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Unformatted text preview: Homework 2 Part 1 (Due February 1 st ) 1. Given an electric field: g = g G sin¡¢ where ω=56.55 sec-1 a) Give the expression for the force acting on a single electron charge. b) Calculate the amount of work done for both a half and full cycle, when the response is in- phase with the electric field. Use the response equation: £ = £ G sin¡¢ + £ ¤G cos¡¢ (Note that you will not use x, but dx, the rate of change of x with respect to time) c) Explain the significance of your values for the previous question. 2. Given the following expressions for off- and on-resonance polarizabilities: a) Draw a representative graph of each function. Label which accounts for absorption and which accounts for scattering. b) For both the off- and on-resonance polariziability equations, explain why deviations of ω from the resonance frequency, ω , result in a large change in the polarizability. c) The equation for molar extinction coefficients is related to the polarizability via the equation: ¥ =...
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- Fall '09
- Electron, Raman Spectroscopy, Carbon nanotube, Serum albumin, Walled Carbon Nanotube