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Chap4-SuppHW

Chap4-SuppHW - Supplementary Home Work Problems Chapter 4...

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Supplementary Home Work Problems Chapter 4 S4.1 The 6 π electrons in benzene can be approximated as electrons on a ring of radius r=1.75 Å. Calculate the wavelength, in Å, of the lowest π→π * transition in benzene. NOTE: See HW #4.2 (a) for eigenvalues and degeneracies. S4.2 Calculate the scalar product and cross product of the of the two vectors: S4.3 Consider a rigid rotor in the state characterized by: (a) Verify that ψ is a solution to the Rigid Rotor Schrödinger Equation What is the eigenvalue (i.e. energy)? (b) Determine the normalization constant, A. Note: because r is a constant for the rigid rotor, the “volume” element is: dV=sin θ d θ d φ ) Note: (c) Calculate the squared angular momentum, L 2 , of the rotor. (d) Calculate the z-component of angular momentum, L z , of the rotor: S4.4 The first two lines the rotational Raman spectrum of H 79 Br are found at 50.2 cm -1 and 83.7 cm -1 . Calculate the H-Br bond length, in Å. S4.5 Which of the following molecules will have a rotational microwave absorption spectrum?: H 2 O, H-C

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Chap4-SuppHW - Supplementary Home Work Problems Chapter 4...

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