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why cyclobutyl methyl carbocation cannot show dancing resonance?

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CH2+ has a vacant p-orbital and a very effective overlapping takes place between p-orbital and electron density of cyclopropane ,as shown if figure,and due to this its stability is very high. There is a conjugation between the sigma bond(lone pair) and +ve charge. 

Dancing resonance is a hypothetical phenomenon which is shown in structures of carbocations attached directly to a 3 membered ring.

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Satyajeet Kumar

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