スピン間の結合定数: 概要

The coupling constant J is a quantitative measure of the field-independent coupling interaction between nuclear spins. It represents the absorption frequency separation between peaks in coupled multiplets, measured in hertz. For bromoethane, the coupling constant is 7.2 Hz, indicating the strength of spin-spin coupling regardless of the NMR operating frequency.

In bromoethane, the three methyl protons couple to two methylene protons three bonds away, following the n+1 rule. The methyl signal splits into a triplet with 1:2:1 intensity ratios, while the methylene signal appears as a quartet with 1:3:3:1 ratios. This mutual coupling occurs through intervening carbon bonds, creating distinct multiplet patterns for each proton group.

Any spin plus-half nucleus polarizes the electron spins in its vicinity to the minus-one-half state. In hydrogen-carbon bonds, the paired electron must have a spin of plus-one-half to maintain this polarization. This electron spin effect transmits through adjacent carbon atoms, allowing methyl and methylene protons to mutually influence each other's magnetic environments.

NMR spectra are reported using four key parameters: chemical shift in ppm, integral value indicating proton count, signal multiplicity showing the splitting pattern, and coupling constant J in hertz. Together, these values provide a complete quantitative description of each signal, enabling precise structural identification and comparison across different NMR instruments.

The coupling constant J measures the direct spin-spin coupling interaction through chemical bonds, which is independent of the external magnetic field strength. NMR spectra recorded at different operating frequencies reveal that J values remain constant, unlike chemical shifts which vary with field strength. This field-independence makes J a reliable structural parameter for identifying molecular connectivity.

In bromoethane, the three methyl protons are coupled to the two methylene protons through three bonds. This three-bond coupling, also called vicinal coupling, produces the characteristic triplet and quartet patterns observed in the NMR spectrum. The 7.2 Hz coupling constant quantifies this long-range interaction across the carbon-carbon bond.

The relative intensities of multiplet peaks follow predictable ratios determined by the n+1 rule and Pascal's triangle. For bromoethane's triplet, the 1:2:1 ratio reflects coupling to two equivalent protons, while the quartet's 1:3:3:1 ratio reflects coupling to three equivalent protons. These intensity patterns arise from the statistical distribution of nuclear spin combinations.