A. 4n p system:


Thermal controtatory:
The electrons in the starting material wind up in the lower energy orbitals in the product. The ring closure of butadiene is conrotatory in the ground state.
Thermal disrotatory:
The electrons in the HOMO in the ground state for disrotatory ring closure wind up in the antibonding pi molecular orbital in the product. This means that the activation energy would be too high for the reaction to proceed in a disrotatory fashion. The reaction is thus symmetry forbidden in the ground state. Draw the correlation diagram that would show this (BM p34).
Photochemical ring closure:
A look at the correlation diagrams for the photochemical ring closure gives the opposite conclusions. Photochemical disrotatory ring closure is allowed and photochemical conrotatory ring closure is forbidden. Draw the correlation diagrams that would show these results (BM 44). Remember to promote one electron into the LUMO for the photochemical reaction.
B. 4n + 2 p system:

Follow the same rules to construct the correlation diagram as for the 4n system. The correlation diagram for the allowed ground state disrotatory ring closure is given below. Use correlation diagrams to decide which of the other three possibilities are allowed and which are forbidden.