Dynamic nano-sensing for the characterization of soft matter
Analyzing the response of vibrating AFM cantilevers for the characterization of single biomolecules and polymers
The transfer function approach is a straightforward method to analyze the AFM dynamics considering all resonance modes of the cantilever. We study standard configurations of the AFM system with different actuation inputs and measurement outputs, including a linearized tip-sample interaction force. The transfer functions are used in the quantitative analysis of AFM force spectroscopy experiments and for model based control of the AFM for robotic operation of the system.

Scheme of the I/O configuration of an single molecule force pulling experiment.
Selected publications
- O. von Sicard, A.M. Gigler, T. Drobek, R. W. Stark, "Torsional noise of a colloidal probe in contact with surface-grafted PEG layers", Langmuir, vol. 25 (5), pp 2924–2927, 2009; doi:10.1021/la8038329
- C. Dietz, M. Zerson, C. Riesch, A. M. Gigler, R.W. Stark, N. Rehse, R. Magerle, "Nanotomography with enhanced resolution using bimodal atomic force microscopy", Appl. Phys. Lett. vol. 92, art. 143107, 2008, doi: 10.1063/1.2907500
- R. Vázquez, F.J. Rubio-Sierra, R.W. Stark,"Multimodal analysis of force spectroscopy based on a transfer function study of micro-cantilevers", Nanotechnology, vol. 18, art. 185504, 2007 doi:10.1088/0957-4484/18/18/185504
- F. J. Rubio-Sierra, R. Vazquez, and R. W. Stark, "Transfer Function Analysis of the Micro Cantilever used in Atomic Force Microscopy", IEEE T. Nanotechnology, vol. 5(6), pp 692-700, 2006, doi: 10.1109/TNANO.2006.883479
- M. Stark, R. Guckenberger, A. Stemmer, R.W. Stark, “Estimating the transfer function of the cantilever in atomic force microscopy: a system identification approach”, J. Appl. Phys., 98, 114904, 2005, doi:10.1063/1.2137887
Friction on the nanometer scale: shear force microscopy by torsional resonance AFM imaging

DNA-protein complex (LexA) imaged in torsional resonance mode AFM.
Torsional resonance mode (TR-mode, Veeco) is a measurement mode in atomic force microscopy which is based on lateral forces between the probe tip and sample surface. Utilizing advanced sensing hardware and electronics to characterize torsion oscillations of the cantilever, TR mode enables detailed, nanoscale examination of in-plane anisotropy, and provides new perspectives in the study of material structures and properties. Dynamic tip-sample interaction of TR-mode AFM is mainly in-plane (or lateral), which sets the method apart from the other primary imaging modes whose dynamic tip-sample interactions are mainly vertical, or out-of-plane. TR-mode AFM is sensitive to differences that arise in lateral tip-sample interaction streng th at the same sample location when the in-plane orientation of the sample is changed. In other words, TR-mode can detect differences in tip-sample interaction that indicate azimuthal anisotropy on or near the sample surface. In our research group, we are trying to understand the mechanical response of the cantilever under surface coupled visco-elastic interaction during the imaging and the manipulation. We have calculated the transfer function of the system by using the finite element analysis (FEA).
Selected publications
- A. Yurtsever, A.M. Gigler, R.W. Stark, "Amplitude and frequency modulation torsional resonance mode atomic force microscopy of a mineral surface", Ultramicroscopy, vol. 109 (3), pp. 275-279, 2009; doi:10.1016/j.ultramic.2008.11.016
- A. Yurtsever, A. M. Gigler, C. Dietz, R.W. Stark, "Frequency modulated torsional resonance mode atomic force microscopy on polymers", Appl. Phys. Lett., vol. 92, art. 143103, 2008, doi: 10.1063/1.2907498
- G. Weissmüller, A. Yurtsever, L. T. Costa, A. B. F. Pacheco, P. M. Bisch, W. M. Heckl, R. W. Stark, "Torsional resonance mode atomic force microscopy of a protein-DNA complex", Nano, vol. 3, iss. 6, pp 443-448 doi: 10.1142/S1793292008001374
- A. Yurtsever, A. M. Gigler, E. Macias, R. W. Stark: Response of a laterally vibrating nano-tip to surface forces, Appl. Phys. Lett., vol. 91, art. 253120, 2007, doi: 10.1063/1.2826285
- T. Drobek, R.W. Stark, W.M. Heckl (2001): Determination of shear stiffness based on thermal noise analysis in atomic-force microscopy: Passive overtone microscopy, Phys. Rev. B, 64, 045401, doi: 10.1103/PhysRevB.64.045401
- T. Drobek, R.W. Stark, M. Gräber, W.M. Heckl, (1999): Overtone atomic force microscopy studies of decagonal quasicrystal surfaces, New Journal of Physics 1, Art 15 doi:10.1088/1367-2630/1/1/315
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