Principal component analysis (PCA) was performed on experimental rate constant and theoretical
barrier height data of radical addition reactions involving various carbon- and sulfur-centered
radicals and vinyl-type alkenes. Altogether six data sets were analyzed. In three cases the reactivity
data were completed by certain descriptors, i.e., the electron affinity (EA) and negative ionization
potential (−IP) of alkenes, as well as the exothermicity (−ΔH
r) of reactions. It was found that in
each case the first two principal components account for more than 93% of the total variance in
the data. The scores of the first principal component correlate with EA and (−ΔH
r), whereas those
of the second principal component with (−IP). It is concluded that PCA is able to decompose both
experimental and theoretical reactivity data into nucleophilic and electrophilic components, as well
as into polar and enthalpy terms. In the plots of component loadings the radicals form significant
groups depending on their character. Thus, PCA can classify radicals according to nucleophilicity
and electrophilicity. The PCA results were validated by significant correlations of experimental
and theoretical reactivity data with Hammett σp as well as with the descriptors EA, (−ΔH
r), and
(−IP). The hydroxymethyl radical is classified as strongly nucleophilic, the methyl radical as
moderately nucleophilic, the tert-butoxycarbonylmethyl and cyanomethyl radicals as weakly
nucleophilic, the phenylsulfonyl and tosyl radicals as moderately electrophilic, and the 2,2-dimethyl-4,6-dioxo-1,3-dioxan-5-yl radical as strongly electrophilic. It is concluded that the reactivities of
tert-butoxycarbonylmethyl and cyanomethyl radicals are mainly governed by enthalpy effects. This
conclusion is in agreement with the findings of Giese et al. [Chem.
Ber.
1988, 121, 2063−2066]
and Fischer et al. [Helv.
Chim. Acta
1995, 78, 194−214]. A symmetry pattern of correlations is
proposed: the reactivity correlates with EA for strongly nucleophilic radicals, with EA and (−ΔH
r)
for moderately nucleophilic radicals, with (−ΔH
r) for weakly nucleophilic or weakly electrophilic
radicals, with (−ΔH
r) and (−IP) for moderately electrophilic radicals, and with (−IP) for strongly
electrophilic radicals. On the basis of the symmetry pattern of correlations, it is concluded that
the dominant factors influencing radical addition reactions are polar effects alone for strongly
nucleophilic or strongly electrophilic radicals, polar and enthalpy effects for moderately nucleophilic
or moderately electrophilic radicals, and enthalpy effects alone for weakly nucleophilic or weakly
electrophilic radicals.