10. Consider the 2s orbital for a hydrogenic atom: 1 (2-pk 2Zr 2/2 a. where ao = 52.9 pm and na, For an atom with Z = 1 (i.e. hydrogen), answer the following: a. At what distance from the nucleus is the radial node for this orbital? That is, at what value of r is 42 (and Y) =0? b. What is the most probable (highest probability density!) value of the radius for this orbital? (HINT: form the radial distribution probability function, then find its maximum.)

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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10. Consider the 2s orbital for a hydrogenic atom:
1
(2-,
2Zr
%3D
2/2 a.
where ao = 52.9 pm
and
na.
For an atom with Z = 1 (i.e. hydrogen), answer the following:
a. At what distance from the nucleus is the radial node for this orbital?
That is, at what value of r is 42 (and 4) =0?
b. What is the most probable (highest probability density!) value of the radius for this orbital?
(HINT: form the radial distribution probability function, then find its maximum.)
Transcribed Image Text:10. Consider the 2s orbital for a hydrogenic atom: 1 (2-, 2Zr %3D 2/2 a. where ao = 52.9 pm and na. For an atom with Z = 1 (i.e. hydrogen), answer the following: a. At what distance from the nucleus is the radial node for this orbital? That is, at what value of r is 42 (and 4) =0? b. What is the most probable (highest probability density!) value of the radius for this orbital? (HINT: form the radial distribution probability function, then find its maximum.)
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