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A new layer-coupling model is developed for the derivation of the neutron reflectivity and transmissivity for deformed mosaic crystals with absorption in asymmetrical Bragg and Laue geometries. In this model, the mosaic distribution, domain size and crystalline orientation of each layer within the crystal can be different. Correction for primary extinction can also be included. Rocking curves for bent mosaic crystals predicted here based on known parameters are presented together with experimental results to shown the validity of this model.

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