Abstract
The "recursion method" is applied to the dynamics of disordered lattices, and is used explicitly to calculate properties of isotopically disordered zinc. The specific heat and atomic motion are calculated for the special case of an isotopically pure lattice and compared to previous experimental and theoretical results. Then M\"ossbauer-effect calculations for the high-resolution $^{67}\mathrm{Zn}$ isotope are presented, including evaluations of the M\"ossbauer line shift with temperature, the anisotropic recoil-free fraction, and the Goldanskii-Karyagin effect. In addition, the effect of zero-point motion on the M\"ossbauer line position and linewidth in isotopically disordered zinc is discussed.
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