Temporal coarse graining of CO2 and N2 diffusion in Zeolite NaKA; from the quantum scale to the macroscopic

The kinetic CO2-over-N2 sieving capabilities in narrow pore zeolite are dependent on the free energy barriers of diffusion between the zeolite pores, which can be fine-tuned by altering the framework composition. An ab initio level of theory is necessary to accurately compute the energy barriers, while it is desirable to predict the macroscopic scale diffusion for industrial applications. Using spatially constrained ab initio molecu- lar dynamics on the ps time scale, the free energy barriers of diffusion can be predicted for different local pore properties in order to identify those that are rate determining for the pore-to-pore diffusion. Specifically, we investigate the effects of the Na+-to-K+ exchange at the different cation sites and the CO2 loading. These computed energy barriers are then used as input for the Kinetic Monte Carlo method, coarse-graining the dynamic simulation steps to the pore-to-pore diffusion. With this approach we simulate how the identified rate determining properties as well as the application of skin layer surface defects affect the diffusion driven uptake in a realistic powder particle model on a macroscopic time scale. Finally, we suggest a model by combining these effects, which provides an excellent agreement with the experimental CO2 and N2 uptake behaviors presented by Liu et al.