Homework # 4 Chem. 1410 Assigned Feb 7, 2001. Due Feb 15 2001

 

  1. For the H atom show that the Lz and L2 operators commute with the Hamiltonian. What is the significance of this?

 

  1. Is the 2px orbital an eigenfunction of Lz? Of L2? Show your work? Is the situation different for the 2p+ orbital?

 

  1. Show that the 1s 2s transition of the H atom is dipole forbidden.

 

  1. What is the average value of r for the 2s orbital of hydrogen? How does this differ from the most probable value of r?