General methods for the solution of rate equations for multilevel paramagnetic systems

A general discussion is presented of the solution of rate equations containing non-linear cross-relaxation terms as well as linear spin-lattice terms. When linearization is valid, practical solutions may be obtained to any desired degree of accuracy by means of a matrix perturbation process without...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of physics and chemistry of solids 1964-01, Vol.25 (7), p.751-757
Main Author: Grant, W.J.C
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A general discussion is presented of the solution of rate equations containing non-linear cross-relaxation terms as well as linear spin-lattice terms. When linearization is valid, practical solutions may be obtained to any desired degree of accuracy by means of a matrix perturbation process without the necessity of making simplifying limiting assumptions about the spin-lattice times. When linearization is not valid, but spin-lattice relaxation is negligible, the non-linear solution can always be obtained exactly. If the same cross-relaxation process can occur in a number of mutually exclusive ways, it is shown that each channel must be treated separately, but only one cross-relaxation decay constant results.
ISSN:0022-3697
1879-2553
DOI:10.1016/0022-3697(64)90187-8