Energies with More Impurities
 
Suppose that you were to add several more impurity atoms to the solid. Before doing it, predict how the energies would change if the impurities have a greater charge than other atoms in the solid. Sketch the allowed energies for a solid in which several impurity atoms have been added.
 
Then modify the solid represented in the computer program to contain more than one impurity atom. Look at enough situations so that you can describe how the allowed energies change as the number of impurity atoms increase.