Temperature Dependence of the Debye-Waller Factor for Copper and Aluminum

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Abstract
The Debye-Waller factor for copper has recently been determined by Flinn et al. by making x-ray intensity measurements from 4-500°K. Flinn et al. were able to explain their results using a central force model for the copper lattice. However, it is well known that this model is inadequate in explaining the vibrational properties of the copper lattice over the entire wavelength region. Since various sets of force constants have been proposed for copper, we calculated the Debye-Waller factor for these sets. It is found that with the present experimental accuracy it is impossible to select between them. Calculations are also given for aluminum using Walker's atomic force constants.