The exact solution for the free induction decay in a quasi-one-dimensional system in a multi-pulse NMR experiment

TL;DR

This paper derives an exact solution for free induction decay in a one-dimensional multi-pulse NMR experiment, validated by experiments on fluorapatite, enhancing understanding of spin dynamics in quasi-one-dimensional systems.

Contribution

It provides the first exact analytical solution for free induction decay in a 1D multi-pulse NMR setup, applicable at different temperatures.

Findings

Theoretical results agree well with experimental data.

Exact solutions are obtained for both high and low temperatures.

Study advances understanding of spin interactions in quasi-1D systems.

Abstract

The exact solution for the free induction decay in a one-dimensional system in the multi-pulse experiment is obtained at both high and low temperatures in the approximation of nearest neighbor interactions. The experimental investigation is performed on a quasi-one-dimensional system of $^{19}$F nuclear spins in a single crystal of fluorapatite. The theoretical results are in a good agreement with the obtained experimental data.