modeling of hybrid materials

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Modeling of Hybrid Materials Alessandro Patti Complex Systems Department of Chemical Engineering, URV Tarragona Supervisor: Flor R. Siperstein

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Modeling of Hybrid Materials. Alessandro Patti Complex Systems Department of Chemical Engineering, URV Tarragona Supervisor: Flor R. Siperstein. Summary. Hybrid materials Monte Carlo simulations Aims of the project and applications Simulation method First results Next steps. - PowerPoint PPT Presentation

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Page 1: Modeling of Hybrid Materials

Modeling of Hybrid Materials

Alessandro Patti

Complex SystemsDepartment of Chemical Engineering, URV

TarragonaSupervisor: Flor R. Siperstein

Page 2: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

2

Summary

1. Hybrid materials

2. Monte Carlo simulations

3. Aims of the project and applications

4. Simulation method

5. First results

6. Next steps

Key words: MC simulations, self-assembly, phase diagrams, mesoporous materials

Page 3: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Hybrid materials

Surfactant

Micelle

Hydrophilic headHydrophobic tail

+Inorganic precursor

Organic-inorganicstructured materialOrganic-inorganicstructured material

Synthesis mechanisms:1. LC templating2. Ion exchange

Page 4: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Mesoporous materials

Removal of the organic matter:mesoporous matrix

Pore size: 2 nm < d < 50 nm

Material properties:OpticalMechanicalChemical

Main applications {• Optics• Electronics• Membranes• Catalysis• Sensors

Page 5: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Monte Carlo Simulations

Objective

Calculation of macroscopic properties from microscopic properties

Averaging Method

Ensemble Averages

NVT EnsembleNPT EnsemblemPT Ensemble

Generation of Random Configurations

Use of Random NumberImportance Sampling

Markov ChainMetropolis Algorithm

Approximations

Periodic Boundary ConditionMinimum Image Convention

Neighborhood List

Page 6: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Monte Carlo SimulationsStart

Generate initial configuration

Calculate Energy

Trial MoveAcceptance Criteria

Calculate Summation of Properties

Average Properties End

LoopNcycles

Random Number Generator

PBC and MIC

Importance Sampling

Page 7: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Aims of the project

determine the phase behavior of ordered mesoporous metal oxides using surfactants as structure directing agents

predict the material's final structure and the mechanism for the transformation of spherical micelles into ordered liquid crystals phases

determine the equilibrium of the surfactant-inorganic structures, the regions in the phase diagram where they are observed and the stability of different phases

This research project will try to:

model and understand at a molecular level the formation and properties of self-assembled hybrid materials

Page 8: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Simulation method

3D lattice MC simulations in the N,V,T ensembleInorganic component: silica, 2 connected sites in the boxSurfactant: H4T4 - 8 connected sites in the lattice boxSolvent: water, empty sitesMoves: reptation, bias, partial regrowth

Effective interaction

jjiiijij 2

1

Coordination number: 26

Page 9: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Results

Partial miscibility

L = 24*24*100T* = 8.0Nsurf = 1000Ninorg = 2000 N = 3•109

Page 10: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Results – Phase diagrams

Partial miscibility

T* = 8.0

Ternary Plot

Surfactant0 10 20 30 40 50 60 70 80 90 100

Inorganic

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Solvent

0

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Page 11: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Conclusions

Monte Carlo simulations are used to study the formationand properties of self-assembled hybrid materials

A lattice model is used to represent the organic and the inorganic components

Phase separation and aggregation properties are studied interms of equilibrium and stability of the final structures

Page 12: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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Ternary Plot

Surfactant0 10 20 30 40 50 60 70 80 90 100

Inorganic

0

10

20

30

40

50

60

70

80

90

100

Solvent

0

10

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Next steps

Immiscibility gap??

Its shape and

location

determine the

different liquid

crystal phases

that can be

formed

Page 13: Modeling of Hybrid Materials

Alessandro Patti Modelling of Hybrid Materials

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References

• Phase Separation and Liquid Crystal Self-Assembly in Surfactant-Inorganic- Solvent Systems, Flor R. Siperstein and Keith E. Gubbins, Langmuir 2003, 19, 2049- 2057• Chemical Strategies To Design Textured Materials: from Microporous and Mesoporous Oxides to Nanonetworks and Hierarchical Structures, Galo J. de A. A. Soler-Illia, Clement Sanchez, Benedicte Lebeau and Joel Patarin, Chem. Rev. 2002, 102, 4093-4138• Ternary Oil-Water-Amphiphile Systems: Self-Assembly and Phase Equilibria S.Y. Kim, A. Z. Panagiotopoulos and M. A. Floriano, Molec. Phys., 100, 2213-20, 2002