Find the directions in space where the angular probability density for the l = 2, ml = 0 electron in hydrogen has its maxima and minima. This table presents the wave functions of hydrogen atom electron orbitals, categorized by quantum numbers $ n $, $ l $, and $ m_l $. Each row corresponds to a specific combination of these quantum numbers and provides the expressions for the radial, polar, and azimuthal components of the wave functions.### Table Columns:- **$ n $:** Principal quantum number- **$ l $:** Azimuthal quantum number- **$ m_l $:** Magnetic quantum number- **$ R(r) $:** Radial wave function- **$ \Theta(\theta) $:** Polar angle component- **$ \Phi(\phi) $:** Azimuthal angle component### Detailed Entries:#### $ n = 1 $, $ l = 0 $, $ m_l = 0 $- **$ R(r) $:** $ \frac{2}{a_0^{3/2}} e^{-r/a_0} $- **$ \Theta(\theta) $:** $ \frac{1}{\sqrt{2}} $- **$ \Phi(\phi) $:** $ \frac{1}{\sqrt{2\pi}} $#### $ n = 2 $, $ l = 0 $, $ m_l = 0 $- **$ R(r) $:** $ \frac{1}{(2a_0)^{3/2}} \left( 2 - \frac{r}{a_0} \right) e^{-r/2a_0} $- **$ \Theta(\theta) $:** $ \frac{1}{\sqrt{2}} $- **$ \Phi(\phi) $:** $ \frac{1}{\sqrt{2\pi}} $#### $ n = 2 $, $ l = 1 $, $ m_l = 0 $- **$ R(r) $:** $ \frac{1}{\sqrt{3}(2a_0)^{3/2}} \frac{r}{a_0} e^{-r/2a_0} $- **$ \Theta(\theta) $:** $ \sqrt{\frac{3}{2}} \cos \theta $- **$ \Phi(\phi) $:** \( \frac{

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