The factors influencing the rate of isomerization of alkyl
radicals is investigated using ab initio calculations
on the example of the 2-methylhexyl radical. The equilibrium
geometries of the isomers and the transition
structures of 16 isomerization channels connecting them are determined
at the UHF/6-31G* level. The
isomerization energies and barrier heights are calculated at the
MP-SAC2/6-311G** level. The most stable
isomer is the tertiary radical, less stable are the secondary isomers,
and the least stable are the primary isomers
of the 2-methylhexyl radical, the largest energy difference being about
3.5 kcal mol-1. The heights of
the
barriers separating the isomers depend on the relative location of the
radical center before and after the reaction.
The barrier height for 1,2 as well as 1,3 H atom transfer is about
37−40 kcal mol-1, that for the 1,4, 1,5,
and
1,6 isomerizations is lower, about 20, 13, and 15 kcal
mol-1, respectively. The height of the
barrier, and,
accordingly, the activation energy vary by about 2 or 3 kcal
mol-1 depending on the substitution in the
ring
of the cyclic transition structure and the concomitant change of the
reaction enthalpy. Our RRKM calculations
show that the fastest isomerization reaction is the 1,5 H atom transfer
taking place through a six-membered
cyclic transition structure. The relative importance of 1,4 and
1,6 H atom transfers to that of 1,5 isomerization,
however, being dependent on the pressure and temperature, may not be
negligible, and they together may
exceed 30%.