The radial probability density of a hydrogen wavefunction in the 1s state is given by P (r) = |4ar² (R1s(r))²i and the radial wavefunction R1, (r) = , where ao is the Bohr radius. Using the standard integral * " e-kz dæ = calculate the standard deviation in the radial position from the nucleus for the 1s state in the Hydrogen atom. Give your answer in units of the Bohr radius ag.
The radial probability density of a hydrogen wavefunction in the 1s state is given by P (r) = |4ar² (R1s(r))²i and the radial wavefunction R1, (r) = , where ao is the Bohr radius. Using the standard integral * " e-kz dæ = calculate the standard deviation in the radial position from the nucleus for the 1s state in the Hydrogen atom. Give your answer in units of the Bohr radius ag.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Atomic Physics
Section: Chapter Questions
Problem 13P
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![The radial probability density of a hydrogen wavefunction in the 1s state is given by P (r) = |47r² (R1s(r))²|
, where ao is the Bohr radius. Using the standard integral
and the radial wavefunction R1, (r) =
z e ,
3/2
z" e-k dæ = , calculate the standard deviation in the radial position from the nucleus for the 1s state in
the Hydrogen atom. Give your answer in units of the Bohr radius ao.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e470823-7f47-4b76-8ea2-0a18c619baf2%2F33ebbfef-1eaf-4797-a4f1-625ba6d67869%2Fp9k1inh_processed.png&w=3840&q=75)
Transcribed Image Text:The radial probability density of a hydrogen wavefunction in the 1s state is given by P (r) = |47r² (R1s(r))²|
, where ao is the Bohr radius. Using the standard integral
and the radial wavefunction R1, (r) =
z e ,
3/2
z" e-k dæ = , calculate the standard deviation in the radial position from the nucleus for the 1s state in
the Hydrogen atom. Give your answer in units of the Bohr radius ao.
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We have the wave function given by and radial probability density where ao is the Bohr radius.
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