Monomolecular reactions of alkanes
in H-MFI were investigated by
means of a dispersion-corrected density functional, ωB97X-D,
combined with a hybrid quantum mechanics/molecular mechanics (QM/MM)
method applied to a cluster model of the zeolite. The cluster contains
437 tetrahedral (T) atoms, within which a T5 region containing the
acid site along with the representative alkane is treated quantum
mechanically. The influence of active site location on reaction energetics
was examined by studying cracking and dehydrogenation reactions of n-butane at two regions in H-MFI–T12, where the proton
is at the intersection of straight and sinusoidal channels, and T10,
where the proton is within the sinusoidal channel. Two transition
states were observed for cracking: one where the proton attacks the
C–C bond and another where it attacks a C atom. Dehydrogenation
proceeds via a concerted mechanism, where the transition state indicates
simultaneous H2 formation and proton migration to the framework.
Intrinsic activation energies can be determined accurately with this
method, although heats of adsorption were found to be higher in magnitude
relative to experiments, which is most likely mainly caused by the
MM dispersion parameters for the zeolite framework atoms. Intrinsic
activation energies calculated for reactions at the T10 site are higher
than those at T12 owing to differences in interaction of the substrate
with the acid site as well as with the zeolite framework, demonstrating
that Brønsted acid sites in H-MFI are not equivalent for these
reactions. Apparent activation energies, determined from calculated
intrinsic activation energies and experimentally measured heats of
adsorption taken from the literature, are in excellent agreement with
experimental results.