Page 16 - Academic Press Encyclopedia of Physical Science and Technology 3rd Analytical Chemistry
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 Encyclopedia of Physical Science and Technology  En001f25  May 7, 2001  13:58







              Analytical Chemistry                                                                        555

              due to electrons that circulate in the molecule contain-  higher, the resolution of the instrument improves, and
              ing the absorbing nucleus. Circulation of charge creates a  600-MHz instruments for proton studies are now avail-
              magnetic field, which can reduce or enhance the applied  able. A pair of secondary field coils are located paral-
              field in a local area so that                      lel to the high-power magnet faces for the adjustment of
                                                                field strength over small ranges. A radiofrequency source
                             H 0 = H A (1 − σ),
                                                                consisting of oscillator coils is mounted perpendicular to
              where H 0 is the resultant field and is equal to the origi-  the magnetic field direction and provides plane-polarized
              nal applied field H A corrected for the shielding parameter  radiation. The signal produced by nuclei in resonance
              σ. A compound is chosen as a standard for calibration  is detected by another coil surrounding the sample and
              if its shielding value is larger than the values commonly  mounted perpendicularly to the radiofrequency source
              associated with the nuclei of interest (e.g., tetramethylsi-  coil. Samples are usually in liquid form and are placed
              lane for proton magnetic resonance studies). Correlation  in a narrow glass tube, which is rapidly spun to elimi-
              of the chemical shift with structure can provide useful  nate the effects of field inhomogeneities. Analysis of solid
              group identification. Chemical shift values for protons are  samples is possible when a special arrangement is avail-
              themostcommonandareoftenreferredtoonaδ orτ scale,  able to orient and rapidly spin the sample (>2 kHz) at a
                                                                “magic angle” in relation to the magnetic field. This an-
                              H ref − H sample × 10 6
                                                                         ◦
                            ∼                                   gle of 54.7 is dictated by geometrical constraints. The
                          δ =
                                                                use of Fourier transform methods (see Section III.A.3)
                                     H ref
                          τ = 10 − δ,                           has provided a means of amplifying the nuclear mag-
                                                                netic resonance signal so that many insensitive nuclei are
              where H ref and H sample are the field strengths required to
                                                                now routinely investigated, as shown in Table VI. Samples
              produce tetramethylsilane and sample resonance, respec-
                                                                are irradiated with a broad radiofrequency spectrum for a
              tively. A summary of some common proton chemical
                                                                short period of time. After this pulse of energy is applied,
              shift values is given in Table VII. Additional information
                                                                the excited nuclei relax to the lower energy states, pro-
              can be garnered from the fine structure of absorption
                                                                viding a time-based free induction decay spectrum. This
              bands, which is known as spin–spin splitting. This occurs
                                                                spectrum represents the overlap of the different resonant
              when the field about one nucleus is affected by the fields
                                                                frequencies, producing a characteristic envelope of time-
              from neighboring nuclei attached to an adjacent atom.
                                                                dependent oscillations. The time-domain spectrum can be
              The degree of splitting reported as frequency differences
                                                                collected in seconds, allowing experiment replication to
              and the relative areas under each separate absorption
                                                                occur hundreds of times in a practical time period. These
              signal can, therefore, provide quantitative information
                                                                spectra can be collected and averaged by computers to
              about the chemical environment.
                                                                provide a tremendous signal-to-noise enhancement and
                Instrumentation incorporates a high-strength, high-
                                                                are finally displayed as conventional frequency-domain
              quality magnet, which may be permanent, electrically in-
                                                                spectra. Modern techniques now allow two-dimensional
              duced, or superconducting. As the field strength becomes
                                                                analysis where excitation scans across different frequency
                                                                ranges are concurrently analyzed to provide information
                                                                about coupling between nuclei.
              TABLE VII Correlation of Common Proton Chemical Shifts
                     Group             δ Scale      τ Scale        Nuclear γ -ray resonance spectroscopy. This
                                                                technique is based on the resonance absorption of γ ra-
              Tetramethylsilane          0           10.00
                                                                diation and is more conventionally known as M¨ossbauer
              H 3 C C (saturated)      1.3–0.7      8.7–9.3
                                                                spectroscopy. The source of the radiation is a nuclide fixed
               CH 2  (saturated)       1.5–1.2      8.5–8.8
                                                                in a solid crystal lattice held below the Debye tempera-
              H 3 C C C                1.9–1.6      8.1–8.4
                                                                ture. In this condition, γ radiation of energies less than
               H 2 C C C               2.3–1.8      7.7–8.2
                                                                150 keV are emitted with no loss of energy. Such quan-
              H 3 C Ar                 2.5–2.1      7.5–7.9
                                                                tized γ photons can undergo resonance absorption by the
              H C C   (nonconjugated)  2.7–2.4      7.3–7.6
                                                                appropriate identical stable nuclide in a solid sample ma-
              H C C   (conjugated)     3.1–2.8      6.9–7.2
                                                                trix. If the chemical environment of the absorbing nu-
              H 3 C O                  4.0–3.3      6.0–6.7
                                                                clide is different from the emitter, energy must be added
               C CH   (cyclic)         5.7–5.2      4.3–4.8
                                                                or subtracted from the radiation to establish resonance.
              ArH (benzenoid)          8.0–6.6      2.0–3.4
                                                                This can be achieved by introducing net motion to the
              R CHO                    9.8–9.5      0.2–0.5
                                                                source or absorber to establish a Doppler motion energy
              R COOH                  11.5–11.0   −1.5to −1.0
                                                                term.
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