Proton NMR spectra yield a great deal of information about molecular structure because most organic molecules contain many hydrogen atoms, and the hydrogen atoms absorb energy of different wavelengths depending on their bonding environment.
NMR absorbances appear in a spectrum as a series of sharp spikes or peaks. Although there is no vertical scale on the spectrum, the relative height of each peak corresponds roughly to the strength of the absorption. The horizontal scale does not show proton resonances in simple wavelength units. Instead, the position of each peak is normally measured relative to the absorption of the protons in the compound tetramethylsilane, (CH3)4Si. Tetramethylsilane is an inert liquid added in small amounts to the compound being analyzed. All 12 of its hydrogen atoms absorb at the same position to give a single sharp peak, which is arbitrarily assigned a positional value of zero. This peak is then used as a reference point for all other peaks in the spectrum. The hydrogen atoms in the molecule being analyzed generally appear to the left of the reference peak because they absorb radiation of higher energy than the hydrogens of tetramethylsilane.
The distance of the proton absorptions from the reference peak is given by a number called the chemical shift. Each unit of chemical shift represents a fractional increase of one part per million (ppm) in the energy of absorbed radiation, relative to the value for tetramethylsilane. For example, in the proton NMR spectrum of bromoethane, the hydrogen atoms of the CH3 group appear at about 1.6 ppm and the hydrogens of the CH2 group at about 3.3 ppm. Atoms in a molecule have different chemical shifts because they experience slightly different local magnetic fields owing to the presence of nearby electrons. Electrons generate a magnetic field of their own, which reduces the magnitude of the total field at the nucleus. Nuclei that are surrounded by regions of high electron density, such as the hydrogen atoms of tetramethylsilane, are said to be shielded from the applied field of the instrument’s magnet. The electronegative bromine atom in bromoethane pulls electrons away from the carbon and hydrogen atoms. The CH2 hydrogens are more strongly affected than the CH3 hydrogens and thus have a greater chemical shift, because they are closer to the bromine atom. All three hydrogens on the CH3 group are exposed to the same local magnetic field and consequently have the same chemical shift. Such hydrogens are said to be equivalent. The two hydrogens on the CH2 group are also equivalent. The chemical shift of hydrogen atoms is the most important piece of information provided by NMR spectroscopy, because it reveals a great deal about the nature of the bonds around the hydrogen.
Two more features of NMR spectra are important aids to structure assignment. The first is the area of space enclosed by the absorption peaks. The area under the peaks is directly proportional to the number of hydrogen atoms contributing to the peak. NMR spectrometers have a feature, called integration, which, when selected by the user, calculates the area under each peak and plots the result as a line that is displaced vertically at a peak by an amount proportional to the area under the peak. The integration of the bromoethane spectrum, for example, shows that the absorption peaks around 1.6 ppm have an area that is 1.5 times greater than the area of the peaks at 3.3 ppm. This is consistent with, and supports, the assignment of the peaks to the CH3 and CH2 groups because the ratio of the area of the CH3 peak to the CH2 peak is expected to be 3:2, or 1.5:1, for the numbers of hydrogen atoms are in a 3:2 ratio.
The second additional feature is the pattern of the absorption peaks. In the bromoethane example, the CH3 peak is split into three distinct peaks, called a triplet. The CH2 peak is split into four peaks, called a quartet. These multiple peaks are caused by nearby hydrogen atoms through a process termed spin-spin splitting. Each set of equivalent hydrogens on a given carbon is split into an n+1 multiplet by adjacent hydrogen atoms that are nonequivalent to the hydrogens of the given carbon. These splittings are generally observed for all nonequivalent hydrogens bonded to the one or two adjoining carbon atoms. In the bromoethane spectrum, the CH3 absorption appears as a triplet owing to the effects of the two hydrogens on the adjacent CH2 group. Reciprocally, the CH2 absorption is a quartet because of the effects of the three hydrogen atoms on the neighbouring CH3 group.
These three important features of a proton NMR spectrum—chemical shift, relative peak size, and spin-spin splitting—provide detailed information about the number and location of hydrogen atoms in a molecule. By incorporating information gained from carbon-13 magnetic resonance, chemists can often induce an unambiguous structure for a molecule whose molecular formula is known.
Carbon-13 magnetic resonance spectroscopy
Naturally occurring carbon is composed almost entirely of the carbon-12 isotope, which has no magnetic moment and thus is not detectable by NMR techniques. However, carbon-13 (13C) atoms, which make up about 1 percent of all carbon atoms, do absorb radio-frequency waves in a manner similar to hydrogen. Thus, 13C NMR is possible, and the technique provides valuable information about the structure of the carbon skeleton in organic molecules. Because, on average, only 1 out of every 100 carbon atoms in a molecule is a 13C isotope and because 13C atoms absorb electromagnetic radiation very weakly, 13C NMR signals are about 6,000 times weaker than proton signals. Modern instrumentation has overcome this handicap, and 13C NMR has become a readily accessible analytical technique. As in proton spectra, the 13C peaks are plotted as chemical shifts relative to an internal standard, such as the carbon resonance of tetramethylsilane.
The spectrum of the cyclic hydrocarbon methylcyclohexane serves as a useful example of 13C NMR spectroscopy. The chemical shifts of different carbon atoms are larger than for hydrogen atoms, and the five magnetically different 13C atoms appear as five distinct peaks. Unlike proton spectra, however, the peak areas are not directly proportional to the number of absorbing nuclei. Thus, each of the peaks at 35.8 ppm and 26.8 ppm (generated by the two carbon atoms at the positions labeled 3 and 4, respectively, in the figure) are larger than each of the peaks at 23.1 ppm, 33.1 ppm, and 26.8 ppm (generated by the single carbon atoms at positions 1, 2, and 5, respectively) but not in an exact 2:1 ratio. The two atoms labeled at position 3 are magnetically equivalent (as are the two at position 4), because the molecule is symmetrical about a line drawn vertically through its centre.
The 13C spectrum for methylcyclohexane does not show any multiplets arising from spin-spin splitting for two different reasons. The first reason is that spin-spin coupling between two adjacent 13C atoms is so weak that it does not show up on the spectrum. This is because nearly all the 13C atoms in a molecule are bonded to more abundant 12C atoms, which do not give rise to spin-spin splitting. The second reason is that the spin-spin splitting that does occur between 13C atoms bonded to hydrogen atoms has been removed from the spectrum by an instrumental technique termed proton decoupling. Proton decoupling eliminates all the splitting patterns that would normally be observed in a 13C spectrum for all carbon atoms bonded to one or more hydrogen atoms and is done routinely to simplify the spectrum.
Analyzed alone or in combination, proton and 13C NMR spectra allow correct structures to be assigned to many organic compounds, including most isomers.