If the compounds shown here are heated, one will form one product from a [1,3] sigmatropic rearrangement and the other will form two products from two different [1,3] sigmatropic rearrangements. Draw the products of the reactions.

[1,3] sigmatropic rearrangement is a type of pericyclic reaction where a sigma bond and a pi bond rearrange to form new sigma bonds. This process involves the migration of a substituent from one atom to another, typically occurring in a concerted manner. The reaction is characterized by the movement of atoms or groups across a three-atom framework, leading to the formation of different structural isomers.

Pericyclic reactions are a class of organic reactions that occur through a cyclic transition state and involve the concerted rearrangement of bonding electrons. These reactions include cycloadditions, sigmatropic rearrangements, and electrocyclic reactions. They are governed by the principles of orbital symmetry, which dictate the feasibility and outcome of the reaction based on the alignment of molecular orbitals.

Product distribution in organic reactions refers to the variety and relative amounts of products formed from a given reactant under specific conditions. In the context of sigmatropic rearrangements, the distribution can depend on factors such as sterics, electronics, and the stability of the resulting products. Understanding product distribution is crucial for predicting reaction outcomes and designing synthetic pathways.