<P> One must note that the cumulant method is valid for small τ and sufficiently narrow G (Γ). One should seldom use parameters beyond μ, because overfitting data with many parameters in a power - series expansion will render all the parameters including Γ _̄ (\ displaystyle \ scriptstyle (\ bar (\ Gamma))) and μ, less precise . The cumulant method is far less affected by experimental noise than the methods below . </P> <P> An alternative method for analyzing the autocorrelation function can be achieved through an inverse Laplace transform known as CONTIN developed by Steven Provencher . The CONTIN analysis is ideal for heterodisperse, polydisperse, and multimodal systems that cannot be resolved with the cumulant method . The resolution for separating two different particle populations is approximately a factor of five or higher and the difference in relative intensities between two different populations should be less than 1: 10 . </P> <P> The Maximum entropy method is an analysis method that has great developmental potential . The method is also used for the quantification of sedimentation velocity data from analytical ultracentrifugation . The maximum entropy method involves a number of iterative steps to minimize the deviation of the fitted data from the experimental data and subsequently reduce the χ of the fitted data . </P> <P> If the particle in question is not spherical, rotational motion must be considered as well because the scattering of the light will be different depending on orientation . According to Pecora, rotational Brownian motion will affect the scattering when a particle fulfills two conditions; they must be both optically and geometrically anisotropic . Rod shaped molecules fulfill these requirements, so a rotational diffusion coefficient must be considered in addition to a translational diffusion coefficient . In its most succinct form the equation appears as </P>

Dynamic light scattering particle size analysis (dls)