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a silicon cantilever is used A silicon cantilever is used to measure the mass of

ID: 2122524 • Letter: A

Question

a silicon cantilever is used

A silicon cantilever is used to measure the mass of vaccinia virus particles (arrowed). The cantilever mass is M = 1.00x10-14 kg. The oscillation frequency of the unloaded cantilever is 3.62953 MHz. We will model the oscillating cantilever as a block of mass m = M/3 on a spring of spring constant k, What is the spring constant? The cantilever is 6.00 mu m long and the end oscillates with an amplitude of 2.00 mu m. What is the end's maximum speed? The amplitude of the oscillations decreases to 1.00 mu m in 0.60 seconds. What is the time constant? The frequency of the loaded cantilever is 3.53839 MHz. What is the mass of the virus particles on the cantilever? (From Sensors and Actuators B 115 (2006) 189-197. Characterization of Vaccinia Virus Particles.)

Explanation / Answer

The silicon tip cantilever is widely used for AC mode AFM measurement. The radius of silicon tip protrudes approx.10nm and make it possible to high resolution AFM measurement. On the other hand, it is pointed out that the fine image first taken can not be obtained after repeating measurement by one cantilever which makes tip wear gradually. It is a special concern for people who are using AFM for product imspection.