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Related Concept Videos

Stokes' Law01:20

Stokes' Law

Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
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The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...

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Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
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Atomic force microscopy spring constant determination in viscous liquids.

Tobias Pirzer1, Thorsten Hugel

  • 1Department of Physics, Institute for Medical Engineering (IMETUM), Center for Integrated Protein Science, TU München, 85748 Garching, Germany.

The Review of Scientific Instruments
|April 2, 2009
PubMed
Summary
This summary is machine-generated.

Calibrating atomic force microscopy (AFM) cantilever spring constants using thermal noise is inaccurate in liquids. New fitting methods improve accuracy in viscous environments.

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Area of Science:

  • Physics
  • Materials Science
  • Nanotechnology

Background:

  • Atomic Force Microscopy (AFM) is a powerful tool for nanoscale imaging and manipulation.
  • Cantilever spring constant calibration is crucial for quantitative AFM measurements.
  • The thermal noise method is a common technique for spring constant calibration.

Purpose of the Study:

  • To evaluate the accuracy of the thermal noise method for spring constant calibration in various environments.
  • To identify limitations of current fitting functions and procedures, especially in viscous liquids.
  • To develop an improved method for accurate spring constant determination in fluids.

Main Methods:

  • Surveyed commonly used fitting functions for thermal noise spectra.
  • Examined the applicability of these functions in different environments, including viscous liquids.
  • Analyzed deviations from true spring constants using commercial and homebuilt AFM instruments.
  • Developed and presented a new thermal noise-based procedure and fitting function.

Main Results:

  • Standard fitting routines showed significant errors (>100%) in viscous liquid environments.
  • Frequency-dependent damping in liquids causes substantial inaccuracies in spring constant calibration.
  • Existing fitting procedures are inadequate for accurate calibration in fluidic AFM applications.
  • The proposed improved method demonstrates enhanced accuracy in determining spring constants in various fluids.

Conclusions:

  • Accurate spring constant calibration using the thermal noise method is challenging in viscous liquids.
  • Existing commercial and homebuilt AFM fitting routines often fail in fluidic environments.
  • A novel thermal noise-based procedure and improved fitting function are necessary for reliable AFM measurements in liquids.
  • The developed method offers a more robust solution for cantilever calibration in diverse fluid viscosities.