Drawing the offset dispersion relationship

What is the difference between a 1 atom dispersion, 1 atom dispersion with folded brillouin zone and 2 atoms dispersion? To what is this related?

@fennatimsi

It is the same idea as in the lecture where we discussed an atomic chain with unequal masses. We had to understand what happens to the two branch dispersion relation when the masses become equal.

Try to see if you can apply the same logic to the tight-binding problem that you mentioned.