(a) What are the similarities of and differences between the1s and 2s orbitals of the hydrogen atom? (b) In what sensedoes a 2p orbital have directional character? Compare the“directional” characteristics of the px and dx2 - y2 orbitals.(That is, in what direction or region of space is the electrondensity concentrated?) (c) What can you say about the averagedistance from the nucleus of an electron in a 2s orbital ascompared with a 3s orbital? (d) For the hydrogen atom, listthe following orbitals in order of increasing energy (that is,most stable ones first): 4f, 6s, 3d, 1s, 2p.

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 12P: The helium ion He+ is a one-electron system whose wave functions and energy levels are obtained from...
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(a) What are the similarities of and differences between the
1s and 2s orbitals of the hydrogen atom? (b) In what sense
does a 2p orbital have directional character? Compare the
“directional” characteristics of the px and dx2 - y2 orbitals.
(That is, in what direction or region of space is the electron
density concentrated?) (c) What can you say about the average
distance from the nucleus of an electron in a 2s orbital as
compared with a 3s orbital? (d) For the hydrogen atom, list
the following orbitals in order of increasing energy (that is,
most stable ones first): 4f, 6s, 3d, 1s, 2p.

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