Abstract
Exact analytic expressions for Green’s functions of the chain type structures with defects in an external periodic field are obtained by the method of Jacobi matrices. A diatomic impurity molecule in a monatomic chain as well as adsorbed chains with a monatomic and a diatomic unit cell are considered. The conditions for the formation and the characteristics of local and gap vibrations are investigated. The evolution of the threshold values of mass of the defect required for the formation of localized vibrations by two isotopic impurities upon a change in the separation between them is analyzed.
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