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A new method for determination of particle‐size distribution function from small angle scattering data

 

作者: S. Re Fiorentin,  

 

期刊: Journal of Applied Physics  (AIP Available online 1982)
卷期: Volume 53, issue 1  

页码: 245-249

 

ISSN:0021-8979

 

年代: 1982

 

DOI:10.1063/1.329983

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A new numerical method is presented for calculating the particle‐size distribution function of dilute particle systems from Small Angle Scattering data. The size distribution function, in order to be always positive, is approximated by the square of a combination of cubicB‐splines. The coefficients of the combination are calculated in reciprocal space using the weighted least squares principle, which leads to a variational problem, solved by a Newton‐Gauss‐Marquardt iterative technique. A strategy is presented to enhance resolution in correspondence to the peaks of the distribution. Some results obtained on simulated and experimental points are presented, showing the accuracy of the method.

 

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