Modeling
of acid-catalyzed hydrocarbon conversion processes at
the mechanistic level requires rate coefficients for a large number
of reactions. The computational demand of finding activation energy
barriers for each reaction is substantially reduced by employing structure–reactivity
correlations such as the Evans–Polanyi relationship that correlates
activation energy with the enthalpy of reaction. However, there are
many species for which the enthalpies of formation are unknown. Therefore,
group additivity methods to specify enthalpies of formation for each
species involved in the reaction network are valuable. Quantum mechanical
(QM) calculations and isodesmic reactions were used to calculate enthalpies
of formation for a number of acyclic and cyclic carbenium ions, including
allylic carbenium ions. These values compare favorably with experimental
values, establishing Gaussian-4 as an accurate QM method for these
calculations. Using these values, Benson-type group additivity values
for enthalpies of formation were then derived through multiple linear
regression. Enthalpies of formation values calculated from the group
additivity scheme capture experimental and QM enthalpies of formation
well and enhance the range of species that can be described by the
group additivity approach.
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