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What will be the major product in the following reaction?

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I tried to work out the mechanism, which starts with protonation of the alkene, and I got C to be the answer (which is the answer in the book as well). But, I've heard that three-membered rings generally don't expand due to their exceptional stability. Is this true? And between the alkene and alcohol functional groups, which is more likely to get protonated?

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  • $\begingroup$ Try clicking on the link. I have tried to upload it from the SE app. Anyway here is the link postimg.org/image/izfeyg5uj $\endgroup$ – Karan Singh Feb 16 '16 at 21:28
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    $\begingroup$ How are 3-membered rings exceptionally stable? If anything, they are unstable because of torsional & angle strain... they would love to expand. This reaction is a semipinacol rearrangement, you protonate the alkene, and then push arrows from the OH with the alkyl migration to expand the ring $\endgroup$ – orthocresol Feb 16 '16 at 21:43
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    $\begingroup$ Btw, that non-linear allene (I directly copied it from your original image) triggers me... $\endgroup$ – orthocresol Feb 16 '16 at 21:49
  • $\begingroup$ @orthocresol The orbitals bend for better overlap.I was taught this. Although I may be confusing it with the stability of the cyclopropyl methyl cation. Correct me if I am wrong. $\endgroup$ – Karan Singh Feb 17 '16 at 7:13
  • $\begingroup$ In general, as far as I know, the cyclopropyl methyl cation is very stable, and the final products of a reaction with a nucleophile have nearly equal amounts of the nucleophile attacking the cyclopropyl methyl cation and the cyclobutyl cation.However it may not be very easy to say what might happen in this case, as the final product itself involves an sp2 carbon in the ring. $\endgroup$ – Aditya Anand Feb 17 '16 at 7:38
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Three-membered rings are not exceptionally stable, on the contrary, they suffer a lot of ring strain and readily take part in ring-opening reactions. Exceptions include the Hückel-aromatic cyclopropenyl cation, and the resonance-stabilized cyclopropylmethyl cation.

Your assumption that the alkene is protonated is correct, as this generates a substituted cyclopropylethyl cation. The regioselectivity of the protonation occurs to give the more stable secondary carbocation instead of a a primary carbocation. A 1,2-alkyl shift then occurs, which is in this case assisted by the lone pair on oxygen. Deprotonation of the carbonyl then yields the four-membered ring ketone C (2-methylcyclobutanone). [The carbons are numbered in blue to make it easier to see what's going on: the C1-C3 bond is broken and C3-C4 bond is formed.]

enter image description here

This is similar to the semipinacol rearrangement; in this case, the carbocation is generated via protonation of an alkene instead of by loss of a leaving group.

The formation of products A or B would require protonation of the alcohol group, followed by loss of water in an E1 reaction. In either case, the final deprotonation yields a three-membered ring with an endocyclic or exocyclic double bond, which is more strained than a saturated three-membered ring. This reaction pathway is therefore less favorable than ring expansion. Protonation of the alcohol can certainly happen, but since it does not lead to the formation of any stable products, it is said to be unproductive.

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