2. Show that the solution to the Schrödinger equation for n=1, 1-0, m=0 yield the Bohr radius. Hint:find the most probable value for r.3. What is the expectation value ofr in the 2s orbital?The hydrogen like 1s orbital have the form4.+(²where Z is the number of protons and a, =sh²/nue = 0.529 A. What is the probability of findingthe electron between the nucleus and a, for hydrogen? How does this compare to the Be" over thesame volume.

The normalized wavefunction of a H atom when n=1, l=0, and m=0 isWhere a0 is the Bohr radius and r…

Answered: 2. Show that the solution to the…

2. Show that the solution to the Schrödinger equation for n=1, 1-0, m-0 yield the Bohr radius. Hint: find the most probable value for r.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 10P: (a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate...

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Question

2. Show that the solution to the Schrödinger equation for n=1, 1-0, m=0 yield the Bohr radius. Hint:
find the most probable value for r.
3. What is the expectation value ofr in the 2s orbital?
The hydrogen like 1s orbital have the form
4.
+(²
where Z is the number of protons and a, =sh²/nue = 0.529 A. What is the probability of finding
the electron between the nucleus and a, for hydrogen? How does this compare to the Be" over the
same volume.

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Step 1: Normalized wave function of a Hydrogen atom

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Step 2: Determining P(r)

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Step 3: Determining the most probable value of r

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