Abstract
The present paper deals with a numerical solution of the two-dimensional problem of helium and methane molecules motion through an ultra-thin layer of a porous material composed of spherical nanoparticles of the same size. The interaction potential “nanoparticle-molecule” is obtained by integrating paired molecular interactions over the nanoparticle volume. Using the method of classical molecular dynamics, permeability of a layer having the size of about 10 −8 m is studied.
Highlights
Production and study of membranes’ physical properties is relevant for the process of separating small molecules from macromolecules [1, 2] in evaluation of catalysts [3, 4]
The present paper deals with a numerical solution of the two-dimensional problem of helium and methane molecules motion through an ultra-thin layer of a porous material composed of spherical nanoparticles of the same size
Track-etched membranes [12] can be produced on the basis of organic molecules [13], proteins [14], copolymers [9, 15, 16], anodic alumina [1, 17, 18], silicon oxide and dioxide [6, 19], silicon [20] and silicon nitride [21]
Summary
Production and study of membranes’ physical properties is relevant for the process of separating small molecules from macromolecules [1, 2] in evaluation of catalysts [3, 4]. There is a growing need for increasing efficiency and selectivity of mixtures separation [10]. In this respect, the role of nanoporous membranes is becoming more noticeable [11]. Track-etched membranes [12] can be produced on the basis of organic molecules [13], proteins [14], copolymers [9, 15, 16], anodic alumina [1, 17, 18], silicon oxide and dioxide [6, 19], silicon [20] and silicon nitride [21]. Whenever intersections of spheres occur, we eliminate them individually by means of spacing the centres of intersecting spheres
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