Detailed calculations show that the value of Zeff for theoutermost electrons in Na and K atoms is 2.51+ and 3.49+,respectively. (a) What value do you estimate for Zeff experiencedby the outermost electron in both Na and K byassuming core electrons contribute 1.00 and valence electronscontribute 0.00 to the screening constant? (b) Whatvalues do you estimate for Zeff using Slater’s rules? (c) Whichapproach gives a more accurate estimate of Zeff? (d) Doeseither method of approximation account for the gradualincrease in Zeff that occurs upon moving down a group?(e) Predict Zeff for the outermost electrons in the Rb atombased on the calculations for Na and K.

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 55AP: The outermost electron in an alkali-metal atom is sometimes described as resembling an electron in...
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Detailed calculations show that the value of Zeff for the
outermost electrons in Na and K atoms is 2.51+ and 3.49+,
respectively. (a) What value do you estimate for Zeff experienced
by the outermost electron in both Na and K by
assuming core electrons contribute 1.00 and valence electrons
contribute 0.00 to the screening constant? (b) What
values do you estimate for Zeff using Slater’s rules? (c) Which
approach gives a more accurate estimate of Zeff? (d) Does
either method of approximation account for the gradual
increase in Zeff that occurs upon moving down a group?
(e) Predict Zeff for the outermost electrons in the Rb atom
based on the calculations for Na and K.

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