0.8 0.6 0.4 0.2 1 2 4 Radius, ra, Fig. 4 The wavefunction for an electron in the ground state of a hydrogen atom is an exponentially decaying function of the form e fe), where a, is the Bohr radius. Wavefunction, y(r\/w(0) LO

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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The wavefunction of an electron in the lowest energy state of a hydrogen atom is proportional to e-t/a0, with a0= 52.9 pm and r the distance from the nucleus (as shown). Ca lcu late the relative probabilit ies of f inding the electron inside a small cubic volume located at (a) the nucleus. (b) a distance a0 from the nucleus.

0.8
0.6
0.4
0.2
1
2
4
Radius, ra,
Fig. 4 The wavefunction for an electron in the ground state of
a hydrogen atom is an exponentially decaying function of the
form e fe), where a, is the Bohr radius.
Wavefunction, y(r\/w(0)
LO
Transcribed Image Text:0.8 0.6 0.4 0.2 1 2 4 Radius, ra, Fig. 4 The wavefunction for an electron in the ground state of a hydrogen atom is an exponentially decaying function of the form e fe), where a, is the Bohr radius. Wavefunction, y(r\/w(0) LO
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