The static Debye-Waller factor of defect-induced lattice displacements |
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Authors: | H. Metzger H. Behr J. Peisl |
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Affiliation: | (1) Sektion Physik der Universität, Ludwig-Maximilian-Universität München, Geschwister-Scholl-Platz 1, D-800) München, Germany |
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Abstract: | The attenuation of Bragg scattering intensities due to static displacements is discussed for interstitially dissolved point-defects. It is shown that in the single defect approximation the static Debye-Waller factor (DWF) exp (–2L) decreases linearly with the defect concentrationc and quadratically with the scattering-vectorK (for smallK andc). From a model calculation of the displacements around H in Nb the static DWF is shown to be primarily due to the displacements closest to the impurity. Therefore the measurement of the static DWF can be used as a method to determine these displacements. From X-ray measurements of the integrated Bragg intensities of NbHx single crystals we obtained the displacements of the four nearest neighbours around a tetrahedral interstitial site to beu1=0.1Å. This is in good agreement with the results of our model calculation. |
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