Quantization of Energy in 1D Model of Crystal Lattice with Local Perturbations Induced by Ion-Beam Impact

Minárik Stanislav ()
Additional contact information
Minárik Stanislav: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia

Research Papers Faculty of Materials Science and Technology Slovak University of Technology, 2015, vol. 23, issue s1, 71-78

Abstract: In this paper, we propose theoretical basis for investigation of dynamics of acoustic phonons in a thin layers containing nano-scale structural inhomogeneities. One-dimensional (1D) model of a crystal lattice was considered to reveal specific features of the processes arising in such system of phonons in equilibrium state. Standard quantization of energy of 1D ionic chain vibrating by acoustic frequencies was carried out while the presence of foreign ions in this chain was taken into account. Since only two dimensions are dominant in thin layers, only longitudinal vibrations of the chain in the plane of the layer were considered. Results showed that foreign ions affect the energy quantization. Phonon-phonon interaction between two phonon`s modes can be expected if the mass of foreign ions implanted by ion-beam differs from the mass of ions in the initial layer.We believe that the obtained results will help to understand the character of phonon systems in nanostructured thin layers prepared by ion-bem technology, and will allow better explain some thermal and electrical phenomena associated with lattice dynamics in such layers.

Keywords: acoustic phonon; quantization; thin layer; 1D ionic chain; phonon modes; structural inhomogeneities (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/rput-2015-0029 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:23:y:2015:i:s1:p:71-78:n:8

DOI: 10.1515/rput-2015-0029

Access Statistics for this article

Research Papers Faculty of Materials Science and Technology Slovak University of Technology is currently edited by Kvetoslava Rešetová

More articles in Research Papers Faculty of Materials Science and Technology Slovak University of Technology from Sciendo
Bibliographic data for series maintained by Peter Golla ().