Consider the discussion of radial probability functions in "A Closer Look" in Section 6.6. (a) What is the difference between the probability density as a function of r and the radial probability function as a function of r?
(b) What is the significance of the term4Ï€r2 in the radial probability functions for the s orbital?
(c) Based on Figures 6.18 and 6.21, make sketches of what you think the probability density as a function of r and the radial probability function would look like for the 4s orbital of the hydrogen atom.

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Most probable distance from nucleus 0.5 Å Most probable distance from nucleus3 1 Node Most probable distance from nucleus~7 2 Nodes 2s 3s 0 1 2 3 4 5 6 7 8 9 10 Distance from the nucleus, r (A) 1s 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Distance from the nucleus, r (A) Distance from the nucleus, r (Á) 2s Node Nodes IM 1s 2s 11 1,1 0 1s n=2,l=0 2s n=3,l=0 3s