Abstract
The resonance scattering of phonons by an interstitial impurity atom at the (1/2, 1/2, 1/2) interstice in a simple cubic lattice is investigated by using the double-time Green-function technique. From the Green function, the relaxation time of phonons is obtained. When the frequency omega i of the interstitial impurity atom embedded in the rigid lattice lies inside the phonon band, a sharp resonance scattering of phonons occurs. The peak of this resonance lies at the resonance frequency sigma r. For small interstitial atom mass, omega r is nearly equal to omega i but deviates greatly from omega i for large interstitial atom mass.
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