Consider the discussion of radial probability functions in “A Closer Look” in Section. (a)...

Consider the discussion of radial probability functions in “A Closer Look” in Section. (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 term 4πr2 in the radial probability functions for the s orbitals? (c) Based on Figures and 6.22, make sketches of what you think the probability density as afunction of r and the radial probability function would look like for the 4s orbital of the hydrogen atom.

▲ Figure Radial probability functions for the 1s, 2s, and 3s orbitals of hydrogen. These plots show the probability of finding the electron as a function of distance from the nucleus. As n increases, the most likely distance at which to find the electron (the highest peak) moves farther from the nucleus.