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How does the stereochemistry of the starting material affect the stereochemistry of the product in a 1,2-methyl shift rearrangement of cyclohexenes? Provide an example reaction and explain the mechanism behind the observed stereochemistry.

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The stereochemistry of the starting material in a 1,2-methyl shift rearrangement of cyclohexenes can significantly affect the stereochemistry of the product. This is because the 1,2-methyl shift occurs via a carbocation intermediate, and the stereochemistry of the starting material determines the conformation of the carbocation intermediate, which in turn influences the stereochemistry of the product.Let's consider an example reaction:Starting material: 1-methylcyclohexene1. In the first step, a proton is removed from the allylic position  carbon adjacent to the double bond  by a strong acid, such as H2SO4, to form a resonance-stabilized allylic carbocation.2. The 1,2-methyl shift occurs, where the methyl group migrates from the carbon adjacent to the carbocation to the carbocation center. This migration occurs via a concerted mechanism, with the breaking of the C-C bond and the formation of the new C-C bond happening simultaneously.3. The stereochemistry of the starting material determines the conformation of the carbocation intermediate. In this case, the methyl group in 1-methylcyclohexene is in an equatorial position, which is more stable due to less steric hindrance. During the 1,2-methyl shift, the methyl group will maintain its equatorial position to minimize steric interactions.4. Finally, a base  such as water or the conjugate base of the acid  deprotonates the newly formed carbocation to generate the alkene product.Product: 3-methylcyclohexeneIn this example, the stereochemistry of the starting material  1-methylcyclohexene  directly affects the stereochemistry of the product  3-methylcyclohexene  because the equatorial position of the methyl group is maintained throughout the reaction. The mechanism behind the observed stereochemistry is the concerted migration of the methyl group during the 1,2-methyl shift, which preserves the stereochemistry of the starting material.
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