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Investigation on Blind Tip Reconstruction Errors Caused by Sample Features
Precision measurements of a nanoscale sample surface using an atomic force microscope (AFM) require a precise quantitative knowledge of the 3D tip shape. Blind tip reconstruction (BTR), established by Villarrubia, gives an outer bound with larger errors if the tip characterizer is not appropriate. I...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4299057/ https://www.ncbi.nlm.nih.gov/pubmed/25490584 http://dx.doi.org/10.3390/s141223159 |
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author | Wan, Jiahuan Xu, Linyan Wu, Sen Hu, Xiaodong |
author_facet | Wan, Jiahuan Xu, Linyan Wu, Sen Hu, Xiaodong |
author_sort | Wan, Jiahuan |
collection | PubMed |
description | Precision measurements of a nanoscale sample surface using an atomic force microscope (AFM) require a precise quantitative knowledge of the 3D tip shape. Blind tip reconstruction (BTR), established by Villarrubia, gives an outer bound with larger errors if the tip characterizer is not appropriate. In order to explore the errors of BTR, a series of simulation experiments based on a conical model were carried out. The results show that, to reconstruct the tip precisely, the cone angle of the tip characterizer must be smaller than that of the tip. Furthermore, the errors decrease as a function of the tip cone angle and increase linearly with the sample radius of curvature, irrespective of the tip radius of curvature. In particular, for sharp (20 nm radius) and blunt (80 nm radius) tips, the radius of curvature of the tip characterizer must be smaller than 5 nm. Based on these simulation results, a local error model of BTR was established. The maximum deviation between the errors derived from the model and the simulated experiments is 1.22 nm. Compared with the lateral resolution used in the above simulated experiments (4 nm/pixel), it is valid to ignore the deviations and consider the local error model of BTR is indeed in quantitative agreement with the simulation results. Finally, two simulated ideal structures are proposed here, together with their corresponding real samples. The simulation results show they are suitable for BTR. |
format | Online Article Text |
id | pubmed-4299057 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-42990572015-01-26 Investigation on Blind Tip Reconstruction Errors Caused by Sample Features Wan, Jiahuan Xu, Linyan Wu, Sen Hu, Xiaodong Sensors (Basel) Article Precision measurements of a nanoscale sample surface using an atomic force microscope (AFM) require a precise quantitative knowledge of the 3D tip shape. Blind tip reconstruction (BTR), established by Villarrubia, gives an outer bound with larger errors if the tip characterizer is not appropriate. In order to explore the errors of BTR, a series of simulation experiments based on a conical model were carried out. The results show that, to reconstruct the tip precisely, the cone angle of the tip characterizer must be smaller than that of the tip. Furthermore, the errors decrease as a function of the tip cone angle and increase linearly with the sample radius of curvature, irrespective of the tip radius of curvature. In particular, for sharp (20 nm radius) and blunt (80 nm radius) tips, the radius of curvature of the tip characterizer must be smaller than 5 nm. Based on these simulation results, a local error model of BTR was established. The maximum deviation between the errors derived from the model and the simulated experiments is 1.22 nm. Compared with the lateral resolution used in the above simulated experiments (4 nm/pixel), it is valid to ignore the deviations and consider the local error model of BTR is indeed in quantitative agreement with the simulation results. Finally, two simulated ideal structures are proposed here, together with their corresponding real samples. The simulation results show they are suitable for BTR. MDPI 2014-12-05 /pmc/articles/PMC4299057/ /pubmed/25490584 http://dx.doi.org/10.3390/s141223159 Text en © 2014 by the authors; licensee MDPI, Basel, Switzerland. https://creativecommons.org/licenses/by/4.0/This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ). |
spellingShingle | Article Wan, Jiahuan Xu, Linyan Wu, Sen Hu, Xiaodong Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title | Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title_full | Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title_fullStr | Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title_full_unstemmed | Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title_short | Investigation on Blind Tip Reconstruction Errors Caused by Sample Features |
title_sort | investigation on blind tip reconstruction errors caused by sample features |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4299057/ https://www.ncbi.nlm.nih.gov/pubmed/25490584 http://dx.doi.org/10.3390/s141223159 |
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