Relationship between Q-factor and sample damping for contact resonance atomic force microscope measurement of viscoelastic properties

2011 ◽  
Vol 109 (11) ◽  
pp. 113528 ◽  
Author(s):  
P. A. Yuya ◽  
D. C. Hurley ◽  
J. A. Turner
2013 ◽  
Vol 21 (6) ◽  
pp. 18-24 ◽  
Author(s):  
Eoghan Dillon ◽  
Kevin Kjoller ◽  
Craig Prater

Atomic force microscopy (AFM) has been widely used in both industry and academia for imaging the surface topography of a material with nanoscale resolution. However, often little other information is obtained. Contact resonance AFM (CR-AFM) is a technique that can provide information about the viscoelastic properties of a material in contact with an AFM probe by measuring the contact stiffness between the probe and sample. In CR-AFM, an AFM cantilever is oscillated, and the amplitude and frequency of the resonance modes of the cantilever are monitored. When a probe or sample is oscillated, the tip sample interaction can be approximated as an ideal spring-dashpot system using the Voigt-Kelvin model shown in Figure 1. Contact resonance frequencies of the AFM cantilever will shift depending on the contact stiffness, k, between the tip and sample. The damping effect on the system comes from dissipative tip sample forces such as viscosity and adhesion. Damping, η, is observed in a CR-AFM system by monitoring the amplitude and Q factor of the resonant modes of the cantilever. This contact stiffness and damping information can then be used to obtain information about the viscoelastic properties of the material when fit to an applicable model.


Author(s):  
Matteo Aureli ◽  
Ryan Tung

Abstract In this paper, we present a new contact resonance atomic force microscopy based method utilizing a square, plate-like microsensor to accurately estimate viscoelastic sample properties. A theoretical derivation, based on Rayleigh-Ritz method and on an “unconventional” generalized eigenvalue problem, is presented and a numerical experiment is devised to verify the method. We present an updated sensitivity criterion that allows users, given a set of measured in-contact eigenfrequencies and modal damping ratios, to select the best eigenfrequency for accurate data estimation. The verification results are then presented and discussed. Results show that the proposed method performs extremely well in the identification of viscoelastic properties over broad ranges of non-dimensional sample stiffness and damping values.


2013 ◽  
Vol 378 ◽  
pp. 466-471
Author(s):  
Po Jen Shih ◽  
Shang Hao Cai

The dynamic behaviors of carbon nanotube probes applied in Atomic Force Microscope measurement are of interest in advanced nanoscalar topography. In this paper, we developed the characteristic equations and applied the model analysis to solve the eigenvalues of the microcantilever and the carbon nanotube. The eigenvalues were then used in the tapping mode system to predict the frequency responses against the tip-sample separations. It was found that the frequency drop steeply if the separation was less than certain distances. This instability of frequency is deduced from the jump of microcantilever or the jump of the carbon nanotube. Various lengths and binding angles of the carbon nanotube were considered, and the results indicated that the binding angle dominated the frequency responses and jumps.


1996 ◽  
Vol 70 (1) ◽  
pp. 556-567 ◽  
Author(s):  
M. Radmacher ◽  
M. Fritz ◽  
C.M. Kacher ◽  
J.P. Cleveland ◽  
P.K. Hansma

Langmuir ◽  
2004 ◽  
Vol 20 (21) ◽  
pp. 9299-9303 ◽  
Author(s):  
Masaru Kawakami ◽  
Katherine Byrne ◽  
Bhavin Khatri ◽  
Tom C. B. Mcleish ◽  
Sheena E. Radford ◽  
...  

Small ◽  
2011 ◽  
Vol 7 (8) ◽  
pp. 1018-1022 ◽  
Author(s):  
Jason P. Killgore ◽  
Roy H. Geiss ◽  
Donna C. Hurley

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