Isotropic proton chemical shift

Nymand et al. ° performed molecular dynamics simulations on liquid water, and they used the electric field effect formalism [Eq. (6)] to explain the gas to liquid shifts of the and O nuclei. For the proton it turned out that the resulting gas to liquid shift of — 3.86 ppm at 300 K compared well with the experimental value of —4.70 ppm, whereas for O the method failed to reproduce the experiment. Even if electric field gradient terms are introduced, requiring additional quadrupolar shielding polarizabilities, no better results could be obtained for the O gas to liquid shifts. Isotropic proton chemical shifts are obviously a special case where many higher order terms cancel, hence it is justified to use the simple electric field equations in these chemical shift calculations. 

The resulting data are shown in Fig. 1.4, in which is plotted the isotropic NMR chemical shift of all 128 protons, obtained from the QM/MM and the isolated cluster calculations as a function of the fully periodical quantum mechanical results. 

A linear relationship between isotropic 2H chemical shift (6H) and 0---0 distance (r0...o) has also been established [77] for several metal phosphates and minerals. Similarly, for carboxylic acid protons, SH has been shown [78] to depend linearly on r0...0, and for several trihydrogen selenites, SH was shown [79] to correlate linearly with r0...0 and rH...0 distances. 

Isotropic H chemical shifts for weakly hydrogen bonded hydrates have recently been compared [81] with previous data on carboxylic acids with O-H 0 hydrogen bonds of strong and medium strengths. The values of SH for the hydrogen bonded protons in this work varied from 4.8 ppm in NaCl04-H20 to 20.5 ppm in potassium hydrogen malonate. 

A clear correlation between isotropic H chemical shift and the frequency of the O-H stretching vibration has been reported [61] for surface hydroxyl groups in zeolites and related materials, as well as for water molecules in solid hydrates and strongly hydrogen bonded protons in inorganic solids. 

Similar to the situation for 13C, isotropic 15N chemical shifts and the principal components of 15N chemical shift tensors have been used to study N-H- -0=C hydrogen bonds in peptides. It has been shown that isotropic 15N chemical shifts of proton donors (such as N-H) are displaced downfield by ca. 15 ppm, whereas those of proton acceptors are shifted upfield by ca. 20 ppm [110-112]. Amongst the CSA components, S33 (parallel to the C-N bond) has been shown to be most sensitive to the hydrogen bond strength, as reflected by the N- -O distance [113]. Detailed studies of the principal components and orientations of 15N chemical shift tensors for amide nitrogens in simple peptides have been reported recently [114]. This work confirmed that S33 and Siso are the 15N chemical shift parameters that are the most sensitive to details of the hydrogen bonding. It was also found that N-H... 

Only the anisotropy of the magnetic susceptibility influences the isotropic mean value, whereas the complete susceptibility tensor contributes to the chemical shift anisotropy [see Eq. (36)]. The influence of the susceptibility of a spherical symmetric charge distribution on the isotropic chemical shift of a nearby nucleus will be zero, but there is a contribution to the chemical shift tensor. Especially in solid state proton chemical shift investigations this effect is quite remarkable and can be observed when studying proton chemical shift anisotropies. 

The hnal row of Table 29.3 lists the change in the isotropic NMR chemical shift calculated for the bridging proton as a result of H-bond formation [177]. The values for all CH- - -O H-bonds are negative, consistent with the same sign for the OH- - -O bond, another indicator of the similarity between these different interactions. 

The probe molecules of greatest historical interest in catalysis are the Hammett indicators [13]. The difficulty of making reliable visual or spectrophotometric observations of the state of protonation of these species on solids is well known. We have recently carried out the first NMR studies of Hanunett indicators on solid acids [ 14]. This was also the occasion of the first detailed collaboration between the authors of this article, and theoretical methods proved to strongly compliment the NMR experiments. The Hanunett story is told after first reviewing the application of theoretical chemistry to such problems. Central to the application of any physical method in chemistry is the process of modeling the relationship between the observables and molecular structure. However often one does this, it is rarely an exact process. One can rationalize almost any trend in isotropic chemical shift as a function of some variation in molecular structure - after the fact, but the quantitative prediction of such trends in advance defies intuition in most nontrivial cases. Even though the NMR spectrum is a function... 

The 13C NMR sensitivity can sometimes be a problem, but for the kind of samples studied here the effective concentration of monomer units is several molar which does not place excessive demands on present Fourier transform NMR spectrometers. In addition to the sensitivity of the chemical shift to structure (9), the relaxation of protonated carbons is dominated by dipole-dipole interaction with the attached proton (9). The dependence of the relaxation parameters T, or spin-lattice, and Tor spin-spin, on isotropic motional correlation time for a C-H unit is shown schematically in Figure 1. The T1 can be determined by standard pulse techniques (9), while the linewidth at half-height is often related to the T2. Another parameter which is related to the correlation time is the nuclear Overhauser enhancement factor, q. The value of this factor for 13C coupled to protons, varies from about 2 at short correlation times to 0.1 at long correlation... 

Fig. 3 Solid state 31P NMR spectra of fosinopril sodium acquired under single pulse, high-power proton decoupling and various conditions of magic-angle spinning (A) static, (B) 2.5 kHz, (C) 4.0 kHz, (D) 5.0 kHz, and (E) 6.0 kHz. The isotropic chemical shift is designated by an asterisk. (From Ref. 15.)...

Fig. 10.18. IDR (Inverted Direct Response)—HSQC-TOCSY pulse sequence. The experiment first uses an HSQC sequence to label protons with the chemical shift of their directly bound carbons, followed by an isotropic mixing period that propagates magnetization to vicinal neighbor and more distant protons. The extent to which magnetization is propagated in the experiment is a function of both the size of the intervening vicinal coupling constants and the duration of the mixing period. After isotropic mixing, direct responses are inverted by the experiment and proton detection begins.

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