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T Matrix for a Substitutional Impurity in Diatomic fcc and bcc Lattices

1969; American Institute of Physics; Volume: 186; Issue: 3 Linguagem: Inglês

10.1103/physrev.186.712

1536-6065

Bal K. Agrawal,

Thermal Radiation and Cooling Technologies

The phonon scattering $T$ matrix is analyzed according to the irreducible representations of the point group pertaining to the perturbation caused by a substitutional impurity in the diatomic fcc and bcc lattices. The effects due to change in mass at the impurity site and the changes in the nearest-neighbor central- and noncentral-force constants for the impurity-host-crystal interaction are taken into account. Relations between lattice Green's functions are derived for the nearest-neighbor interactions in the pure lattice. Simple expressions for the irreducible representations of the $T$ matrix are obtained, by assuming only central forces.