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As you bring the atoms closer and closer (starting from a large distance)
you first have no overlap between 3s and 3p, then the bonding and
antibonding states from the huge number of atoms create bands which spread
out and overlap, making a huge (as in many states as well as wide energy
range) band that makes lead a conductor, for example. As you continue to
reduce the separation this "huge" band splits again into two equal parts,
which gives us band gaps for Ge, Si and C. It is that final split that I am
fuzzy on.