β-Phosphatoxyalkyl radical reactions were studied experimentally and computationally. The 1,1-dibenzyl-2-(diphenylphosphatoxy)-2-phenylethyl radical (1) reacted to give the migration product 2-benzyl-2-(diphenylphosphatoxy)-1,3-diphenylpropyl radical (2) and the elimination product 2-benzyl-1,3-diphenylallyl
radical (3) in a variety of solvents. A modest kinetic solvent effect for reactions of 1 was found. Variable
temperature studies in THF and acetonitrile gave Arrhenius functions with similar log A terms; the entropies
of activation are ∼−5 eu. A deuterated analogue of radical 1 reacted in THF and acetonitrile with rate constants
indistinguishable from those of 1, but the ratio of products 2:3 increased for the deuterated radical requiring
kinetic isotope effects (KIEs) in reactions following the rate-limiting step. In aqueous acetonitrile solutions,
the β,β-dibenzylstyrene radical cation (4) was detected as a short-lived intermediate, and the rate constants for
formation of 3 and 4 indicated that both species derived from a common intermediate. The 1,1-dimethyl-2-(dimethylphosphatoxy)ethyl radical (C1) was studied computationally. Transition states for concerted phosphate
migrations and phosphoric acid elimination were found with energies in the order [1,2]-migration < [1,3]-elimination < [3,2]-migration; each transition state was more polarized than radical C1. A transition state for
homolytic fragmentation of C1 to give 2-methylpropene and the dimethylphosphatoxyl radical could not be
found, but the reaction from the ensemble of these two entities to give the 2-methylallyl radical and phosphoric
acid was followed computationally. KIEs and solvent dielectric effects were computed for each concerted
reaction of C1. The results indicate that radical 1 reacts in all solvents studied by a common pathway involving
initial heterolysis. The first-formed contact pair of radical cation 4 and diphenyl phosphate anion collapses to
products 2 and 3 and, as a minor process, evolves to diffusively free radical cation 4 in aqueous acetonitrile
solutions. A model for heterolytic fragmentation of β-ester radicals involving contact and solvent-separated
ion pairs is presented.
[formula: see text] The 2-(diethylphosphatoxy)-2-(p-methoxyphenyl)-1,1-dimethylethyl radical (1) reacted to give the benzylic radical product from phosphate migration or a radical cation (or a mixture of the two) as a function of solvent. Smooth acceleration in rates of reactions of 1 in solvents of increasing polarity and consistent entropies of activation indicate that radical 1 reacts by common mechanism irrespective of the final products formed, specifically by initial heterolysis to a radical cation-phosphate anion pair.
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