1. Sketch the p and p* molecular orbitals formed from the over lap of 2 p orbitals that lie perpendicular to the bond axis. Show both the MO and the AO's that product them. Indicate the sign of the amplitudes of both the MO's and the AO's.
2. Molecular orbital theory of homonuclear diatomic molecules.
a) Write down the electron configuration of O2 and N2 in terms of their molecular orbitals.
b) Draw the Lewis structures of O2 and N2.
c) Correlate the two electronic structures.
d) Why is oxygen paramagnetic.
3. a) Take the partial derivative of the following equation with respect to ca when cb is constant.
<E> = (ca2HAA + 2cacbHAB+cb2HBB)/(ca2+cb2)
b) That all three equations:
xca+ cb =0
xcb + ca =0
cb2 +ca2 =1
are satisfied if x=1 and ca = -cb = (2)-.5
c) If x = -1 then what is the relation between ca and cb?