  V20  1  0.05828400  0.05828400  0.30873400  1.0
  V  V21  1  0.39189700  0.72485600  0.30676300  1.0
  V  V22  1  0.11021300  0.77383100  0.19340000  1.0
  Cu  Cu23  1  0.16212000  0.32805500  0.99862900  1.0
  Cu  Cu24  1  0.00000000  0.50000000  0.00000000  1.0
  Cu  Cu25  1  0.67194500  0.83788000  0.00137100  1.0
  Cu  Cu26  1  0.50000000  0.00000000  0.00000000  1.0
  Cu  Cu27  1  0.32805500  0.16212000  0.99862900  1.0
  Cu  Cu28  1  0.33291700  0.16633300  0.49975300  1.0
  Cu  Cu29  1  0.66708300  0.83366700  0.50024700  1.0
  Cu  Cu30  1  0.83788000  0.67194500  0.00137100  1.0
  Cu  Cu31  1  0.50000000  0.00000000  0.50000000  1.0
  Cu  Cu32  1  0.00000000  0.50000000  0.50000000  1.0
  Cu  Cu33  1  0.16633300  0.33291700  0.49975300  1.0
  Cu  Cu34  1  0.83366700  0.66708300  0.50024700  1.0
  O  O35  1  0.80029100  0.46706900  0.61662800  1.0
  O  O36  1  0.63320900  0.63320900  0.61633800  1.0
  O  O37  1  0.80757200  0.96650700  0.63616100  1.0
  O  O38  1  0.14165900  0.63297500  0.63727200  1.0
  O  O39  1  0.47538300  0.30034800  0.63667800  1.0
  O  O40  1  0.30034800  0.47538300  0.63667800  1.0
  O  O41  1  0.63297500  0.14165900  0.63727200  1.0
  O  O42  1  0.69046600  0.53236300  0.86230000  1.0
  O  O43  1  0.46706900  0.80029100  0.61662800  1.0
  O  O44  1  0.13453000  0.13453000  0.61754600  1.0
  O  O45  1  0.30055500  0.96640200  0.61485600  1.0
  O  O46  1  0.80004400  0.46757300  0.11670400  1.0
  O  O47  1  0.63558300  0.63558300  0.11619600  1.0
  O  O48  1  0.96640200  0.30055500  0.61485600  1.0
  O  O49  1  0.19995600  0.53242700  0.88329600  1.0
  O  O50  1  0.53242700  0.19995600  0.88329600  1.0
  O  O51  1  0.69881000  0.03168400  0.88390300  1.0
  O  O52  1  0.36441700  0.36441700  0.88380400  1.0
  O  O53  1  0.96650700  0.80757200  0.63616100  1.0
  O  O54  1  0.30953400  0.46763700  0.13770000  1.0
  O  O55  1  0.20870600  0.02594400  0.85802700  1.0
  O  O56  1  0.02594400  0.20870600  0.85802700  1.0
  O  O57  1  0.86569200  0.36028000  0.86269000  1.0
  O  O58  1  0.53236300  0.69046600  0.86230000  1.0
  O  O59  1  0.36028000  0.86569200  0.86269000  1.0
  O  O60  1  0.69965200  0.52461700  0.36332200  1.0
  O  O61  1  0.63972000  0.13430800  0.13731000  1.0
  O  O62  1  0.79129400  0.97405600  0.14197300  1.0
  O  O63  1  0.46763700  0.30953400  0.13770000  1.0
  O  O64  1  0.13430800  0.63972000  0.13731000  1.0
  O  O65  1  0.30119000  0.96831600  0.11609700  1.0
  O  O66  1  0.96831600  0.30119000  0.11609700  1.0
  O  O67  1  0.13798800  0.13798800  0.12136900  1.0
  O  O68  1  0.46757300  0.80004400  0.11670400  1.0
  O  O69  1  0.69944500  0.03359800  0.38514400  1.0
  O  O70  1  0.86201200  0.86201200  0.87863100  1.0
  O  O71  1  0.36679100  0.36679100  0.38366200  1.0
  O  O72  1  0.03168400  0.69881000  0.88390300  1.0
  O  O73  1  0.53293100  0.19970900  0.38337200  1.0
  O  O74  1  0.19970900  0.53293100  0.38337200  1.0
  O  O75  1  0.03349300  0.19242800  0.36383900  1.0
  O  O76  1  0.52461700  0.69965200  0.36332200  1.0
  O  O77  1  0.36702500  0.85834100  0.36272800  1.0
  O  O78  1  0.97405600  0.79129400  0.14197300  1.0
  O  O79  1  0.85834100  0.36702500  0.36272800  1.0
  O  O80  1  0.19242800  0.03349300  0.36383900  1.0
  O  O81  1  0.03359800  0.69944500  0.38514400  1.0
  O  O82  1  0.86547000  0.86547000  0.38245400  1.0
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