Accession Number : AD0807464

Title :   APPLICATION OF COMPUTER FACILITIES FOR THE DETERMINATION OF SIZE DISTRIBUTION IN POLYMER LATICES.

Descriptive Note : Technical rept.,

Corporate Author : WAYNE STATE UNIV DETROIT MI DEPT OF CHEMISTRY

Personal Author(s) : Yajnik, Mukul ; Witeczek, Jack ; Heller, Wilfried

Report Date : 01 FEB 1967

Pagination or Media Count : 7

Abstract : Fortran programs were developed to compute light scattering functions for hetero-disperse systems which can be described by a bi-parametric, unimodal, exponential distribution function. The programs had to include the evaluation of the Mie functions for angular scattering for any arbitrary values of the size parameter alpha. This involves the calculation of the Riccati-Bessel functions and Legendre polynomials. Several methods of numerical integration of the expressions containing the products of the Mie functions and the distribution function were investigated. Gaussian quadrature could yield the results of integration with better precision but its use required a considerable amount of machine time and thus it was adopted only for part of the results obtained. The simpler Simpson's rule allowed one to store the Mie functions needed in the integration, and as some of our studies have shown, its results come close (within the limits of experimental error of light scattering methods) to those obtained from the Gaussian method. The computer has also been used for fitting the experimentally obtained light scattering data with the theoretical ones. (Author)

Descriptors :   *PARTICLE SIZE), (*COMPUTER PROGRAMS, (*POLYMERS, PARTICLE SIZE), STATISTICAL DISTRIBUTIONS, COMPUTERS, DIFFERENTIAL EQUATIONS, BESSEL FUNCTIONS, FUNCTIONS(MATHEMATICS), CURVE FITTING, SCATTERING, THEORY, PARTICLES, NUMERICAL METHODS AND PROCEDURES, ERRORS, DISTRIBUTION.

Subject Categories : Physical Chemistry
      Statistics and Probability
      Computer Programming and Software
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE