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Pericyclic is the name for the family of concerted reactions involving no charged intermediates with a single cyclic transition state. The word pericyclic comes from how the electrons flow round the outside of the ring. Electrocyclic reactions cycloadditions and sigmatropic rearrangements are the three main types.Pericyclic is the name for the family of concerted reactions involving no charged intermediates with a single cyclic transition state. The word pericyclic comes from how the electrons flow round the outside of the ring. Electrocyclic reactions cycloadditions and sigmatropic rearrangements are the three main types.