a) Calculate the energies of the first three energy levels of an electron that is constrained to move on a sphere of radius 50 pm. Indicate the degeneracy of each rotational level.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter14: Rotational And Vibrational Spectroscopy
Section: Chapter Questions
Problem 14.26E: The following are sets of rotational quantum numbers (J,MJ,K). Label each indicated transition as...
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a) Calculate the energies of the first three energy levels of an electron that is constrained to move
on a sphere of radius 50 pm. Indicate the degeneracy of each rotational level.
b) For a certain quantum harmonic oscillator of effective mass 1.33 x 10-25 kg, the difference in
adjacent energy levels is 4.82 x 10–21 J. Calculate the force constant of the quantum harmonic
oscillator.
Transcribed Image Text:a) Calculate the energies of the first three energy levels of an electron that is constrained to move on a sphere of radius 50 pm. Indicate the degeneracy of each rotational level. b) For a certain quantum harmonic oscillator of effective mass 1.33 x 10-25 kg, the difference in adjacent energy levels is 4.82 x 10–21 J. Calculate the force constant of the quantum harmonic oscillator.
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