Atomic Structure - Hard

The distances of spherical nodes from the nucleus for the given orbital are:

\Psi_{\text{radial}} = \frac{1}{9\sqrt{2}}\left(\frac{Z}{a_0}\right)^{3/2}\left[\sigma^2 - 4\sigma + 3\right] e^{-\sigma/2}

where

a_0

and

Z

are constants and

\sigma = \dfrac{2Zr}{na_0}