Ab initio molecular orbital/Rice-Ramsperger-Kassel-Marcus theory study of multichannel rate constants for the unimolecular decomposition of benzene and the H+C6H5 reaction over the ground electronic state

The potential energy surface for the unimolecular decomposition of benzene and H + C6H5 recombination has been studied by the ab initio G2M(cc, MP2) m ethod. The results show that besides direct emission of a hydrogen atom occ urring without an exit channel barrier, the benzene molecule can undergo se quential 1,2-hydrogen shifts to o-, m-, and p-C6H6 and then lose a H atom w ith exit barriers of about 6 kcal/mol. o-C6H6 can eliminate a hydrogen mole cule with a barrier of 121.4 kcal/mol relative to benzene. o- and m-C6H6 ca n also isomerize to acyclic isomers, ac-C6H6, with barriers of 110.7 and 10 0.6 kcal/mol, respectively, but in order to form m-C6H6 from benzene the sy stem has to overcome a barrier of 108.6 kcal/mol for the 1,2-H migration fr om o-C6H6 to m-C6H6. The bimolecular H + C6H5 reaction is shown to be more complicated than the unimolecular fragmentation reaction due to the presenc e of various metathetical processes, such as H-atom disproportionation or a ddition to different sites of the ring. The addition to the radical site is barrierless, the additions to the o-, m-, and p-positions have entrance ba rriers of about 6 kcal/mol and the disproportionation channel leading to o- benzyne + H-2 has a barrier of 7.6 kcal/mol. The Rice-Ramsperger-Kassel-Mar cus and transition-state theory methods were used to compute the total and individual rate constants for various channels of the two title reactions u nder different temperature/pressure conditions. A fit of the calculated tot al rates for unimolecular benzene decomposition gives the expression 2.26 x 10(14) exp(-53 300/T)s(-1) for T = 1000-3000 K and atmospheric pressure. T his finding is significantly different from the recommended rate constant, 9.0 x 10(15) exp(-54 060/T) s(-1), obtained by kinetic modeling assuming on ly the H + C6H5 product channel. At T = 1000 K, the branching ratios for th e formation of H + C6H5 and ac-C6H6 are 29% and 71%, respectively. H + C6H5 becomes the major channel at T greater than or equal to 1200 K. The total rate for the bimolecular H + C6H5 reaction is predicted to be between 4.5 x 10(-11) and 2.9 x 10(-10)cm(3) molecule(-1) s(-1) for the broad range of t emperatures (300-3000 K) and pressures (100 Torr-10 atm). The values in the T = 1400-1700 K interval, similar to8 x 10(-11) cm(3) molecule(-1) s(-1), are similar to 40% lower than the recommended value of 1.3 x 10(-10) cm(3) molecule(-1) s(-1). The recombination reaction leading to direct formation of benzene through H addition to the radical site is more important than H disproportionations at T < 2000 K. At higher temperatures the recombination channel leading to o-C6H4 + H-2 and the hydrogen disproportionation channe l become more significant, so o-benzyne + H-2 should be the major reaction channel at T > 2500 K. (C) 2001 American Institute of Physics.