Previous studies of polycyclic aromatic hydrocarbons (PAH) from a variety of combustion and pyrolysis
systems have shown that certain aspects of the PAH product distribution, such as the relative abundance of
certain isomers, are invariant over a range of fuels and reactor configurations. One possible explanation is
that fast isomerization, facilitated by the presence of internal and external five-membered rings, may serve to
normalize the product distributions, independent of the fuel or reactor configuration. To examine this possibility,
we have compared experimentally measured PAH product distributions (within isomer families) to computed
theoretical equilibrium distributionsfirst evaluating several quantum chemical methods for thermodynamic
property computation: corrected AM1 semiempirical, HF/3-21G, B3LYP/STO-3G, and B3LYP/6-31G(d).
Of the four methods, the corrected AM1 method is chosen for the equilibrium computations, since its root-mean-square deviation of the computed vibrational frequencies proves to be very close to that of the higher-order HF/3-21G method and since its computation is 100 times fastera major consideration for the large
molecules (3−9 rings) of this study. Using the corrected AM1 method, we have computed the Gibbs free
energies and equilibrium distributions from 250 to 1500 K for the following sets of PAH isomers containing
internally or externally fused five-membered rings: C16H10 = fluoranthene, aceanthrylene, and acephenanthrylene; C18H10 = cyclopent[hi]acephenanthrylene, cyclopenta[cd]fluoranthene, and benzo[ghi]fluoranthene;
C20H10 = dicyclopenta[cd,fg]pyrene, dicyclopenta[cd,jk]pyrene, and dicyclopenta[cd,mn]pyrene; C28H12 =
dicyclopenta[bc,ef]coronene, dicyclopenta[bc,hi]coronene, and dicyclopenta[bc,kl]coronene; C20H12 = benzo[a]fluoranthene, benzo[b]fluoranthene, benzo[j]fluoranthene, and benzo[k]fluoranthene; C28H16 = benzo[a]naphtho[2,3-j]fluoranthene, benzo[a]naphtho[2,3-k]fluoranthene, and benzo[a]naphtho[2,3-l]fluoranthene;
C13H10 = fluorene, benz[e]indene, benz[f]indene, and benz[g]indene. Comparing the computed equilibrium
distributions to those found experimentally in catechol (o-dihydroxybenzene) and anthracene pyrolysis products,
we find close agreement only for the C16H10 isomerscorroborating previous evidence of a facile route for
interconversion of internally and externally fused five-membered rings in this isomer group. Because C16H10
isomers are prominent among PAH in a wide range of pyrolysis and combustion systems, the investigation
and incorporation (into PAH growth models) of C16H10 isomerization kinetics are very important. None of
the other PAH isomer families investigated is found to exhibit such agreement between experimental and
computed results, indicating that other isomerization mechanisms, such as ethylene migration around the
PAH periphery or internal rearrangement of five-membered rings in fluoranthene benzologues, are of less
significance over the time scales considered.