scholarly journals Correction to: A dynamical approach to topography estimation in atomic force microscopy based on smooth orthogonal decomposition

2021 ◽  
Author(s):  
Mohammad Rafiee Javazm ◽  
Hossein Nejat Pishkenari
Keyword(s):  
Atomic Force Microscopy ◽  
Orthogonal Decomposition ◽  
Force Microscopy ◽  
Dynamical Approach ◽  
Atomic Force ◽  
Smooth Orthogonal Decomposition

Empirical Mode Decomposition for Dynamic AFM Microcantilevers in Air and Liquid Environment

2018 ◽  
Author(s):  
Il Kwang Kim ◽  
Jea Woong Jang ◽  
Soo Il Lee
Keyword(s):  
Orthogonal Decomposition ◽  
Operating Conditions ◽  
Liquid Environment ◽  
Tapping Mode ◽  
Force Microscopy ◽  
Hydrodynamic Damping ◽  
Atomic Force ◽  
Mode Decomposition ◽  
Proper Orthogonal ◽  
Smooth Orthogonal Decomposition

The modal decomposition of tapping mode atomic force microscopy microcantilevers in air and liquid environment was experimentally investigated to identify their complex responses. In experiment, the flexible microcantilevers and a flat HOPG sample were used. The responses of the microcantilevers were obtained to extract the linearized modes and orthogonal values using the methods for the proper orthogonal decomposition and the smooth orthogonal decomposition. The influence of the tapping setpoints and the hydrodynamic damping forces were investigated with the multi-mode response of microcantilevers. The results show that the first mode is dominant under normal operating conditions in tapping mode. However, at lower setpoint, the flexible microcantilever behaved uncertain modal distortion near the tip on the sample. The dynamics tapping effect and the damping between microcantilever and liquid influenced their responses.

Proper Orthogonal Decomposition of Tapping Microcantilevers in Liquid Atomic Force Microscopy

2015 ◽  
Author(s):  
Il Kwang Kim ◽  
Soo Il Lee
Keyword(s):  
Atomic Force Microscopy ◽  
Proper Orthogonal Decomposition ◽  
Orthogonal Decomposition ◽  
Modal Decomposition ◽  
Tapping Mode ◽  
Force Microscopy ◽  
Atomic Force ◽  
Proper Orthogonal Modes ◽  
Proper Orthogonal ◽  
Mode Atomic Force Microscopy

The modal decomposition of tapping mode atomic force microscopy microcantilevers in liquid environments was studied experimentally. Microcantilevers with different lengths and stiffnesses and two sample surfaces with different elastic moduli were used in the experiment. The response modes of the microcantilevers were extracted as proper orthogonal modes through proper orthogonal decomposition. Smooth orthogonal decomposition was used to estimate the resonance frequency directly. The effects of the tapping setpoint and the elastic modulus of the sample under test were examined in terms of their multi-mode responses with proper orthogonal modes, proper orthogonal values, smooth orthogonal modes and smooth orthogonal values. Regardless of the stiffness of the microcantilever under test, the first mode was dominant in tapping mode atomic force microscopy under normal operating conditions. However, at lower tapping setpoints, the flexible microcantilever showed modal distortion and noise near the tip when tapping on a hard sample. The stiff microcantilever had a higher mode effect on a soft sample at lower tapping setpoints. Modal decomposition for tapping mode atomic force microscopy can thus be used to estimate the characteristics of samples in liquid environments.

Electrostatic Forces on the Surface of Metals as Measured by Atomic Force Microscopy

2000 ◽  
Vol 10 (1-2) ◽  
pp. 15
Author(s):  
Eugene Sprague ◽  
Julio C. Palmaz ◽  
Cristina Simon ◽  
Aaron Watson
Keyword(s):  
Atomic Force Microscopy ◽  
Electrostatic Forces ◽  
Force Microscopy ◽  
Atomic Force
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