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Calibration of T-shaped atomic force microscope cantilevers using the thermal noise method
Youngkyu Kim1, Nicola Mandriota1, Davis Goodnight1
1Department of Biological Sciences, Columbia University, New York, New York 10027, USA.
The Review of Scientific Instruments
|September 3, 2020
Summary
We present a new method for calibrating T-shaped cantilevers in atomic force microscopy (AFM). This improved thermal noise calibration accurately measures tip-sample forces, crucial for nanoscale material property analysis.
Area of Science:
- Atomic Force Microscopy (AFM)
- Nanoscale Science
- Materials Science
Background:
- Atomic force microscopy (AFM) uses tip-sample interaction forces for nanoscale material property analysis.
- T-shaped cantilevers in Torsional-Harmonic AFM measure rapid force changes via torsional deflections.
- Conventional thermal noise calibration is difficult for T-shaped cantilevers due to coupled flexural and torsional deflections.
Purpose of the Study:
- To develop a robust thermal noise-based calibration method for T-shaped AFM cantilevers.
- To overcome challenges in determining deflection sensitivities caused by mechanical mode coupling.
- To enable accurate nanoscale force measurements using T-shaped cantilevers.
Main Methods:
- Simultaneous analysis of flexural and torsional thermal noise spectra.
- Integration of deflection signals from force-distance curves.
- Computer-aided calculations to account for flexural-torsional mode coupling.
- Validation of calibration robustness against laser spot position and cantilever orientation.
Main Results:
- Successfully calibrated T-shaped AFM cantilevers using an adapted thermal noise method.
- Demonstrated robustness and reliability of the calibration technique through various tests.
- Achieved consistent quantitative force measurements validated against protein unfolding forces.
Conclusions:
- The presented method provides accurate calibration for T-shaped AFM cantilevers.
- This technique enhances the reliability of nanoscale force measurements in AFM.
- It enables precise characterization of material properties at the nanoscale.

