By Milad Radiom
This thesis addresses the improvement of a brand new strength spectroscopy instrument, correlation strength spectroscopy (CFS) for the dimension of the homes 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 provides the mechanical homes of the problem that spans the distance of the 2 cantilevers. The booklet additionally discusses improvement of CFS, its merits over AFM, and its software in unmarried molecule strength spectroscopy and micro-rheology.
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Extra info for Correlation Force Spectroscopy for Single Molecule Measurements
F = kBT / 2lp is a characteristic force and lp is the length of persistence segment in WLC model, kB is the Boltzmann constant, T is the absolute temperature, and Rmax is the contour length. It is noted that Kuhn length b = 2lp , and thus Rmax = bN , where N is the number of Kuhn segments. The FJC model assumes that the chain consists of N segments of Kuhn length b that are freely connected and there is no correlation between the Kuhn segments, while the WLC model assumes a continuous chain where the correlations between a segment on the chain and another segment along the chain becomes significantly small if they are separated by more than one persistence length lp.
The relationship between the characteristic time and the damping is given by: Internal Friction 33 Fig. 5 a Schematic of the smooth energy landscape U which varies along the reaction coordinate ≠ x. A is the minimum energy and st is the transition state. ∆F0 is the activation energy to cross the barrier. b Schematic of the rough energy landscape U with root-mean-squared roughness ε τ= ζ . 33) Since motion along the energy landscape is due to thermal fluctuations and is thus diffusive, the common theoretical framework for quantification of the energy landscape is Kramers theory  and Zwanzig theory .
This is done by translating the clamped end of the top cantilever downward a known distance with the z-piezo, and measuring the uncalibrated deflection of the cantilever in units of volts. When the tip of the top cantilever is in contact with the flat surface, the deflection in nanometers is equal to the distance travelled by the z-piezo. Inv. OLS of the top cantilever is then the slope of the deflection z-piezo plot in the contact region. Knowing the Inv. 1), the spring constant of the top cantilever can be calculated.