# Rotating-frame nuclear magnetic relaxation of spins diffusing on a disordered lattice: a Monte Carlo model

Lu, Hua, Zhang, Xiaohong and Titman, J.M.
(1997)
*Rotating-frame nuclear magnetic relaxation of spins diffusing on a disordered lattice: a Monte Carlo model.*
Journal of Physics: Condensed Matter, 9 (42).
pp. 9097-9111.
ISSN 0953-8984 (Print), 1361-648X (Online)
(doi:10.1088/0953-8984/9/42/022)

## Abstract

The rotating-frame nuclear magnetic relaxation rate of spins diffusing on a disordered lattice has been calculated by Monte Carlo methods. The disorder includes not only variation in the distances between neighbouring spin sites but also variation in the hopping rate associated with each site. The presence of the disorder, particularly the hopping rate disorder, causes changes in the time-dependent spin correlation functions which translate into asymmetry in the characteristic peak in the temperature dependence of the dipolar relaxation rate. The results may be used to deduce the average hopping rate from the relaxation but the effect is not sufficiently marked to enable the distribution of the hopping rates to be evaluated. The distribution, which is a measure of the degree of disorder, is the more interesting feature and it has been possible to show from the calculation that measurements of the relaxation rate as a function of the strength of the radiofrequency spin-locking magnetic field can lead to an evaluation of its width. Some experimental data on an amorphous metal - hydrogen alloy are reported which demonstrate the feasibility of this novel approach to rotating-frame relaxation in disordered materials.

Item Type: | Article |
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Uncontrolled Keywords: | condensed matter: electrical, magnetic and optical, condensed matter: structural, mechanical & thermal |

Subjects: | Q Science > QA Mathematics > QA76 Computer software Q Science > QC Physics T Technology > TK Electrical engineering. Electronics Nuclear engineering |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:00 |

URI: | http://gala.gre.ac.uk/id/eprint/298 |

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