In the following Figure - 9.4, we plot the radial functions  , the reduced radial functions  , and the radial probability densities  for different states of hydrogen atom. We will also see the plot for different orbitals of hydrogen atom.
The first orbit n = 1, l = 0 and  = 0, the K shell
- In this plot we can see the effect of the factor r in
 . Here,  goes to 2 (Bohr radius) at r = 0, while  goes to zero. The factor of r in also introduces a peak at 1.
- There is no node for 1s state.
- The probability density
 goes to zero at r = 0, it means that the probability of finding the electron at the nucleus is zero.  shows also a peak at 1 which is the same as Bohr radius and the peak value is 0.54.
- Conceptually, peaks in
 are radii near which an electron in a state  is most likely to be found.
- Because of the gradual decay of on the large-r side of this peak, the calculated mean radial position turns out to be larger than the location of the peak.
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