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Multifractal spectrums for volumes of spatial forms on surface of ZnxCd1−xTe–Si (111) heterostructures and estimation of the fractal surface energy

Moskvin, Pavel ; Kryzhanivskyy, Vyacheslav LU ; Lytvyn, Petro and Rashkovetskyi, Liubomyr (2016) In Journal of Crystal Growth 450. p.28-33
Abstract

Multifractal (MF) analysis is used to describe volumes of spatial forms that are formed on the surface of thin layers of ZnxCd1−xTe solid solution grown on the Si (111) substrate. MF analysis is performed on the basis of AFM images of the solid solution surface. The parameters of the MF spectrums for the distribution of volumes of the spatial forms, which formed the surface relief, were found. On the basis of a formal approach and data on the multifractal parameters for the volume and the area of the surface spatial forms the mathematic expression which takes into account the contribution of the fractal surface structure in its surface energy were proposed. The behavior of the surface energy of the system depending... (More)

Multifractal (MF) analysis is used to describe volumes of spatial forms that are formed on the surface of thin layers of ZnxCd1−xTe solid solution grown on the Si (111) substrate. MF analysis is performed on the basis of AFM images of the solid solution surface. The parameters of the MF spectrums for the distribution of volumes of the spatial forms, which formed the surface relief, were found. On the basis of a formal approach and data on the multifractal parameters for the volume and the area of the surface spatial forms the mathematic expression which takes into account the contribution of the fractal surface structure in its surface energy were proposed. The behavior of the surface energy of the system depending on the fractal parameters that describe the volume and the area of the spatial forms on the fractal surface were discussed.

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author
; ; and
publishing date
type
Contribution to journal
publication status
published
keywords
A1. Multifractal analysis, A1. Self-similarity and self-organization, A1. Surface structure, B1. Nanomaterials, B2. II–VI Semiconductor materials
in
Journal of Crystal Growth
volume
450
pages
6 pages
publisher
Elsevier
external identifiers
  • scopus:84975226451
ISSN
0022-0248
DOI
10.1016/j.jcrysgro.2016.05.035
language
English
LU publication?
no
id
11b47ff8-8203-4f03-a16a-7d05aca721e2
date added to LUP
2019-03-11 09:59:40
date last changed
2022-01-31 18:04:19
@article{11b47ff8-8203-4f03-a16a-7d05aca721e2,
  abstract     = {{<p>Multifractal (MF) analysis is used to describe volumes of spatial forms that are formed on the surface of thin layers of Zn<sub>x</sub>Cd<sub>1−x</sub>Te solid solution grown on the Si (111) substrate. MF analysis is performed on the basis of AFM images of the solid solution surface. The parameters of the MF spectrums for the distribution of volumes of the spatial forms, which formed the surface relief, were found. On the basis of a formal approach and data on the multifractal parameters for the volume and the area of the surface spatial forms the mathematic expression which takes into account the contribution of the fractal surface structure in its surface energy were proposed. The behavior of the surface energy of the system depending on the fractal parameters that describe the volume and the area of the spatial forms on the fractal surface were discussed.</p>}},
  author       = {{Moskvin, Pavel and Kryzhanivskyy, Vyacheslav and Lytvyn, Petro and Rashkovetskyi, Liubomyr}},
  issn         = {{0022-0248}},
  keywords     = {{A1. Multifractal analysis; A1. Self-similarity and self-organization; A1. Surface structure; B1. Nanomaterials; B2. II–VI Semiconductor materials}},
  language     = {{eng}},
  month        = {{09}},
  pages        = {{28--33}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Crystal Growth}},
  title        = {{Multifractal spectrums for volumes of spatial forms on surface of Zn<sub>x</sub>Cd<sub>1−x</sub>Te–Si (111) heterostructures and estimation of the fractal surface energy}},
  url          = {{http://dx.doi.org/10.1016/j.jcrysgro.2016.05.035}},
  doi          = {{10.1016/j.jcrysgro.2016.05.035}},
  volume       = {{450}},
  year         = {{2016}},
}