Module 2 : Molecular Structure
Lecture 8 : Hetenuclear Diatomics
  8.5

Problems

1)

Calculate the bond order in hybridized CO and unhybridized CO. Extend the same analogy to hybridized and unhybridized NO, NO+ and NO - using the same energy level diagrams as those for CO.
   
2) What is the difference between a hybrid orbital and a molecular orbital ? Let s be an s orbital with energy Es (ie Es = d where H is the Hamiltonian operator for the atom) and Ep be the energy of , a p orbital. If the hybrid orbital is Cs + Cpp, show that the energy of the hybrid orbital is Cs2 Es + Cp2 Ep. Note that , and

 

 
3) The dipole moment D is defined as the vector whose direction is from the -ve charge to the positive charge.


  D = qr. q is the charge that is separated by distance r. For +e and -e separated by 1 , D = 4.8 Debye = 4.8 x 10-18 esu.cm. The dipole moments of HF, HCl, HBr and CO are 1.9, 0.9, 0.7 and 1.05 Debye respectively and their bond lengths are 0.91, 1.27, 1.41 and 1.1 . Assuming that the excess or separated charges are localised at the nuclei, what are the charges that are separated in these molecules?
   
4) Sketch the binding energy (vs internuclear distance r ) for CO. What is the reference (or zero) value of energy that you have to substract from the energy of CO to get the binding energy?
   
5) What are the electronic configuration of molecules HF, LiF and NO, CN and MgO?
   
6) KBr has a bond length of 2.94 . If there is a separation of an unit of charge (i.e. electronic charge, e ) in KBr with the molecule behaving as K + Br-, what will be the dipole moment? Assuming that the repulsive forces between K + and Br- are very small compared to attractive forces, how much energy is needed to separate K+ from K + Br- at 2.94?