Determine for the 1s-electron in the hydrogen atom the average value of its distance from the nucleus and dispersion of the position of the electron in this state ((r - (r))²). The radial part of a wave function has the form: R(E) = Aexp(-§), r where A is a constant, § =,a is the first Bohr radius, r is a distance from the nucleus. ao

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 48AP: The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=(...
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Determine for the 1s-electron in the hydrogen atom the average value of its
distance from the nucleus and dispersion of the position of the electron in this state
((r - (r))²).
The radial part of a wave function has the form:
R(E) = Aexp(-§),
where A is a constant, ==, do is the first Bohr radius, r is a distance from the
nucleus.
ao
Transcribed Image Text:Determine for the 1s-electron in the hydrogen atom the average value of its distance from the nucleus and dispersion of the position of the electron in this state ((r - (r))²). The radial part of a wave function has the form: R(E) = Aexp(-§), where A is a constant, ==, do is the first Bohr radius, r is a distance from the nucleus. ao
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