a. Calculate and graph the hydrogen radial wave function R_2p(r) over the interval 0 ≤ r ≤ 8aB.

b. Determine the value of r (in terms of a_B) for which R_2p(r) is a maximum.

c. Example 41.3 and Figure 41.8 showed that the radial probability density for the 2p state is a maximum at r = 4a_B. Explain why this differs from your answer to part b.

Figure 41.8

Transcribed Image Text:

P(r) 0.40- 1s 0.20- 0.00- 5а, 10а, 15ав 20а, 25а, PAr) 0.40 2p 25 0.20- 0.00+ 5ар 10а, 15ав 20а, 25ая PAr) 0.40- 0.20- 0.00+ 3d 3s 3p 5а, 10ав 15ад 20а, 25ар