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Application of Light Scattering from Dielectric Cylinder Based upon Mie and Rayleigh–Gans–Born Theories to Polymer Systems. IV. An Application to Craze Formation in Glassy Polymers

The structure of the crazes developed in high-impact polystyrene films was studied by means of light scattering technique. The scattering intensity distributions which were measured both photometrically and photographically as a function of strain were analyzed in terms of scattering theories of Mie or Rayleigh–Gans–Born for an isolated and infinitely long cylinder with a size distribution as given by the zeroth-order logarithmic distribution function. The best fit between the measured and calculated scattering curves under VV and HH polarization conditions was accomplished by a simplex method, a method for the minimization of a mathematical function of several variables, the results of which yielded structure parameters characterizing the crazes in the glassy polymers, i.e., the refractive indices parallel and perpendicular to the stretching direction, the size distribution, and number of the craze centers.