Abstract

One of the most controversial issues in the application of the lattice fringe imaging technique concerns the interpretation of the local fringe spacing. It is well-known from the work of Hashimoto et. al. that the specimen configuration may cause the fringe spacings in an image to deviate from the true interplanar spacings of the crystal. Their paper qualitatively described the effects on fringe spacings of variations in specimen thickness, t, and deviation from the Bragg condition, s, and illustrated their results with the first experimental fringe images of Menter. In this paper an explicit formula for spacings in a fringe image is presented and applied to various specimen configurations and materials currently being studied by high resolution techniques which have much closer lattice spacings (∼2 Å) than have previously been considered.

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