Materials such as zeolites, carbon molecular sieves, and polymers are used
increasingly in the separation of air, based on the difference in diffusion
rate between oxygen and nitrogen through the material. The design of impro
ved materials requires knowledge of the molecular-level phenomena responsib
le for the separation, particularly relative roles of energetic and entropi
c (confinement) effects. This issue is difficult to resolve experimentally,
as evidenced by the wide range in reported literature values reviewed here
. A complementary approach is taken based on a combination of molecular mod
eling, statistical mechanics, and transition-state theory. Selectivities fo
r molecular models of oxygen and nitrogen in microporous structures are cal
culated rising a Monte Carlo technique and resolved into entropic and energ
etic components for a range of pore window sizes. Atomic-level flexibility
(vibration) is considered as well. The calculated entropic selectivities ar
e significantly lower than reported theoretical results, but still consiste
nt with experimental data. The energetic selectivity is very sensitive to t
he window dimensions and flexibility, but the entropic contribution is much
less affected. This also contradicts some previous assumptions in the lite
rature.