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Nuclear magnetic resonance spectroscopy (NMR) is a common and successful technique that uses the magnetic properties of individual nuclei. When exposed to an external magnetic field, some nuclei exhibit distinct nuclear spin states, which is the underlying premise of NMR. NMR identifies transitions between spin states specific to the nuclei in issue, as well as their chemical surroundings. However, this only applies to nuclei with spins other than zero; nuclei with spins equal to zero are 'invisible' to NMR spectroscopy. Because of these characteristics, NMR is now utilized to detect chemical structures, monitor reactions, and study cell metabolism, as well as in medicine, biology, physics, industry, and almost every other scientific area.

NMR spectroscopy works by varying the machine's output frequency throughout a specific range while the sample is kept under a constant magnetic field. Most magnets used in NMR equipment to generate magnetic fields range in strength from 6 to 24 T. The sample is placed inside the magnet and surrounded by superconducting coils before being subjected to the radio wave source's frequency. A detector then assesses the data and sends it to the main console.

Nuclear magnetic resonance (NMR) signals occur when nuclei absorb a specific radio frequency and transition from one spin state to another. The nucleus absorbs electromagnetic radiation at a specific frequency that is determined by the magnetic environment surrounding it. The magnetic environment is primarily controlled by the applied field, but it is also influenced by the magnetic moments of adjacent nuclei. Nuclei can be in one of numerous spin states, which creates a variety of magnetic surroundings in which the observed nucleus can resonate. This causes the NMR signal of a nucleus to appear as a multiplet rather than a single peak.

Protons and other nuclei with spins of I = 1/2 have the ability to have two possible magnetic moments, which can split an NMR signal into two signals. Complicated multiplets occur when multiple nuclei divide the signal into two additional peaks, influencing the magnetic surroundings of the nucleus under study. A portion of the signals will overlap if those nuclei have the same magnetic properties, producing peaks with different relative intensities. Based on the nth row—where n is the number of nuclei that are equal to each other but not to the one under study—Pascal's triangle can predict the multiplet pattern. The multiplet's number of peaks in this case is equal to n+1.

 When different types of nuclei are dividing an NMR signal, it changes from a multiplet to a collection of multiplets. This is due to the diverse coupling constants associated with different nuclei. The peaks no longer overlap and provide separate relative intensities when the NMR signal is divided by each nucleus by a distinct breadth. I > 1/2 nuclei have more than two possible magnetic moments, which allows them to split NMR signals into more than two peaks. The expected number of peaks is 2I + 1, given the number of different orientations for the magnetic moment. Actually, though, some of these peaks may be obscured by quadrupolar relaxation. 

Multiplets are focused on the chemical shift predicted for a nucleus if its signal had not been split. The entire size of a multiplet is proportional to the number of nuclei resonating at the specified frequency.

Spin Coupling in molecules

The question of which nuclei can cause splitting to occur arises when one looks at real molecules. Only nuclei with I ≠ 0 are visible in an NMR spectrum. The nucleus can only exist in one possible spin state when I = 0, and it is unable to change states. I = 0 nuclei cannot be detected by NMR because the signal is predicated on the absorption of radio frequency during a nucleus' change in spin state. Additionally, because they only have one potential magnetic moment, they do not divide other NMR signals. Because the majority of carbon atoms are 12C, this significantly simplifies NMR spectra, particularly for organic and organometallic compounds.

A nucleus has to be near enough to the nucleus under observation to alter its magnetic environment in order to produce splitting. Nuclei separated by three or fewer bonds are generally the only ones that can split each other since the splitting actually happens through bonds rather than through space. Nevertheless, splitting might not occur even if two nuclei are sufficiently close to one another. Additionally, the nuclei need to be non-equivalent for splitting to happen. See how these variables impact actual NMR spectra by looking at the chloroethane spectrum.

The chloroethane spectrum shows two sets of peaks: a quartet and a triplet. These result from the protons on the methyl and methylene groups, two distinct forms of I 0 nuclei in the molecule. The two methylene protons (n = 2) split the multiplet corresponding to the CH3 protons, resulting in n + 1 peaks, or 3 peaks, which is a triplet. The multiplet has a relative integration (peak area) of three (one for each proton). A quartet is formed when the three methyl protons (n = 3) split the multiplet corresponding to the CH2 protons, which has an integration of two (one for each proton). The result is n + 1 peaks. Every pair of nuclei divides the other, so in this way, they are coupled.

Coupling Constants

The coupling constant is the difference (in Hz) between a multiplet's peaks. It is specific to the sorts of nuclei that form the multiplet and is unaffected by the field strength of the NMR instrument utilized. For this reason, the coupling constant is stated in Hz rather than ppm. The coupling constant for many common pairs of nuclei is known, which might help when interpreting the spectra.

