Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 37, Problem 20E
To determine

The spacing between its vibrational energy levels.

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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.)
Atoms vibrate relative to one another in molecules with the bond acting as a spring. Consider the H – CI bond, where the heavy Cl atom forms a stationary anchor for the very light H atom. That is, only the H atom moves, vibrating as a simple harmonic oscillator. (a) Give the equation that describes the allowed vibrational energy levels of the bond. (b) The force constant kf for the H – Cl bond is 516.3 N m'1. Given the mass of H equal to 1.7 x 1027 kg, determine the difference in energy (separation) between adjacent energy levels. (c) Calculate the zero-point energy of this molecular oscillator.
Quantum Physics

Chapter 37 Solutions

Essential University Physics: Volume 2 (3rd Edition)

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