In: Physics
N identical semiconducting nanoparticles, each of them shows discrete energy levels, are chemically bound to form one-dimensional chain. The wave functions for this one-dimensional chain can be combined with anti-bounding and bounding configurations to form energy bands. Assuming that you can adjust the number of nanoparticles, discuss what will happen to the bandgap when you increase the number of particles. Give your discussion based on molecular orbital theory.