Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 10, Problem 10.51E
Interpretation Introduction
Interpretation:
The number of nodes for the one-dimensional particle-in-a-box in the state described by
Concept introduction:
The number of nodes for the one-dimensional particle-in-a-box in the state described as the position where probability of finding the electron is zero. These nodes do not include the boundary positions. At the node, the wavefunction gives a value of zero.
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Chapter 10 Solutions
Physical Chemistry
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- Consider a one-dimensional particle-in-a-box and a three-dimensional particle-in-a-box that have the same dimensions. a What is the ratio of the energies of a particle having the lowest possible quantum numbers in both boxes? b Does this ratio stay the same if the quantum numbers are not the lowest possible values?arrow_forwardIndicate which of these expressions yield an eigenvalue equation, and if so indicate the eigenvalue. a ddxcos4xb d2dx2cos4x c px(sin2x3)d x(2asin2xa) e 3(4lnx2), where 3=3f ddsincos g d2d2sincosh ddtanarrow_forwardWhat is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forward
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