Following are diastereomers (A) and (B) of 3-bromo-3,4-dimethylhexane. On treatment with sodium ethoxide in ethanol, each gives 3,4 -dimethyl-3-hexene as the major product. One diastereomer gives the \(E\) alkene, and the other gives the \(Z\) alkene. Which diastereomer gives which alkene? Account for the stereoselectivity of each \(\beta\)-elimination.

Short Answer

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Explain the stereoselectivity of each β-elimination based on the transition states. Answer: Diastereomer A gives the E alkene, while diastereomer B gives the Z alkene as the major product. The stereoselectivity of each β-elimination is determined by the orientation of the ethoxide ion (base) and the groups to be eliminated in the transition state, with the E configuration resulting when the groups being eliminated are on opposite sides of the double bond, and the Z configuration resulting when the groups being eliminated are on the same side of the double bond.

Step by step solution

01

Draw the structures of the diastereomers

Draw the structures of diastereomers (A) and (B) of 3-bromo-3,4-dimethylhexane.
02

Draw the structures of E and Z alkenes

Draw the structures of 3,4-dimethyl-3-hexene in E and Z configurations.
03

Analyze the elimination in diastereomer A

In diastereomer A, analyze the orientation of the ethoxide ion (base) and the groups to be eliminated: the bromide ion (leaving group) and the proton on the β-carbon. Draw the transition state.
04

Determine the stereochemistry of the major product in diastereomer A

Based on the transition state, determine if the resulting alkene is in the E or Z configuration.
05

Analyze the elimination in diastereomer B

In diastereomer B, analyze the orientation of the ethoxide ion (base) and the groups to be eliminated: the bromide ion (leaving group) and the proton on the β-carbon. Draw the transition state.
06

Determine the stereochemistry of the major product in diastereomer B

Based on the transition state, determine if the resulting alkene is in the E or Z configuration.
07

Assign E and Z alkenes to corresponding diastereomers

Combine the results from steps 4 and 6 to assign the E and Z alkenes to the corresponding diastereomers A and B. Explain the stereoselectivity of each β-elimination based on the transition states.

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