Issue 12, 2022

The ridge integration method and its application to molecular sieving, demonstrated for gas purification via graphdiyne membranes

Abstract

Eyring theory provides a convenient approximation to the rate of a chemical reaction as it uses only local information evaluated near extremal points of a given potential energy surface. However, in cases of pronounced anharmonicity and particularly low-lying vibrational frequencies, deviations from the correct reaction rate can become substantial. Molecular Dynamics simulations, on the other hand, are very costly at higher levels of theory, and of limited use since molecular reactions are ‘rare’ events and hence statistically less accessible. In this article, we present an alternative description for problems of gas separation and storage via two-dimensional materials such as porous graphene or flat metal–organic frameworks. Taking geometric advantage of the typical problem setting, our method is based on a statistical analysis of molecular trajectories near the so-called ‘ridge’, a hypersurface which divides the reaction volume into a reactant and a product side. It allows for more realistic predictions of permeabilities and selectivities, e.g. derived from density functional theory, but without the considerable costs of a full molecular dynamics simulation on the corresponding Born–Oppenheimer potential energy surface. We test our method on the example of methane separation from nitrogen and carbon dioxide via a graphdiyne membrane.

Graphical abstract: The ridge integration method and its application to molecular sieving, demonstrated for gas purification via graphdiyne membranes

Article information

Article type
Paper
Submitted
22 6 2022
Accepted
21 9 2022
First published
21 9 2022

Mol. Syst. Des. Eng., 2022,7, 1622-1638

The ridge integration method and its application to molecular sieving, demonstrated for gas purification via graphdiyne membranes

C. W. Binder, J. K. Krondorfer and A. W. Hauser, Mol. Syst. Des. Eng., 2022, 7, 1622 DOI: 10.1039/D2ME00120A

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