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What is the order of stability of the cycloalkyl carbocations?

I think the stability should increase as we move from cyclopropyl carbocation to cyclohexyl carbocation, since the angle strain is continuously decreasing. I understand this as, the difference between the stable 120 degree angle of a carbocation and the actual bond angle of the cycloalkyl cation is decreasing on moving from cyclopropyl to cyclohexyl carbocation.

But someone recently told me that the cyclopentyl carbocation is more stable than the cyclohexyl carbocation, citing the faster rate of SN1 reaction observed in 1-chloro-1-methylcyclopentane than in 1-chloro-1-methylcyclohexane.

So what is the actual stability order of these cations?

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