Localized vibrations in crystal associated with straight screw dislocation
I. M. Dubrovskiı̆Institute of Metal Physics, Academy of Sciences of the Ukrainian SSR and Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRA. S. KovalevInstitute of Metal Physics, Academy of Sciences of the Ukrainian SSR and Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR
ABI
Аннотация
An equation is obtained which describes the vibrations of a crystal containing a straight screw dislocation. It is shown that, irrespective of the conditions in the dislocation core, this equation may have solutions in the form of the modified Bessel function with an imaginary index. These solutions describe bands of localized vibrations. The dispersion laws for these bands are found for simple cubic, face centered cubic, and body centered cubic lattices.
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