An important application of mosaic crystals is in monochromators for x-ray and neutron radiation.
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When the crystallites are mostly ordered with just some random spread of orientations, one has a mosaic crystal.
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A mosaic crystal is supposed to consist of smaller crystalline units that are somewhat misaligned with respect to each other.
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The mosaic crystal model goes back to a theoretical analysis of X-ray diffraction by C . G . Darwin ( 1922 ).
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In 1997, he published a generic solution of the Darwin-Hamilton equations that provide an approximative description of multiple Bragg reflection by a mosaic crystal.
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