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Light scattering data evaluation using legendre polynomials
Author(s) -
Fröse Diethelm
Publication year - 2000
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/1521-3900(200012)162:1<95::aid-masy95>3.0.co;2-h
Subject(s) - legendre polynomials , scattering , deconvolution , radius of gyration , associated legendre polynomials , dispersity , gyration , legendre wavelet , form factor (electronics) , light scattering , structure factor , small angle scattering , multiangle light scattering , flow (mathematics) , mathematical analysis , mathematics , materials science , physics , optics , geometry , orthogonal polynomials , gegenbauer polynomials , wavelet , polymer , nuclear magnetic resonance , polymer chemistry , classical orthogonal polynomials , quantum mechanics , artificial intelligence , wavelet transform , computer science , discrete wavelet transform
Calculation of the masses and the radii of gyration from static light scattering experiments were performed by approximating the measured angle distributions by Legendre polynomials. The method allows a very good fit to the scattering angle 0°. In this paper the method is discussed applied to discretised theoretical form factors of several geometries as well as measured data of latex particles. If the sample is polydisperse, the resulting form factor is the sum of the form factors of the individual particles. An iterative method was developed, that allows the deconvolution of form factors of spherical particles from the measured form factor to give information about the polydispersity of the sample. This form factor analysis will be discussed for experiments using asymmetrical Flow‐Field‐Flow‐Fractionation (a‐FFFF) of complex plant extracts to interpret the measured form factor as the superimposition of two possible elution modes of the a‐FFF.