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Testing predictions of macroscopic binary diffusion coefficients using lattice models with site heterogeneity.
1Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA. sholl@andrew.cmu.edu
Langmuir : the ACS Journal of Surfaces and Colloids
|April 6, 2006
Summary
Predicting chemical mixture transport in porous materials is crucial. The Skoulidas, Sholl, and Krishna model accurately predicts diffusion coefficients in homogeneous materials but struggles with heterogeneous binding energies.
Area of Science:
- Materials Science
- Chemical Engineering
- Physical Chemistry
Background:
- Predicting mass transport of chemical mixtures in porous materials is vital for applications like adsorbents, membranes, and catalysts.
- Experimental assessment of mixture transport is complex, driving the need for theoretical models using single-component data.
- The Skoulidas, Sholl, and Krishna model offers a theoretical approach to predict mixture diffusion coefficients.
Purpose of the Study:
- To evaluate the accuracy of the Skoulidas, Sholl, and Krishna model for predicting mixture diffusion coefficients.
- To investigate the model's performance in porous materials with heterogeneous binding energy distributions.
- To compare model predictions with simulation results across various conditions.
Main Methods:
- Computed single-component and binary mixture diffusion coefficients using kinetic Monte Carlo simulations.
- Utilized a two-dimensional lattice model to represent porous materials.
- Examined a wide range of lattice occupancies and compositions.
Main Results:
- The Skoulidas, Sholl, and Krishna model demonstrated accuracy for homogeneous binding energy distributions.
- The model's accuracy significantly decreased for materials with strongly heterogeneous energy distributions.
- Simulation results highlighted the impact of binding energy heterogeneity on mixture transport prediction.
Conclusions:
- The theoretical model is reliable for homogeneous porous materials but requires refinement for heterogeneous systems.
- Binding energy heterogeneity is a critical factor influencing the predictive accuracy of mixture diffusion models.
- Further development of models is needed to account for complex energy landscapes in porous materials.