Abstract
A single-site coherent potential approximation (CPA) including force constant changes in the additive limit (designated the CPA-F) is applied to phonons in ${\mathrm{Rb}}_{1\ensuremath{-}c}{\mathrm{K}}_{c}$ alloys. The CPA-F results are in better overall agreement with the neutron scattering measurements of Kamitakahara and Copley than mass-defect CPA results. However, marked discrepancies in the concentration, branch, and wave-vector dependence and in the line shapes remain between CPA-F and experimental neutron scattering cross sections. These discrepancies suggest the need to include multiple scattering from pairs and larger clusters in the theoretical treatment.
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