English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/135110
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Title

Theoretical study of the frequency shift in bimodal FM-AFM by fractional calculus

AuthorsHerruzo, Elena T. ; García García, Ricardo
KeywordsAFM
Atomic force microscopy
Bimodal AFM
Frequency shift
Integral calculus applications
Issue Date7-Mar-2012
PublisherBeilstein-Institut zur Förderung der Chemischen Wissenschaften
CitationBeilstein Journal of Nanotechnology 3: 198–206 (2012)
AbstractBimodal atomic force microscopy is a force-microscopy method that requires the simultaneous excitation of two eigenmodes of the cantilever. This method enables the simultaneous recording of several material properties and, at the same time, it also increases the sensitivity of the microscope. Here we apply fractional calculus to express the frequency shift of the second eigenmode in terms of the fractional derivative of the interaction force. We show that this approximation is valid for situations in which the amplitude of the first mode is larger than the length of scale of the force, corresponding to the most common experimental case. We also show that this approximation is valid for very different types of tip–surface forces such as the Lennard-Jones and Derjaguin–Muller–Toporov forces.
DescriptionThis article is part of the Thematic Series "Noncontact atomic force microscopy".
Publisher version (URL)http://dx.doi.org/10.3762/bjnano.3.22
URIhttp://hdl.handle.net/10261/135110
DOI10.3762/bjnano.3.22
ISSN2190-4286
Appears in Collections:(IMN-CNM) Artículos
Files in This Item:
File Description SizeFormat 
bimodal_FM-AFM_Herruzo.pdf1,05 MBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.