Homework Set # 12 – Not Due

  
   
1) Marder (19.1)

2) Marder (19.2)

3) Marder (24.2)

4) Apply Hund rules to find the ground state of a) Eu++ in the configuration 4f7 5s2p6; b) Yb3+ in the configuration 4f135s2p6; and c) Tb3+ in the configuration 4f85s2p6. Provide your result using spectroscopic notation 2S+1LJ.

5) a) Find the magnetization as a function of magnetic field and temperature for a system of magnetic ions with S=1, moment μB, and concentration n.

     b) Find M in the limit μBB<<kT.