a: Build a table for the HOMO-LUMO energy gap for a reaction between each diene and each dienophile:
- cyclohexadiene and ethylene
- cyclohexadiene and acrolein
- cyclohexadiene and ethenamine
- cyclohexadiene and ethylene
- ethylene and cyclohexa-2,4-dienylamine
- ethylene and cyclohexa-1,3-diene-1-carbaldehyde
- anthracene and maleic anhydride
b: Directly compare how the HOMO-LUMO energy gap changes when varying the diene and the dienophile (this may be best accomplished by looking at one diene and varying the dienophile, then looking at a second diene and varying the dienophile, and then looking at the last diene and varying the dienophile).
c: Based on the energy gaps calculated above, predict which reaction will proceed the fastest and which will proceed the slowest.
d: Anthracene has three rings. Based on the frontier densities found in Tables 3 and 4, predict the most likely site of a Diels-Alder reaction.