Quantitative studies of magnetization transfer by selective excitation and T1 recovery

Water proton longitudinal relaxation has been measured in agar and cross-linked bovine serum albumin (BSA) using modified selective excitation (Goldman-Shen and Edzes-Samulski) pulse sequences. The resulting recovery curves are fit to biexponentials. The fast recovery rate gives magnetization transfer (MT) information, which is complementary to that given by steady-state saturation methods. This rate provides an estimate of the strength of the coupling of the immobile proton pool to the mobile proton pool. Near their optimal pulse power values, the Goldman-Shen and Edzes-Samulski sequences give fast recovery rates that agree with each other. However, these measured fast recovery rates are dependent on the pulse power, an effect not predicted by the coupled two-pool model. For 8% agar and 17% BSA, both methods (at optimal pulse powers) give rates in the neighborhoods of 210 and 64 Hz, respectively. The Goldman-Shen and Edzes-Samulski pulse sequences have several advantages over those techniques based on steady state saturation: no long saturating pulses, shorter measurement time, and reduced necessity for making lineshape or fitting technique assumptions. The principle disadvantages are smaller effects on the NMR signal, less complete characterization of the MT system, and, in the case of the Goldman-Shen sequence, greater pulse power.

Analysis of spin-diffusion measurements by iterative optimisation of numerical models

This work shows how information from a number of solid-state 1H NMR experiments can be combined in a numerical model of a heterogeneous polymer system, which can then be iteratively optimised by varying a small number of parameters to fully represent the spin-diffusion and relaxation behaviour of the system. In this way useful information can be obtained not only about the size of the heterogeneities present, but also about the intrinsic relaxation behavior of the different regions.

Studies of domain morphology in segmented polyurethanes by pulsed NMR

A new technique based on the Goldman-Shen pulse sequence with varying preparation interval is proposed for the study of domain morphology of segmented polyurethanes. The results of numerical calculations of the magnetization recovery in different models of domain morphology show that the method provides new information about the domain morphology which is beyond the reach of the conventional Goldman-Shen experiment. A close agreement of the theoretical predictions with the experimental data on samples of segmented polyurethanes with a fixed molecular mass of the hard blocks and variable molecular mass of the soft blocks reinforces the above statement. The resulting structural parameters obtained by this new NMR technique are compared with the data from the small-angle X-ray scattering (SAXS) method.

Some perspectives on the interpretation of proton NMR spin diffusion data in terms of polymer morphologies

Proton spin diffusion data yield morphological information over dimensions covering approximately the 2-50 nm range. In this article, the interpretation of such data for polymers is emphasized, recognizing that the mathematical framework for much of this interpretation already exists in the literature. Practical issues are considered, for example, a useful scaling of plotted data is suggested, key attributes of the data are identified and ambiguities in the mapping of data into morphological models are spelled out. Discussion is limited to two-phase systems, where it is assumed that, by employing multiple-pulse methods polarization gradients can be generated, whose spunal sharpness is limited solety by the morphological definition of the interfaces. Interpretation of data in terms of morphology and stoichiometry is emphasized, where stoichiometric issues pertain only to chemically heterogeneous systems. Extraction of stoichiometric information from spin diffusion data is not commonly attempted; the discussion included herein allows for the possibility that the composition of phases may be chemically mixed. Methods for generating gradients are discussed only briefly. A standardized spin diffusion plot is proposed and the initial slope of this plot is tocussed on for providing information about morphology and stoichiometry. Ambiguities of interpretation considered include the dimensionality of the deduced morphology and, for systems with chemical heterogeneity the uniqueness of the compositional characterization of each phase. In addition, funite difference methods are used to simulate entire spin diffusion curves for idealized lamellar and hexagonal rod/matrix morphologies. Comparisons of these curves show that distinguishing 1-D and 2-D morphologies on the basis of experimental data is unlikely to be successful over the range of stoichiometrics where such morphologies are expected. Several examples of spin diffusion data are presented. Brief treatments of the following topics are included: finite interface width, estimation of spin diffusion constants, and incorporation of longitudinal relaxation effects. Finally, a short experimental discussion on the preparation of polarization gradients is given including those preparations which make use of differences in the multiple-pulse relaxation time, T1xz. It is noted that T1xz decays may be strongly perturbed in the presence of magic angle spinning, therefore, strategies are also outlined for minimizing these effects.

