Triangular Cantilever Experiment
Final Practical Report
Module –Atomic Force Microscopy for Bionanoscience (PHYC40560)
Student name – Bikramjit Bhattacharjee (Student ID -14201299)
Date of the experiment – 14/11/14
Date of report submission –
Amplitude modulation AFM imaging of amyloid β-protein fibrils in a liquid environment
Abstract – The Atomic Force Microscope (AFM) can be used to image and assess mechanical properties of various samples in a range of environments mirroring the physiological conditions for biological samples. The aim of this experiment was to use the AFM in the amplitude modulation (/tapping) mode [4] to image amyloid β-protein (25-35) (Aβ(25-35))fibrils, in a liquid environment (milli Q) water which was used as the imaging buffer. The experiment was
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2.2 – Calibration of the cantilever – 2.2 (a) - Determination of the spring constant of the AFM cantilever – For the triangular cantilever, the force/spring constant was evaluated by the thermal noise method [13] while for the rectangular cantilever (AIOAl), the Sader method [14],[15] was used by the IGOR software to calculate the same parameter. The methods are detailed below. 2.2 (a) – (i) – Thermal Noise Method - The spring constant and sensitivity of the above cantilever is calibrated using the thermal method. This essentially stems from the equipartition theorem which states that the thermal energy present in all terms in the Hamiltonian of a system that are quadratically dependent on a generalized co-ordinate is equal to kBT/2, where kB is the Boltzmann’s constant and T the absolute temperature in Kelvin. If one treats the cantilever as an ideal spring of constant k, a measurement of the thermal noise <x2> in its position allows the spring constant to be determined as k = kBT/<x2> (1)
Relation (1) is an idealization and a more physically accurate formula [16], is given
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