Answer the following questions for the pi molecular orbitals of 1,3,5,7-octatetraene. 1. Which are the bonding MOs, which are the antibonding MOs? 2. Which MOs are symmetric and which are antisymmetric? 3. Which MO is the HOMO and which is the LUMO in the ground state? 4. Which MO is the HOMO and which is the LUMO in the excited state? 5. How many nodes does the highest-energy molecular orbital of 1,3,5,7-octatetraene have between the nuclei?