Homework Assignments Physics 427-576

Fall 2005

1. Assigned Friday, September 30.  Due Friday, October 7 by 5 pm.
   Required:  states and their occupation in a quantum well
   Optional:  generating a surface state in a 1-D Kronig Penney model.
   Homework 1 Assignment  (pdf file)
   Solution (pdf)
   
   
   
2. Assigned friday October 14, Due Friday, October 21 by 5 pm.
   a)  Solve the diffusion equation for circular islands to get a rough, dimensionally correct estimate of the average nucleation density of islands on a surface in the limit where all the nucleation occurs by 2 adatoms colliding on a terrace.  It depends on the ratio of flux to diffusion constant.
   b)  Solve a simple model for the introduction of misfit dislocations in strained layer epitaxy.