Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
Question
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Chapter 37, Problem 38P

(a)

To determine

The classical vibrational frequency of the oxygen molecule.

(b)

To determine

The rotational inertia of the molecule.

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The two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart.  The mass of the carbon atom is 1.993x10-26 kg.  The mass of the oxygen atom is 2.656x10-26 kg.  Spectroscopic measurements show that adjacent vibrational energy levels for the CO molecule are 0.269 eV.   What is the effective spring constant of the CO molecule? (Give your answer in N/m.)
The wavelength of the emitted photon from the hydrogen molecule H2 is 2.30 μm (micrometers) when the vibrational quantum number decreases by one.  What is the effective "spring constant" for the H2 molecule in N/m ?What is the "zero point" energy (in eV) of the molecular vibration?
The hydrogen iodide (HI) molecule has equilibrium separation 0.160 nm and vibrational frequency 6.93 * 1013 Hz. The mass of a hydrogen atom is 1.67 * 10-27 kg, and the mass of an iodine atom is 2.11 * 10-25 kg. (a) Calculate the moment of inertia of HI about a perpendicular axis through its center of mass. (b) Calculate the wavelength of the photon emitted in each of the following vibration-rotation transitions: (i) n = 1, l = 1 S n = 0, l = 0; (ii) n = 1, l = 2 S n = 0, l = 1; (iii) n = 2, l = 2 S n = 1, l = 3.

Chapter 37 Solutions

Essential University Physics: Volume 2 (3rd Edition)

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