LiBH4 is a βchemoselectiveβ hydride reagent.
Β Β β’ It comfortably reduces an ester $$\;-COOR$$ to a primary alcohol $$\;-CH_2OH$$.
Β Β β’ It does not reduce a free carboxylic acid $$\;-COOH$$ under the same conditions.
The substrate supplied in the question (shown in the paper) contains
Β Β β’ one ester group and one carboxylic-acid group on **adjacent** carbon atoms,
Β Β β’ an already existing stereogenic centre at the carbon bearing the -COOH group.
After LiBH4 treatment only the ester carbonyl is reduced, so:
$$\text{Ester carbon (sp}^2) \;\xrightarrow[\text{LiBH}_4]{\text{reduction}}\;
\text{CH}_2\text{OH (sp}^3)}$$
Thus a **new** stereogenic centre is generated at the carbon that now carries -CH2OH.
Because hydride can approach the planar ester carbonyl from either the Re or the Si face with almost equal ease, two diastereomeric alcohols are produced:
CaseΒ 1: Hydride attack from the Re face β product **P**.
CaseΒ 2: Hydride attack from the Si face β product **Q**.
The configuration at the pre-existing chiral carbon (bearing -COOH) remains unchanged during reduction.
Hence **P** and **Q** differ at only ONE of the two stereogenic centres.
This makes them **diastereomers** (they are neither identical nor enantiomeric).
In the second step (described in the original problem) the -COOH group of both P and Q is esterified (MeOHβ/βH+) to give methyl esters **R** and **S**.
Esterification does not disturb either stereogenic centre; therefore:
β’ R originates from P, S originates from Q.
β’ R and S likewise differ at just one of the two stereogenic centres.
Hence **R** and **S** are also diastereomers.
To summarise:
- P & Q: diastereomeric pair.
- R & S: diastereomeric pair.
Therefore the correct statement is:
OptionΒ C: P & Q are diastereomers, and R & S are diastereomers.