The regular nanoporous structure make zeolite membranes attractive candidates for separating molecules on the basis of differences in transport rates (diffusion). Since improvements in synthesis have led to membranes as thin as several hundred nanometers by now, the slow transport in the boundary layer separating bulk gas and core of the nanoporous membrane is becoming increasingly important. Therefore, we investigate the predictability of the coefficient quantifying this local process, the surface permeability α, by means of a two-scale simulation approach. Methane tracer-release from the one-dimensional nanopores of an AFI-type zeolite is employed. Besides a pitfall in determining α on the basis of tracer exchange, we, importantly, present an accurate prediction of the surface permeability using readily available information from molecular simulations. Moreover, we show that the prediction is strongly influenced by the degree of detail with which the boundary region is modeled. It turns out that not accounting for the fact that molecules aiming to escape the host structure must indeed overcome two boundary regions yields too large a permeability by a factor of 1.7−3.3, depending on the temperature. Finally, our results have far-reaching implications for the design of future membrane applications.
■ INTRODUCTIONMolecular exchange between a gas reservoir and a nanoporous crystalline solid (e.g., a zeolite membrane or crystal) represents a key design process in applications, such as adsorption, molecular-sieving, catalysis, and ion-exchange. Over the last few decades, a good understanding has been developed with regard to the role 1 and dependence 2−7 of guest diffusion in such regular host structures, that is, the transport mechanism of molecules inside the nanopores far away from the interface to the fluid phase. 8,9 For example, gas diffusion in zeolites is known to be an activated process 4−7 where molecules need to overcome a series of regularly distributed internal diffusion barriers which arise from nanopore shape in the unit cell alone. Many phenomena, including the loading-dependence of the self-diffusion coefficient, can be explained by the variation of such (free) energy barriers. In this context, molecular simulations have been proven to be invaluable, 4,5,10 owing to improved agreement with experiments.11−13 Despite these accomplishments, there are still unresolved problems, 14 many of which are related to the boundary layer separating the gasphase region from the core zeolite space.While cases exist in which the boundary layer may accelerate molecular exchange between the reservoir and the porous host, 15,16 it usually slows down the transport rate close to the surface, 6,7,17−20 leading to the name of this phenomenon: surface barriers. Exciting insights into their nature have been unraveled only recently. 6,7,20 Microscopy experiments 6 in conjunction with mesoscopic modeling 7 evidenced that exceptionally few accessible pore entrances together with a large number of lattice defects (i.e...