Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
| Autor: | Pablo Stoliar, Cristiano Albonetti, Stefano Chiodini, Pablo F. Garrido |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
fractal dimension
Technology Ehrlich-Schwoebel barrier Computation Plateau (mathematics) Fractal dimension sexithiophene Article Interpretation (model theory) differential entropy Differential entropy Physical information Deposition (phase transition) General Materials Science Statistical physics Physics in situ imaging Microscopy QC120-168.85 atomic force microscopy QH201-278.5 Engineering (General). Civil engineering (General) Exponential function TK1-9971 Descriptive and experimental mechanics Electrical engineering. Electronics. Nuclear engineering TA1-2040 |
| Zdroj: | Materials, Vol 14, Iss 6529, p 6529 (2021) Materials Volume 14 Issue 21 |
| ISSN: | 1996-1944 |
| Popis: | 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 SiOx 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|