Why do geminal protons that are adjacent to a stereogenic center give rise to two separate signals?

Geminal protons are two protons that are located on adjacent carbon atoms in a molecule. When these geminal protons are present near a stereogenic center, they give rise to two separate signals in a nuclear magnetic resonance (NMR) spectrum.

The reason for this lies in their unique chemical environment. Geminal protons experience different magnetic environments due to the presence of the stereogenic center. This results in a phenomenon called diastereotopicity.

Diastereotopicity occurs when protons in a molecule have different chemical environments, leading to different resonance frequencies in an NMR experiment. In the case of geminal protons adjacent to a stereogenic center, the presence of the stereogenic center creates two chemically distinct environments for the geminal protons. As a result, they exhibit different resonance frequencies and appear as two separate signals in the NMR spectrum.

To understand this concept, one can use the Cahn-Ingold-Prelog (CIP) priority rules. These rules assign priorities to substituents based on their atomic numbers. When determining the stereogenic center's configuration, assign priorities to the groups attached to the stereocenter and visualize the molecule using the Fischer projection or Newman projection.

Once the priorities are assigned, compare the two geminal protons. The proton attached to the higher priority group will experience a slightly different chemical environment compared to the proton attached to the lower priority group. These subtle differences in the local chemical environment result in the two separate signals observed in the NMR spectrum.

In summary, geminal protons located adjacent to a stereogenic center give rise to two separate signals in an NMR spectrum due to their different chemical environments caused by the presence of the stereogenic center and diastereotopicity.