Correlation of Diffraction and Transmission Experiments for X-Ray and Neutron Elastic Scattering

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Abstract
The correlation of a neutron cross‐section plot in the cut‐off region and a diffraction pattern has been considered. The cross section for elastic scattering by a sample as determined from transmission experiments has been related to its diffraction pattern. A cross‐section plot can be transformed into a diffraction pattern by combining the cross section and its derivative. Examples of neutron cutoffs exhibiting strain and particle size broadening (carbonyl iron) and exhibiting particle size broadening alone (MgO) have been transformed. The patterns derived by the relation show good agreement with the x‐ray diffraction patterns. Cross‐section plots are sensitive to the state of crystalline perfection of the sample to the same degree as are diffraction patterns. Comparisons between the two should be made by performing the transformations given in the paper.

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