14N16O has a force constant, k, of 1550 N/m and a moment of inertia, I, of...

14N16O has a force constant, k, of 1550 N/m and a moment of inertia, I, of 1.642x10-46 kg m2.

a. What is the wavenumber of the photon that will be absorbed during the v=2 to v=3 vibrational transition if it acts as a harmonic oscillator?

b. What is the wavenumber of a photon that will be absorbed during the same transition in part (a) if the molecule behaves instead as an anharmonic oscillator with an anharmonicity constant of 0.007392?

c. Given what you know about the harmonic and anharmonic oscillator models, which of the two models do you think would give a better fit to these transitions in real life? Briefly justify your answer, using what you know about the applicability of these model systems to support your conclusion.

d. What is the wavenumber of the photon that will be absorbed during the J=7 to J=8 transition if it acts as a rigid rotor?

e. Comment on the relative magnitudes of the vibrational and rotational transitions in 14N16O. Why are vibrational modes excited by infrared radiation, while rotational modes are excited by microwave radiation?

Expert Solution

genius_generous answered 2 years ago

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