Abstract

The analysis of the multiple Bragg reflection of a neutron beam of finite size in a semi-infinite mosaic crystal given in a recent paper by Werner and Arrott is generalized to include bounded crystals. The coupled differential equations describing secondary extinction given by Hamilton are solved in general, and a method of piecewise solution, or solution by regions, is given. A discussion is given of experiments on the spatial distribution of the diffracted current from slab-shaped crystals. Various methods for measuring the probability for Bragg scattering per unit path are compared and found not to agree. It is felt that the discrepancies are basic to the mosaic structure of crystals in general.

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