Debye-Waller factors of copper, silver, and lead

2000 
Using very high intensity $(\ensuremath{\sim}70{Ci)}^{183}\mathrm{Ta}\phantom{\rule{0ex}{0ex}}$ M\"ossbauer sources, we have measured the Debye-Waller factors (DWF's) for the (200), (400), and (600) Bragg reflections of three fcc metals (silver, copper, and lead) as a function of temperature from near 80 K to within about 100 K of their melting temperatures. Our reexamination of earlier measurements on these metals indicated problems with data analysis, and there are serious discrepancies between the present results and those reported earlier by Day, Mullen, and Shukla. We have corrected our data for the effects of thermal expansion, in a manner similar to our earlier paper [Phys. Rev. B 57, 889 (1998)] on alkali halides and reinvestigated the anharmonic contributions to the DWF of these three metals. We have found significant ${Q}^{4}$ contributions to the DWF in both silver and copper, with ${m}_{4}$ values of $1.5(3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}13}{\mathrm{\AA{}}}^{4}/{\mathrm{K}}^{3}$ and $4.1(15)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}{\mathrm{\AA{}}}^{4}/{\mathrm{K}}^{3},$ respectively.
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