Analysis of the Luminescence Decay on the SiO2 Surface at Different Temperatures within the Multifractal Formalism

Abstract

The kinetics of fluorescence decay of the Bengalese pink dye adsorbed on the surface of wide-porous silica with addition of anthracene is investigated in the case in which the fluorescence decay slows down due to annihilation. The experimental kinetic dependences recorded at temperatures in the interval from 153 to 273 K are examined by methods of multifractal analysis and computer modeling. A comparison of the experimental dependences with the results of computer modeling has demonstrated that changes in the kinetic luminescence characteristics of the system at different matrix temperatures are caused by reorganization of structural elements in the system leading to changes in ordering and fractal dimension of the reagent molecule distribution.

Analysis of Changes in Fractal, Statistical and Kinetic Parameters During the Heteroannihilation of Particles on the Simulated Structurally Inhomogeneous Surfaces

“…The homogeneous subsets that give the largest contribution to the statistical sum (7) for a given q are taken into account. The spectrum of generalized fractal dimensions of Renyi 𝐷 𝑞 , −∞ < 𝑞 < +∞, whose calculation methodology is described in detail in [5,21,22,23], can be used to analyze changes in the fractal parameters of the particle distribution during heteroannihilation of particles on the modeled structurally inhomogeneous surface. The values of the parameter 𝑞 determine the contribution to the statistical sum (7) of cells with different particle densities: from cells with the lowest particle density and low probability of their filling (q-) to cells with the highest particle density and high probability of detection of such cells (q).…”

Multifractal-based assessment of Gilsocarbon graphite microstructures

“…The information dimension, due to the corresponding information entropy, reflects the degree of structural organisation. A higher value of S demonstrates a greater disorder in the structure, Both D1 and D2 are typically more sensitive to the structural changes than D0 and their variation, therefore, might be associated with changes in physical parameters that are dependent on the microstructure state, for example density, the distribution of porosity and elastic modulus [27][28][29].…”