The Mystery of Retention
Stereochemistry is one of the most fascinating aspects of organic chemistry. It forces us to think in three dimensions. When a molecule undergoes a reaction, we don't just care about what is formed; we care about how it looks in space.
In this problem, we are asked to find a compound that shows retention of configuration during a nucleophilic substitution reaction with a hydroxide ion (OH−).
To solve this, we need to understand what retention actually means. Imagine a chiral center as a highly secure, locked safe. The spatial arrangement of the groups around it is the combination to the lock. If a reaction happens directly at the safe (breaking a bond to the chiral center), the lock is tampered with. Depending on the mechanism, the combination might be completely reversed (inversion in SN2) or scrambled (racemization in SN1).
However, if the reaction happens somewhere else—say, you are just painting the door of the room where the safe is kept—the safe itself is completely untouched. The combination remains exactly the same. This is retention of configuration. It occurs when no bonds to the chiral center are broken during the reaction.
Analyzing the Suspects
Let's look at our options and identify where the reaction is taking place.
In option (a), the molecule is CH3−CH(C6H5)−Br. The bromine atom is directly attached to the chiral carbon. If OH− attacks, it must break the C−Br bond. Because the reaction is happening directly at the chiral center, the spatial arrangement will be altered. It will undergo inversion or racemization, but definitely not retention.
Similarly, in option (d), CH3−CH(C6H13)−Br, the leaving group is again directly bonded to the chiral center. Just like in option (a), the bond to the chiral center is broken, meaning retention is impossible.
The Achiral Imposter
Now, let's examine option (c): CH3−CH(CH3)−Br.
At first glance, it looks like the others. But look closely at the central carbon. It is bonded to a hydrogen, a bromine, and two identical methyl groups (CH3).
For a carbon to be chiral, it must be bonded to four different groups. Because this carbon has two identical groups, it is achiral. The concepts of optical activity, inversion, and retention simply do not apply to achiral molecules. It's a trick option!
The Perfect Alibi
Finally, we arrive at option (b): CH3−CH(C2H5)−CH2Br.
Let's map out the molecule. The bromine is attached to a primary carbon (−CH2−). Is this carbon chiral? No, it has two identical hydrogen atoms.
Where is the chiral center? It's the adjacent α-carbon, which is bonded to a methyl group, an ethyl group, a hydrogen atom, and the −CH2Br group.
When the OH− nucleophile attacks, it targets the primary carbon to kick out the bromine. The reaction happens entirely at the −CH2− group. The chiral center is completely untouched! Not a single bond connected to the chiral carbon is broken.
Because the chiral center is merely a bystander to the reaction happening next door, its spatial arrangement remains perfectly intact. Thus, it exhibits retention of configuration.
Conclusion
This problem beautifully illustrates that stereochemistry isn't just about memorizing SN1 and SN2 outcomes. It's about looking at the molecule as a whole and identifying the exact site of the reaction. By realizing that the reaction in option (b) happens away from the chiral center, we can confidently conclude that the configuration is retained.