Analogous to last week's experiment, again we see that there
is an exo and endo assignment to the possible products
in the Diels-Alder adducts. Consider the following figure:
Exo assignment is given to the structure that bears the
maleic anhydride portion in proximity to the smaller carbon bridge.
Conversely, endo assignment is given to the structure with
the maleic anhydride closer to the larger carbon bridge.
In the reader and in lecture, you have learned that the HOMO (Highest
Occupied Molecular Orbital) of one compound must react with the
LUMO (Lowest Unoccupied Molecular Orbital) of another. Here is
a brief overview as to how these energy levels are generated:
Each lobe in the figure above corresponds to a p-orbital. Notice
how the p-orbitals are arranged in the same conjugated system
as in the pi-bonds in cyclopentadiene. Each orbital has two poles
(shaded and non-shaded). It does not matter which side you choose
to be shaded, JUST AS LONG AS YOU ARE CONSISTENT IN YOUR ASSIGNMENT
THROUGHOUT THE GENERATION OF THESE ENERGY LEVELS.
The p-orbitals can be arranged in such a way as to create nodes,
or changes in orbital signs. The number of nodes is directly proportional
to the relative value of energy levels
Notice that the lowest energy level (energy level 1) has zero
nodes (all orbitals are shaded on top and clear on bottom). There
are no sign changes (no alternation in shaded to clear orbitals
on the same side of the molecule). In the second energy level
there is one node as denoted by the dashed line. Take note that
the orbitals are aligned such that each double bond (referring
to the original molecule) has two of the same orbitals. This partially
explains the reason why the next energy level (level 3) is higher
in value, but still has one node.
The third energy level has one node, but the distribution of shaded
and clear orbitals is in such a way that the two orbitals on the
right half of similar sign create a through-space conjugation.
This through-space conjugation is much less favorable than a through-bond
conjugation as observed in energy levels 1 and 2.
Lastly, energy level four is highest (most unstable) because of
its two nodes, where there is no orbital overlap to enable pi-conjugation.
Since there are two pi-bonds in cyclopentadiene, there are four
pi-electrons. These pi electrons are filled in from the lowest
energy level (maximum of two electrons per energy level). Thus
energy level three is the LUMO and energy level two is the HOMO.
Confused? Ask a TA.