Abstract
The dynamical behavior of a substituted impurity atom in an infinite crystal is discussed using partitioning and Green's function techniques in a super-matrix representation. The theory is characterized by dynamic response functions which are expressed in terms of the force constant perturbation matrix and Green's function matrices for the host lattice in the symmetry coordinate representation associated with the impurity atom and its perturbed neighbors. Calculations of the temperature dependence of the mean square displacement (x2)av, mean square velocity (v2)av, and the dynamical response function, K, characterizing the γ-ray cross-section of Sn19 isotopically substituted into germanium have been made. The Green's function for the host lattice is calculated from the frequency spectrum of Phillips obtained from the experimental dispersion curves.
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