# Power spectrum analysis with least-squares fitting: Amplitude bias and its elimination, with application to optical tweezers and atomic force microscope cantilevers

## Related Articles

- Erratum: 'Real time estimation of equivalent cantilever parameters in tapping mode atomic force microscopy' [Appl. Phys. Lett. 95, 083113 (2009)]. Agarwal, Pranav; Salapaka, Murti V. // Applied Physics Letters;4/9/2012, Vol. 100 Issue 15, p159901
A correction to the article "Real time estimation of equivalent cantilever parameters in tapping mode atomic force microscopy," by Pranav Agarwal and Murti V. Salapaka that was published in the 2009 issue is presented.

- Coaxial atomic force microscope tweezers. Brown, K. A.; Aguilar, J. A.; Westervelt, R. M. // Applied Physics Letters;3/22/2010, Vol. 96 Issue 12, p123109
We demonstrate coaxial atomic force microscope (AFM) tweezers that can trap and place small objects using dielectrophoresis (DEP). An attractive force is generated at the tip of a coaxial AFM probe by applying a radio frequency voltage between the center conductor and a grounded shield; the...

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The linear viscoelastic behaviors of single semiflexible chains with internal friction are studied based on the wormlike-chain model. It is shown that the frequency dependence of the complex compliance in the high frequency limit is the same as that of the Voigt model. This asymptotic behavior...

- Energy Landscape of Alginate-Epimerase Interactions Assessed by Optical Tweezers and Atomic Force Microscopy. Håti, Armend Gazmeno; Aachmann, Finn Lillelund; Stokke, Bjørn Torger; Skjåk-Bræk, Gudmund; Sletmoen, Marit // PLoS ONE;10/23/2015, Vol. 10 Issue 10, p1
Mannuronan C-5 epimerases are a family of enzymes that catalyze epimerization of alginates at the polymer level. This group of enzymes thus enables the tailor-making of various alginate residue sequences to attain various functional properties, e.g. viscosity, gelation and ion binding. Here, the...

- Exact L2-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Nazarov, A. I.; Nikitin, Ya. Yu. // Probability Theory & Related Fields;Aug2004, Vol. 129 Issue 4, p469
We find the exact small deviation asymptotics for the L2-norm of various m-times integrated Gaussian processes closely connected with the Wiener process and the Ornstein ï¿½ Uhlenbeck process. Using a general approach from the spectral theory of linear differential operators we obtain the...

- Measurement of single-molecule frictional dissipation in a prototypical nanoscale system. Hedgeland, H.; Fouquet, P.; Jardine, A. P.; Alexandrowicz, G.; Allison, W.; Ellis, J. // Nature Physics;Aug2009, Vol. 5 Issue 8, p561
Fast-moving nanoscale systems offer the tantalizing possibility for rapid processing of materials, energy or information. Frictional forces can easily dominate the motion of these systems, yet whereas nanomechanical techniques, such as atomic force microscopy, are widely used to measure static...

- Development of low noise cantilever deflection sensor for multienvironment frequency-modulation atomic force microscopy. Fukuma, Takeshi; Kimura, Masayuki; Kobayashi, Kei; Matsushige, Kazumi; Yamada, Hirofumi // Review of Scientific Instruments;May2005, Vol. 76 Issue 5, p053704
We have developed a low noise cantilever deflection sensor with a deflection noise density of 17 fm/ âˆšHz by optimizing the parameters used in optical beam defle-ction (OBD) method. Using this sensor, we have developed a multienvironment freq-uency-modulation atomic force microscope (FM-AFM)...

- Resolving the Role of Actoymyosin Contractility in Cell Microrheology. Hale, Christopher M.; Sun, Sean X.; Wirtz, Denis // PLoS ONE;2009, Vol. 4 Issue 9, p1
Einstein's original description of Brownian motion established a direct relationship between thermally-excited random forces and the transport properties of a submicron particle in a viscous liquid. Recent work based on reconstituted actin filament networks suggests that nonthermal forces driven...

- Surface stress induced deflections of cantilever plates with applications to the atomic force microscope: V-shaped plates. Sader, John Elie // Journal of Applied Physics;6/1/2002, Vol. 91 Issue 11, p9354
Surface stress measurements using atomic force microscopy (AFM) require theoretical knowledge of the surface stress induced deformation of AFM cantilever plates. In a companion paper [J. E. Sader, J. Appl. Phys. 89, 2911 (2001)], a detailed theoretical study of the effects of homogeneous surface...