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Influence of tip geometry on fractal analysis of atomic force microscopy images
Luleå tekniska universitet.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.
1998 (English)In: Applied Physics A: Materials Science & Processing, ISSN 0947-8396, E-ISSN 1432-0630, Vol. 66, no Supplement 1, p. S 891-S 895Article in journal (Refereed) Published
Abstract [en]

Fractal analysis of data from atomic force microscopy (AFM) is often necessary for studying surfaces with scale-invariant roughness. However, the fractal parameters are influenced by the finite-sized tip geometry of the AFM stylus. We make an extended study of such little-known effects. The so-called successive random algorithm is used to generate by computer ideal fractal surfaces with known fractal dimensions and varying height magnitudes. Tip-distorted AFM images are simulated from the ideal surfaces for the case of a strictly geometrical interaction between surface and tip. The AFM-induced error, taken as the difference in estimated parameters between ideal and distorted images, is shown to be largest for small scan sizes and high fractal dimensions. The dependence on AFM tip radius and surface height magnitude is analyzed by the structure function, variance and a Fourier method. The latter is shown to be unreliable for analyzing AFM images. We exemplify how the results can be applied to AFM images of real surfaces.

Place, publisher, year, edition, pages
1998. Vol. 66, no Supplement 1, p. S 891-S 895
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Other Physics Topics
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Fysik
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URN: urn:nbn:se:ltu:diva-6337DOI: 10.1007/s003390051262ISI: 000076887100046Scopus ID: 2-s2.0-0000688898Local ID: 49114a10-e763-11db-8a98-000ea68e967bOAI: oai:DiVA.org:ltu-6337DiVA, id: diva2:979214
Note
Godkänd; 1998; 20070410 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Almqvist, NilsFredriksson, Sverker

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  • apa
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