Hi,
I attached my textbook to aid you in the questions. The chapters covered would be from chapter 17 & 18 (Boltzmann factor, partition functions, and ideal gases).
Please use the Excel and play around with the numbers as listed in the questions. The first Excel is for Problem 1 and second is for Problem 4, just like its label. Please let me know if you have any questions. For Problem 1A, please make sure to scale down as it will simply look like an exponential function, but if you zoom in enough, you will see the dissociation energy. For 1B, play with the numbers in the Excel and see what it does to the plot. Then, describe what the parameter represents, there is no wrong answer, however, be reasonable and please explain the thought process that is being asked. As for 1D, please describe what the vibrational states tell you. For 1E, it is a typo and use the expression in 1c instead to determine the bounds, in the initial Excel (attached) it describes the homonuclear, so how would it look like for the heteronuclear expression?
For Problem 2, it is referring back to spectroscopy and there are alot of examples from the textbook (attached) in chapter 13. For 2B, don't overthink. In 2C, utilize the most probable J and use it to calculate your temperature.
For Problem 3D and E, they are simply conceptual questions.
For Problem 4, use the Excel attached below for problem 4. For Problem 4B, note that it is so much energy that the wavelength is massive.
For Problem 6, 6a is the spherical harmonics. Then follow the questions as listed below.
Thank you so much for your help. Sorry its alot!
Best regards,
Ashley