scholarly journals Correlation of proton chemical shifts by two-dimensional Fourier transform NMR

1981 ◽  
Vol 42 (1) ◽  
pp. 164-168 ◽  
Author(s):  
Ad Bax ◽  
Ray Freeman ◽  
Gareth Morris
1982 ◽  
Vol 60 (19) ◽  
pp. 2431-2441 ◽  
Author(s):  
Gareth A. Morris ◽  
Laurance D. Hall

Double Fourier transform ("2D") nmr methods allow the simultaneous measurement of proton and carbon-13 chemical shifts for each directly bonded carbon–proton pair in a molecule. As well as greatly increasing the number of different resonances that may be distinguished in the spectra of complex systems, the measurement of correlated proton and carbon-13 shifts allows the otherwise inaccessible proton shifts to be determined, and facilitates the assignment of conventional proton and carbon-13 spectra. Results are presented for glucose, maltose, maltotriose, α-cyclodextrin, β-cyclodextrin, and dextran T-10; reassignments are proposed for the carbon-13 spectra of maltose and maltotriose.


2012 ◽  
Vol 287 (22) ◽  
pp. 18201-18209 ◽  
Author(s):  
Kosuke Ohgo ◽  
Walter P. Niemczura ◽  
Brian C. Seacat ◽  
Steven G. Wise ◽  
Anthony S. Weiss ◽  
...  

Author(s):  
L. Reimer ◽  
R. Oelgeklaus

Quantitative electron energy-loss spectroscopy (EELS) needs a correction for the limited collection aperture α and a deconvolution of recorded spectra for eliminating the influence of multiple inelastic scattering. Reversely, it is of interest to calculate the influence of multiple scattering on EELS. The distribution f(w,θ,z) of scattered electrons as a function of energy loss w, scattering angle θ and reduced specimen thickness z=t/Λ (Λ=total mean-free-path) can either be recorded by angular-resolved EELS or calculated by a convolution of a normalized single-scattering function ϕ(w,θ). For rotational symmetry in angle (amorphous or polycrystalline specimens) this can be realised by the following sequence of operations :(1)where the two-dimensional distribution in angle is reduced to a one-dimensional function by a projection P, T is a two-dimensional Fourier transform in angle θ and energy loss w and the exponent -1 indicates a deprojection and inverse Fourier transform, respectively.


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