4. Sketch the shape of the ground state wavefunction for a harmonic oscillator, and the wavefunction for the next highest energy. Be sure to include the potential energy curve on the graph. What are the corresponding vibrational quantum numbers and the energies in terms of v, the classical vibrational frequency? a. A diatomic molecule with a reduced mass of 5.00 amu has a force constant of 1000 N m³. What is the vibrational frequency in cm¹?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter15: Introduction To Electronic Spectroscopy And Structure
Section: Chapter Questions
Problem 15.69E
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physical chemistry
4. Sketch the shape of the ground state wavefunction for a harmonic oscillator, and the
wavefunction for the next highest energy. Be sure to include the potential energy curve on the
graph. What are the corresponding vibrational quantum numbers and the energies in terms of v,
the classical vibrational frequency?
a. A diatomic molecule with a reduced mass of 5.00 amu has a force constant of 1000 N m¹.
What is the vibrational frequency in cm¹?
Transcribed Image Text:physical chemistry 4. Sketch the shape of the ground state wavefunction for a harmonic oscillator, and the wavefunction for the next highest energy. Be sure to include the potential energy curve on the graph. What are the corresponding vibrational quantum numbers and the energies in terms of v, the classical vibrational frequency? a. A diatomic molecule with a reduced mass of 5.00 amu has a force constant of 1000 N m¹. What is the vibrational frequency in cm¹?
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