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Mike Bauer

Carbocation rearrangement with expansion of five-membered ring?

David Bangley  Follow

Your proposed mechanism involves a ring expansion from cyclopentane to cyclohexane. This gives very little driving force in terms of relieving strain in the system. Cyclopentane, in a twisted or "envelope" conformation, has some angle strain ($102-106^o$ vs $109.5^o$ $^{ref~1}$) and it does also has some torsional strain down some of its bonds. https://edurev.in/studytube/Configurational-and-Conformational-isomerism-in-cy/1cf8478a-dacb-4d32-b7e4-3b26ce6bcf7d_tThis is mostly alleviated by the move to cyclohexane, if it is in a full chair conformation, but the stabilization of the system is minimal ($25-29kJmol^{-1} $ $^{ref~2}$). Here is a link to a question that deals with ring strain and the calculation of it from $\Delta H$ of combustion.

Along with this, your mechanism proposes this ring opening involving an alkyl shift that moves the carbocation from tertiary to secondary. This involves a destabilizing of the cation due to the reduced hyperconjugation (and inductive effect). Studies have shown that a secondary carbocation is around $67-75kJmol^{-1} $less stable than a tertiary, for simple substituents (and in the gas phase$^{ref~3}$).

In total, the ring opening from a five to six-membered ring in your mechanism does not result in an overall increase in stability. Hence why the second mechanism is suggested to happen instead.

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Jay Beez  Follow
There seems to be something wrong with your ref 2 hyperlink. I cant seem to reach the page it links to.More
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James Byrd  Follow
Sorry. I have fixed the link. It is a secondary source: More
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James Stuart  Follow
I also edited the post. It was meant to read chair conformation, not boat, for cyclohexane.More
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Jean Morris  Follow
Ref 2 updated to umn.edu notes. The data for the overall ring strain of cyclopentane comes from heats of combustion relative to cyclohexaneMore
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James O  Follow
masterorganicchemistry.com/2014/04/18/…More
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