a) Write the radial part of the wavefunction for the following orbitals: 2s, 3px and 3dyz of the Li2+ ion. b) Based on the equations you wrote, determine whether the orbitals have any radial nodes? Calculate the radius of the radial nodes in meters for each of the orbitals if possible. c) Compare the radius of the radial nodes of the above orbitals to the average distance of the electron from the nucleus in the orbitals.

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 10P: (a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate...
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a) Write the radial part of the wavefunction for the following orbitals: 2s, 3px and 3dyz of the Li2+ ion.

b) Based on the equations you wrote, determine whether the orbitals have any radial nodes? Calculate the radius of the radial nodes in meters for each of the orbitals if possible.

c) Compare the radius of the radial nodes of the above orbitals to the average distance of the electron from the nucleus in the orbitals.

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