{"title":"SAS实验中颗粒粒度的瑞利分布特性","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":"{\"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}","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}
Properties of the Rayleigh-distribution for particle sizing from SAS experiments
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
