Maximum-Entropy Analysis of Photon Correlation Spectroscopy Data

Su Long Nyeo, Benjamin Chu

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The maximum-entropy formalism is briefly reviewed and then applied as a data analysis tool to estimating characteristic line-width distributions from photon correlation spectroscopy data. Two methods for solving the nonlinear maximum-entropy constrained optimization problem for maximal entropy characteristic line-width distributions are described. The reliability of the formalism is then tested by analyzing several sets of numerically simulated correlation data, which correspond to very broad unimodal characteristic line-width distributions, bimodal distributions, and a negatively skewed unimodal distribution. Experimental data of semidilute ternary solutions consisting of a four-arm star polystyrene (PS) and a linear poly(methyl methacrylate) (PMMA) in toluene are analyzed by the maximum-entropy formalism. From the behavior of the reconstructed characteristic line-width distributions, we can show a definite influence of the invisible (isorefractive) but entangled PMMA on the visible PS coils.

Original languageEnglish
Pages (from-to)3998-4009
Number of pages12
JournalMacromolecules
Volume22
Issue number10
DOIs
Publication statusPublished - 1989 Oct 1

All Science Journal Classification (ASJC) codes

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

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