By accounting for the periodicity of the wavefunction when affected by the periodic potential of a crystal lattice, the modified dispersion relation becomes: Ek0=2m2(k+G)2 considering the behavior of the dispersion relation in the [100] direction, derive expressions for E at the two critical points and H in the first Brillouin zone. Do this for two G vectors, G=[000] and G=[010]. (these points are indicated in the figure at right) Hint: Don't input real quantities for the constants (,,a,m), just leave those terms in the expression. Compare the resulting expressions to evaluate the relative magnitudes of the energies with respect to each other