Fractal Analysis and Fractal Dimension in Materials Chemistry, 2nd Edition

A special issue of Fractal and Fractional (ISSN 2504-3110).

Deadline for manuscript submissions: 25 March 2025 | Viewed by 762

Special Issue Editors


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Guest Editor
Romanian Academy, “Ilie Murgulescu” Physical Chemistry Institute, Bucharest, Romania
Interests: fractal theory; surface science; adsorption mechanism; modeling gases adsorption and desorption from metal-supported catalysts; Applying fractal theory for the characterization of surfaces; modeling adsorption on fractal surfaces; computing fractal dimension from micrographs (TEM, SEM, AFM, STM); growth surfaces and the computation of time and spatial scaling exponents.
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E-Mail Website
Guest Editor
Romanian Academy, “Ilie Murgulescu” Physical Chemistry Institute, Bucharest, Romania
Interests: fractal theory; catalytic and photocatalytic reaction; mono and bimetallic nanoparticles synthesis by alkaline polyol method; oxidation of C1-C4 aliphatic hydrocarbons on simple and doped oxides; oxidative coupling of methane on rare earth oxides; Selective catalytic reduction of nitrates and nitrites in the liquid phase; catalytic oxidation of ammonia nitrogen with ozone in water; modified catalysts and their fractal properties
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Institute of Physical Chemistry “Ilie Murgulescu”, Romanian Academy, 060021 Bucharest, Romania
Interests: fractal theory; catalysis, catalytic synthesis, catalytic pyrolysis processes; synthesis of well-defined mono/bimetallic nanoparticles; photocatalytic degradation of organic compounds in water; nitrate and nitrite abatement; photocatalysis/light harvesting—water and air depollution
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

After B.B.Mandelbrot published his works concerning fractals—defining them as objects with peculiar geometry, characterized by fractional exponents—a lot of studies have emerged in the scientific literature. Applications in engineering (fractal antennas), physics and chemistry (heterogeneous catalysis, adsorption, chemical reactions, light scattering on fractal surfaces), computer science (iterative algorithms for image compression), and even in literature or geography were developed.

The aim of this Special Issue is to present state of the art applications of the fractal theory in materials chemistry.  Topics that are invited for submission include (but are not limited to) the following:

  • The fractal dimension determination of materials (micrograph analysis, adsorption isotherms methods, SAXS method);
  • The relation between physical and chemical properties of materials and fractal dimension;
  • Adsorption on fractal surfaces;
  • Fractal adsorption isotherms;
  • Applications of fractal theory on chemical reactions;
  • Catalysts and applications of fractal theory in catalysis;
  • Dynamics on fractals;
  • Fractions in diffusion-limited reactions.

Dr. Gianina Dobrescu
Dr. Florica Papa
Dr. Razvan State
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractal dimension
  • fractal adsorption isotherms
  • catalysis
  • diffusion-limited reactions
  • fractions

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Published Papers (1 paper)

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Research

19 pages, 9305 KiB  
Article
Matrix Compression and Pore Heterogeneity in the Coal-Measure Shale Reservoirs of the Qinshui Basin: A Multifractal Analysis
by Baoyuan Zhong, Yanming Zhu, Guangjun Feng, Jie Xiang and Yang Wang
Fractal Fract. 2024, 8(10), 580; https://doi.org/10.3390/fractalfract8100580 - 30 Sep 2024
Viewed by 545
Abstract
The application of high-pressure fluid induces the closure of isolated pores inside the matrix and promotes the generation of new fractures, resulting in a compressive effect on the matrix. To examine the compressibility of coal-measure shale samples, the compression of the coal–shale matrix [...] Read more.
The application of high-pressure fluid induces the closure of isolated pores inside the matrix and promotes the generation of new fractures, resulting in a compressive effect on the matrix. To examine the compressibility of coal-measure shale samples, the compression of the coal–shale matrix in the high-pressure stage was analyzed by a low-pressure nitrogen gas adsorption and mercury intrusion porosimetry experiment. The quantitative parameters describing the heterogeneity of the pore-size distribution of coal-measure shale are obtained using multifractal theory. The results indicate that the samples exhibit compressibility values ranging from 0.154 × 10−5 MPa−1 to 4.74 × 10−5 MPa−1 across a pressure range of 12–413 MPa. The presence of pliable clay minerals enhances the matrix compressibility, whereas inflexible brittle minerals exhibit resistance to matrix compression. There is a reduction in local fluctuations of pore volume across different pore sizes, an improvement in the autocorrelation of PSD, and a mitigation of nonuniformity after correction. Singular and dimension spectra have advantages in multifractal characterization. The left and right spectral width parameters of the singular spectrum emphasize the local differences between the high- and low-value pore volume areas, respectively, whereas the dimensional spectrum width is more suitable for reflecting the overall heterogeneity of the PSD. Full article
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