1. Draw pictures of the orbitals in the H? square.
2. The MO wave functions for the H? triangle are
$\Psi_{a_1} = \chi_1 + \chi_2 + \chi_3$
$\Psi_{e_1} = 2\chi_1 - \chi_2 - \chi_3$
$\Psi_{e_2} = \chi_2 - \chi_3$
Where $\chi_1$, $\chi_2$, and $\chi_3$ are the 1s orbital functions on each H-atom in the triangle.
These MO functions are not normalized. Write orthonormal functions noting that the conditions for
normality and orthogonality are $\int \psi_a \psi_a ds = 1$ and $\int \psi_a \psi_b ds = 0$, respectively. Orthonormality holds
for both atomic orbital wave functions ($\chi_1$, $\chi_2$, and $\chi_3$) and the linear combinations that form molecular
orbital wave functions ($\psi_{a_1}$, and each $\psi_{e_i}$ function).
