Saturday, September 15, 2018

organic chemistry - Is cyclopentadiene or cycloheptatriene more acidic?



Which of the following cyclic compounds are more acidic?


Cyclopenta-1,3,-diene and cyclohepta-1,3,5-triene



The most acidic proton is positioned on the carbon that is at the top of the above drawings (the methylene hydrogens) on each of the two species, as deprotonation allows resonance.


I am aware of Hückel's rule, which states that an aromatic species has $4n+2$ π-electrons. Only the five membered ring would fulfil this requirement. However, I can draw resonance structures where the seven membered conjugate base has the double bond at each position on the ring. I ask why is it not aromatic? Which conjugate base is more stable? Essentially it's a case of aromaticity vs number of resonance structures.



Answer





Essentially it's a case of aromaticity vs number of resonance structures.



Well put!


Aromaticity is a very strong driving force so aromaticity wins out; Huckel's rule is more important than the number of resonance structures. Therefore cyclopentadiene is more acidic than cycloheptatriene. Even though we can draw 7 resonance structures (one with a negative charge on each carbon atom) for the tropylium anion and only 5 for the cyclopentadienyl anion, Huckel's rule tells us that the cyclopentadiene anion ($4n+2$ π electrons, $n=1$) is aromatic while the tropylium anion with 8 π electrons (doesn't fit $4n+2$) is not.


Another example is cyclooctatetraene.


enter image description here


Like benzene, we could draw resonance structures by shifting the double bonds in this molecule too. But this molecule is not aromatic, it does not fit the $4n+2$ rule. In fact, Huckel says with 8 π electrons it is antiaromatic. To avoid this destabilization cyclooctatetraene adopts a tub-like conformation.


enter image description here


(image source)



Again aromaticity trumps resonance structures.


Edit: Huckel's Rule: Aromaticity - Antiaromaticity


If we look at the energetic positioning of the molecular orbitals (MO's) in a cyclic, conjugated polyene, we can quickly understand the basis for Huckel's rule.


We can use Frost diagrams to determine the energetic positioning of these MO's. Here is the diagram for benzene, we see that all of the pi electrons are in bonding MO's, the molecule is a stable aromatic that fits the $4n+2$ rule ($n=1$).


enter image description here


Here is the diagram for cyclooctatetraene, and we see that not all of the electrons are in bonding MO's, two π electrons are in non-bonding MO's. They don't contribute to bonding or stabilization.


enter image description here


This is a $4n$ π electron compound ($n=2$) and accordingly would be classified as antiaromatic by Huckel's rule. As mentioned above, the compound adopts a non-planar conformation to avoid this destabilization.


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