Hydrogen-like atom radial distribution function

Figure 6.5 The radial distribution functions > (r) for the hydrogen-like atom.

We are also interested in knowing the total probability of finding the electron in the hydrogen atom at a particular distance from the nucleus. Imagine that the space around the hydrogen nucleus is made up of a series of thin spherical shells (rather like layers in an onion), as shown in Fig. 12.17(a). When the total probability of finding the electron in each spherical shell is plotted versus the distance from the nucleus, the plot in Fig. 12.17(b) is obtained. This graph is called the radial probability distribution, which is a plot of Atrr R versus r, where R represents the radial part of the wave function. 

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