Answer Happy

A water molecule can vibrate in various ways, but the easiest type of vibration to excite is the "flexing" mode in which the hydrogen atoms move toward and away from each other but the H-O bonds do not stretch. The oscillations of this mode are approximately harmonic, with a frequency of 4.8 x 1013 Ha As for any quantum harmonic oscillator, the energy levels are hf. hf. hf, and so on. None of these levels are degenerate. Calculate the probability (up to five decimal places) of a water molecule (a) in its flexing ground state: (b) in the first excited state: (c) in the second excited state: HINT: Calculate Z by adding up the first few Boltzmann factors until the rest are negligible.