Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction
We propose a model for predicting the fluctuation of electron states in thin films as a function of film thickness. The model is derived based on the assumption of the existence of potential barrier fluctuation on the film surface. Since the wave functions of electrons in the film are determined by...
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Format: | Article |
Language: | English |
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ITB Journal Publisher
2017-12-01
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Series: | Journal of Mathematical and Fundamental Sciences |
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Online Access: | http://journals.itb.ac.id/index.php/jmfs/article/view/3329 |
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author | Nadya Amalia Sparisoma Viridi Mikrajuddin Abdullah |
author_facet | Nadya Amalia Sparisoma Viridi Mikrajuddin Abdullah |
author_sort | Nadya Amalia |
collection | DOAJ |
description | We propose a model for predicting the fluctuation of electron states in thin films as a function of film thickness. The model is derived based on the assumption of the existence of potential barrier fluctuation on the film surface. Since the wave functions of electrons in the film are determined by the boundary conditions of the potential on the film surface, the potential fluctuation on the film surface implies fluctuation of the electron states in the film. The model was extended to predict the effect of size on the lattice constant of thin films or nanoparticles. |
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institution | Directory Open Access Journal |
issn | 2337-5760 2338-5510 |
language | English |
last_indexed | 2024-04-14T01:54:50Z |
publishDate | 2017-12-01 |
publisher | ITB Journal Publisher |
record_format | Article |
series | Journal of Mathematical and Fundamental Sciences |
spelling | doaj.art-f0a32dece00042e58c1b1e9e65ad15dc2022-12-22T02:19:08ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102017-12-0149322524310.5614/j.math.fund.sci.2017.49.3.2Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size ReductionNadya Amalia0Sparisoma Viridi1Mikrajuddin Abdullah2Department of Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, IndonesiaDepartment of Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, IndonesiaBandung Innovation Center, Jalan Sembrani 19, Bandung, IndonesiaWe propose a model for predicting the fluctuation of electron states in thin films as a function of film thickness. The model is derived based on the assumption of the existence of potential barrier fluctuation on the film surface. Since the wave functions of electrons in the film are determined by the boundary conditions of the potential on the film surface, the potential fluctuation on the film surface implies fluctuation of the electron states in the film. The model was extended to predict the effect of size on the lattice constant of thin films or nanoparticles.http://journals.itb.ac.id/index.php/jmfs/article/view/3329electron statesnanoparticlespotential fluctuationsize dependent lattice constantthin film |
spellingShingle | Nadya Amalia Sparisoma Viridi Mikrajuddin Abdullah Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction Journal of Mathematical and Fundamental Sciences electron states nanoparticles potential fluctuation size dependent lattice constant thin film |
title | Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction |
title_full | Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction |
title_fullStr | Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction |
title_full_unstemmed | Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction |
title_short | Thickness Effect on Fluctuation of Electron States in Thin Film and Implications for Lattice Constant Change Due to Size Reduction |
title_sort | thickness effect on fluctuation of electron states in thin film and implications for lattice constant change due to size reduction |
topic | electron states nanoparticles potential fluctuation size dependent lattice constant thin film |
url | http://journals.itb.ac.id/index.php/jmfs/article/view/3329 |
work_keys_str_mv | AT nadyaamalia thicknesseffectonfluctuationofelectronstatesinthinfilmandimplicationsforlatticeconstantchangeduetosizereduction AT sparisomaviridi thicknesseffectonfluctuationofelectronstatesinthinfilmandimplicationsforlatticeconstantchangeduetosizereduction AT mikrajuddinabdullah thicknesseffectonfluctuationofelectronstatesinthinfilmandimplicationsforlatticeconstantchangeduetosizereduction |