Publication

Determination of active scalar coupling constants by two-dimensional convolution of complementary cross-peak multiplets

Geoffrey Bodenhausen
1995
Journal Articles

Abstract

Method for detg. the coupling const. between two spins using a suitably chosen pair of selective expts., soft-COSY on the one hand and pure in-pause correlation spectroscopy (PICST) on the other, is presented. In weakly coupled system, soft-COSY yields cross-peak multiplets with structures that are analogous to what can be obtained with small-flip-angle COSY or E.COSY. [on SciFinder (R)]

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Geoffrey Bodenhausen
1995
Journal Articles

Abstract

Official source

Related concepts (13)

Two-dimensional nuclear magnetic resonance spectroscopy

Two-dimensional nuclear magnetic resonance spectroscopy (2D NMR) is a set of nuclear magnetic resonance spectroscopy (NMR) methods which give data plotted in a space defined by two frequency axes rather than one. Types of 2D NMR include correlation spectroscopy (COSY), J-spectroscopy, exchange spectroscopy (EXSY), and nuclear Overhauser effect spectroscopy (NOESY). Two-dimensional NMR spectra provide more information about a molecule than one-dimensional NMR spectra and are especially useful in determining the structure of a molecule, particularly for molecules that are too complicated to work with using one-dimensional NMR.

Convolution

In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions (f and g) that produces a third function () that expresses how the shape of one is modified by the other. The term convolution refers to both the result function and to the process of computing it. It is defined as the integral of the product of the two functions after one is reflected about the y-axis and shifted. The choice of which function is reflected and shifted before the integral does not change the integral result (see commutativity).

Multidimensional discrete convolution

In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice that produces a third function, also of n-dimensions. Multidimensional discrete convolution is the discrete analog of the multidimensional convolution of functions on Euclidean space. It is also a special case of convolution on groups when the group is the group of n-tuples of integers. Similar to the one-dimensional case, an asterisk is used to represent the convolution operation.

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Determination of active scalar coupling constants by two-dimensional convolution of complementary cross-peak multiplets

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Accurate determination of scalar couplings by convolution of complementary two-dimensional multiplets