8. Consider the molecule H2+ 3 , in which the three protons are arranged linearly. Let proton A be on the left, proton B be in the middle and proton C be on the right, with the distance between proton A and B the same as the distance between proton B and C. Here we will use the LCAO approach to construct the three lowest energy molecular orbitals. a. Write down the electronic Hamiltonian Hˆ elec. You may use the notation Kˆ e for the kinetic energy, but you must write down explicit forms for Ven and Vee.

Under what conditions will a gas be most likely to exhibit the ideal gas properties predicted by the ideal gas law? 1)high pressures and high temperature, because particles are forced closer together with higher kinetic energy, so intermolecular forces of attraction are weaker 2)high pressure and low temperature, because particles are forced closer together and moving slower, so the volume of the particles is less significant 3) low pressure and high temperature, because particles are spread farther apart and moving faster, so the intermolecular forces of attraction are weaker 4)low pressure and low temperature, because particles are spread farther apart with lower kinetic energy, so the volume of the particles is less significant