Which of the molecules below is a prolate symmetric top?

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Presentation transcript:

Which of the molecules below is a prolate symmetric top? (A) Water (B) Benzene (C) Sulfur hexafluoride (D) Ethane

Which of the molecules below is a prolate symmetric top? (A) Water asymmetric top (B) Benzene oblate symmetric top (C) Sulfur hexafluoride spherical top (D) Ethane prolate symmetric top

Consider a nonlinear polyatomic molecule with N atoms. In the absence of external fields, how many coordinates do I need to describe the vibrations of the molecule. (A) 3N (B) 3N - 3 (C) 3N - 6 (D) 2N

Consider a nonlinear polyatomic molecule with N atoms. In the absence of external fields, how many coordinates do I need to describe the vibrations of the molecule. (A) 3N This is how many coordinates all the atoms have. Not all are needed for vibrations. (B) 3N – 3 This would reflect that the position of the molecule as a whole (the COM position) is unnecessary to describe the vibrations, which is true, but ... (C) 3N - 6 ... the orientation in space is of no consequence either (D) 2N This makes no sense.

Recall the potential of the Harmonic oscillator. If you have n Harmonic Oscillators with coordinates qk, how do you describe the total potential energy of the system? (A) (B) (C)

Recall the potential of the Harmonic oscillator. If you have n Harmonic Oscillators with coordinates qk, how do you describe the total potential energy of the system? (A) (B) (C)