Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands

Differential entropy, along with fractal dimension, is herein employed to describe and interpret the shape complexity of self-similar organic islands. The islands are imaged with in situ Atomic Force Microscopy, following, step-by-step, the evolution of their shape while deposition proceeds. The fra...

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Autores principales:	Stefano Chiodini, Pablo Stoliar, Pablo F. Garrido, Cristiano Albonetti
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	in situ imaging atomic force microscopy differential entropy fractal dimension sexithiophene Ehrlich-Schwoebel barrier Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/2df3474f39534a6287caf3f8fbcf24ac
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spelling	oai:doaj.org-article:2df3474f39534a6287caf3f8fbcf24ac2021-11-11T18:05:33ZDifferential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands10.3390/ma142165291996-1944https://doaj.org/article/2df3474f39534a6287caf3f8fbcf24ac2021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/21/6529https://doaj.org/toc/1996-1944Differential entropy, along with fractal dimension, is herein employed to describe and interpret the shape complexity of self-similar organic islands. The islands are imaged with in situ Atomic Force Microscopy, following, step-by-step, the evolution of their shape while deposition proceeds. The fractal dimension shows a linear correlation with the film thickness, whereas the differential entropy presents an exponential plateau. Plotting differential entropy versus fractal dimension, a linear correlation can be found. This analysis enables one to discern the 6T growth on different surfaces, i.e., native SiO<sub>x</sub> or 6T layer, and suggests a more comprehensive interpretation of the shape evolution. Changes in fractal dimension reflect rougher variations of the island contour, whereas changes in differential entropy correlates with finer contour details. The computation of differential entropy therefore helps to obtain more physical information on the island shape dependence on the substrate, beyond the standard description obtained with the fractal dimension.Stefano ChiodiniPablo StoliarPablo F. GarridoCristiano AlbonettiMDPI AGarticlein situ imagingatomic force microscopydifferential entropyfractal dimensionsexithiopheneEhrlich-Schwoebel barrierTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6529, p 6529 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	in situ imaging atomic force microscopy differential entropy fractal dimension sexithiophene Ehrlich-Schwoebel barrier Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	in situ imaging atomic force microscopy differential entropy fractal dimension sexithiophene Ehrlich-Schwoebel barrier Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Stefano Chiodini Pablo Stoliar Pablo F. Garrido Cristiano Albonetti Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
description	Differential entropy, along with fractal dimension, is herein employed to describe and interpret the shape complexity of self-similar organic islands. The islands are imaged with in situ Atomic Force Microscopy, following, step-by-step, the evolution of their shape while deposition proceeds. The fractal dimension shows a linear correlation with the film thickness, whereas the differential entropy presents an exponential plateau. Plotting differential entropy versus fractal dimension, a linear correlation can be found. This analysis enables one to discern the 6T growth on different surfaces, i.e., native SiO<sub>x</sub> or 6T layer, and suggests a more comprehensive interpretation of the shape evolution. Changes in fractal dimension reflect rougher variations of the island contour, whereas changes in differential entropy correlates with finer contour details. The computation of differential entropy therefore helps to obtain more physical information on the island shape dependence on the substrate, beyond the standard description obtained with the fractal dimension.
format	article
author	Stefano Chiodini Pablo Stoliar Pablo F. Garrido Cristiano Albonetti
author_facet	Stefano Chiodini Pablo Stoliar Pablo F. Garrido Cristiano Albonetti
author_sort	Stefano Chiodini
title	Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
title_short	Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
title_full	Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
title_fullStr	Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
title_full_unstemmed	Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
title_sort	differential entropy: an appropriate analysis to interpret the shape complexity of self-similar organic islands
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2df3474f39534a6287caf3f8fbcf24ac
work_keys_str_mv	AT stefanochiodini differentialentropyanappropriateanalysistointerprettheshapecomplexityofselfsimilarorganicislands AT pablostoliar differentialentropyanappropriateanalysistointerprettheshapecomplexityofselfsimilarorganicislands AT pablofgarrido differentialentropyanappropriateanalysistointerprettheshapecomplexityofselfsimilarorganicislands AT cristianoalbonetti differentialentropyanappropriateanalysistointerprettheshapecomplexityofselfsimilarorganicislands
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Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands

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