Dynamic scaling method and interface growth

Dobrescu, Gianina; Rusu, Mircea

doi:10.1016/s1359-0294(01)00065-6

Cited by 7 publications

(5 citation statements)

References 9 publications

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“…In addition to the roughness exponent ε, it is possible to associate a fractal dimension D with a self-affine function. The fractal dimension of a self-affine surface can be computed from the height correlation function [13][14][15]:…”

Section: Correlation Function Methodsmentioning

confidence: 99%

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AFM imaging, fractal analysis and in vitro cytotoxicity evaluation of Zn(II) vs. Cu(II) porphyrins

Socoteanu

Anastasescu

Dobrescu

et al. 2015

Chaos, Solitons & Fractals

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Section: Correlation Function Methodsmentioning

confidence: 99%

“…In our work we shall compute fractal dimensions by two methods: the height correlation function method (C) [13][14][15] and the variable length scale method (L) [16].…”

Section: Fractal Analysismentioning

confidence: 99%

AFM imaging, fractal analysis and in vitro cytotoxicity evaluation of Zn(II) vs. Cu(II) porphyrins

Socoteanu

Anastasescu

Dobrescu

et al. 2015

Chaos, Solitons & Fractals

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“…In addition to the roughness exponent , it is possible to associate a fractal dimension with a selfaffine function. The fractal dimension of a self-affine surface can be computed from the height correlation function [29][30][31]:…”

Section: (B) Correlation Function Methodmentioning

confidence: 99%

“…The aim of this paper is to analyze AFM topographic images of asymmetric porphyrins (AB 3 meso-porphyrinic type structures) in order to analyze their fractal behavior and textural properties and to identify the connection with some results of biological tests. Two mathematical methods were used to compute fractal dimensions: first, the correlation function method [29][30][31] and, second, the variable length scale method [32]. Our work emphasizes the interdependence between molecular architecture, complex structure analysis, and biological studies, especially AFM technique and porphyrin-cell interaction, in the quest for photosensitizers with improved properties.…”

Section: Introductionmentioning

confidence: 99%

Aggregation Behavior of Some Asymmetric Porphyrins versus Basic Biological Tests Response

Socoteanu

Anastasescu

Oliveira

et al. 2015

International Journal of Photoenergy

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Fractal analysis of free bases porphyrins was computed on atomic force microscopy (AFM) micrographs using two different methods: the correlation function method and the variable length scale method. The correlation function method provides fractal dimension only for short scale range; results indicate that only few images have fractal properties for short ranges; for the rest of them, no fractal dimension was found using the correlation function method. The variable length scale method occur information for long range scaling. All samples have fractal properties at higher scaling range. For three samples the correlation function method leads to the same fractal dimension as the variable length scale method and scaling ranges for both methods overlap. Results show the necessity to use both methods to describe the fractal properties of AB3 meso-porphyrins that may be used to predict their relative cell localization. In order to emphasize the influence of fractal and textural properties the results regarding their self-similarity and texture/morphology were further compared with their behavior in biological assessment, that is, functionality of some Jurkat cell lines.

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“…The fractal analysis of the AFM micrographs provides additional information concerning the surface order and selforganization. After the elimination of the background electronic noise, the grey level of each image pixel was converted in height and the fractal dimension of the surface was computed using the correlation function method: [34][35][36]…”

Section: Afmmentioning

confidence: 99%

Hemin interaction with bare and 4,4′-thio-bis-benzene-thiolate covered n-GaAs (110) electrodes

Preda

Negrilǎ

Lazarescu

et al. 2011

Phys. Chem. Chem. Phys.

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Cyclic voltammetry (CV) and electrochemical impedance spectroscopy (EIS) investigations on the redox behavior of hemin at bare and 4,4'-thio-bis-benzene-thiolate (TBBT) covered n-GaAs (110) electrodes in dimethylsulfoxide (DMSO) revealed the high irreversibility of the electroreduction process, which appeared to be closely related to the stable adsorbed species strongly interfering with the electronic properties of the semiconducting substrate. The subsequent exploration of the hemin-modified electrodes by second harmonic generation (SHG), X-ray photoelectron spectroscopy (XPS) and atomic force microscopy (AFM) measurements pointed to significant differences between the iron protoporphyrin species adsorbed on the bare- and TBBT-GaAs (110) electrodes. Only Fe(2+) species having a flat configuration with the porphyrin plane oriented parallel to the surface were detected on GaAs, unlike the TBBT-GaAs, where Fe(2+) and Fe(3+) species having both flat and vertical adsorption positions could be observed. These differences originate from the mutual interactions between the solvent, hemin and dithiolate molecules as well as their competition for the surface sites found to play a key role in the electrochemical process under discussion.

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Dynamic scaling method and interface growth

Cited by 7 publications

References 9 publications

AFM imaging, fractal analysis and in vitro cytotoxicity evaluation of Zn(II) vs. Cu(II) porphyrins

AFM imaging, fractal analysis and in vitro cytotoxicity evaluation of Zn(II) vs. Cu(II) porphyrins

Aggregation Behavior of Some Asymmetric Porphyrins versus Basic Biological Tests Response

Hemin interaction with bare and 4,4′-thio-bis-benzene-thiolate covered n-GaAs (110) electrodes

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