Coupling constants are frequently expressed as nJ, which denotes the number of bonds (n) between the linked nuclei. They are also known as J(H-H) or JHH, which denotes a bond between two hydrogen atoms. A coupling constant between a phosphorous atom and a hydrogen could be denoted as J(P-H) or JPH. Coupling constants are empirically obtained by measuring the distance between a multiplet's peaks and representing it in Hz.Coupling constants can be computed from spectra using frequency or chemical shift data. Consider chloroethane's spectrum and peak frequencies (measured using a 60 MHz spectrometer).

Nuclei have both charge and spin, or angular momentum, and we know from fundamental physics that a spinning charge produces a magnetic moment. The specific nature of this magnetic moment is the primary focus of NMR spectroscopy. In proton NMR, the local chemical environment causes various protons in a molecule to resonate at different frequencies. The difference in resonance frequencies can be translated into a chemical shift (δ) for each nucleus under study. Because each chemical environment causes a unique chemical shift, peaks in NMR data may be easily assigned to specific functional groups based on structure. 

Stereoisomerism:

Diastereomers

According to their definition, diastereomers are stereoisomers that are not mirror reflections of one another and cannot be superimposed. In general, diastereomers exhibit different reactivity and physical features. 
It's easy to see that the two protons portrayed are constantly in separate chemical environments. This is valid because the R group causes the proton resonance frequencies v1(I) ≠ v2(III), v2(I) ≠ v1(II), and v2(II) ≠ v1(III). Thus, diastereomers have distinct vicinal proton-proton couplings, and the ensuing chemical shifts can be utilized to determine the isomeric composition of the sample.

Enantiomers

Enantiomers are substances with a chiral center. In other words, they are not superimposable mirror images. Unlike diastereomers, the only distinction between enantiomers is their interaction with polarized light. Unfortunately, the indistinguishability of racemates extends to NMR spectra. Thus, to distinguish between enantiomers, we must use an optically active solvent, also known as a chiral derivatizing agent. The first CDA was (α-methoxy-α-(trifluoromethyl)phenylacetic acid) (MTPA, sometimes called Mosher's acid). 

Nuclear magnetic resonance (NMR) is a potent method for chemical characterization. Even though NMR is mostly utilized for liquids and solutions, technology has advanced to the point where NMR of solids may be obtained easily. The development of useable phases, often known as solid state NMR, has invariably improved our ability to identify chemical substances. Solids are never homogeneous, which is why employing them can be problematic. When using a typical NMR, line broadening interactions cannot be addressed by rapid molecule motions, resulting in unwieldy wide lines with little to no relevant information. 

The difference is so dramatic that lines broaden by hundreds to thousands of hertz in solution, compared to less than 0.1 Hz in solution when employing an I = 1/2 spin nucleus. 
Four years later, Gorter conducted the first NMR experiment using lithium fluoride (LiF) and hydrated potassium alum (K[Al(SO4)2]•12H2O) at low temperatures. Unfortunately, he was unable to describe the molecules, and Felix Bloch conducted the first successful NMR for a water solution in 1945. In the same year, Edward Mills Purcell performed the first successful NMR on solid paraffin. Bloch obtained the 1H NMR of ethanol and Purcell obtained that of paraffin in 1949 as part of their ongoing research. During the same year, the chemical importance of chemical shifts was identified. 

Finally, in 1958, the discovery of magic angle spinning enabled high resolution solid state NMR. 
An NMR consists of three primary components: the workstation computer, which is used to run the NMR equipment, the NMR spectrometer console, and the NMR magnet. A standard sample is put into the bore tube and then pneumatically lowered into the magnet.Normally, this area is filled with liquid nitrogen at 77 K. The liquid nitrogen reservoir space is primarily above the magnet, acting as a less expensive refrigerant to prevent infrared radiation from reaching the liquid helium jacket. 

The layer after the liquid nitrogen jacket is a 20 K radiation barrier consisting of aluminum wrapped in alternating layers of aluminum foil and open weave gauze. Its aim is to block infrared radiation that the 77 K liquid nitrogen vessel was unable to eradicate, allowing liquid helium to remain in the liquid phase due to its extremely low boiling point. The liquid helium vessel itself, the next layer, is comprised of stainless steel coated in a single layer of aluminum foil, which serves as an infrared radiation barrier. It is approximately 1.6 mm thick and maintained at 4.2 K.

The aluminum baffle inside the vessel and around the magnet provides additional infrared radiation protection as well as a layer of protection for the superconducting magnet from liquid helium reservoir fluctuations, particularly during liquid helium refills. The relevance is that superconducting magnets at low fields are not totally submerged in liquid helium, while higher field superconducting magnets must keep the superconducting solenoid fully immersed in liquid helium. The vapor above the liquid is enough to keep most magnets superconducting, but if the temperature rises over 10 K, the magnet will quench. During a quench, the solenoid reaches the critical temperature for superconductivity, becomes resistive, and emits heat. This heat boils the liquid helium. As a result, a small opening at the bottom of the baffle allows liquid helium to reach the magnet surface, preventing it from unintended quenching during refills.