A mechanistic model for the catalytic cracking of n-heptane was develo
ped using a novel mechanism-based lumping scheme that exploits the che
mical similarities within reaction families. The formal application of
13 reaction family matrices, which correspond to the 11 reaction fami
lies in the model, to the matrix representations of the reactants and
derived products generated 70 species, 235 elementary steps and 70 ord
inary differential equations. The reaction family concept was further
exploited to constrain the kinetics within each reaction family to fol
low a quantitative structure/reactivity Polanyi relationship. Ultimate
ly, four Polanyi relationship parameters and one catalyst specific par
ameter were optimized using experimental data obtained from the cracki
ng of n-heptane at 500 degrees C over HZSM-5 with a Si/Al ratio of 21.
25. The model correlations were excellent, as were the a priori predic
tions of experimental results at 450 and 550 degrees C with an HZSM-5
Si/Al ratio of 21.25 and at 500 degrees C with HZSM-5 Si/Al ratios of
35.25 and 63.5. The thus validated model was then used to probe the co
ntrolling elementary steps of n-heptane cracking. Carbonium ion cracki
ng, beta-scission, and hydride transfer were the kinetically significa
nt reactions.