Correlation Force Spectroscopy for Single Molecule Measurements [Paperback]

This thesis?addresses the development of a new force spectroscopy tool, correlation force spectroscopy (CFS) for the measurement of the properties of very small volumes of material (molecular to ?m³) at kHz-MHz frequency range. CFS measures the simultaneous thermal fluctuations of two closely-spaced atomic force microscopy (AFM) cantilevers.? CFS then calculates the cross-correlation in the thermal fluctuations that gives the mechanical properties of the matter that spans the gap of the two cantilevers. The book also discusses development of CFS, its advantages over AFM, and its application in single molecule force spectroscopy and micro-rheology.

Chapter 1 - Introduction
Overview of Single Molecule Force Spectroscopy Techniques
Experiments Using Single molecule AFM
Limitations of AFM-based single molecule force spectroscopy
Summary?

Chapter 2- Correlation Force Spectroscopy?
Correlation Force Spectroscopy: Rationale?
Correlation Force Spectroscopy: Development
Laterally Offset Configuration?
Vertically Offset Configuration?
Analysis of Correlations between Two Cantilevers?
Validation of Fluctuation-Dissipation Theorem for One Cantilever?
Analysis of Thermal Fluctuations to obtain Correlations?

Chapter 3- Dynamics of Single Molecules?
Elastic Properties of Single Molecules: Worm-Like Chain and Freely-Jointed Chain Models
Hydrodynamics of Single Molecules: Dumbbell Model and Rouse Model
Internal Friction
Rouse with Internal Friction
Model of Linear Viscoelasticity of a Semiflexible Chain
Summary

Chapter 4- Microrheology with Correlation Force Spectroscopy
Existing Techniques of Rheometry
Experimental Methods
Comparison to Finite Element Analysis
Comparison to Simple Harmonic Oscillator Mols!