Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Textbook Question
Chapter 7, Problem 178CP
For hydrogen atoms, the wave function for the state n = 3, l = 0, ml = 0 is
where σ= r/a0 and a0 is the Bohr radius (5.29 × 10−11 m). Calculate the position of the nodes for this wave function.
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The wave function for the 2s orbital in the hydrogen atom is
ψ2s=1/√2a03 (1-p/2) e-p/2
where a0 is the value of the radius of the first Bohr orbit, equal to 0.529 nm; ρ is Z(r/a0); and r is the distance from the nucleus in meters.
Calculate the distance from the nucleus (in nm) of the node of the 2s wave function.
What physical meaning is attributed to ψ², the square of the wave function?
For a hydrogen atom, calculate the energy of an electron with principle quantum number n=4, in unit J and then convert it to cm^-1.
Chapter 7 Solutions
Chemistry
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