EFFECT OF THE PLOTTING PARAMETER 'K' UPON LIGHT-SCATTERING RESULTS,

Abstract

The optimization of the Zimm grid fit, as applied to the scattering of light from dilute polymer solutions, is discussed as a function of the plotting parameter 'k'. The characteristic parameters of the polymer and of its solution are relatively insensitive to the choice of 'k'; however, it is shown by a detailed error analysis, that a theoretically predictable value of 'k' minimizes the ratio of a function of error of the independent variable (a linear combination of the concentration and of a function of the scattering angle) to the same function of error of the dependent variable (the reciprocal intensity function). Optimal fit is obtained by choosing a value of the plotting parameter 'k' such that, on the average, the error committed on the independent variable is less than one percent of that committed on the dependent variable. It is thus shown that 'k' is not arbitrary, but that a predictable value can optimize the fit of the grid. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0643718

Entities

People

  • Frederick Eirich
  • Michel Boeul

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Error Analysis
  • Errors
  • Intensity
  • Light Scattering
  • Optimization
  • Plotting
  • Scattering

Readers

  • Approximation Theory.
  • Polymer Science and Technology
  • Spectroscopy.