Accurate formulas for interaction force and energy in frequency modulation force spectroscopy
نویسندگان
چکیده
Frequency modulation atomic force microscopy utilizes the change in resonant frequency of a cantilever to detect variations in the interaction force between cantilever tip and sample. While a simple relation exists enabling the frequency shift to be determined for a given force law, the required complementary inverse relation does not exist for arbitrary oscillation amplitudes of the cantilever. In this letter we address this problem and present simple yet accurate formulas that enable the interaction force and energy to be determined directly from the measured frequency shift. These formulas are valid for any oscillation amplitude and interaction force, and are therefore of widespread applicability in frequency modulation dynamic force spectroscopy. © 2004 American Institute of Physics. @DOI: 10.1063/1.1667267#
منابع مشابه
Sensitivity Analysis of Frequency Response of Atomic Force Microscopy in Liquid Environment on Cantilever's Geometrical Parameters
In this paper, the non-linear dynamic response of rectangular atomic force microscopy in tapping mode is considered. The effect of cantilever’s geometrical parameters (e.g., cantilever length, width, thickness, tip length and the angle between the cantilever and the sample's surface in liquid environment has been studied by taking into account the interaction forces. Results indicate that the r...
متن کاملFormulas for force dipole interaction of surface line defects in homoepitaxy
By use of asymptotics, we derive explicit, simplified formulas for integrals representing the force dipole interaction energy per unit length between curved line defects (steps) of the same sign in homoepitaxy. Our starting point is continuum linear elasticity in accordance with the classic model by Marchenko and Parshin (1981 Soviet Phys. JETP 52 129). We consider geometries that stem from per...
متن کاملAccurate, explicit formulae for higher harmonic force spectroscopy by frequency modulation-AFM
The nonlinear interaction between an AFM tip and a sample gives rise to oscillations of the cantilever at integral multiples (harmonics) of the fundamental resonance frequency. The higher order harmonics have long been recognized to hold invaluable information on short range interactions but their utilization has thus far been relatively limited due to theoretical and experimental complexities....
متن کاملEffects of Fluid Environment Properties on the Nonlinear Vibrations of AFM Piezoelectric Microcantilevers
Nowadays, atomic-force microscopy plays a significant role in nanoscience and nanotechnology, and is widely used for direct measurement at atomic scale and scanning the sample surfaces. In tapping mode, the microcantilever of atomic-force microscope is excited at resonance frequency. Therefore, it is important to study its resonance. Moreover, atomic-force microscopes can be operated in fluid e...
متن کاملDevelopment and Applications of Multifrequency Imaging
Title of Dissertation: DEVELOPMENT AND APPLICATIONS OF MULTIFREQUENCY IMAGING AND SPECTROSCOPY METHODS IN DYNAMIC ATOMIC FORCE MICROSCOPY Gaurav Chawla, Doctor of Philosophy, 2011 Dissertation directed by: Assistant Professor Santiago D. Solares, Department of Mechanical Engineering Force spectroscopy and surface dissipation mapping are two of the most important applications of dynamic atomic f...
متن کامل