Theoretical assessment of surface waviness on work function

The work function may affect the physical, electrical, and chemical behavior of surfaces, making it important for numerous applications and phenomena, including field emission, gas breakdown, and nanotechnology. Despite this importance, studies examining the impact of surface roughness on the work f...

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Main Authors: Jacqueline R. Malayter, Allen L. Garner
Format: Article
Language:English
Published: AIP Publishing LLC 2020-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0016116
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author Jacqueline R. Malayter
Allen L. Garner
author_facet Jacqueline R. Malayter
Allen L. Garner
author_sort Jacqueline R. Malayter
collection DOAJ
description The work function may affect the physical, electrical, and chemical behavior of surfaces, making it important for numerous applications and phenomena, including field emission, gas breakdown, and nanotechnology. Despite this importance, studies examining the impact of surface roughness on the work function have only examined the amplitude and not the period of the waviness, which becomes increasingly important with reduced device size. This paper extends these previous scanning Kelvin probe (SKP)-based mathematical models for predicting the work function of a metallic surface with surface waviness by explicitly including the period. For a given ratio of surface roughness amplitude to the distance from the SKP to the center of the waviness, increasing the period or reducing the SKP step distance reduced the surface’s effective work function. In the limit of infinite period (or low SKP step size) and low surface roughness amplitude, the work function approached that expected with a concomitant reduction in the gap distance with no surface roughness. The effective surface work function approaches zero and may become negative as the SKP tip approaches the surface, suggesting the importance in these corrections for nanoscale measurements. As the SKP step size approaches the surface roughness period, the effective work function becomes infinitely large. Implications of these results on gas breakdown, field emission, and nanoscale device design will be discussed.
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spelling doaj.art-7be9e84450954cebb743d00a244510552022-12-21T17:49:27ZengAIP Publishing LLCAIP Advances2158-32262020-09-01109095110095110-910.1063/5.0016116Theoretical assessment of surface waviness on work functionJacqueline R. Malayter0Allen L. Garner1School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USASchool of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USAThe work function may affect the physical, electrical, and chemical behavior of surfaces, making it important for numerous applications and phenomena, including field emission, gas breakdown, and nanotechnology. Despite this importance, studies examining the impact of surface roughness on the work function have only examined the amplitude and not the period of the waviness, which becomes increasingly important with reduced device size. This paper extends these previous scanning Kelvin probe (SKP)-based mathematical models for predicting the work function of a metallic surface with surface waviness by explicitly including the period. For a given ratio of surface roughness amplitude to the distance from the SKP to the center of the waviness, increasing the period or reducing the SKP step distance reduced the surface’s effective work function. In the limit of infinite period (or low SKP step size) and low surface roughness amplitude, the work function approached that expected with a concomitant reduction in the gap distance with no surface roughness. The effective surface work function approaches zero and may become negative as the SKP tip approaches the surface, suggesting the importance in these corrections for nanoscale measurements. As the SKP step size approaches the surface roughness period, the effective work function becomes infinitely large. Implications of these results on gas breakdown, field emission, and nanoscale device design will be discussed.http://dx.doi.org/10.1063/5.0016116
spellingShingle Jacqueline R. Malayter
Allen L. Garner
Theoretical assessment of surface waviness on work function
AIP Advances
title Theoretical assessment of surface waviness on work function
title_full Theoretical assessment of surface waviness on work function
title_fullStr Theoretical assessment of surface waviness on work function
title_full_unstemmed Theoretical assessment of surface waviness on work function
title_short Theoretical assessment of surface waviness on work function
title_sort theoretical assessment of surface waviness on work function
url http://dx.doi.org/10.1063/5.0016116
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