Consider an H2+ ion. In the figure below, HẠ, HB, and e represent the two nuclei...
Consider an H2+ ion. In the figure below, HẠ, HB, and e represent the two nuclei and the electron, respectively, and all the relevant distances are defined. You must use atomic units for this problem. (a) (4 points) Write down the Born-Oppenheimer Hamiltonian for the H2+ ion. R HA H (b) (6 points) The anti-bonding molecular orbital is expressed as V = N_(ls (r) – 1s (r)), where ls, (r) and 1s; (r) are hydrogen Is orbitals centered at nuclei Ha and HB, respectively, and r is the spatial coordinates of the electron. Determine the normalization constant N. Show the work and express the answer in terms of S. S = (18]1w) = Soulspace drls, (r)lsg (r)