Being able to recognize patterns of integration and multiplicity for common functional groups makes structure identification more efficient. Draw the pattern of integration and multiplicity you'd expect to see for each common alkyl group.
(d)

Verified step by step guidance

1. Identify the structure of the t-butyl group, which is (CH₃)₃C−. It consists of three methyl groups attached to a central carbon atom.
2. Recognize that each of the three methyl groups (CH₃) in the t-butyl group is equivalent due to symmetry. This means they will produce the same NMR signal.
3. Determine the integration pattern: Since there are three equivalent methyl groups, the integration will correspond to 9 hydrogen atoms (3 hydrogens per methyl group times 3 methyl groups).
4. Consider the multiplicity: The central carbon atom in the t-butyl group does not have any hydrogens attached, so the methyl groups are not split by neighboring hydrogens. Therefore, the signal will appear as a singlet.
5. Summarize the expected NMR pattern for a t-butyl group: You would expect to see a singlet with an integration corresponding to 9 hydrogens in the NMR spectrum.

Key Concepts

NMR Spectroscopy

Nuclear Magnetic Resonance (NMR) spectroscopy is a technique used to determine the structure of organic compounds by analyzing the magnetic properties of atomic nuclei. It provides information about the number of hydrogen atoms (integration) and their environment (multiplicity) in a molecule, which helps in identifying functional groups and structural features.

Integration in NMR

Integration in NMR refers to the area under the peaks in an NMR spectrum, which is proportional to the number of hydrogen atoms contributing to that signal. For t-butyl groups, the integration pattern typically shows a single peak corresponding to nine equivalent hydrogen atoms, indicating a symmetrical environment.

Multiplicity in NMR

Multiplicity in NMR describes the splitting of NMR signals into multiple peaks due to spin-spin coupling between neighboring hydrogen atoms. In the case of t-butyl groups, the multiplicity is usually a singlet, as the nine equivalent hydrogens are not coupled to any adjacent hydrogens, resulting in no splitting.