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A) Consider the 3ºK 35C1 molecule. In the far infrared spectrum, it has an intense line a 278.0 cm-1. Assume that it is an ideal quantum harmonic oscillator and estimate the period of vibration of the molecule.

A) Consider the 3ºK 35C1 molecule. In the far infrared spectrum, it has an intense line a 278.0 cm-1. Assume that it is an ideal quantum harmonic oscillator and estimate the period of vibration of the molecule.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Vibrations of molecules can be approximated by a harmonic oscillator only near the mini- mum of the binding potential curve, i.e., for small amplitudes for vibrations. Much better description is provided by the Morse potential 2 1 -h?w² ( n+ 4De En = hw ( n + A) Consider the 39K 35C1 molecule. In the far infrared spectrum, it has an intense line at 278.0 cm-1. Assume that it is an ideal quantum harmonic oscillator and estimate the period of vibration of the molecule. B) Now consider that 39K 35C1 molecule is described with a Morse potential with De 34843.15 cm-1 (this value comes from an experimental fit from the literature). If the excitation from the vibrational ground state to the first excited state is 278.0 cm-1, how much would the period of vibration change? How much would the energy transition between the first and second excited vibrational level differ from 278.0 cm-1?
Transcribed Image Text:Vibrations of molecules can be approximated by a harmonic oscillator only near the mini- mum of the binding potential curve, i.e., for small amplitudes for vibrations. Much better description is provided by the Morse potential 2 1 -h?w² ( n+ 4De En = hw ( n + A) Consider the 39K 35C1 molecule. In the far infrared spectrum, it has an intense line at 278.0 cm-1. Assume that it is an ideal quantum harmonic oscillator and estimate the period of vibration of the molecule. B) Now consider that 39K 35C1 molecule is described with a Morse potential with De 34843.15 cm-1 (this value comes from an experimental fit from the literature). If the excitation from the vibrational ground state to the first excited state is 278.0 cm-1, how much would the period of vibration change? How much would the energy transition between the first and second excited vibrational level differ from 278.0 cm-1?
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