Connection Between the Kinematic and Dynamical Theories of X-Ray Diffraction

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Abstract
The diffraction of x-rays by very small crystals has been described by Laue's kinematic theory; the case of very large crystals is treated by the dynamical theory of Darwin and Ewald. It is shown here that both theories are deducible from limiting cases of a general integral equation. In a subsequent paper this integral equation will be used to give an approximate solution applying to crystals of intermediate size.