help a) Calculate the energies of the first three energy levels of an electron that is constrained to moveon 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 inadjacent energy levels is 4.82 x 10–21 J. Calculate the force constant of the quantum harmonicoscillator.

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

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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.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom

Section: Chapter Questions

Problem 11.24E: Based on the trend shown in Figure 11.5, draw the probability distribution of a harmonic oscillator...

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Question

help

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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