Surface irregularity of soils in molecular domain

Xu, Yongfu

doi:10.1016/j.chaos.2003.12.017

Cited by 9 publications

(5 citation statements)

References 23 publications

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“…Sokołowska and co-workers [15,16] analyzed the monolayer capacities of montmorillonite with nonpolar and polar adsorbates and found values of D s = 2.1 and 2.3 respectively. Similar differences in D s values were also observed for kaolinite [16,21,91,93]. The origin of these differences is probably related to the fact that experiments were carried out on mineral samples of different origins.…”

Section: Soil Mineralssupporting

confidence: 53%

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Fractal Approach to Adsorption/Desorption Processes on Environmental Surfaces

Sokołowska

Sokołowski

2008

Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems

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Section: Soil Mineralssupporting

confidence: 53%

“…Determinations of the fractal dimensions of clay minerals have been reported in several papers [11,21]. For montmorillonite, a value of D s ≈ 2 has been measured [11,21,91,92], whereas other authors [87,93,94] have obtained a higher value of D s = 2.7, e.g. by measuring N 2 isotherms.…”

Section: Soil Mineralsmentioning

confidence: 96%

Fractal Approach to Adsorption/Desorption Processes on Environmental Surfaces

Sokołowska

Sokołowski

2008

Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems

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“…Compactness was the first studied topological feature of the images, being measured in terms of D box The value of D box is an indicator of the network's ability to fill the common space, which measures the heterogeneity of the Euclidean space occupied by the set of interest (solids or pores) and its tendency to form clusters; D box describes the static properties of the fractal set, especially its topography. The microscopic studies were applied to areas (microscope view field) ranging from a few square angstroms (Xu, 2004b) to hundreds of square millimeters (Oleschko et al, 2000), depending on the image resolution. The box dimensions of the studied materials cover the broad range of values: from 1.61 to 1.89 for solid sets and from 1.87 to 1.39 for the corresponding pore networks.…”

Section: Resultsmentioning

confidence: 99%

Fractal Mapping of Pore and Solid Attributes

Castro

Oleschko

Flores

et al. 2008

Vadose Zone Journal

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A: BI, binarized image; OI, original image; SEM, scanning electron microscope.S S : M M Soil structure depends on its genesis and consists of highly variable pore and solid networks. Several internal and external factors aff ect the a ributes of these networks, with water being the most aggressive agent. In this study, we used selected fractal parameters (called descriptors) to quan fy the basic topological a ributes-compactness and connectedness-as well as lacunarity and roughness of porous materials, with special a en on to sampling error and popula on variance dynamics. Four microhorizons were sampled from a 1.0-by 1.0-by 1.6-m monolith during a long-term drying period under controlled condi ons. A compara ve fractal analysis of selected mul temporal (11 mo) and mul scale (50×, 500×, 1000×, and 5000×) scanning electron microscopy (SEM) images was accomplished for the following layers with contras ng texture or structure: loam topsoil, pure basal c compacted sand, and two amorphous lacustrine clays. The scale invariance (self-similarity) of pore and solid networks was documented. A complex rela onship was found between the descriptor mean values and corresponding variances. Simple power-law rela ons were established between the standard devia on (and variance) and layer depth, as well as scale and sampling me. Pearson's r correlaon criterion was applied to measure the degree of associa on between mul objec ve fractal descriptors. Systema c and standardized fractal analysis of mul scale images is recommended for the sta s cal quan ta ve descrip on of complex and dynamic pore and solid networks.

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“…Lately the quantitative description of the irregularity of solids surface has received has been the subject of several studies [39,40,41,42]. Fractal dimension (D) supplies worthy data in this regard [43,44,45,46]. Fractal dimension of a perfectly unwrinkled surface reaches a value of 2, while a very rough or irregular surface arrives to a level close to 3 [46].…”

Section: Texturalmentioning

confidence: 99%

Influence of chemical composition, porosity and fractal dimension on the electrical conductivity of carbon blacks

Macı́as-Garcı́a

Dı́az-Dı́ez

Alfaro-Domínguez

et al. 2020

Heliyon

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Carbonaceous materials analyzed in this investigation were six nanometric particle size carbon blacks. Carbons were texturally characterized by gas adsorption (N2, 77 K), helium and mercury density and mercury porosimetry measurements. Electrical conductivity was determinated by impedance spectroscopy, at room temperature. Several works related to the electrical conductivity and to textural parameters of carbon blacks, such as: porosity, specific surface area, etc., have been carried out. However, there are a type of parameters, such as the fractal dimension, the percentage of macropores, the particle size, or the packing density, that are also related to the electrical conductivity, but they have not been previously investigated. In this work, it has been researched how the increase in interparticle/intraparticle porosity decreases the electrical conductivity of the samples studied. Therefore, it is possible to conclude that in this study a complete research work on electrical conductivity has been carried out.

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Surface irregularity of soils in molecular domain

Cited by 9 publications

References 23 publications

Fractal Approach to Adsorption/Desorption Processes on Environmental Surfaces

Fractal Approach to Adsorption/Desorption Processes on Environmental Surfaces

Fractal Mapping of Pore and Solid Attributes

Influence of chemical composition, porosity and fractal dimension on the electrical conductivity of carbon blacks

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