Abstract

Reaction pathways leading to the formation of naphthalene by the addition of vinylacetylene to phenyl were examined using density functional theory B3-LYP functionals with the standard triple-zeta basis set, 6-311G(d,p). The chemically activated reaction dynamics were examined employing time-dependent solution of master equations. The addition of phenyl to the triple bond of vinylacetylene was computed to be relatively slow, due to a substantial energy barrier of the intermediate rotation about the double bond. Addition of phenyl to the other end of a vinylacetylene molecule produced equally low rate constants. The most promising pathway appeared to be a two-step reaction sequence via the formation of phenyl-C 4 H 3 molecules. The reaction rate evaluated for this pathway was very close to the value tested in prior flame simulations that demonstrated a dominant character of such a step for naphthalene formation. This indicates that the formation of naphthalene from phenyl and vinylacetylene may play a significant role in flame modeling of aromatic growth, and that the more favorable mechanism of the reaction may be a two-step sequence via the formation of a stable molecular intermediate rather than a “single” chemically activated path. The time-dependent solution of master equations revealed that at flame conditions typical of aromatic growth, the reaction system does not attain a steady state on a timescale of 1 ms, suggesting that dynamics of energy redistribution in such “elementary” reaction systems may need to be treated with inclusion of bimolecular reactions between energized adducts and gaseous partners.

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