Proton spin diffusion for spatial heterogeneity and morphology investigations of polymers

The diffusion of Zeeman spin order in the laboratory frame for a system with microscopic spatial heterogeneity, due to either molecular mobility or chemical heterogeneity, has been analysed by solving the diffusion equation in the limit of two different models. By simulation of proton spin diffusion nuclear magnetic resonance (NMR) spectral areas for poly(ethylene oxide) we have demonstrated, for both models, the sensitivity of these observables to phase domain size and to the dimensionality of the diffusion process. The possibility to obtain information about the morphology is analysed. Results from calculations based on the two models are compared with experimental spin diffusion results from 1H NMR spectra of poly(ethylene oxide). Two methods for filtering the z-magnetization from the different phase domains in a solid are discussed. The efficiency of a magnetization dipolar filter based on magic and polarization echoes is presented.

A new approach to determining homopolymer domain sizes in polycarbonate-polyether dialysis membranes by solid-state NMR

The size of micro-separated domains of polyether (PEO), -[CH2CH2O]n-, and polycarbonate (PC), -[(C6H4)-C(CH3)2-(C6H4)-OCO2]m-, in the dialysis membrane 'Gambrane' have been determined using an advanced solid-state NMR technique which exploits differences in 1H spin diffusion. The characteristic diameter of a PEO domain is 4.8 +/- 1.4 nm and that of PC is 5.2 +/- 1.4 nm with a mixed phase region of 0.8 +/- 0.5 nm.

NMR study of collagen-water interactions

A proton magnetic resonance study of different cross-linked collagens was performed as a function of water content and temperature. Collagens from three connective tissues (calf, steer, and cow) were chosen according to the different number of nonreducible multivalent cross-links, which increases during the life of animal. Samples were hydrated under five well-defined water activities (Aw) ranging from 0.44 to 0.85. The transverse and cross-relaxation times of water protons were studied as a function of temperature from -20 up to 100 degrees C. From the temperature dependence of relaxation rates, the dynamics of water molecules can be described according to different processes: exchange of protons at the higher temperatures and dipole-dipole interactions that prevail at the lower temperatures. The exchange processes are analyzed as a function of the residence lifetime of water molecules at the protein interface and of the transfer of spin energy from water protons to macromolecule protons. The proton dipole-dipole interactions are related to the relaxation parameters of protein and water protons. All the relaxation parameters showed specific behavior for the 0.44 water activity for every tissue. The collagen tissue from calf also showed distinct behavior in comparison with other tissues.

Water mobility and structure in poly[2-hydroxyethylmethacrylate] hydrogels by means of the pulsed field gradient NMR technique

The translational mobility of water in poly[2-hydroxyethylmethacrylate] (pHEMA) hydrogels, cross-linked with ethyleneglycoldimethacrylate, was studied by means of the pulsed field gradient (PFG) nuclear magnetic resonance (NMR) technique, which offers the opportunity to study the molecular displacements directly under well-defined equilibrium conditions, resulting in a determination of the self-diffusion coefficient. It is possible to check whether coexisting water phases with different mobilities (on a timescale of ca. 10 ms) are present. The dependence of the diffusion coefficient of water on the degree of hydration and the cross-linker concentration was measured. Magnetic interaction is found to cause cross-relaxation between the protons of water and those of the polymer matrix. This affects the data, rendering the evaluation by the standard equation invalid. An equation taking cross-relaxation into account has been derived. Amplitude measurements have shown that all the water in the gels contributes to the NMR signal. The PFG measurements have shown that the total water phase in a gel diffuses as one homogeneous phase, which can be characterized by a diffusion coefficient. The self-diffusion coefficient is strongly dependent on the degree of hydration of the gel; the cross-linker concentration has no measurable effect. The strong dependence of the diffusion of water on its concentration in the gel has consequences for the modelling of the swelling and drug-release dynamics of pHEMA and necessitates a revision of the present models describing these processes.

Local monitoring of proton spin diffusion in static and rotating samples via spy detection

A method is described for investigating local proton "spin diffusion" by means of a 13C spin probe. The procedure does not require spectral resolution of proton resonance lines and can be applied in the laboratory frame of reference as well as in the rotating frame. Experimental results are presented for a static single crystal of ferrocene and for a powder sample under magic-angle spinning. The spin-diffusion rate constant is found to be proportional to the spinning speed in the range from 1 to 8 kHz.