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'. 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.
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'. 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.
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter11: Molecular Structure
Section: Chapter Questions
Problem 15P
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