1. Raman is a much weaker processes compared to absorption and fluorescence. Suppose we have a 532 nm laser power with 100 mW power that is used to excite the Raman vibration of neat benzene in a cuvette. The cross-section of the ring breathing mode of benzene at 1000 cm is 1.05x102cm? Assume that the beam size is 1 mm and cuvette length is 5 mm. A lens is used to collect 10% of the emitted Raman signal. 1) Determine how many photons can be collected for detection per second. (4pts) 2) Calculate the heat energy generated per second for due to the Raman excitation at 1000 cm (3pts) Hint: The vibrational energy of the molecule is converted to heat due to non-radiative decay. 3) Calculate the ratio of anti-Stokes Raman to Stokes Raman of benzene ring breathing mode at room temperature (298K) for 532 nm excitation. What is the ratio at temperature 2000 K? (3pts)