By Milad Radiom
This thesis addresses the improvement of a brand new strength spectroscopy device, correlation strength spectroscopy (CFS) for the size of the houses of very small volumes of fabric (molecular to µm3) at kHz-MHz frequency variety. CFS measures the simultaneous thermal fluctuations of 2 closely-spaced atomic strength microscopy (AFM) cantilevers. CFS then calculates the cross-correlation within the thermal fluctuations that offers the mechanical houses of the problem that spans the distance of the 2 cantilevers. The booklet additionally discusses improvement of CFS, its merits over AFM, and its program in unmarried molecule strength spectroscopy and micro-rheology.
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Extra info for Correlation Force Spectroscopy for Single Molecule Measurements
The autocorrelation (normalized by kBT / kc ) and the deflection (normalized by its value at time zero) after release of a step force are plotted on the same axis. 1 N/m and resonant frequency 5 kHz in water 1. Dividing the whole data points into Nave bins where each bin has Nbin = N/Nave number of points 2. Multiplying each bin by a Hanning window1 and then subtracting a linear curve fit from each bin to remove drift in the signal (this removes the deflection of the AFM cantilevers that arises from small temperature changes).
5) x1 ( 0 ) x1 ( t ) , where x1 is the thermal motions of the first cantilevers, x2 is the thermal motions of the second cantilever, and t is the time lag in correlation measurement. 2). 3). 2)). Smaller cross-correlation function is intuitive and should be distance dependent. Correlation in thermal motions of the two cantilevers arises from fluid coupling the two cantilevers. This coupling is a small effect, resulting in a small cross-correlation function compared with the autocorrelation of one cantilever with itself.
Summary The CFS measurements are predicted to have the following advantages over (conventional) analysis of a single cantilever in AFM: • Decreased damping due to a smaller hydrodynamic interaction between two cantilevers than over an entire cantilever. • A smaller magnitude of correlation function, and a larger relative change in the correlation function, when a polymer is straddled between two tips. These effects are discussed in the future chapters. Chapter 2 Correlation Force Spectroscopy Correlation Force Spectroscopy: Rationale In principle, the main advantage of correlation force spectroscopy (CFS) over onecantilever atomic force microscopy (AFM) is that the thermal noise in the crosscorrelation between two cantilevers is much smaller than the thermal noise in the autocorrelation for a single cantilever [43, 47], so here, I examine this prediction.
Correlation Force Spectroscopy for Single Molecule Measurements by Milad Radiom