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SN1 Mechanism

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Consider the reaction below:

If the above reaction occurs via an SN1 reaction mechanism, then propose an explanation for why a racemic mixture is not formed in this reaction.
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An Sn1 reaction normally procedes via the formation of a "planar" (flat) carbocation intermediate. And as there is an equal probability of the incoming nucleophile attacking the carbocation intermediate from the top or the bottom of this plane, inversion of configuration is not seen as in the case with a Sn2 reaction mechanism. In fact, if we start with a specific enantiomer (optically active), racemization typically ...

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