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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Main Authors: Nadya Amalia, Sparisoma Viridi, Mikrajuddin Abdullah
Format: Article
Language:English
Published: ITB Journal Publisher 2017-12-01
Series:Journal of Mathematical and Fundamental Sciences
Subjects:
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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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
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AT sparisomaviridi thicknesseffectonfluctuationofelectronstatesinthinfilmandimplicationsforlatticeconstantchangeduetosizereduction
AT mikrajuddinabdullah thicknesseffectonfluctuationofelectronstatesinthinfilmandimplicationsforlatticeconstantchangeduetosizereduction