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Title: Order dependence of the profile of the intensities of multiple-quantum coherences

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.

Authors:
 [1];  [2]
  1. Russian Academy of Sciences, Semenov Institute of Chemical Physics (Russian Federation)
  2. Russian Academy of Sciences, Kirensky Institute of Physics, Siberian Branch (Russian Federation)
Publication Date:
OSTI Identifier:
22472269
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; ASYMPTOTIC SOLUTIONS; EXPANSION; IMPLEMENTATION; MODIFICATIONS; NMR SPECTRA; SADDLE-POINT METHOD; SPIN

Citation Formats

Lundin, A. A., E-mail: andylun@orc.ru, and Zobov, V. E., E-mail: rsa@iph.krasn.ru. Order dependence of the profile of the intensities of multiple-quantum coherences. United States: N. p., 2015. Web. doi:10.1134/S1063776115040093.
Lundin, A. A., E-mail: andylun@orc.ru, & Zobov, V. E., E-mail: rsa@iph.krasn.ru. Order dependence of the profile of the intensities of multiple-quantum coherences. United States. doi:10.1134/S1063776115040093.
Lundin, A. A., E-mail: andylun@orc.ru, and Zobov, V. E., E-mail: rsa@iph.krasn.ru. Fri . "Order dependence of the profile of the intensities of multiple-quantum coherences". United States. doi:10.1134/S1063776115040093.
@article{osti_22472269,
title = {Order dependence of the profile of the intensities of multiple-quantum coherences},
author = {Lundin, A. A., E-mail: andylun@orc.ru and Zobov, V. E., E-mail: rsa@iph.krasn.ru},
abstractNote = {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.},
doi = {10.1134/S1063776115040093},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 5,
volume = 120,
place = {United States},
year = {2015},
month = {5}
}