Modelling Benzene Diffusion in a Zeolite with Constraint Molecular Dynamics

7/5/02


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Table of Contents

Modelling Benzene Diffusion in a Zeolite with Constraint Molecular Dynamics

Itinerary:

Zeolites in Chemistry

ZSM5 /Silicalite 1

Benzene in Silicalite-1

Ways Forward

Transition State Theory

Transition State Theory

The Bluemoon Ensemble

Free Energy and Force

The Bluemoon Ensemble - Derivation

The Bluemoon Ensemble - Derivation

The Bluemoon Ensemble - Derivation

Constraint Force

Transmission Coefficient

ReactionCoordinate

ReactionCoordinate

ReactionCoordinate

ReactionCoordinate

ReactionCoordinate

Bz in Silicalite-1 - Working Coordinates

Corrected Constraint Force

Simulations: Force Field

Simulations: Molecular Dynamics

Simulations: Molecular Dynamics

COM Path: Straight Channel (Rigid)

Reaction Coordinate: Straight Channel (R)

Free Energy and Force: Str. Channel (R)

Free Energy and Force: Str. Channel (F)

Transmission Coefficient

COM Path (z): Sinusoidal Channel (Rigid)

COM Path(u): Sinusoidal Channel (Rigid)

Reaction Coordinate: Sin. Channel (R)

Free Energy and Force: Sin. Channel (R)

Free Energy and Force: Sin. Channel (F)

Equilibrium Populations of Adsorption Sites

Rate Constants (Flexible Lattice)

Calculation of Diffusion

Benzene Mean-Squared Displacement

Diffusion Constants (Flexible Lattice)

Conclusions

Author: W Smith

Email: w.smith@dl.ac.uk

Other information:
Computational Science and Engineering CCLRC Daresbury Laboratory Daresbury Warrington WA4 4AD