The tables above show the radial wavefunctions and the spher atomic orbitals. Write down the complete wavefunction of a Hydrogen atomic orbital which has quantum numbers of (n, I, mi) = (3, 1, 1) and simplify it as much as possible. a. ut how many nodes it has. Calculate the distance of the

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
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Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.28E: A particle on a ring has a wavefunction =eim, where =0to2 and m is a constant. a Normalize the...
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The tables above show the radial wavefunctions and the spherical harmonics wavefunctions for Hydrogen
atomic orbitals.
a. Write down the complete wavefunction of a Hydrogen atomic orbital which has quantum numbers of
(n, I, mi) = (3, 1, 1) and simplify it as much as possible.
b. Draw the radial plot (R(r) vs r) and find out how many nodes it has. Calculate the distance of the
radial node from the nucleus.
Write down the real part wavefunction of this orbital and find out the angular node(s).
d. How many total nodes does this orbital has?
с.
Transcribed Image Text:The tables above show the radial wavefunctions and the spherical harmonics wavefunctions for Hydrogen atomic orbitals. a. Write down the complete wavefunction of a Hydrogen atomic orbital which has quantum numbers of (n, I, mi) = (3, 1, 1) and simplify it as much as possible. b. Draw the radial plot (R(r) vs r) and find out how many nodes it has. Calculate the distance of the radial node from the nucleus. Write down the real part wavefunction of this orbital and find out the angular node(s). d. How many total nodes does this orbital has? с.
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