Results
Title

Order dependence of the profile of the intensities of multiple-quantum coherences.

Authors

Lundin, A.; Zobov, V.

Abstract

A modification of the widespread phenomenological model theory of multiple-quantum (MQ) nuclear magnetic resonance spectra of a single cluster of correlated spins has been developed. In contrast to the mentioned theory, the size distribution of such clusters has been consistently taken into account. To obtain the distribution, solutions for the amplitudes of the expansion in the complete set of orthogonal operators are used. Expressions specifying the dependence of the profile of the intensities of MQ coherences on their number n (order) have been obtained. The total form of the dependence has been evaluated by means of the numerical implementation of the resulting expressions. The asymptotic expressions for large n values (wings of the spectrum) have been obtained analytically by the saddle-point method. It has been shown that the dependence under study has a Gaussian central part and exponential wings. The results obtained are in agreement with the previous calculations for some model systems and existing experimental data.

Subjects

QUANTUM coherence; NUCLEAR magnetic resonance spectroscopy; SADDLEPOINT approximations; GAUSSIAN distribution; EXPONENTIAL functions; NUCLEAR spin

Publication

Journal of Experimental & Theoretical Physics, 2015, Vol 120, Issue 5, p762

ISSN

1063-7761

Publication type

Academic Journal

DOI

10.1134/S1063776115040093