Non-Stationary Saturation of Inhomogeneously Broadened Spin Systems with Effective Cross-Relaxation

TL;DR

This paper investigates the non-stationary saturation behavior of inhomogeneously broadened EPR lines under effective cross-relaxation, providing a mathematical framework for understanding their exponential temporal evolution.

Contribution

It introduces a generalized kinetic model and calculates the complex susceptibility, advancing the theoretical understanding of dynamic saturation phenomena in spin systems.

Findings

Quantitative description of time-dependent saturation in inhomogeneous spin systems

Derivation of exponential change in susceptibility and related quantities

Framework applicable to EPR line analysis under cross-relaxation

Abstract

Non-stationary saturation of inhomogeneously broadened EPR lines is investigated under effective cross-relaxation. The generalized kinetic equations are solved and the complex susceptibility is calculated. All quantities change in time exponentially.