{"title":"Properties of the Rayleigh-distribution for particle sizing from SAS experiments","authors":"Wilfried Gille","doi":"10.1016/S0965-9773(99)00418-3","DOIUrl":null,"url":null,"abstract":"<div><p>The analytic expression of the correlation function of Small-Angle Scattering of a quasi-diluted arrangement of homogeneous spheres, the diameters of which are Rayleigh-distributed, is given. Here, the second derivative of the correlation function is exactly proportional to the size distribution density of the diameters of the spheres. This is a fundamental case for the characterization of nanophases in terms of their chord-length distributions.</p></div>","PeriodicalId":18878,"journal":{"name":"Nanostructured Materials","volume":"11 8","pages":"Pages 1269-1276"},"PeriodicalIF":0.0000,"publicationDate":"1999-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0965-9773(99)00418-3","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nanostructured Materials","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0965977399004183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
The analytic expression of the correlation function of Small-Angle Scattering of a quasi-diluted arrangement of homogeneous spheres, the diameters of which are Rayleigh-distributed, is given. Here, the second derivative of the correlation function is exactly proportional to the size distribution density of the diameters of the spheres. This is a fundamental case for the characterization of nanophases in terms of their chord-length distributions.
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