Periodic Potential Energy Wells Exercise #2

Please answer the  following 3 questions regarding the Physlet:

Description

Shown in the upper graph is the transcendental equation describing the bound-state energy levels of the Kronig-Penney model.  The blue lines represent the maximum of one side of the equation and the red curve represents the other side of the equation.  The bottom graph shows the potential energy function: the well width = 1 and the well depth = 6. You may enter the well spacing, b,  using the slider. Restart

Questions

  1. For the allowed changes in potential energy well spacing, describe the band structure.
  2. As the well spacing increases, what happens to the band of energies? 
  3. Can you describe why?

Credits

Script by Mario Belloni.
Questions by Mario Belloni.
Java applets by Wolfgang Christian.