Question 3 a) The Schrödinger equation for Li²+ is a2 + 87²m ax² ' ay² ' az² h? 3e? Ý = Eµ Briefly explain what each term in the equation represents. b) The wave function for the 3s orbital of Li²+ is

Chemistry: The Molecular Science
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Chapter5: Electron Configurations And The Periodic Table
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Problem 135QRT
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Question 3
a) The Schrödinger equation for Li²+ is
a2
+
+
8n?m \ax² ' ay² ' əz²,
h?
a2
3e?
p = Eµ
4TEor
Briefly explain what each term in the equation represents.
b) The wave function for the 3s orbital of Lj²+ is
1
P3s =
(27 – 180 + 202) exp(-)
729παρ
where o = ". Calculate the distance (in the unit of ao) of the radial node(s) from the
ao
nucleus. Using r as the x-axis, sketch out the diagrams of both P3s and 4žs.
c)
probability density occurs (i.e. peaks in the diagrams from part b), what would you do?
Briefly describe in words. You do not need to solve for the exact numbers.
If you were to calculate the distance from the nucleus where maximum
Transcribed Image Text:Question 3 a) The Schrödinger equation for Li²+ is a2 + + 8n?m \ax² ' ay² ' əz², h? a2 3e? p = Eµ 4TEor Briefly explain what each term in the equation represents. b) The wave function for the 3s orbital of Lj²+ is 1 P3s = (27 – 180 + 202) exp(-) 729παρ where o = ". Calculate the distance (in the unit of ao) of the radial node(s) from the ao nucleus. Using r as the x-axis, sketch out the diagrams of both P3s and 4žs. c) probability density occurs (i.e. peaks in the diagrams from part b), what would you do? Briefly describe in words. You do not need to solve for the exact numbers. If you were to calculate the distance from the nucleus where maximum
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