a) 1ne Schrödinger equation for Li²+ is a2 + 87²m ax² ' ay² ™ əz² h? 3e? p = Eµ Briefly explain what each term in the equation represents. b) The wave function for the 3s orbital of Li2+ is P35 (27 – 180 + 20²) exp (–- 729na where o = 3. Calculate the distance (in the unit of ao) of the radial node(s) from the nucleus. Using r as the x-axis, sketch out the diagrams of both 35 and wžs. c) If you were to calculate the distance from the nucleus where maximum 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.

Chemistry & Chemical Reactivity
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ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
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Chapter6: The Structure Of Atoms
Section: Chapter Questions
Problem 47GQ: Which of the following are applicable when explaining the photoelectric effect? Correct any...
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Question 3
a) Ine Schrödinger equation for Li²+ is
h?
a2
a2
Зе?
8n2m ax2 ' y² ' az²
Briefly explain what each term in the equation represents.
b) The wave function for the 3s orbital of Li2+ is
(729ma) (27 – 180 + 20?) exp (-)
729па3,
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 35 and 43s.
If you were to calculate the distance from the nucleus where maximum
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.
Transcribed Image Text:Question 3 a) Ine Schrödinger equation for Li²+ is h? a2 a2 Зе? 8n2m ax2 ' y² ' az² Briefly explain what each term in the equation represents. b) The wave function for the 3s orbital of Li2+ is (729ma) (27 – 180 + 20?) exp (-) 729па3, 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 35 and 43s. If you were to calculate the distance from the nucleus where maximum 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.
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