4. The simplest non-ionic molecule is H2, In molecular orbital theory you determine the possible molecule orbitals from linear combination of atomic orbitals of the same symmetry. For the lowest energy MOs of H2, we use the Is atomic orbitals on each H-atom. H2 has 2 protons as nuclei and 2 electrons. Consequently, the lowest energy spatial MOs are given by e1(1)=(22sab)1/21(1s(a)1s(b)) With a similar function for e2. The term (22sab)1/21 is a normalization constant. As usual, all functions Tor must obey the Pauli principle and Tot=spacespin We can write the symmetric spatial function as space(sym)=+(1)+(2)21(+(1)(2)++(2)(1))(1)(2) Where the +and are defined above. a. Write space(anti). b. Show +(1)+(2) is symmetric to the interchange of i. Electrons 1 and 2 ii. Protons 1 and 2 c. Show +(1)+(2) is normalized. d. Show +(1)+(2) is orthogonal to (1)(2). e. Write the total wavefunctions rot=space(sym)spin(anti)=Tot=space(anti)spin(sym)=