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Analysis of Small-Angle Scattering Data from Spherical Particles by both the Indirect Transform Method and the Maximum-Entropy Method by C. S. Tsao; T. L. Lin is a Materials Science article available to read on EtoBox.

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In this paper extensive comparison studies of the indirect transform method (ITM) and the maximumentropy method (MEM) were made for recovering the size distribution of spherical particles. Simulated smallangle scattering (SAS) data with different noise levels for various size distributions are tested. It is found that both the MEM and ITM are capable of accurately recovering the original size distributions for various types of size distributions from simulated SAS data with a 1% noise level. When the noise level of the simulated SAS data is increased to 6%, the size distributions recovered by both the ITM and MEM begin to have many noisy oscillations. It is also found that the MEM is more vulnerable to termination effects, i.e. when low-Q or high-Q data are not available. On the other hand, even for cases with limited-Q-range data the ITM can still accurately recover the original size distribution. This was clearly shown in the analysis of the measured smallangle X-ray scattering data, with a limited Q range, from a ~-quenched zircaloy-4 specimen.

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Author

C. S. Tsao; T. L. Lin

Publisher

International Union of Crystallography; Blackwell Publishing Inc.; International Union of Crystallography (IUCr) (ISSN 0021-8898)

Published

1997

Language

EN

Field

Materials Science (Physical Sciences)