A virtual dynamic atomic force microscope for image calculations

Calculations of frequency modulation-atomic force microscopy (FM-AFM) images are presented. A virtual FM-AFM, which realistically simulates the experiment by including the control system of the microscope, is implemented in order to go beyond the usual static approximation. It is shown that the results obtained within the static approach can be recovered in the limit of small scanning speed, while images at realistic scanning speed are distorted. The influence of the experimental noise on the images is investigated, allowing us to evaluate the sensitivity of the instrument.

[1]  Contrast formation in atomic resolution scanning force microscopy on CaF2(111): experiment and theory , 2001 .

[2]  M. Reichling,et al.  Atomic Resolution Imaging on Fluorides , 2002 .

[3]  Michel Gauthier,et al.  Interplay between nonlinearity, scan speed, damping, and electronics in frequency modulation atomic-force microscopy. , 2002, Physical review letters.

[4]  B. Gotsmann,et al.  The measurement of hysteretic forces by dynamic AFM , 2001 .

[5]  M. Tsukada,et al.  Theory for the effect of the tip surface interaction potential on atomic resolution in forced vibration system of noncontact AFM , 1999 .

[6]  J. Salardenne,et al.  A virtual non contact-atomic force microscope (NC-AFM): Simulation and comparison with analytical models , 2001 .

[7]  Hendrik Hölscher,et al.  Calculation of the frequency shift in dynamic force microscopy , 1999 .

[8]  Distance dependence of force and dissipation in non-contact atomic force microscopy on Cu(100) and Al(111) , 2004, physics/0511151.

[9]  Benjamin C. Kuo,et al.  AUTOMATIC CONTROL SYSTEMS , 1962, Universum:Technical sciences.

[10]  Abdullah Atalar,et al.  Analysis and design of an interdigital cantilever as a displacement sensor , 1998 .

[11]  E. Meyer,et al.  Experimental aspects of dissipation force microscopy , 2000 .

[12]  Microwatt shot-noise measurement. , 1995, Applied optics.

[13]  Seizo Morita,et al.  Mechanical vertical manipulation of selected single atoms by soft nanoindentation using near contact atomic force microscopy. , 2003, Physical review letters.

[14]  Ya-Gang Wang,et al.  Optimal tuning for PI controller , 2000, Autom..

[15]  Christian Joachim,et al.  SINGLE-ATOM MOTION DURING A LATERAL STM MANIPULATION , 1999 .

[16]  Urs Dürig,et al.  DYNAMIC FORCE MICROSCOPY BY MEANS OF THE PHASE-CONTROLLED OSCILLATOR METHOD , 1997 .

[17]  Gerd Meyer,et al.  BASIC STEPS OF LATERAL MANIPULATION OF SINGLE ATOMS AND DIATOMIC CLUSTERS WITH A SCANNING TUNNELING MICROSCOPE TIP , 1997 .

[18]  M. Roukes,et al.  Noise processes in nanomechanical resonators , 2002 .

[19]  D. Rugar,et al.  Frequency modulation detection using high‐Q cantilevers for enhanced force microscope sensitivity , 1991 .

[20]  Harald Fuchs,et al.  Conservative and dissipative tip-sample interaction forces probed with dynamic AFM , 1999 .

[21]  L. Kantorovich A simple non-equilibrium theory of non-contact dissipation force microscopy , 2001 .

[22]  Franz J. Giessibl,et al.  Forces and frequency shifts in atomic-resolution dynamic-force microscopy , 1997 .

[23]  E. Meyer,et al.  Fast digital electronics for application in dynamic force microscopy using high-Q cantilevers , 1998 .

[24]  Ernst Meyer,et al.  Separation of interactions by noncontact force microscopy , 2000 .

[25]  U. Dürig,et al.  Interaction force detection in scanning probe microscopy: Methods and applications , 1992 .

[26]  L. Kantorovich,et al.  Atomistic simulations of the adhesion hysteresis mechanism of atomic scale dissipation in non-contact atomic force microscopy , 2004 .

[27]  The height dependence of image contrast when imaging by non-contact AFM , 2000 .

[28]  Franz J. Giessibl,et al.  Advances in atomic force microscopy , 2003, cond-mat/0305119.

[29]  L. Nony,et al.  Nonlinear dynamical properties of an oscillating tip–cantilever system in the tapping mode , 1999, physics/0510099.

[30]  Shankar P. Bhattacharyya,et al.  PI stabilization of first-order systems with time delay , 2001, Autom..

[31]  L. Verlet Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules , 1967 .