 # Vibrational Energy Levels & Rotational Spectrum Exercise  ## Vibrational Energy Levels & Rotational Spectrum Exercise

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1) (10 points) The force constant, k, of the C-O bond in carbon monoxide is 1.87 x 100 4. Assume that the vibrational motion of CO is purely harmonic and use the reduced mass u = 6.857 amu. Calculate the spacing between vibrational energy levels in this molecule, in units of ergs and cm-?. 2) (15 points) Calculate the vibrational frequency of: a) The HF molecule. Assume the bond length is 0.92 A. b) The F2 molecule. Assume the bond length is 1.25 Å. c) The F2 molecule. Increase the bond length from part b) by 10%, 20%, and 40%. Remember to show all of your work. 3) (15 points) Using the molecular program introduced in class, please calculate the frequency for each molecule in Problem #3 and answer the following: a) Report the calculated frequency for each molecule. b) Is there a difference between the calculated value from

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### UNFORMATTED ATTACHMENT PREVIEW

1) (10 points) The force constant, k, of the C-O bond in carbon monoxide is 1.87 x 100 4. Assume that the vibrational motion of CO is purely harmonic and use the reduced mass u = 6.857 amu. Calculate the spacing between vibrational energy levels in this molecule, in units of ergs and cm-?. 2) (15 points) Calculate the vibrational frequency of: a) The HF molecule. Assume the bond length is 0.92 A. b) The F2 molecule. Assume the bond length is 1.25 Å. c) The F2 molecule. Increase the bond length from part b) by 10%, 20%, and 40%. Remember to show all of your work. 3) (15 points) Using the molecular program introduced in class, please calculate the frequency for each molecule in Problem #3 and answer the following: a) Report the calculated frequency for each molecule. b) Is there a difference between the calculated value from

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