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February 14, 2023

Briefly explain how the model systems of translational, vibrational, and rotational motion are used to represent the motions of a molecule. What does each type of motion depend on?

chemistry test / quiz prep

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Requirements: 1 page
CHEM402 Spring 2023 Exam 1 DUE 2/13/2023 Answers to the following problems must be emailed to me or uploaded to Blackboard before 6:00 pm. The exam is open book, notes, internet, etc. However, you may NOT work with any other person or Online tutoring/ help service. 1. Briefly explain how the model systems of translational, vibrational, and rotational motion are used to represent the motions of a molecule. What does each type of motion depend on? 10 pts 2. What is the meaning and effects of superposition? 10 pts 3. Consider the wavefunction Ψ(x)=cos @6?7A. (a) Normalize the wavefunction (b) find the momentum expectation value. (c) If the uncertainty in momentum is 0.012%, what is the uncertainty in position? 40 pts 4. Consider vibrational motion Determine the force constants when an electron moving in harmonic motion is excited from the n = 2 state to n = 4 when 520 nm light is absorbed. 20 pts 5. Consider rotational motion Apply the model of 2D rotational motion to the compound 14-Annulene. (a) Calculate the energy of an electron in the ml = 2 state and the ml = 3 state. (b) What wavelength of light would cause this transition? 20 pts Compound Compound Radius (pm) 14-Annulene 398

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