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13. Sketch all the molecular orbitals for a conjugated diene, show the filling with electrons for the ground and excited states, and label the ground and excited state HOMO and LUMO. Use the sketch to clearly show the stereochemistry of all products of the following electrocyclic ring-closing when carried out under thermal conditions and photochemical conditions. Identify, using the molecular orbitals, whether the reaction is taking place via a conrotatory or disrotatory manner. In each case, how many distinct products are formed and what is the relationship between them? (6.5 pts)

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