Calculation and properties of trap structural functions for various spatially correlated systems

TL;DR

This paper explores the calculation and properties of trap structural functions (TSFs) in spatially correlated systems, providing analytical methods and numerical verification for simple cluster models in thermoluminescence kinetics.

Contribution

It introduces analytical approaches to determine TSFs based on topological properties, advancing the understanding of TL kinetics in inhomogeneous systems.

Findings

TSFs depend solely on topological properties of solids

Analytical calculation of TSFs is feasible for simple cluster systems

Numerical verification confirms the structural character of TSFs

Abstract

Thermoluminescence (TL) kinetics in spatially inhomogeneous systems can be studied by various Monte Carlo algorithms. Recently, a new analytical approach was suggested for the isolated cluster model. The theory is based on the concept of trap structural functions (TSFs). TSFs depend solely on topological properties of solids. Therefore, knowing TSFs for traps and recombination centres it is possible to calculate TL for various parameters, e.g. different heating schemes and different energy configurations. This paper presents some properties and methods of calculation of TSFs. Structural character of TSFs is verified numerically. It is shown that for simple cluster systems it is possible to calculate the functions analytically.