Multiple Scattering of X-Rays and Neutrons. : I. A Recurrence Formula for the Taylor Series Expansion in the Calculation of Intensities

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概要

• 論文の詳細を見る

• This is the first article of a series dealing with experimental and theoretical work on the multiple scattering of X-rays and neutrons with emphasis on their application to the study of crystal defects, which is a rather new use of a known phenomenon. The exact intensity solution for a crystal plate is too complicated when more than 3 beams are simultaneously diffracted by the crystal. Taylor series expansion limited to the first three orders have been calculated, but the errors due to the approximation were not assessed and the use of higher order terms involves exceedingly complicated expressions. In this paper a general recurrence formula for the succesive terms of the Taylor series is presented. Thus, a rapid calculation of any number of terms is now possible.

• 社団法人応用物理学会の論文
• 1974-10-05

著者

• Caticha-ellis S.

  Instituto De Fisica Universidade Estadual De Campinas

• PARENTE CARLOS

  Instituto de Energia Atomica

関連論文

• Multiple Scattering of X-Rays and Neutrons. : I. A Recurrence Formula for the Taylor Series Expansion in the Calculation of Intensities
• Multiple Scattering of X-Rays and Neutrons. III. A Study of the Sensitivity of the Multiple Scattering Method to Measure Lattice Constants
• Multiple Scattering of X-Rays and Neutrons. : II. Neutron Multiple Scattering by an Aluminum Single Crystal

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