Parallel receivers and sparse sampling in multidimensional NMR

The recent introduction of NMR spectrometers with multiple receivers permits spectra from several different nuclear species to be recorded in parallel, and several standard pulse sequences to be combined into a single entity. It is shown how these improvements in the flow and quality of spectral information can be significantly augmented by compressive sensing techniques--controlled aliasing, Hadamard spectroscopy, single-point evaluation of evolution space (SPEED), random sampling, projection-reconstruction, and hyperdimensional NMR. Future developments of these techniques are confidently expected to mitigate one of the most serious limitations in multidimensional NMR--the excessive duration of the measurements.     

Defect state model for localized excitations in LiF

We find that a defect state treatment of localized excitations in LiF within the local density functional formalism accounts remarkably well for the observed experimental (core plus optical gap) excitations — in contrast to the failure of the one-electron band model. We show that when electron relaxation, self-interaction and charge polarization effects are taken into account by treating the excitation as a localized points defect, the improved band model predicts the correct excitation and interband states.     

On the resonant behavior of the16O+15N reaction

The ¹⁶ O+ ¹⁵ N reaction products have been studied by the γ-ray detection method in the CM energy range 15.5 to 36.1 MeV and by the kinematical coincidence method at energies ranging from E _CM =20.6 to 33.5MeV. The γ-ray yield excitation function of the ¹⁶O 3^? inelastic channel shows the existence of resonant structures. Two structures with ～ 1.6 MeV width are observed in the large angle elastic scattering excitation function, they are correlated with the resonances seen in the inelastic channel. Angular momentum assignments were made from the elastic backward angular distributions.     

Fredholm determinants and inverse scattering problems

The Gel'fand-Levitan and Marchenko formalisms for solving the inverse scattering problem are applied together to a single set of scattering phase-shifts. The result is an identity relating two different types of Fredholm determinant. As an application of the method, an asymptotic formula of high accuracy is derived for a particular Fredholm determinant that determines the level-spacing distribution-function in the theory of random matrices.Research sponsored by the National Science Foundation, Grant No. GP-40768X.     

Temperature dependence of NMR spectrum of powdered cobalt

NMR spectra of powdered cobalt were obtained from 290 to 580 K. The hcp phase of powdered, and coarse grained bulk samples give different results, indicating effects due to magnetoelastic interactions of the domain walls with lattice defects.     

Electrophile-mediated cyclizations in carbohydrate chemistry: synthesis of highly functionalized ribofuranose and ribopyranose compounds

Iodine-mediated cyclization of (Z)- and (E)-{=D}-ribohept-2-enonates $\text{1}$ and $\text{2}$ gave exclusively the β-ribofuranose and α-ribofuranose derivatives $\text{3}$ and $\text{4}$, respectively. Cyclization of the (Z)- and (E)-2-heptene-1-ol derivatives $\text{5}$ and $\text{6}$ gave ribofuranose products ($\text{7}$ and $\text{8}$) and a ribopyranose ($\text{9}$), respectively.