3 Problems on Homework 7 - Quantum Mechanics I | PHY 389K, Assignments of Quantum Mechanics

Download 3 Problems on Homework 7 - Quantum Mechanics I | PHY 389K and more Assignments Quantum Mechanics in PDF only on Docsity! P389K HW7 3/27/09 1. The figure shows the typical high-resolution absorption spectrum of a diatomic molecule in the near infrared. numbers on top are the wavelengths of the absorbed radiation in µ = 10−6 m. The minimum in the center is at λ = 3.460 µ and the first peak to the left is at 3.485µ. (a) Does this molecule perform (1) vibrations (2) rotations (3) neither (4) both (b) If your answer in (a) includes (1), what is the energy difference En+1− En = ∆En meV between the neighboring vibrational levels? (c) If your answer in (a) includes (2), what is the energy difference between a rotational level with l = 0 and l = 1? (d) Why is the spectral line missing in the middle? (e)* Determine the frequency of vibration ω and/or the moment of inertia I (whichever is appropriate) of the diatomic molecule from the numbers given in the figure.1 1difficult problem—worth up to 3 extra points 1