It is shown that the topological analysis of the electron localization function (ELF), a measure of the local
Pauli repulsion, is a useful tool to describe the bonding nature of transition structures of simple pericyclic
processes. In this work, we have revisited the [1s,3a]hydrogen, [1a,3s]methyl, and [1a,3s]fluorine simple
sigmatropic rearrangements in the allyl system. Results based on the integrated densities over the ELF basins
and their related properties at the B3LYP/6-311++G(d,p) level of theory showed explicitly a delocalized
structure for the antarafacial (Cs) hydrogen rearrangement, a two radical interaction for the methyl suprafacial
(C2) migration, and a pair−ion interaction for the fluorine suprafacial (Cs) transfer. Results on these well-studied systems confirm the topological analysis of the ELF as a useful descriptor for the study of bonding
structure of pericyclic transition states. In this context, the ELF analysis is shown to be a complementary
value to the Woodward−Hoffmann rules, which provide an orbital symmetry basis of understanding.