On the Total Scattering of X-Rays from Crystals

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Abstract
A general formula is derived for the total intensity of x-radiation scattered by a general crystal in any direction. In those directions satisfying the Laue equations the formula gives the usual result, while in other directions there is obtained a formula for the total intensity of the diffuse scattering. The derivation is based on classical electromagnetic theory. The form of the result is independent of any assumptions as to spherical symmetry of the scattering atoms or isotropy of thermal vibrations, these factors merely affecting the numerical values of scattering factors and temperature factors and their dependence on angle. Absorption, and the effects of the interaction of incident and scattered radiation are neglected.