Williamson's synthesis is used to prepare ethers by reacting an alkoxide ion with a primary alkyl halide.
Example:
\[
\text{CH}_3\text{ONa} + \text{CH}_3\text{Br} \rightarrow \text{CH}_3\text{OCH}_3 + \text{NaBr}
\]
- Here, the nucleophile \( \text{CH}_3\text{O}^- \) attacks the carbon of the alkyl halide in a one-step mechanism.
- The reaction proceeds via a backside attack — a hallmark of \( S_N2 \) (bimolecular nucleophilic substitution).
- No carbocation is formed, which eliminates the possibility of an \( S_N1 \) mechanism.
\[
\boxed{\text{Williamson synthesis proceeds via } S_N2 \text{ mechanism.}}
\]