Construction of fractal nanostructures based on Kepler-Shubnikov nets

Construction of fractal nanostructures based on Kepler-Shubnikov nets

A system of information codes for deterministic fractal lattices and sets of multifractal curves is proposed. An iterative modular design was used to obtain a series of deterministic fractal lattices with generators in the form of fragments of 2 D structures and a series of multifractal curves (base...

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Veröffentlicht in:Crystallography reports 2013-05, Vol.58 (3), p.383-392
Hauptverfasser: Ivanov, V. V., Talanov, V. M.
Format: Artikel
Sprache:eng
Schlagworte:
CONSTRUCTION
Crystal Chemistry
Crystallography and Scattering Methods
DESIGN
FRACTALS
ITERATIVE METHODS
NANOSCIENCE AND NANOTECHNOLOGY
NANOSTRUCTURES
Physics
Physics and Astronomy
SPECTRA
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Zusammenfassung:A system of information codes for deterministic fractal lattices and sets of multifractal curves is proposed. An iterative modular design was used to obtain a series of deterministic fractal lattices with generators in the form of fragments of 2 D structures and a series of multifractal curves (based on some Kepler-Shubnikov nets) having Cantor set properties. The main characteristics of fractal structures and their lacunar spectra are determined. A hierarchical principle is formulated for modules of regular fractal structures.
ISSN:1063-7745
1562-689X
DOI:10.1134/S1063774513030073