An electron in an atom is in a quantum state described by a wave function the radial part of which has the form: R(E) = A2 exp(-{/3), where A is a constant, & r/ao, ao is the first Bohr radius, r is a distance from the nucleus. d) Determine dispersion of the position of the electron in this state <(r- )² >.

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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An electron in an atom is in a quantum state described by a wave function,
the radial part of which has the form:
R(E) = A2 exp(-{/3),
where A is a constant, & r/ao, ao is the first Bohr radius, ris a distance
from the nucleus.
d) Determine dispersion of the position of the electron in this state
< (r- <r>)² >.
Transcribed Image Text:An electron in an atom is in a quantum state described by a wave function, the radial part of which has the form: R(E) = A2 exp(-{/3), where A is a constant, & r/ao, ao is the first Bohr radius, ris a distance from the nucleus. d) Determine dispersion of the position of the electron in this state < (r- <r>)² >.
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