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Atomic Force Microscopy01:08

Atomic Force Microscopy

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Atomic force microscopy (AFM) is a type of scanning probe microscopy that can analyze topographic details of various specimens like ceramics, glass, polymers, and biological samples. AFM offers over 1000 times more resolution than the optical imaging system. Images generated from AFM are three-dimensional surface profiles, offering an advantage over the flat, two-dimensional images from other imaging techniques.
The AFM Probe
The probe is regarded as the heart of any AFM setup and comprises the...
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Related Experiment Video

Updated: Oct 17, 2025

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
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Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid

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A new method for obtaining model-free viscoelastic material properties from atomic force microscopy experiments using

Berkin Uluutku1, Enrique A López-Guerra1, Santiago D Solares1

  • 1Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.

Beilstein Journal of Nanotechnology
|October 11, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a novel Z-transform method for material viscoelastic characterization using atomic force microscopy (AFM). This model-independent approach accurately extracts viscoelastic properties from force-distance curves.

Keywords:
atomic force microscopyforce spectroscopymaterial propertiesviscoelasticity

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Area of Science:

  • Materials Science
  • Rheology
  • Nanotechnology

Background:

  • Micro- and nanoscale viscoelastic characterization often relies on atomic force microscopy (AFM).
  • Current methods typically involve fitting AFM data to predefined viscoelastic models (e.g., generalized, power-law).

Purpose of the Study:

  • To develop a model-independent method for extracting viscoelastic properties from AFM data.
  • To utilize the Z-transform for direct inversion of viscoelastic behavior.

Main Methods:

  • The Z-transform is applied to rheological viscoelastic relations to derive their z-domain correspondence.
  • A novel technique is presented for inverting force-distance AFM curves without model fitting.
  • The method is demonstrated on simulated ramp-shaped AFM force-distance data.

Main Results:

  • The proposed Z-transform method accurately extracts viscoelastic characteristics from simulated AFM experiments.
  • Demonstrated good agreement between extracted properties and theoretical expectations.
  • A pathway is provided for calculating standard viscoelastic responses from the extracted characteristics.

Conclusions:

  • The Z-transform method offers a complementary, model-independent approach to viscoelastic analysis.
  • It presents advantages over traditional model-based methods and Fourier techniques, particularly for unbounded inputs like AFM ramp functions.
  • This technique enhances the generality and applicability of AFM for material characterization.