Calculation of the Intensity of Small‐Angle X‐Ray Scattering at Relatively Large Scattering Angles
作者:
Paul W. Schmidt,
Robert Hight,
期刊:
Journal of Applied Physics
(AIP Available online 1959)
卷期:
Volume 30,
issue 6
页码: 866-871
ISSN:0021-8979
年代: 1959
DOI:10.1063/1.1735255
出版商: AIP
数据来源: AIP
摘要:
Since the small‐angle x‐ray scattering intensity can be expressed as a Fourier integral, the techniques of asymptotic expansion of Fourier integrals can be used to calculate the small‐angle x‐ray scattering at relatively large scattering angles. Some asymptotic expansion techniques which are often useful are described. The relation between the scattered intensity at relatively large angles and the characteristic function and its derivatives is discussed. The scattered intensity for both prolate and oblate ellipsoids of revolution is calculated to provide examples of asymptotic expansion methods, and the resulting expressions are evaluated numerically. The behavior of the scattered intensity at relatively large scattering angles for platelet particles of negligible thickness is described.
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