The kinetics of competing multiple-barrier unimolecular dissociations of o-, m-, and p-chlorotoluene radical cations

The kinetics of competing multiple-barrier unimolecular dissociations of o-, m-, and p-chlorotoluene radical cations to C(7)H(7)(+) (benzyl and tropylium) are studied by ab initio/Rice-Ramsperger-Kassel-Marcus (RRKM) calculations. This system presents a very intriguing kinetic example in which the conventional approach assuming a single-barrier or a double-well potential surface with one transition state cannot predict or explain the outcome. The molecular parameters obtained at the SCF level of theory with the DZP basis set are utilized for the evaluation of microcanonical RRKM rate constants with no adjustable parameters. First-principles calculations provide the microscopic details of the reaction kinetics along the two competing multiple-barrier reaction pathways: the rate-energy curves for all elementary steps; temporal variations of the reactants, the reaction intermediates, and the products; and the product yield as a function of energy. The rate constant for each channel is calculated as a function of the internal energy at 0 K. After the thermal correction, the calculated rate-energy curves for the benzyl channel agree well with the photoelectron photoion coincidence data obtained at room temperature for all three isomers. Close agreement between experiments and theory suggests that first-principles calculations taking the full sequence of kinetic steps into account offer a useful kinetic model capable of correctly predicting the outcome of competing multiple-barrier reactions. The slowest process is identified as [1,2] and [1,3] alpha-H migration at the entrance to the tropylium and benzyl channel, respectively. However, the overall rate is determined not by the slowest process, but by the combination of the slowest rate and the net flux toward the product, which is multiplicatively reduced with an increasing number of reaction intermediates. The product yield calculation confirms the benzyl cation as the predominant product. For all isomers, the thermodynamically most stable tropylium ion is produced much less than expected because a large fraction of flux coming into the tropylium channel goes back to the benzyl channel. The benzyl channel is kinetically favored because it involves a lower entrance barrier with fewer rearrangements than the tropylium channel.