X-ray scattering by crystals

KRI 63] KRIVOGLAZ M.A., RYBOSHAPKA K.P., Theory of X-ray scattering by crystals containing dislocations, screw and edge dislocations randomly , Fiz. Metal. Metalloved., vol. 15, p. 18-31,1963. 

A more realistic treatment, considering the diffraction from a net of scattering centers, gives rise to the conditions known as the Laue equations. These two approaches to X-ray scattering by crystals can be shown to be equivalent. 

The wave character of moving electrons was established beyond question by the work of the American physicist C. J. Davisson (1881-1958) and the English physicist G, P. Thomson (born 1892). These investigators found that electrons that are scattered by crystals produce a diffraction pattern, similar to that produced by x-rays scattered by crystals, and, moreover, that the diffraction pattern corresponds to the wavelength given by the de Broglie equation. 

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