X‐Ray Scattering from Crystals with Intracellular Disorder

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Abstract
X‐Ray scattering from disordered crystals has been the subject of numerous investigations. In this paper an analysis made of the distribution of intensity scattered by crystals with static and dynamic disorder inside each cell resembles a general treatment for fluids. It is shown that only a two‐particle probability distribution function is needed in the theoretical treatment to account for correlated motions of the atoms. This is in contrast with the simpler case of independent motions described by a single‐particle probability distribution, which leads to a generalized Debye‐Waller factor. As an outcome of this approach it is demonstrated that static and dynamic disorder effects on the scattered intensity are indistinguishable for the infinite crystal. On the contrary, very small crystals would be expected to show differences in both cases. Finally the results are applied to the phase transition of NaN02.

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