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Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy

Publication ,  Journal Article
Sheridan, RJ; Collinson, DW; Brinson, LC
Published in: Advanced Theory and Simulations
August 1, 2020

An analysis is presented of the error propagation through a simplified contact model for atomic force microscopy (AFM) static force spectroscopy, one that is meant to be intuitive and pedagogically informative rather than maximally realistic. It is shown that an important dimensionless ratio appears in several critical locations in the closed form error equation, and that under common calibration methods there exists a ``magic'' ratio where an important class of systematic calibration errors cancel out completely. This argument is extended to more complex contact models and the presence of a magic ratio is demonstrated using real data. A method is shown to identify and operate at optimal conditions in commercial AFMs. Targeting this magic ratio provides a simple, comprehensive guideline for cantilever selection, system calibration, and imaging parameter selection.

Duke Scholars

Published In

Advanced Theory and Simulations

DOI

EISSN

2513-0390

Publication Date

August 1, 2020

Volume

3

Issue

8

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
 

Citation

APA
Chicago
ICMJE
MLA
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Sheridan, R. J., Collinson, D. W., & Brinson, L. C. (2020). Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy. Advanced Theory and Simulations, 3(8). https://doi.org/10.1002/adts.202000090
Sheridan, R. J., D. W. Collinson, and L. C. Brinson. “Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy.” Advanced Theory and Simulations 3, no. 8 (August 1, 2020). https://doi.org/10.1002/adts.202000090.
Sheridan RJ, Collinson DW, Brinson LC. Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy. Advanced Theory and Simulations. 2020 Aug 1;3(8).
Sheridan, R. J., et al. “Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy.” Advanced Theory and Simulations, vol. 3, no. 8, Aug. 2020. Scopus, doi:10.1002/adts.202000090.
Sheridan RJ, Collinson DW, Brinson LC. Vanishing Cantilever Calibration Error with Magic Ratio Atomic Force Microscopy. Advanced Theory and Simulations. 2020 Aug 1;3(8).

Published In

Advanced Theory and Simulations

DOI

EISSN

2513-0390

Publication Date

August 1, 2020

Volume

3

Issue

8

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences