In this problem, you will calculate the probability of finding an electron within a sphere of radius

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In this problem, you will calculate the probability of finding an electron within a sphere of radius r for the H atom in its ground state.

a. Show, using integration by parts,

Su dv = uv – įvdu, that [r*e

b. Using this result, show that the probability density of finding the electron within a sphere of radius r for the hydrogen atom in its ground state is

2r +-le 2rla, 1+ 1- 1- -2rla, le ao ao

c. Evaluate this probability density for r = 0.25 a0, r = 2.25 a0, and r = 5.5 a0.

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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