Surface Vibrations in Semi-Infinite Chains with Consideration of Long-Range Interaction. Surface Vibrations in Cubic Crystals

Autor: Maria Klochko, Andrei Mamalui, Kseniia Minakova, A. Rozhkov, E. Syrkin
Jazyk: English<br />Russian<br />Ukrainian
Rok vydání: 2013
Předmět:
Zdroj: East European Journal of Physics, Iss 1041(2) (2013)
Druh dokumentu: article
ISSN: 2312-4334
2312-4539
Popis: Vibrations within infinite and semi-infinite monoatomic and diatomic chains in approximation of nearest and next nearest neighbors have been considered. Phonon dispersion relations in an infinite and a semi-infinite cubic crystal have been studied. Calculations have been carried out using a unitary methodology based on solving the difference equations. The following methodology is of broad generality and can be used for studying of both continuous and discrete spectrum in crystal models close to real systems. For cubic crystals volume vibrations zones and localized states representing surface waves have been calculated.
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