Application of a Laplace transform method to binary mixtures of spherical particles in solution for low scattered intensity

Abstract

A binary mixture of spherical macromolecules in solution is analysed by a quasi-elastic light-scattering experiment for low intensity levels (less than one photoelectron per coherence time). In this situation, the Laplace transform, Qs), of the distribution of the time interval between two consecutive photoelectrons has been measured. The results have been compared with those obtained by the measurement of the second-order correlation function, g''l(r), for the same exoerimental conditions.

Application of Exponential Kernel to Laplace Transform

“…Some of the well-known kernels include the polynomial, exponential and Gaussian kernels. In particular, the exponential kernel through Laplace transform has been widely used over the years [1]- [6]. The Laplace transform is defined to transform a function from a space, say…”

Fraction estimation of small, dense LDL using autocorrelation function of dynamic light scattering

“…The estimated size distribution is accurate when the size distribution is monomodal: when it has a distinct single peak. Some attempts to evaluate the fraction of a scattering component have been made using the height (ordinate value) or the area (integral of ordinate value) of the particle size distribution obtained in the DLS measurement [10][11][12][13][14][15]. However, the estimated size distribution's shape is known to be neither stable nor repeatable when the true distribution is bimodal or multimodal [14][15][16][17].…”