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Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals
To study the relation between the structure of a compound and its properties is one of the fundamental trends in chemistry and materials science. A classic example is the well-known influence of the structures of diamond and graphite on their physicochemical properties, in particular, hardness. Howe...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7698598/ https://www.ncbi.nlm.nih.gov/pubmed/33217929 http://dx.doi.org/10.3390/molecules25225387 |
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author | Grigoreva, Ludmila Razdolsky, Alexander Kazachenko, Vladimir Strakhova, Nadezhda Grigorev, Veniamin |
author_facet | Grigoreva, Ludmila Razdolsky, Alexander Kazachenko, Vladimir Strakhova, Nadezhda Grigorev, Veniamin |
author_sort | Grigoreva, Ludmila |
collection | PubMed |
description | To study the relation between the structure of a compound and its properties is one of the fundamental trends in chemistry and materials science. A classic example is the well-known influence of the structures of diamond and graphite on their physicochemical properties, in particular, hardness. However, some other properties of these allotropic modifications of carbon, e.g., fractal properties, are poorly understood. In this work, the spatial series (interatomic distance histograms) calculated using the crystal structures of diamond and graphite are investigated. Hurst exponents H are estimated using detrended fluctuation analysis and power spectral density. The values of H are found to be 0.27–0.32 and 0.37–0.42 for diamond and graphite, respectively. The calculated data suggest that the spatial series have long memory with a negative correlation between the terms of the series; that is, they are antipersistent. |
format | Online Article Text |
id | pubmed-7698598 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-76985982020-11-29 Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals Grigoreva, Ludmila Razdolsky, Alexander Kazachenko, Vladimir Strakhova, Nadezhda Grigorev, Veniamin Molecules Article To study the relation between the structure of a compound and its properties is one of the fundamental trends in chemistry and materials science. A classic example is the well-known influence of the structures of diamond and graphite on their physicochemical properties, in particular, hardness. However, some other properties of these allotropic modifications of carbon, e.g., fractal properties, are poorly understood. In this work, the spatial series (interatomic distance histograms) calculated using the crystal structures of diamond and graphite are investigated. Hurst exponents H are estimated using detrended fluctuation analysis and power spectral density. The values of H are found to be 0.27–0.32 and 0.37–0.42 for diamond and graphite, respectively. The calculated data suggest that the spatial series have long memory with a negative correlation between the terms of the series; that is, they are antipersistent. MDPI 2020-11-18 /pmc/articles/PMC7698598/ /pubmed/33217929 http://dx.doi.org/10.3390/molecules25225387 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Grigoreva, Ludmila Razdolsky, Alexander Kazachenko, Vladimir Strakhova, Nadezhda Grigorev, Veniamin Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title | Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title_full | Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title_fullStr | Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title_full_unstemmed | Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title_short | Memory Effect in the Spatial Series Based on Diamond and Graphite Crystals |
title_sort | memory effect in the spatial series based on diamond and graphite crystals |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7698598/ https://www.ncbi.nlm.nih.gov/pubmed/33217929 http://dx.doi.org/10.3390/molecules25225387 |
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