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Generally, in the following type of reactions, positive charge on $\alpha$-Carbon causes ring expansion, but in the following example positive charge is formed on $\beta$-Carbon and the cation is cyclo-propyl methyl.

enter image description here So is the above rearrangement even practically possible?

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    $\begingroup$ For what it's worth, there are no reports of this reaction in the scientific literature. $\endgroup$ – orthocresol Aug 31 '17 at 7:10
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yes, the rearrangement in carbocation is possible depending upon the condition of reaction and the stability of the new carbocation formed eg- the general order of stabilty for carbocation is 3degree >2degree > 1degree NOTE- the stability of a carbocation depends on aromaticity resonance hyperconjucation inductive effect and sometime ring expansion also occurs

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