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Updated: Feb 16, 2026

Sub-nanometer Resolution Imaging with Amplitude-modulation Atomic Force Microscopy in Liquid
Published on: December 20, 2016
Exploring responsivity, sensitivity and resolution in amplitude modulated AFM: a study of global behavior and
Jonathan Ehrmann1, Thomas Sattel2, Oliver Radler2
1Mechatronics Group, Technische Universität Ilmenau, Ilmenau, Germany. jonathan.ehrmann@tu-ilmenau.de.
This study clarifies sensitivity, resolution, and responsivity in atomic force microscopy (AFM). It presents a model to optimize AFM system parameters for enhanced sensitivity and experimental validation.
Area of Science:
- Atomic Force Microscopy (AFM)
- Surface Science
- Nanotechnology
Background:
- Conflicting definitions of sensitivity, resolution, and responsivity exist in AFM literature.
- A lack of comprehensive studies on how system and process parameters affect AFM sensitivity.
Purpose of the Study:
- To establish clear definitions for sensitivity, resolution, and responsivity within the context of AFM.
- To present a global analysis of AFM cantilever-sample system behavior concerning responsivity, noise, and sensitivity.
- To identify parameters that optimize AFM sensitivity.
Main Methods:
- Derivation of an analytical model for amplitude and phase as functions of tip-sample distance (small amplitudes).
- Scaling of analytical equations for generalized parameter influence analysis.
- Numerical modeling with numerical continuation for large amplitudes (non-contact and intermittent modes).
- Experimental validation using a self-developed AFM setup for amplitude-distance curves.
Main Results:
- An analytical model elucidates the influence of damping ratio, excitation frequency, and sample parameters on AFM system behavior.
- The model identifies optimal parameters for maximizing sensitivity.
- Numerical and experimental results validate the analytical model and demonstrate differences between non-contact and intermittent modes.
Conclusions:
- The study provides a unified framework for understanding AFM sensitivity, resolution, and responsivity.
- The derived models enable the optimization of AFM parameters for improved measurement sensitivity.
- The developed experimental setup offers a flexible platform for AFM amplitude-distance curve measurements.
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