Abstract

The high-temperature superconducting phase Bi 2Sr 2CaCu 2O 8+δ belongs to the class of modulated structures. Its structure can be described by a basic structure and an additional harmonic displacement field which is incommensurate with respect to the basic structure. High-resolution electron microscopy was used to determine the atomic sites in the unit cell. From this the displacement field could be determined for the entire crystal. Subsequently, kinematical structure factors were determined for fundamental reflections as well as satellite reflections. Characteristic electron diffraction patterns presented in earlier papers could be reproduced qualitatively and the large intensities of certain satellite reflections can be explained by large kinematical structure factors. The determination of kinematical structure factors allows the calculation of electron wave functions under dynamical conditions including satellite reflections. These calculations are necessary for quantitative high-resolution electron microscopy of incommensurate structures.

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